Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource note Description An account of the resource 日常のノート note 日常のノートの記録 note テキストの自由記述 <div><span>&lt;!-- SPDX-License-Identifier: CC-BY-4.0 --&gt;</span></div> <div><span># 送配電の仕組み</span></div> <br /> <div><span>## 0. エグゼクティブサマリー</span></div> <br /> <div><span>| 観点 | 主要メッセージ |</span></div> <div><span>|---|---|</span></div> <div><span>| 系統拡張 | 再エネ主導の分散化で、基幹送電(HV)の強化と配電系統の逆潮流対応が同時進行。OCCTO系計画では2030年に向け連系線容量を+10 GW規模で増強。 |</span></div> <div><span>| 安定化技術 | HVDC、同期調相機、STATCOM、蓄電池が慣性・電圧維持を補完。需給調整市場（一次〜三次）の創設でリソース調達が制度化。 |</span></div> <div><span>| O&amp;M DX | SCADA/EMS、PMU、DGA（溶解ガス分析）などオンライン監視を標準化し、保護リレー・遮断器のライフサイクルをデータ駆動で管理。 |</span></div> <div><span>| サイバー/レジリエンス | IEC 62351/Zero Trust に沿った通信保護、災害レジリエンス向上のためのマイクログリッド/ブラックスタート計画が送配電会社に必須。 |</span></div> <div><span>| 投資優先度 | 送電線新設よりも既設線のリアルタイム定格化(DLR)、配電自動化（FA）、需要家側DR/VPPの活用が短期の実行解。 |</span></div> <br /> <div><span>## 目次</span></div> <div><span>1.</span><span> [</span><span>送配電システムの概要</span><span>]</span><span>(</span><span>#1-送配電システムの概要</span><span>)</span></div> <div><span>2.</span><span> [</span><span>エネルギーバランスと変換効率</span><span>]</span><span>(</span><span>#2-エネルギーバランスと変換効率</span><span>)</span></div> <div><span>3.</span><span> [</span><span>燃料供給システム</span><span>]</span><span>(</span><span>#3-燃料供給システム</span><span>)</span></div> <div><span>4.</span><span> [</span><span>発電技術の概要</span><span>]</span><span>(</span><span>#4-発電技術の概要</span><span>)</span></div> <div><span>5.</span><span> [</span><span>送配電システムの構成</span><span>]</span><span>(</span><span>#5-送配電システムの構成</span><span>)</span></div> <div><span>6.</span><span> [</span><span>周波数制御のメカニズム</span><span>]</span><span>(</span><span>#6-周波数制御のメカニズム</span><span>)</span></div> <div><span>7.</span><span> [</span><span>電圧制御と無効電力管理</span><span>]</span><span>(</span><span>#7-電圧制御と無効電力管理</span><span>)</span></div> <div><span>8.</span><span> [</span><span>保護協調システム</span><span>]</span><span>(</span><span>#8-保護協調システム</span><span>)</span></div> <div><span>9.</span><span> [</span><span>系統運用と需給調整</span><span>]</span><span>(</span><span>#9-系統運用と需給調整</span><span>)</span></div> <div><span>10.</span><span> [</span><span>変電所の役割と構成</span><span>]</span><span>(</span><span>#10-変電所の役割と構成</span><span>)</span></div> <div><span>11.</span><span> [</span><span>分散電源と系統連系</span><span>]</span><span>(</span><span>#11-分散電源と系統連系</span><span>)</span></div> <div><span>12.</span><span> [</span><span>直流送電と交流送電</span><span>]</span><span>(</span><span>#12-直流送電と交流送電</span><span>)</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 1. 送配電システムの概要</span></div> <br /> <div><span>送電網は超高圧で長距離を送る基幹系統と都市近傍の配電系統に大別され、周波数・電圧を一定に保つための系統運用（周波数制御・無効電力制御・需給調整市場）が重層的に配置されている。再エネ比率が上がるほど変動吸収用の揚水・蓄電池・デマンドレスポンスの重要度が増し、分散電源から配電網への逆潮流を前提に保護協調が再設計されている。</span></div> <br /> <div><span>## 2. エネルギーバランスと変換効率</span></div> <br /> <div><span>### 2.1 エネルギーバランスフロー</span></div> <br /> <div><span>「一次→二次→最終→サービスエネルギー」の変換効率を国際比較する指標。各段でのロス可視化が政策立案（省エネ補助・電源構成転換）の根拠になる。</span></div> <br /><br /> <div><span>### 2.2 エネルギーの分類</span></div> <br /> <div><span>**一次エネルギー**</span><span>: 自然界に存在しそのままの形で利用できるエネルギー</span></div> <div><span>-</span><span> 例: 石炭、原油、天然ガス、ウラン、水力、太陽光、風力</span></div> <br /> <div><span>**二次エネルギー**</span><span>: 一次エネルギーを変換したもの</span></div> <div><span>-</span><span> 例: 電力、ガソリン、灯油、都市ガス、水素</span></div> <br /> <div><span>**最終エネルギー消費**</span><span>: エネルギー需要のこと</span></div> <div><span>-</span><span> 例: 家庭・業務・運輸・産業でのエネルギー消費</span></div> <br /> <div><span>### 2.3 変換効率の指標</span></div> <br /> <div><span>**一次エネルギー換算**</span><span>: 最終エネルギー消費を一次エネルギーに換算した値</span></div> <div><span>-</span><span> 換算係数: 電力は発電効率を考慮（ZEH基準では2.7、これは発電効率約37%を考慮した値。発電方式により実際の効率は35-60%の範囲）</span></div> <div><span>-</span><span> 例: 最終エネルギー消費100kWhの場合、一次エネルギー換算は約270kWh（ZEH基準の換算係数2.7を適用）</span></div> <br /> <div><span>**エネルギー効率**</span><span>: 各段階での変換効率</span></div> <div><span>-</span><span> 発電効率: 一次エネルギー→電力（通常35-60%、発電方式により異なる）</span></div> <div><span>-</span><span> 送電効率: 発電所→需要家（通常95-98%、送電距離により異なる）</span></div> <div><span>-</span><span> 総合効率: 一次エネルギー→サービスエネルギー（通常30-50%）</span></div> <br /> <div><span>## 3. 燃料供給システム</span></div> <br /> <div><span>### 3.1 化石燃料の供給フロー</span></div> <br /> <div><span>採掘→輸送→貯蔵→転換→需要家という各段階でボトルネックが異なる。原油・ LNG は港湾能力と在庫規制、石炭は国内港湾荷役が律速になりやすい。</span></div> <br /><br /> <div><span>### 3.2 原子燃料サイクル</span></div> <br /> <div><span>ウラン鉱石の精錬から再処理までを閉ループで運用し、使用済燃料の Pu 回収と高レベル廃棄物の地層処分計画が並走する。</span></div> <br /> <div><span>**原子燃料サイクルの各段階**</span><span>:</span></div> <div><span>-</span><span> </span><span>**精錬**</span><span>: ウラン鉱石からウラン酸化物（U₃O₈）を抽出</span></div> <div><span>-</span><span> </span><span>**濃縮**</span><span>: ウラン235の含有率を3-5%に濃縮（天然ウランは0.7%）</span></div> <div><span>-</span><span> </span><span>**燃料加工**</span><span>: 濃縮ウランを燃料ペレットに加工し、燃料棒に封入</span></div> <div><span>-</span><span> </span><span>**原子炉**</span><span>: 核分裂反応によりエネルギーを発生</span></div> <div><span>-</span><span> </span><span>**再処理**</span><span>: 使用済燃料からプルトニウム（Pu）を回収</span></div> <div><span>-</span><span> </span><span>**地層処分**</span><span>: 高レベル廃棄物を地層深部に処分（数万年単位の管理が必要）</span></div> <br /> <div><span>### 3.3 石油供給の流れ</span></div> <br /> <div><span>鉱区開発→原油輸送→精製（常圧蒸留・接触改質）→製品タンク→二次物流。備蓄義務（70日）と緊急放出手順が運用される。</span></div> <br /> <div><span>**精製プロセス**</span><span>:</span></div> <div><span>-</span><span> </span><span>**常圧蒸留**</span><span>: 原油を加熱し、沸点の違いで分留（ガソリン、灯油、軽油、重油など）</span></div> <div><span>-</span><span> </span><span>**接触改質**</span><span>: 低オクタン価のナフサを高オクタン価のガソリンに改質</span></div> <div><span>-</span><span> </span><span>**備蓄義務**</span><span>: 石油備蓄法により、70日分の備蓄が義務付けられている</span></div> <br /> <div><span>### 3.4 液化天然ガス（LNG）の供給の流れ</span></div> <br /> <div><span>液化プラント→ LNG タンカー→気化基地→都市ガス・発電向けパイプライン。受入基地は再エネ余剰の吸収用途として水素混焼実証が進む。</span></div> <br /> <div><span>**LNGの特徴**</span><span>:</span></div> <div><span>-</span><span> </span><span>**体積**</span><span>: 気体の約1/600に縮小（-162°Cで液化）</span></div> <div><span>-</span><span> </span><span>**輸送**</span><span>: LNGタンカーによる海上輸送（通常12-17万m³級）</span></div> <div><span>-</span><span> </span><span>**貯蔵**</span><span>: 断熱タンクで-162°Cを維持（蒸発損失: 0.05-0.15%/日）</span></div> <br /><br /> <div><span>### 3.5 水素のカラー分類</span></div> <br /> <div><span>水素は製造方法により色分けされて分類されます：</span></div> <br /> <div><span>-</span><span> </span><span>**グレー水素**</span><span>: 化石燃料（主に天然ガスや石炭）から製造。製造過程で発生するCO₂は大気中に放出される。</span></div> <div><span>  </span><span>-</span><span> 製造方法: 水蒸気改質（SMR: Steam Methane Reforming）、部分酸化（POX）</span></div> <div><span>  </span><span>-</span><span> CO₂排出量: 約10kg-CO₂/kg-H₂</span></div> <div><span>-</span><span> </span><span>**ブルー水素**</span><span>: グレー水素と同様に化石燃料から製造されるが、発生したCO₂を回収・貯留（CCS）することで排出を抑える。</span></div> <div><span>  </span><span>-</span><span> CO₂回収率: 通常90%以上</span></div> <div><span>  </span><span>-</span><span> CO₂排出量: 約1kg-CO₂/kg-H₂以下</span></div> <div><span>-</span><span> </span><span>**グリーン水素**</span><span>: 再生可能エネルギーによる電気分解で水から生成。CO₂排出ゼロ。</span></div> <div><span>  </span><span>-</span><span> 製造方法: アルカリ電解、PEM電解、SOEC（固体酸化物電解）</span></div> <div><span>  </span><span>-</span><span> 電力消費: 約50-55kWh/kg-H₂</span></div> <div><span>-</span><span> </span><span>**ターコイズ水素**</span><span>: メタン熱分解等で生成。副産物は固体炭素。CO₂排出は少ない。</span></div> <div><span>  </span><span>-</span><span> 製造方法: メタン熱分解（CH₄ → C + 2H₂）</span></div> <div><span>  </span><span>-</span><span> 副産物: カーボンブラック（固体炭素）</span></div> <div><span>-</span><span> </span><span>**イエロー水素**</span><span>: 原子力発電による電気を用いて水から製造。</span></div> <div><span>-</span><span> </span><span>**ブラウン水素**</span><span>: 褐炭など低品位石炭を使い高温ガス化で生成。CO₂排出多い。</span></div> <div><span>-</span><span> </span><span>**ホワイト水素**</span><span>: 地中や自然界に天然に存在する水素（天然水素／ジオジェニック水素）など。</span></div> <br /><br /> <div><span>製鉄所と水素</span></div> <div><span>高炉ガス・コークス炉ガスから副生する水素を PSA で分離し、加熱炉・燃料電池へ回す動きが加速。COURSE50 など還元剤転換実証は北九州・室蘭で継続中。</span></div> <br /> <div><span>燃料を天然ガスに転換する取り組みがある。</span></div> <div><span>都市ガス 13A への転換は熱需要部門の CO₂ 原単位低減と供給安定性向上を両立。 LNG サテライト供給とバイオメタン注入が地方で普及しつつある。</span></div> <div><span>熱供給事業</span></div> <div><span>地域熱供給はヒートネットワークによるピークカットと災害レジリエンスを狙う。紫波町はバイオマスボイラと地中熱を組み合わせたコージェネ熱供給で寒冷地の公共施設需要をまかなう。</span></div> <br /> <div><span>## 4. 発電技術の概要</span></div> <br /> <div><span>### 4.1 火力発電</span></div> <br /> <div><span>ガスタービン単独と蒸気複合で熱効率が異なる。排ガス熱回収・水素混焼・アンモニア混焼が脱炭素の鍵。</span></div> <br /> <div><span>**火力発電の種類**</span><span>:</span></div> <div><span>-</span><span> </span><span>**ガスタービン単独**</span><span>: $$</span><span>熱効率</span><span>35</span><span>-</span><span>40</span><span>%$$</span><span>（LHV基準）</span></div> <div><span>-</span><span> </span><span>**コンバインドサイクル**</span><span>: $$</span><span>ガスタービン+蒸気タービン、熱効率</span><span>55</span><span>-</span><span>64</span><span>%$$</span><span>（LHV基準）</span></div> <div><span>-</span><span> </span><span>**石炭火力**</span><span>: 超々臨界圧（USC）で熱効率45-50%（HHV基準）</span></div> <br /> <div><span>**コンバインドサイクル化**</span><span>:</span></div> <div><span>ガスタービン→排熱回収ボイラ→蒸気タービンの複合。最新機は 1,650℃ 素材と空冷技術で 64%LHV を超える。</span></div> <br /> <div><span>**コンバインドサイクルの構成**</span><span>:</span></div> <div><span>-</span><span> </span><span>**ガスタービン**</span><span>: 燃焼ガスでタービンを回転（1,300-1,650°C）</span></div> <div><span>-</span><span> </span><span>**排熱回収ボイラ（HRSG）**</span><span>: 排ガス熱で蒸気を発生（400-600°C）</span></div> <div><span>-</span><span> </span><span>**蒸気タービン**</span><span>: 発生した蒸気でタービンを回転</span></div> <div><span>-</span><span> </span><span>**総合効率**</span><span>: ガスタービン単独の約1.5倍</span></div> <br /> <div><span>### 4.2 水力発電</span></div> <br /> <div><span>ダム式・流込み式・揚水式で役割が異なる。揚水は夜間余剰電力を蓄え昼間に放出し、周波数調整力として評価される。</span></div> <br /> <div><span>**水力発電の種類**</span><span>:</span></div> <div><span>-</span><span> </span><span>**ダム式**</span><span>: ダムに水を貯留し、需要に応じて発電（調整池式、貯水池式）</span></div> <div><span>-</span><span> </span><span>**流込み式**</span><span>: 河川の自然流量を利用して発電（出力変動が大きい）</span></div> <div><span>-</span><span> </span><span>**揚水式**</span><span>: 夜間の余剰電力で下池から上池へ揚水し、昼間のピーク時に発電</span></div> <div><span>  </span><span>-</span><span> 効率: 揚水・発電の総合効率70-80%</span></div> <div><span>  </span><span>-</span><span> 容量: 通常100-2000MW</span></div> <div><span>  </span><span>-</span><span> 応答時間: 数分（起動から定格出力まで）</span></div> <br /> <div><span>### 4.3 原子力発電</span></div> <br /> <div><span>軽水炉（BWR/PWR）が主流で、リプレース時に重大事故対策設備・特重施設が要求される。</span></div> <br /> <div><span>**原子力発電の種類**</span><span>:</span></div> <div><span>-</span><span> </span><span>**BWR（沸騰水型原子炉）**</span><span>: 原子炉内で直接蒸気を発生</span></div> <div><span>-</span><span> </span><span>**PWR（加圧水型原子炉）**</span><span>: 一次冷却材で熱を運び、二次系で蒸気を発生</span></div> <div><span>-</span><span> </span><span>**安全性**</span><span>: 制御棒・冷却材・格納容器の三重防護で安全性を確保</span></div> <br /> <div><span>**核分裂反応**</span><span>:</span></div> <div><span>重い原子核が分裂してエネルギーを放出。</span></div> <div><span>-</span><span> </span><span>**反応式**</span><span>: $$</span><span>²³⁵U + n → ²³⁶U* → 分裂生成物 + </span><span>2</span><span>-</span><span>3</span><span>n + 約</span><span>200</span><span>MeV$$</span></div> <div><span>-</span><span> </span><span>**連鎖反応**</span><span>: 中性子が次の核分裂を誘発</span></div> <div><span>-</span><span> </span><span>**制御**</span><span>: 制御棒で中性子を吸収し、反応を制御</span></div> <br /> <div><span>**核分裂反応の詳細メカニズム**</span><span>:</span></div> <br /><br /> <div><span>**核分裂反応の数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**核分裂断面積**</span><span>: （²³⁵U、熱中性子）</span></div> <div><span>  </span><span>-</span><span> $$1 \</span><span>text</span><span>{ barn} = 10^{-28} \</span><span>text</span><span>{ m}^2$$</span></div> <div><span>-</span><span> </span><span>**平均中性子数**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 即発中性子: 99.4%</span></div> <div><span>  </span><span>-</span><span> 遅発中性子: 0.6%</span></div> <div><span>-</span><span> </span><span>**実効増倍率**</span><span>: </span></div> <div><span>  </span><span>-</span><span> k_inf: 無限増倍率</span></div> <div><span>  </span><span>-</span><span> P: 非漏れ確率</span></div> <div><span>  </span><span>-</span><span> 臨界: $$</span><span>k_{eff} = </span><span>1.0</span><span>$$</span></div> <div><span>-</span><span> </span><span>**出力制御**</span><span>: </span></div> <div><span>  </span><span>-</span><span> P₀: 初期出力</span></div> <div><span>  </span><span>-</span><span> τ: 中性子寿命（即発: 10⁻⁴秒、遅発: 0.1-80秒）</span></div> <div><span>-</span><span> </span><span>**熱出力**</span><span>: </span></div> <div><span>  </span><span>-</span><span> N_f: 核分裂数/s</span></div> <div><span>  </span><span>-</span><span> E_f: 核分裂エネルギー（200MeV = 3.2×10⁻¹¹J）</span></div> <div><span>  </span><span>-</span><span> f: 変換効率（通常0.3-0.4）</span></div> <div><span>-</span><span> </span><span>**電力出力**</span><span>: </span></div> <div><span>  </span><span>-</span><span> η_thermal: 熱効率（BWR/PWR: 33-35%）</span></div> <div><span>  </span><span>-</span><span> 出力: 100-1400MW</span></div> <br /> <div><span>**同期発電機の詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**周波数と回転数の関係**</span><span>: $$</span><span>f = </span><span>\</span><span>frac</span><span>{p </span><span>\</span><span>times n}{</span><span>120</span><span>}$$</span></div> <div><span>  </span><span>-</span><span> f: 周波数（Hz）、p: 極数、n: 回転数（rpm）</span></div> <div><span>  </span><span>-</span><span> 50Hz系統: $$</span><span>n = </span><span>\</span><span>frac</span><span>{</span><span>3000</span><span>}{p} </span><span>\</span><span>text</span><span>{ rpm}$$</span><span>（2極: 3000rpm、4極: 1500rpm）</span></div> <div><span>  </span><span>-</span><span> 60Hz系統: $$</span><span>n = </span><span>\</span><span>frac</span><span>{</span><span>3600</span><span>}{p} </span><span>\</span><span>text</span><span>{ rpm}$$</span><span>（2極: 3600rpm、4極: 1800rpm）</span></div> <div><span>-</span><span> </span><span>**誘導起電力**</span><span>: $$</span><span>E = </span><span>4.44</span><span> </span><span>\</span><span>times k_w </span><span>\</span><span>times N </span><span>\</span><span>times f </span><span>\</span><span>times </span><span>\</span><span>Phi$$</span></div> <div><span>  </span><span>-</span><span> k_w: 巻線係数、N: 巻数、Φ: 磁束（Wb）</span></div> <div><span>-</span><span> </span><span>**同期インピーダンス**</span><span>: $$</span><span>X_s = X_a + X_</span><span>\</span><span>sigma$$</span></div> <div><span>  </span><span>-</span><span> X_a: 電機子反作用リアクタンス、X_σ: 漏れリアクタンス</span></div> <div><span>  </span><span>-</span><span> 通常: 1.0-2.0 pu</span></div> <div><span>-</span><span> </span><span>**端子電圧**</span><span>: $$</span><span>V_t = E - I </span><span>\</span><span>times (R_a + jX_s)$$</span></div> <div><span>  </span><span>-</span><span> E: 誘導起電力、I: 電機子電流、R_a: 電機子抵抗</span></div> <div><span>-</span><span> </span><span>**電圧調整率**</span><span>: $$</span><span>\</span><span>text</span><span>{VR} = </span><span>\</span><span>frac</span><span>{V_{nl} - V_{fl}}{V_{fl}} </span><span>\</span><span>times </span><span>100</span><span>\%$$</span></div> <div><span>  </span><span>-</span><span> V_nl: 無負荷電圧、V_fl: 定格負荷電圧</span></div> <div><span>-</span><span> </span><span>**ガバナ制御**</span><span>: $$</span><span>\</span><span>Delta P = -K </span><span>\</span><span>times </span><span>\</span><span>Delta f$$</span></div> <div><span>  </span><span>-</span><span> K: 周波数特性（1-5%MW/Hz）</span></div> <div><span>-</span><span> </span><span>**ACE計算**</span><span>: $$</span><span>\</span><span>text</span><span>{ACE} = </span><span>\</span><span>Delta P + B </span><span>\</span><span>times </span><span>\</span><span>Delta f$$</span></div> <div><span>  </span><span>-</span><span> ΔP: 連系線潮流偏差（MW）、B: 周波数バイアス係数（0.1-0.5%MW/Hz）、Δf: 周波数偏差（Hz）</span></div> <div><span>-</span><span> </span><span>**系統慣性定数**</span><span>: $$</span><span>H = </span><span>\</span><span>frac</span><span>{E_k}{S_{base}} = </span><span>\</span><span>frac</span><span>{</span><span>0.5</span><span> </span><span>\</span><span>times J </span><span>\</span><span>times </span><span>\</span><span>omega^</span><span>2</span><span>}{S_{base}}$$</span></div> <div><span>  </span><span>-</span><span> E_k: 運動エネルギー（MJ）、S_base: 基準容量（MVA）、J: 慣性モーメント（kg·m²）</span></div> <div><span>  </span><span>-</span><span> 通常: 5-10秒</span></div> <div><span>-</span><span> </span><span>**周波数変化率**</span><span>: $$</span><span>\</span><span>frac</span><span>{df}{dt} = </span><span>\</span><span>frac</span><span>{</span><span>\</span><span>Delta P}{</span><span>2</span><span>H </span><span>\</span><span>times f_</span><span>0</span><span> </span><span>\</span><span>times S_{</span><span>\</span><span>text</span><span>{base}}}$$</span></div> <div><span>  </span><span>-</span><span> ΔP: 需給差（MW）、H: 系統慣性定数（秒）、f_0: 基準周波数（Hz）、S_base: 基準容量（MVA）</span></div> <br /> <div><span>**送電線の等価回路と伝送特性の詳細解析**</span><span>:</span></div> <br /> <div><span>```mermaid</span></div> <div><span>graph LR</span></div> <div><span>    Vs((送電端 Vs)) -- R+jX --&gt; Vr((受電端 Vr))</span></div> <div><span>    Vs -- B/2 --&gt; Shunt1((並列アドミタンス B/2))</span></div> <div><span>    Vr -- B/2 --&gt; Shunt2((並列アドミタンス B/2))</span></div> <div><span>    Vr --&gt; Ferranti{{フェランチ効果}}</span></div> <div><span>    Ferranti --&gt;|軽負荷・長距離| VoltageRise(電圧上昇 ΔV)</span></div> <div><span>    Vs -.-&gt;|潮流角 δ| Vr</span></div> <div><span>```</span></div> <br /> <div><span>図4-1 送電線π等価回路と潮流プロファイル: π等価回路上でR/X/Bが電圧降下・充電電流・無効電力補償へ与える影響と、軽負荷長距離時のフェランチ効果を示す。</span></div> <div><span>**送電線の詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**抵抗**</span><span>: $$</span><span>R = </span><span>\</span><span>rho </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{l}{A}$$</span></div> <div><span>  </span><span>-</span><span> 温度依存: $$</span><span>R(T) = R_</span><span>0</span><span> </span><span>\</span><span>times (</span><span>1</span><span> + </span><span>\</span><span>alpha </span><span>\</span><span>times (T - T_</span><span>0</span><span>))$$</span></div> <div><span>  </span><span>-</span><span> ρ: 導体の抵抗率（Ω·m）、l: 長さ（m）、A: 断面積（m²）</span></div> <div><span>  </span><span>-</span><span> 通常: 0.05-0.2 Ω/km</span></div> <div><span>-</span><span> </span><span>**リアクタンス**</span><span>: $$</span><span>X = </span><span>2</span><span>\</span><span>pi f L = </span><span>2</span><span>\</span><span>pi f </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{</span><span>\</span><span>mu_</span><span>0</span><span>}{</span><span>2</span><span>\</span><span>pi} </span><span>\</span><span>times </span><span>\</span><span>ln(D/r)$$</span></div> <div><span>  </span><span>-</span><span> L: インダクタンス（H/km）、D: 導体間距離（m）、r: 導体半径（m）</span></div> <div><span>  </span><span>-</span><span> 通常: 0.3-0.5 Ω/km</span></div> <div><span>  </span><span>-</span><span> R/X比: 0.1-0.5</span></div> <div><span>-</span><span> </span><span>**サセプタンス**</span><span>: $$</span><span>B = </span><span>2</span><span>\</span><span>pi f C = </span><span>2</span><span>\</span><span>pi f </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{</span><span>2</span><span>\</span><span>pi</span><span>\</span><span>varepsilon_</span><span>0</span><span>}{</span><span>\</span><span>ln(D/r)}$$</span></div> <div><span>  </span><span>-</span><span> C: 静電容量（F/km）</span></div> <div><span>  </span><span>-</span><span> 通常: 3-5 μS/km</span></div> <div><span>-</span><span> </span><span>**電圧降下**</span><span>: $$</span><span>\</span><span>Delta V = </span><span>\</span><span>frac</span><span>{P </span><span>\</span><span>times R + Q </span><span>\</span><span>times X}{V}$$</span></div> <div><span>  </span><span>-</span><span> 通常: 2-5%</span></div> <div><span>-</span><span> </span><span>**送電損失**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{loss}} = I^</span><span>2</span><span> </span><span>\</span><span>times R = </span><span>\</span><span>frac</span><span>{P^</span><span>2</span><span> + Q^</span><span>2</span><span>}{V^</span><span>2</span><span>} </span><span>\</span><span>times R$$</span></div> <div><span>  </span><span>-</span><span> 損失率: 2-5%（通常）、5-10%（長距離）</span></div> <div><span>-</span><span> </span><span>**送電電力**</span><span>: $$</span><span>P = </span><span>\</span><span>frac</span><span>{V_s </span><span>\</span><span>times V_r}{X} </span><span>\</span><span>sin</span><span>\</span><span>delta$$</span></div> <div><span>  </span><span>-</span><span> 最大: $$</span><span>P_{</span><span>\</span><span>max} = </span><span>\</span><span>frac</span><span>{V_s </span><span>\</span><span>times V_r}{X}$$</span><span>（δ = 90°）</span></div> <div><span>-</span><span> </span><span>**安定性**</span><span>: $$</span><span>\</span><span>frac</span><span>{dP}{d</span><span>\</span><span>delta} = </span><span>\</span><span>frac</span><span>{V_s </span><span>\</span><span>times V_r}{X} </span><span>\</span><span>cos</span><span>\</span><span>delta &gt; </span><span>0</span><span>$$</span></div> <div><span>  </span><span>-</span><span> δ &lt; 90°: 安定</span></div> <div><span>-</span><span> </span><span>**充電電流**</span><span>: $$</span><span>I_c = V </span><span>\</span><span>times B$$</span></div> <div><span>  </span><span>-</span><span> 長距離送電線では充電電流が大きくなる</span></div> <div><span>-</span><span> </span><span>**無効電力補償**</span><span>: $$</span><span>Q_{</span><span>\</span><span>text</span><span>{comp}} = V^</span><span>2</span><span> </span><span>\</span><span>times (B - B_{</span><span>\</span><span>text</span><span>{required}})$$</span></div> <br /> <div><span>**核融合**</span><span>:</span></div> <div><span>高温プラズマで軽元素を融合。実証段階で、トカマク・ヘリカルとレーザー方式に大別される。</span></div> <div><span>-</span><span> </span><span>**反応式**</span><span>: $$</span><span>D + T </span><span>\</span><span>rightarrow</span><span> {}^</span><span>4</span><span>\</span><span>text</span><span>{He} + n + </span><span>17.6</span><span>\,</span><span>\</span><span>text</span><span>{MeV}$$</span><span>（重水素+三重水素）</span></div> <div><span>-</span><span> </span><span>**条件**</span><span>: 1億度以上の高温プラズマが必要</span></div> <div><span>-</span><span> </span><span>**実用化**</span><span>: 2050年代以降の見込み</span></div> <br /> <div><span>### 4.4 再生可能エネルギー</span></div> <br /> <div><span>新エネルギー法（新エネルギー利用等の促進に関する特別措置法）では、石油代替エネルギーを「再生可能エネルギー」と「新エネルギー」に分類する。再生可能エネルギーは太陽光・風力・水力・地熱・バイオマスなど自然に存在するエネルギー源。新エネルギーは技術的に新しく、未だ普及段階にあるエネルギー（例：燃料電池、クリーンエネルギー自動車、コージェネレーション）を指す。</span></div> <br /> <div><span>**再生可能エネルギーの特徴**</span><span>:</span></div> <div><span>-</span><span> </span><span>**変動性**</span><span>: 天候や自然条件に依存するため、出力が変動</span></div> <div><span>-</span><span> </span><span>**系統連系**</span><span>: 系統の安定性に影響を与える可能性</span></div> <div><span>-</span><span> </span><span>**対策**</span><span>: 蓄電池、予測技術、デマンドレスポンスなどで変動を吸収</span></div> <br /> <div><span>**再生可能エネルギーの詳細比較**</span><span>:</span></div> <br /><br /> <div><span>**再生可能エネルギーの数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**太陽光発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> A: 面積（m²）</span></div> <div><span>  </span><span>-</span><span> G: 日射量（kWh/m²/年、地域により異なる）</span></div> <div><span>  </span><span>-</span><span> η: 変換効率（通常0.15-0.25）</span></div> <div><span>  </span><span>-</span><span> 年間: 1,000-1,500kWh/kW</span></div> <div><span>-</span><span> </span><span>**風力発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> ρ: 空気密度（1.2 kg/m³）</span></div> <div><span>  </span><span>-</span><span> A: 風車面積（m²）</span></div> <div><span>  </span><span>-</span><span> v: 風速（m/s）</span></div> <div><span>  </span><span>-</span><span> Cp: 風力係数（通常0.3-0.5）</span></div> <div><span>  </span><span>-</span><span> 出力は風速の3乗に比例</span></div> <div><span>-</span><span> </span><span>**水力発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> ρ: 水密度（1000 kg/m³）</span></div> <div><span>  </span><span>-</span><span> Q: 流量（m³/s）</span></div> <div><span>  </span><span>-</span><span> g: 重力加速度（9.8 m/s²）</span></div> <div><span>  </span><span>-</span><span> H: 落差（m）</span></div> <div><span>  </span><span>-</span><span> η: 効率（通常0.80-0.90）</span></div> <div><span>-</span><span> </span><span>**地熱発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> Q: 熱流量（kg/s）</span></div> <div><span>  </span><span>-</span><span> T_in, T_out: 入口・出口温度（°C）</span></div> <div><span>  </span><span>-</span><span> η: 効率（通常0.10-0.20）</span></div> <div><span>-</span><span> </span><span>**バイオマス**</span><span>: </span></div> <div><span>  </span><span>-</span><span> m: 燃料量（kg/h）</span></div> <div><span>  </span><span>-</span><span> LHV: 低発熱量（MJ/kg、木材で約15-20 MJ/kg）</span></div> <div><span>  </span><span>-</span><span> η: 効率（通常0.25-0.40）</span></div> <div><span>-</span><span> </span><span>**波力発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> ρ: 海水密度（1025 kg/m³）</span></div> <div><span>  </span><span>-</span><span> H: 波高（m）</span></div> <div><span>  </span><span>-</span><span> L: 波長（m）</span></div> <div><span>  </span><span>-</span><span> v: 波速（m/s）</span></div> <div><span>  </span><span>-</span><span> 効率: 20-40%</span></div> <div><span>-</span><span> </span><span>**海洋温度差発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> T_hot: 表層温度（通常25-30°C）</span></div> <div><span>  </span><span>-</span><span> T_cold: 深層温度（通常5-10°C）</span></div> <div><span>  </span><span>-</span><span> 効率: 3-5%（カルノー効率の20-30%）</span></div> <div><span>-</span><span> </span><span>**潮流発電**</span><span>: </span></div> <div><span>  </span><span>-</span><span> ρ: 海水密度（1025 kg/m³）</span></div> <div><span>  </span><span>-</span><span> A: タービン面積（m²）</span></div> <div><span>  </span><span>-</span><span> v: 流速（m/s、通常1-3m/s）</span></div> <div><span>  </span><span>-</span><span> Cp: 風力係数（通常0.3-0.5）</span></div> <div><span>  </span><span>-</span><span> 効率: 30-50%</span></div> <br /> <div><span>実用化されていないエネルギー</span></div> <div><span>波力、海洋温度差発電</span></div> <div><span>技術成熟度（TRL）が低く kWh コストが高いため、実証設備で性能データを蓄積しながら材料・係留方式の標準化が進められている。</span></div> <br /> <div><span>太陽放射エネルギが大半</span></div> <div><span>地球の大気圏外での太陽定数は約 1,361 W/m² で、気象条件と日射角によって地表到達量が減衰する。衛星観測データと気象庁の AMEDAS を組み合わせた年間日射量マップが系統接続検討の初期資料となる。</span></div> <div><span>概算計算</span></div> <div><span>住宅用太陽光は「定格容量(kW) × 1,000 h/年」を一次近似に、地域別係数で補正する。自家消費比率と逆潮流制限を同時に見積もることで経済性を把握する。</span></div> <br /> <div><span>風力発電</span></div> <div><span>陸上は系統制約と騒音規制が課題、洋上は着床式と浮体式でコスト構造が変わる。 CfD 制度整備と長期 O&amp;M 人材育成が重要。</span></div> <br /> <div><span>小水力発電</span></div> <div><span>ダムを使わない数千KW以下の発電機</span></div> <div><span>農業用水路・上下水道落差を活用する分散電源として FIT/FIP を活用。</span></div> <br /> <div><span>NEDOのマイク江尾水力発電所</span></div> <div><span>鳥取県江府町のマイクロ水力実証で、農業用水路に 140kW 級フランシス水車を設置し、遠隔監視と需要地近接の系統連系を検証している。</span></div> <br /> <div><span>地熱発電所</span></div> <br /> <div><span>プレート境界や火山帯に位置する高温岩体を活用し、フラッシュ・バイナリ・ハイブリッド方式を使い分ける。探査段階から温泉権益との協議と reinjection 設計が不可欠。</span></div> <br /><br /> <div><span>温泉資源保護におけるガイドライン（地熱発電関係）</span></div> <div><span>源泉枯渇を避けるため揚湯量管理・ reinjection（還元井戸）が義務化。温泉協会・事業者・自治体の三者協議で合意形成する。</span></div> <br /><br /> <div><span>温泉熱利用</span></div> <div><span>カスケード利用（浴用→暖房→ロードヒーティング）で付加価値を高め、低温側でのヒートポンプ併用が普及。</span></div> <br /> <div><span>ヒ素が含まれているなど別の面での地熱利用がむずかしい場合がある</span></div> <div><span>水質規制を満たすための除去コストが事業採算を左右する。晶析法・吸着法の選定が重要。</span></div> <br /> <div><span>バイオマスエネルギー</span></div> <div><span>木材やごみなど</span></div> <div><span>パームやしがら</span></div> <div><span>未利用材チップ・ PKS・都市ごみ RDF をガス化・混焼。持続可能性認証（RSPO、FSC）でトレーサビリティ確保が求められる。</span></div> <br /> <div><span>海洋温度差発電</span></div> <div><span>表層の温海水と深層の冷海水の温度差（約20℃以上）を利用してアンモニアなどの低沸点媒体を蒸発させ、タービンを回す。熱帯・亜熱帯の海域で適用可能。実証段階で、沖縄などで研究が進む。</span></div> <div><span>波力発電</span></div> <div><span>波の上下運動や前後運動を機械的エネルギーに変換。浮体式・振り子式・空気タービン式などがある。設置場所の制約とメンテナンスの難しさが課題。</span></div> <br /><br /> <div><span>潮流発電海流発電</span></div> <div><span>潮流発電は潮の干満による海水の流れを利用。海流発電は黒潮などの恒常的な海流を利用。浮体式タービンや可変ピッチ型が主流。設置深度と流速分布の把握が重要。</span></div> <div><span>潮汐力発電</span></div> <div><span>潮位差を利用してダムに海水を貯留し、満潮・干潮時にタービンを回す。潮位差方式は湾口地形に依存するため、適地が限られる。近年は流速方式が主役。</span></div> <br /><br /> <div><span>## 5. 送配電システムの構成</span></div> <br /> <div><span>### 5.1 電力システムの基本構成</span></div> <br /> <div><span>発電（集中・分散）→送電（基幹・地域間連系）→変電→配電（高圧・低圧）→需要家。需給指令所が SCADA・EMS でリアルタイム監視する。</span></div> <br /> <div><span>**送配電システムの階層構造**</span><span>:</span></div> <div><span>-</span><span> </span><span>**発電**</span><span>: 集中型発電所（火力、原子力、水力）と分散型発電（太陽光、風力）</span></div> <div><span>-</span><span> </span><span>**送電**</span><span>: 超高圧送電線（154-500kV）による長距離送電</span></div> <div><span>-</span><span> </span><span>**変電**</span><span>: 電圧変換（送電電圧→配電電圧→需要家電圧）</span></div> <div><span>-</span><span> </span><span>**配電**</span><span>: 配電線（6.6-77kV）による地域内送電</span></div> <div><span>-</span><span> </span><span>**需要家**</span><span>: 高圧需要家（6.6kV）と低圧需要家（200V/100V）</span></div> <br /><br /> <div><span>### 5.2 電気の基礎</span></div> <br /> <div><span>**静電気と動電気**</span><span>:</span></div> <div><span>-</span><span> </span><span>**静電気**</span><span>: 電荷が移動せずに蓄積された状態。電荷移動が瞬間的で蓄電性能が低い一方、静電誘導式発電はセンサー用途で活用される。</span></div> <div><span>-</span><span> </span><span>**動電気（電流）**</span><span>: 電荷が連続的に移動する状態。電力系統では動電気が使用される。</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 6. 周波数制御のメカニズム</span></div> <br /> <div><span>### 6.1 同期発電機の周波数制御</span></div> <br /> <div><span>同期発電機では回転数が周波数を決定する。回転数が上昇すると周波数が上昇し、回転数が減ると周波数が減少する。ガバナ制御で機械入力を調整し周波数偏差を抑制する。日本の電力系統は東日本50Hz・西日本60Hzの二系統に分かれている。</span></div> <br /> <div><span>**同期発電機の基本式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**周波数と回転数の関係**</span><span>: </span></div> <div><span>  </span><span>-</span><span> f: 周波数（Hz）</span></div> <div><span>  </span><span>-</span><span> p: 極数（通常2極または4極）</span></div> <div><span>  </span><span>-</span><span> n: 回転数（rpm）</span></div> <div><span>-</span><span> </span><span>**例**</span><span>: $$</span><span>2</span><span>極発電機で</span><span>3</span><span>$$</span><span>,000rpm → 50Hz、3,600rpm → 60Hz</span></div> <br /> <div><span>### 6.2 需給バランスと周波数変動</span></div> <br /> <div><span>電力系統では、発電量と消費量を常に一致させる必要があります（同時同量の原則）。需給バランスが崩れると周波数が変動します。</span></div> <br /> <div><span>**周波数変動のメカニズム**</span><span>:</span></div> <br /><br /> <div><span>**周波数変動の数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**周波数偏差**</span><span>: $$</span><span>\</span><span>Delta f = f - f_</span><span>0</span><span>$$</span></div> <div><span>  </span><span>-</span><span> f: 実周波数（Hz）、f₀: 基準周波数（50Hzまたは60Hz）</span></div> <div><span>  </span><span>-</span><span> 許容範囲: ±0.1Hz（通常）、±0.5Hz（緊急時）</span></div> <div><span>-</span><span> </span><span>**周波数変化率**</span><span>: $$</span><span>\</span><span>frac</span><span>{df}{dt} = </span><span>\</span><span>frac</span><span>{</span><span>\</span><span>Delta P}{</span><span>2</span><span>H </span><span>\</span><span>times f_</span><span>0</span><span> </span><span>\</span><span>times S_{base}}$$</span></div> <div><span>  </span><span>-</span><span> ΔP: 需給差（MW）、H: 系統慣性定数（通常5-10秒）、S_base: 基準容量（MVA）</span></div> <div><span>  </span><span>-</span><span> 目標: ±0.1 Hz/分以内</span></div> <br /> <div><span>### 6.3 周波数制御の階層構造</span></div> <br /> <div><span>周波数制御は3段階の階層構造で実現されます：</span></div> <br /> <div><span>```mermaid</span></div> <div><span>graph TD</span></div> <div><span>    DemandBias[需給偏差 ΔP/Δf] --&gt;|秒| GovPFC[一次制御: ガバナ・Droop]</span></div> <div><span>    GovPFC --&gt;|周波数緩和| SystemFreq[系統周波数]</span></div> <div><span>    SystemFreq --&gt;|ACE計算| ACE[ACE = ΔP + BΔf]</span></div> <div><span>    ACE --&gt;|分| AGC[二次制御: LFC/AGC]</span></div> <div><span>    AGC --&gt;|出力指令| Plants[複数発電機]</span></div> <div><span>    Plants --&gt;|十分| EDC[三次制御: EDC/OPF]</span></div> <div><span>    EDC --&gt;|最適配分| Commitment[運用計画・需給計画]</span></div> <div><span>```</span></div> <br /> <div><span>図6-1 周波数制御階層の応答フロー: 需給偏差から一次→二次→三次制御へ信号が受け渡される経路と応答時間スケールを示す。</span></div> <div><span>**一次制御（ガバナ制御）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**動作原理**</span><span>: 発電機のガバナが周波数偏差を検出し、自動的に出力を調整</span></div> <div><span>-</span><span> </span><span>**周波数特性**</span><span>: $$</span><span>K$$</span><span>（MW/Hz）</span></div> <div><span>  </span><span>-</span><span> 周波数が1Hz低下すると、K MWの出力が自動的に増加</span></div> <div><span>  </span><span>-</span><span> 通常: 1-5%MW/Hz（定格出力の1-5%/Hz）</span></div> <div><span>-</span><span> </span><span>**応答時間**</span><span>: 数秒以内</span></div> <div><span>-</span><span> </span><span>**調整範囲**</span><span>: 各発電機の定格出力の±2-5%</span></div> <div><span>-</span><span> </span><span>**例**</span><span>: 50Hz系統でK=2%MW/Hzの場合、0.1Hz低下で0.2%MWの出力増加</span></div> <br /> <div><span>**二次制御（LFC: Load Frequency Control）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**動作原理**</span><span>: 系統運用者がACE（Area Control Error）を計算し、発電機の出力指令を調整</span></div> <div><span>-</span><span> </span><span>**ACE計算式**</span><span>: $$</span><span>\</span><span>text</span><span>{ACE} = </span><span>\</span><span>Delta P + B </span><span>\</span><span>times </span><span>\</span><span>Delta f$$</span></div> <div><span>  </span><span>-</span><span> ΔP: 連系線潮流偏差（MW）</span></div> <div><span>  </span><span>-</span><span> B: 周波数バイアス係数（MW/Hz、通常1-5%MW/Hz）</span></div> <div><span>  </span><span>-</span><span> Δf: 周波数偏差（Hz）</span></div> <div><span>-</span><span> </span><span>**応答時間**</span><span>: 数分</span></div> <div><span>-</span><span> </span><span>**調整範囲**</span><span>: 系統全体の±10-20%</span></div> <div><span>-</span><span> </span><span>**目標**</span><span>: ACEを0に収束させ、周波数を基準値に復帰</span></div> <br /> <div><span>**三次制御（EDC: Economic Dispatch Control）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**動作原理**</span><span>: 発電コストを最小化するように各発電機の出力を最適配分</span></div> <div><span>-</span><span> </span><span>**最適化問題**</span><span>:</span></div> <div><span>  $$\</span><span>min</span><span> \</span><span>sum</span><span>_i C_i(P_i)$$</span></div> <div><span>  制約条件:</span></div> <div><span>  </span><span>-</span><span> $$\</span><span>sum</span><span>_i P_i = P_{\</span><span>text</span><span>{需要}}$$（需給バランス）</span></div> <div><span>  </span><span>-</span><span> $$P_{\</span><span>min</span><span>,i} \</span><span>leq</span><span> P_i \</span><span>leq</span><span> P_{\</span><span>max</span><span>,i}$$（出力制限）</span></div> <div><span>  </span><span>-</span><span> $$R_{\</span><span>text</span><span>{up},i} \</span><span>leq</span><span> \</span><span>frac</span><span>{dP_i}{dt} \</span><span>leq</span><span> R_{\</span><span>text</span><span>{down},i}$$（ランプ率制限）</span></div> <div><span>  </span><span>-</span><span> C_i(P_i): 発電機iのコスト関数（通常2次関数）</span></div> <div><span>  </span><span>-</span><span> P_i: 発電機iの出力（MW）</span></div> <div><span>-</span><span> </span><span>**応答時間**</span><span>: 数十分</span></div> <div><span>-</span><span> </span><span>**目的**</span><span>: 系統全体の発電コストを最小化</span></div> <br /> <div><span>### 6.4 周波数保護リレー</span></div> <br /> <div><span>系統の周波数が異常な範囲に達した場合、保護リレーが動作して系統を保護します。</span></div> <br /> <div><span>**周波数保護の動作値**</span><span>:</span></div> <div><span>-</span><span> </span><span>**UFR（Under Frequency Relay）**</span><span>: 周波数低下保護</span></div> <div><span>  </span><span>-</span><span> 動作値: 49.0Hz以下（50Hz系統）、58.8Hz以下（60Hz系統）</span></div> <div><span>  </span><span>-</span><span> 動作時間: 0.1-0.5秒</span></div> <div><span>  </span><span>-</span><span> 目的: 系統の崩壊を防止するため、負荷を段階的に遮断</span></div> <div><span>-</span><span> </span><span>**OFR（Over Frequency Relay）**</span><span>: 周波数上昇保護</span></div> <div><span>  </span><span>-</span><span> 動作値: 50.5Hz以上（50Hz系統）、60.6Hz以上（60Hz系統）</span></div> <div><span>  </span><span>-</span><span> 動作時間: 0.1-0.5秒</span></div> <div><span>  </span><span>-</span><span> 目的: 発電機の過速度を防止するため、発電機を系統から切り離し</span></div> <br /> <div><span>**段階的負荷遮断（UFLS: Under Frequency Load Shedding）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**目的**</span><span>: 周波数低下時に系統を保護するため、重要度の低い負荷を段階的に遮断</span></div> <div><span>-</span><span> </span><span>**動作値の例**</span><span>（50Hz系統）:</span></div> <div><span>  </span><span>-</span><span> 第1段: 49.0Hz以下で10%の負荷遮断</span></div> <div><span>  </span><span>-</span><span> 第2段: 48.5Hz以下で追加10%の負荷遮断</span></div> <div><span>  </span><span>-</span><span> 第3段: 48.0Hz以下で追加10%の負荷遮断</span></div> <div><span>-</span><span> </span><span>**復帰**</span><span>: 周波数が49.5Hz以上に回復した後、手動で復帰</span></div> <br /> <div><span>**UFLSの詳細動作解析と数式**</span><span>:</span></div> <br /><br /> <div><span>**UFLSの詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**周波数偏差**</span><span>: $$</span><span>\</span><span>Delta f = f - f_{</span><span>\</span><span>text</span><span>{nom}}$$</span></div> <div><span>  </span><span>-</span><span> f_nom: 基準周波数（50/60Hz）</span></div> <div><span>  </span><span>-</span><span> 許容範囲: ±0.1Hz</span></div> <div><span>-</span><span> </span><span>**負荷遮断量**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{shed}} = </span><span>\</span><span>alpha </span><span>\</span><span>times P_{</span><span>\</span><span>text</span><span>{total}}$$</span></div> <div><span>  </span><span>-</span><span> α: 遮断率（通常0.10-0.15）</span></div> <div><span>  </span><span>-</span><span> P_total: 総負荷（MW）</span></div> <div><span>-</span><span> </span><span>**周波数変化率**</span><span>: $$</span><span>\</span><span>frac</span><span>{df}{dt} = </span><span>\</span><span>frac</span><span>{</span><span>\</span><span>Delta P}{</span><span>2</span><span>H </span><span>\</span><span>times f_</span><span>0</span><span> </span><span>\</span><span>times S_{</span><span>\</span><span>text</span><span>{base}}}$$</span></div> <div><span>  </span><span>-</span><span> H: 系統慣性定数（5-10秒）、S_base: 基準容量（MVA）</span></div> <div><span>  </span><span>-</span><span> 遮断後: P_load減少 → df/dt &gt; 0（周波数上昇）</span></div> <div><span>-</span><span> </span><span>**回復時間**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{recovery}} = </span><span>\</span><span>frac</span><span>{</span><span>2</span><span>H </span><span>\</span><span>times </span><span>\</span><span>Delta f}{P_{</span><span>\</span><span>text</span><span>{surplus}}}$$</span></div> <div><span>  </span><span>-</span><span> 目標: 数分以内</span></div> <div><span>-</span><span> </span><span>**遮断率の累計**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 第1段: 10%</span></div> <div><span>  </span><span>-</span><span> 第2段: 累計20%</span></div> <div><span>  </span><span>-</span><span> 第3段: 累計30%</span></div> <div><span>  </span><span>-</span><span> 最大: 50%</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 7. 電圧制御と無効電力管理</span></div> <br /> <div><span>### 7.1 電圧変動のメカニズム</span></div> <br /> <div><span>電力系統の電圧は、有効電力（P）と無効電力（Q）の流れによって変動します。</span></div> <br /> <div><span>**電圧変動の計算式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**電圧降下**</span><span>: $$</span><span>\</span><span>Delta V = </span><span>\</span><span>frac</span><span>{P </span><span>\</span><span>times R + Q </span><span>\</span><span>times X}{V}$$</span></div> <div><span>  </span><span>-</span><span> P: 有効電力（MW）</span></div> <div><span>  </span><span>-</span><span> Q: 無効電力（Mvar）</span></div> <div><span>  </span><span>-</span><span> R: 送電線抵抗（Ω）</span></div> <div><span>  </span><span>-</span><span> X: 送電線リアクタンス（Ω）</span></div> <div><span>  </span><span>-</span><span> V: 基準電圧（kV）</span></div> <div><span>-</span><span> </span><span>**電圧上昇**</span><span>: 逆潮流時（$$</span><span>P &lt; </span><span>0</span><span>$$</span><span>）に発生</span></div> <div><span>  </span><span>-</span><span> 太陽光発電などの分散電源から系統への逆潮流により、配電線の電圧が上昇</span></div> <br /> <div><span>**電圧変動の影響**</span><span>:</span></div> <div><span>-</span><span> </span><span>**許容範囲**</span><span>: $$</span><span>通常±</span><span>6</span><span>%$$</span><span>（200V系統で188-212V、100V系統で94-106V）</span></div> <div><span>-</span><span> </span><span>**問題発生**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 電圧が212V（200V系統）または106V（100V系統）を超えると保護リレーが動作</span></div> <div><span>  </span><span>-</span><span> 電圧が188V（200V系統）または94V（100V系統）を下回ると保護リレーが動作</span></div> <br /> <div><span>```mermaid</span></div> <div><span>graph LR</span></div> <div><span>    Sub[(変電所母線 V0)] --&gt;|P&gt;0, Q&lt;0| Mid((中間負荷点))</span></div> <div><span>    Mid --&gt;|P&gt;0| Tail((需要家末端))</span></div> <div><span>    Tail --&gt;|逆潮流 P&lt;0| PV[分散電源]</span></div> <div><span>    PV --&gt;|Q制御| Tail</span></div> <div><span>    Tail --&gt;|制御信号| AVR[配電用インバータ]</span></div> <div><span>    Sub -. 電圧降下 ΔV .-&gt; Tail</span></div> <div><span>    PV -. フェランチ/逆潮流 .-&gt; VoltageRise2(電圧上昇)</span></div> <div><span>```</span></div> <br /> <div><span>図7-1 配電フィーダの電圧プロファイル: 送電端から需要家末端までの電圧勾配と、有効・無効電力の流向、逆潮流時にパワコンがQ制御で介入する位置を示す。</span></div> <br /> <div><span>### 7.2 無効電力制御</span></div> <br /> <div><span>無効電力（Q）は電圧制御に重要な役割を果たします。</span></div> <br /> <div><span>**無効電力の役割**</span><span>:</span></div> <div><span>-</span><span> </span><span>**進相無効電力（Q &gt; 0）**</span><span>: 電圧を上昇させる</span></div> <div><span>-</span><span> </span><span>**遅相無効電力（Q &lt; 0）**</span><span>: 電圧を低下させる</span></div> <div><span>-</span><span> </span><span>**無効電力の流れ**</span><span>: 電圧勾配に比例して流れる</span></div> <br /> <div><span>**無効電力制御の方法**</span><span>:</span></div> <br /><br /> <div><span>**無効電力補償装置**</span><span>:</span></div> <div><span>-</span><span> </span><span>**進相コンデンサ**</span><span>: 進相無効電力を供給し、電圧を上昇させる</span></div> <div><span>  </span><span>-</span><span> 容量: 通常1-50Mvar</span></div> <div><span>  </span><span>-</span><span> 応答時間: 数秒</span></div> <div><span>-</span><span> </span><span>**分路リアクトル**</span><span>: 遅相無効電力を消費し、電圧を低下させる</span></div> <div><span>  </span><span>-</span><span> 容量: 通常1-50Mvar</span></div> <div><span>  </span><span>-</span><span> 応答時間: 数秒</span></div> <div><span>-</span><span> </span><span>**SVC（Static Var Compensator）**</span><span>: サイリスタ制御により無効電力を連続制御</span></div> <div><span>  </span><span>-</span><span> 容量: 通常10-200Mvar</span></div> <div><span>  </span><span>-</span><span> 応答時間: 数サイクル（0.1秒以下）</span></div> <div><span>  </span><span>-</span><span> 制御範囲: -100%～+100%（遅相～進相）</span></div> <div><span>-</span><span> </span><span>**STATCOM（Static Synchronous Compensator）**</span><span>: 電圧形インバータによる無効電力制御</span></div> <div><span>  </span><span>-</span><span> 容量: 通常10-300Mvar</span></div> <div><span>  </span><span>-</span><span> 応答時間: 数サイクル（0.1秒以下）</span></div> <div><span>  </span><span>-</span><span> 利点: より高速な応答、高調波発生が少ない</span></div> <br /> <div><span>**分散電源の無効電力制御**</span><span>:</span></div> <div><span>-</span><span> </span><span>**太陽光発電のQ制御**</span><span>: パワーコンディショナーに無効電力制御機能を内蔵</span></div> <div><span>  </span><span>-</span><span> </span><span>**電圧抑制機能**</span><span>: 系統電圧が高い場合、進相無効電力を注入して電圧を抑制</span></div> <div><span>  </span><span>-</span><span> </span><span>**制御方式**</span><span>: </span></div> <div><span>    </span><span>-</span><span> Q(V)制御: 電圧に応じて無効電力を自動調整</span></div> <div><span>    </span><span>-</span><span> cosφ制御: 力率を一定に保つ制御</span></div> <div><span>    </span><span>-</span><span> P-Q制御: 有効電力と無効電力を独立に制御</span></div> <div><span>  </span><span>-</span><span> </span><span>**制御範囲**</span><span>: $$</span><span>通常±</span><span>0.9</span><span>$$</span><span>（力率0.9進相～0.9遅相）</span></div> <br /> <div><span>### 7.3 タップ制御変圧器</span></div> <br /> <div><span>変電所の変圧器にはタップ（タップ）切替装置があり、電圧を調整します。</span></div> <br /> <div><span>**タップ制御の原理**</span><span>:</span></div> <div><span>-</span><span> </span><span>**昇圧タップ**</span><span>: タップを上側に切替えると、二次電圧が上昇</span></div> <div><span>-</span><span> </span><span>**降圧タップ**</span><span>: タップを下側に切替えると、二次電圧が低下</span></div> <div><span>-</span><span> </span><span>**タップ範囲**</span><span>: $$</span><span>通常±</span><span>5</span><span>-</span><span>10</span><span>%$$</span><span>（例: 6.6kV/200V変圧器で±5%の場合、190-210V）</span></div> <br /> <div><span>**自動電圧調整器（AVR: Automatic Voltage Regulator）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**動作原理**</span><span>: 二次電圧を監視し、目標値からの偏差に応じてタップを自動切替</span></div> <div><span>-</span><span> </span><span>**応答時間**</span><span>: 数秒～数分</span></div> <div><span>-</span><span> </span><span>**制御方式**</span><span>: </span></div> <div><span>  </span><span>-</span><span> オンロードタップ切替（OLTC: On-Load Tap Changer）: 負荷を切らずにタップ切替可能</span></div> <div><span>  </span><span>-</span><span> オフロードタップ切替: 負荷を切ってからタップ切替</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 8. 保護協調システム</span></div> <br /> <div><span>### 8.1 保護リレーの種類と動作</span></div> <br /> <div><span>系統の異常を検出し、故障箇所を系統から切り離すために保護リレーが使用されます。</span></div> <br /> <div><span>**主要な保護リレー**</span><span>:</span></div> <br /><br /> <div><span>**保護リレーの動作値（200V系統の例）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**過電圧リレー（59）**</span><span>: $$</span><span>212</span><span>$$V以上で動作（※注：電気設備技術基準に基づく）</span></div> <div><span>-</span><span> </span><span>**低電圧リレー（27）**</span><span>: $$</span><span>188</span><span>$$V以下で動作（※注：電気設備技術基準に基づく）</span></div> <div><span>-</span><span> </span><span>**周波数リレー（81）**</span><span>: $$</span><span>49</span><span>$$</span><span>.5Hz以下または50.5Hz以上で動作（※注：50Hz系統の場合）</span></div> <div><span>-</span><span> </span><span>**地絡リレー（51G）**</span><span>: 零相電流が設定値以上で動作（通常0.1-1A）</span></div> <br /> <div><span>**保護リレーの詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**過電流リレー動作時間**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{I}{I_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^</span><span>\</span><span>alpha - </span><span>1</span><span>}$$</span></div> <div><span>  </span><span>-</span><span> TMS: 時限乗数（0.05-1.0）</span></div> <div><span>  </span><span>-</span><span> K: 定数（標準0.14）</span></div> <div><span>  </span><span>-</span><span> α: 特性指数（0.02-2.0、標準0.02）</span></div> <div><span>  </span><span>-</span><span> 逆時限特性</span></div> <div><span>-</span><span> </span><span>**零相電流**</span><span>: $$</span><span>I_</span><span>0</span><span> = I_a + I_b + I_c$$</span></div> <div><span>  </span><span>-</span><span> I_a, I_b, I_c: 各相電流（A）</span></div> <div><span>-</span><span> </span><span>**地絡リレー動作時間**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{I_</span><span>0</span><span>}{I_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^</span><span>\</span><span>alpha - </span><span>1</span><span>}$$</span></div> <div><span>  </span><span>-</span><span> I_0: 零相電流（A）、I_set: 動作電流値（A）</span></div> <div><span>-</span><span> </span><span>**過電圧リレー動作時間**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{V}{V_{</span><span>\</span><span>text</span><span>{set}}} - </span><span>1</span><span>\</span><span>right)^</span><span>\</span><span>alpha}$$</span></div> <div><span>  </span><span>-</span><span> 標準特性: α = 1.0、V_set: 動作電圧値（V）</span></div> <div><span>-</span><span> </span><span>**低電圧リレー動作時間**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>1</span><span> - </span><span>\</span><span>frac</span><span>{V}{V_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^</span><span>\</span><span>alpha}$$</span></div> <div><span>  </span><span>-</span><span> V_set: 動作電圧値（V）</span></div> <div><span>-</span><span> </span><span>**方向判定**</span><span>: $$</span><span>\</span><span>cos(</span><span>\</span><span>theta - </span><span>\</span><span>theta_</span><span>{</span><span>\</span><span>text</span><span>{set}}) &gt; </span><span>0</span><span>$$</span></div> <div><span>  </span><span>-</span><span> 逆方向: $$</span><span>90</span><span>° &lt; </span><span>\</span><span>theta &lt; </span><span>270</span><span>°$$</span></div> <div><span>-</span><span> </span><span>**時限協調**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{upstream}} &gt; t_{</span><span>\</span><span>text</span><span>{downstream}} + </span><span>\</span><span>Delta t$$</span></div> <div><span>  </span><span>-</span><span> Δt: 協調時限（0.3-0.5秒）</span></div> <br /> <div><span>### 8.2 保護協調の原則</span></div> <br /> <div><span>保護協調は、故障箇所を正確に特定し、最小限の範囲で系統から切り離すことを目的とします。</span></div> <br /> <div><span>**保護協調の原則**</span><span>:</span></div> <div><span>1.</span><span> </span><span>**選択性（Selectivity）**</span><span>: 故障箇所に最も近い保護リレーが優先的に動作</span></div> <div><span>2.</span><span> </span><span>**速動性（Speed）**</span><span>: 故障を迅速に検出・遮断し、系統への影響を最小化</span></div> <div><span>3.</span><span> </span><span>**信頼性（Reliability）**</span><span>: 必要な時に確実に動作し、誤動作を防止</span></div> <div><span>4.</span><span> </span><span>**感度（Sensitivity）**</span><span>: 最小故障電流でも確実に検出</span></div> <br /> <div><span>**時限協調（Time Grading）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**原理**</span><span>: 系統の上流側ほど長い時限を設定し、下流側の保護リレーが優先的に動作</span></div> <div><span>-</span><span> </span><span>**時限設定の例**</span><span>:</span></div> <div><span>  </span><span>-</span><span> 需要家側: 0.5秒</span></div> <div><span>  </span><span>-</span><span> 配電線: 1.0秒</span></div> <div><span>  </span><span>-</span><span> 送電線: 1.5秒</span></div> <div><span>  </span><span>-</span><span> 発電所: 2.0秒</span></div> <br /> <div><span>**電流協調（Current Grading）**</span><span>:</span></div> <div><span>-</span><span> </span><span>**原理**</span><span>: 系統の上流側ほど高い動作電流値を設定</span></div> <div><span>-</span><span> </span><span>**動作値設定の例**</span><span>:</span></div> <div><span>  </span><span>-</span><span> 需要家側: 1.2×定格</span></div> <div><span>  </span><span>-</span><span> 配電線: 1.5×定格</span></div> <div><span>  </span><span>-</span><span> 送電線: 2.0×定格</span></div> <br /> <div><span>```mermaid</span></div> <div><span>graph TD</span></div> <div><span>    Fault["故障発生&lt;br/&gt;t=0s"] --&gt; L1["需要家リレー&lt;br/&gt;Iset=1.2In&lt;br/&gt;t=0.3s"]</span></div> <div><span>    L1 --&gt; L2["配電線リレー&lt;br/&gt;Iset=1.5In&lt;br/&gt;t=0.8s"]</span></div> <div><span>    L2 --&gt; L3["送電線リレー&lt;br/&gt;Iset=2.0In&lt;br/&gt;t=1.3s"]</span></div> <div><span>    L3 --&gt; L4["発電所リレー（バックアップ）&lt;br/&gt;Iset=2.5In&lt;br/&gt;t=1.8s"]</span></div> <div><span>    Fault -.-&gt;|Δt=0.5s| L2</span></div> <div><span>    L2 -.-&gt;|Δt=0.5s| L3</span></div> <div><span>    L3 -.-&gt;|Δt=0.5s| L4</span></div> <div><span>```</span></div> <div></div> <br /> <div><span>図8-1は、故障発生から上流側へ向かって時限・動作電流が順次引き上がる様子をフロー形式で表し、各段の協調時間Δtを矢印で示している。</span></div> <br /> <div><span>### 8.3 分散電源の保護協調</span></div> <br /> <div><span>分散電源（太陽光発電など）が系統に連系される場合、特別な保護協調が必要です。</span></div> <br /> <div><span>**分散電源の保護要件**:</span></div> <div><span>- **系統連系保護リレー**: 系統異常を検出して自動的に系統から切り離す</span></div> <div><span>  - 検出項目: 過電圧、低電圧、周波数異常、地絡</span></div> <div><span>  - 動作時間: 異常検出後0.5-2秒以内</span></div> <div><span>- **逆潮流保護**: 逆方向電流を検出して保護</span></div> <div><span>- **孤島運転防止**: 系統停電時に分散電源が単独運転することを防止</span></div> <br /> <div><span>**保護協調の再設計**:</span></div> <div><span>- **従来**: 系統から需要家への一方向の電力流れを前提</span></div> <div><span>- **現在**: 分散電源からの逆潮流を前提とした保護協調</span></div> <div><span>  - 方向性過電流リレー（67）の導入</span></div> <div><span>  - 保護リレーの動作値の見直し</span></div> <div><span>  - 時限協調の再設計</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 9. 系統運用と需給調整</span></div> <br /> <div><span>### 9.1 系統運用の階層構造</span></div> <br /> <div><span>系統運用は、リアルタイム監視から長期計画まで、複数の時間軸で行われます。</span></div> <br /> <div><span>**系統安定性の詳細評価と解析**:</span></div> <br /><br /> <div><span>**系統安定性の詳細数式**:</span></div> <div><span>- **送電電力**: $$P = \frac{V_s \times V_r}{X} \sin\delta$$</span></div> <div><span>  - 最大: $$P_{\max} = \frac{V_s \times V_r}{X}$$（δ = 90°）</span></div> <div><span>- **静安定性**: $$\frac{dP}{d\delta} = \frac{V_s \times V_r}{X} \cos\delta &gt; 0$$</span></div> <div><span>  - δ &lt; 90°: 安定</span></div> <div><span>- **等面積則**: $$A_{\text{acc}} = A_{\text{dec}}$$</span></div> <div><span>  - $$A_{\text{acc}} = \int_{\delta_0}^{\delta_{\max}} (P_m - P_e) \, d\delta$$（加速エネルギー）</span></div> <div><span>  - $$A_{\text{dec}} = \int_{\delta_{\max}}^{\delta_f} (P_e - P_m) \, d\delta$$（減速エネルギー）</span></div> <div><span>- **臨界クリアリング時間**: $$t_{\text{critical}}$$</span></div> <div><span>  - 実際: 0.1-0.5秒</span></div> <div><span>- **低周波振動**: 減衰率 $$\zeta = \frac{-\sigma}{\sqrt{\sigma^2 + \omega^2}}$$</span></div> <div><span>  - σ: 減衰係数、ω: 振動角周波数</span></div> <div><span>  - 目標: $$\zeta &gt; 0.05$$</span></div> <div><span>- **電圧安定性**: $$\frac{dQ}{dV} &gt; 0$$</span></div> <div><span>  - Q: 無効電力、V: 電圧</span></div> <div><span>- **PV曲線**: $$P = f(V)$$（電圧-電力特性曲線）</span></div> <br /> <div><span>**SCADA/EMSの詳細システム構成と機能**:</span></div> <br /><br /> <div><span>**SCADA/EMSの詳細数式**:</span></div> <div><span>- **データ収集周期**: $$T_{\text{scan}} = 1-10 \text{秒}$$</span></div> <div><span>  - リアルタイム監視の更新間隔</span></div> <div><span>- **需給予測**: $$P_{\text{demand}}(t) = f(P(t-1), ..., T(t), H(t), ...)$$</span></div> <div><span>  - 予測精度: ±5-15%</span></div> <div><span>  - RMSE: 0.5-2.0 MW</span></div> <div><span>- **経済負荷配分**: $$\min \sum_i C_i(P_i) = \sum_i (a_i + b_i \times P_i + c_i \times P_i^2)$$</span></div> <div><span>  - 制約: $$\sum_i P_i = P_{\text{demand}}$$</span></div> <div><span>  - a_i, b_i, c_i: コスト係数</span></div> <div><span>- **ACE計算**: $$\text{ACE} = \Delta P + B \times \Delta f$$</span></div> <div><span>  - B: 周波数バイアス係数（0.1-0.5%MW/Hz）</span></div> <div><span>- **統計データ**: $$\sigma = \sqrt{\frac{\sum(x-\mu)^2}{n}}$$</span></div> <div><span>  - σ: 標準偏差、μ: 平均値、n: サンプル数</span></div> <div><span>- **通信遅延**: $$t_{\text{delay}} = t_{\text{propagation}} + t_{\text{processing}}$$</span></div> <div><span>  - 目標: &lt;100ms</span></div> <br /> <div><span>**系統運用の時間軸**:</span></div> <br /><br /> <div><span>**SCADA（Supervisory Control and Data Acquisition）**:</span></div> <div><span>- **機能**: 系統の状態をリアルタイムで監視し、遠方から制御</span></div> <div><span>- **データ収集**: </span></div> <div><span>  - 電圧、電流、周波数、有効電力、無効電力</span></div> <div><span>  - 収集周期: 1-10秒</span></div> <div><span>- **制御機能**:</span></div> <div><span>  - 発電機の出力調整</span></div> <div><span>  - 変圧器のタップ切替</span></div> <div><span>  - 遮断器の開閉操作</span></div> <div><span>  - 制御周期: 1-60秒</span></div> <br /> <div><span>**EMS（Energy Management System）**:</span></div> <div><span>- **機能**: 系統の最適運用を実現するための計算・制御システム</span></div> <div><span>- **主要機能**:</span></div> <div><span>  - **需給予測**: 過去データと気象データから需要を予測</span></div> <div><span>  - **経済負荷配分（EDC）**: 発電コストを最小化する出力配分</span></div> <div><span>  - **機能的予備力確保**: 系統の信頼性を確保するための予備力確保</span></div> <div><span>  - **最適潮流計算（OPF）**: 系統制約を考慮した最適運用</span></div> <br /> <div><span>### 9.2 需給調整市場</span></div> <br /> <div><span>電力の需給バランスを維持するため、需給調整市場が設けられています。</span></div> <br /> <div><span>**需給調整市場の種類**:</span></div> <div><span>- **一次調整力市場**: 周波数変動の瞬時的な吸収（応答時間: 数秒）</span></div> <div><span>- **二次調整力市場**: 周波数の復帰（応答時間: 数分）</span></div> <div><span>- **三次調整力市場**: 経済負荷配分（応答時間: 数十分）</span></div> <br /> <div><span>**需給調整のリソース**:</span></div> <div><span>- **揚水発電**: 夜間の余剰電力を利用して揚水し、昼間のピーク時に発電</span></div> <div><span>- **蓄電池**: 高速応答による周波数調整（応答時間: 数秒）</span></div> <div><span>- **火力発電**: 出力調整による需給調整（応答時間: 数分）</span></div> <div><span>- **デマンドレスポンス**: 需要家の負荷を調整して需給バランスを維持</span></div> <br /> <div><span>```mermaid</span></div> <div><span>gantt</span></div> <div><span>    dateFormat  X</span></div> <div><span>    axisFormat  %L</span></div> <div><span>    title 図9-1 需給調整市場の時間軸</span></div> <div><span>    section 応答時間</span></div> <div><span>    一次調整力:done, 0, 5</span></div> <div><span>    二次調整力: 5, 15</span></div> <div><span>    三次調整力: 20, 40</span></div> <div><span>    section 代表リソース</span></div> <div><span>    蓄電池/周波数応答:active, 0, 5</span></div> <div><span>    揚水発電: 5, 15</span></div> <div><span>    火力可変運転: 10, 30</span></div> <div><span>    デマンドレスポンス: 20, 40</span></div> <div><span>```</span></div> <br /> <div><span>図9-1は、秒〜十分の時間軸に各市場区分と代表リソースを重ね、どの資源がどの応答帯域を担うかを整理する。</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 10. 変電所の役割と構成</span></div> <br /> <div><span>### 10.1 変電所の種類と役割</span></div> <br /> <div><span>変電所は、電圧を変換し、系統を保護・制御する重要な施設です。</span></div> <br /> <div><span>**変電所の種類**</span><span>:</span></div> <div><span>-</span><span> </span><span>**発電所変電所**</span><span>: 発電機の電圧（通常6.6-24kV）を送電電圧（通常154-500kV）に昇圧</span></div> <div><span>-</span><span> </span><span>**一次変電所**</span><span>: 送電電圧（154-500kV）を配電電圧（6.6-77kV）に降圧</span></div> <div><span>-</span><span> </span><span>**二次変電所**</span><span>: 配電電圧（6.6-77kV）を需要家電圧（200V/100V）に降圧</span></div> <br /> <div><span>**送電線の等価回路と数式の詳細解析**</span><span>（重複セクションの統合）:</span></div> <br /> <div><span>詳細は「送電線の詳細数式」セクション（228行目付近）を参照。</span></div> <br /> <div><span>**変電所の主要設備**</span><span>:</span></div> <br /><br /> <div><span>**変圧器の技術仕様**</span><span>:</span></div> <div><span>-</span><span> </span><span>**容量**</span><span>: 通常10-1000MVA</span></div> <div><span>-</span><span> </span><span>**効率**</span><span>: 99%以上（大容量変圧器）</span></div> <div><span>-</span><span> </span><span>**損失**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 無負荷損失（鉄損）: 定格容量の0.1-0.5%</span></div> <div><span>  </span><span>-</span><span> 負荷損失（銅損）: 定格容量の0.5-2.0%</span></div> <div><span>-</span><span> </span><span>**冷却方式**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 油入式: 変圧器油による冷却（大容量用）</span></div> <div><span>  </span><span>-</span><span> 乾式: 空冷（小容量用、屋内設置）</span></div> <br /> <div><span>**変圧器の等価回路と数式**</span><span>:</span></div> <br /><br /> <div><span>**変圧器の数式**</span><span>（重複セクションの統合）:</span></div> <div><span>詳細は「変圧器の詳細数式」セクション（1003行目付近）を参照。</span></div> <br /> <div><span>**遮断器の技術仕様**</span><span>:</span></div> <div><span>-</span><span> </span><span>**遮断容量**</span><span>: 通常10-50kA（故障電流の最大値）</span></div> <div><span>-</span><span> </span><span>**動作時間**</span><span>: 0.1-0.5秒（故障検出から遮断まで）</span></div> <div><span>-</span><span> </span><span>**種類**</span><span>:</span></div> <div><span>  </span><span>-</span><span> 油遮断器（OCB）: 変圧器油による消弧（旧式）</span></div> <div><span>  </span><span>-</span><span> ガス遮断器（GCB）: SF₆ガスによる消弧（主流）</span></div> <div><span>  </span><span>-</span><span> 真空遮断器（VCB）: 真空による消弧（中・低圧用）</span></div> <br /> <div><span>**遮断器の動作原理**</span><span>:</span></div> <br /><br /> <div><span>**遮断器の数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**故障電流**</span><span>: $$</span><span>I_{</span><span>\</span><span>text</span><span>{fault}} = </span><span>\</span><span>frac</span><span>{V_{</span><span>\</span><span>text</span><span>{system}}}{</span><span>\</span><span>sqrt</span><span>{</span><span>3</span><span>} </span><span>\</span><span>times Z_{</span><span>\</span><span>text</span><span>{fault}}}$$</span></div> <div><span>  </span><span>-</span><span> V_system: 系統電圧（V）</span></div> <div><span>  </span><span>-</span><span> Z_fault: 故障インピーダンス（Ω）</span></div> <div><span>  </span><span>-</span><span> 最大値: 10-50kA</span></div> <div><span>-</span><span> </span><span>**遮断容量**</span><span>: $$</span><span>S_{</span><span>\</span><span>text</span><span>{breaking}} = </span><span>\</span><span>sqrt</span><span>{</span><span>3</span><span>} </span><span>\</span><span>times V_{</span><span>\</span><span>text</span><span>{system}} </span><span>\</span><span>times I_{</span><span>\</span><span>text</span><span>{fault}}$$</span></div> <div><span>  </span><span>-</span><span> k: 遮断容量係数（通常10-50）</span></div> <div><span>  </span><span>-</span><span> I_nom: 定格電流（A）</span></div> <div><span>-</span><span> </span><span>**消弧時間**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{arc}} = </span><span>1</span><span>-</span><span>50</span><span> </span><span>\</span><span>text</span><span>{ ms}$$</span></div> <div><span>  </span><span>-</span><span> 通常: 1-50ms（消弧方式により異なる）</span></div> <div><span>-</span><span> </span><span>**動作時間**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{total}} = t_{</span><span>\</span><span>text</span><span>{detect}} + t_{</span><span>\</span><span>text</span><span>{trip}} + t_{</span><span>\</span><span>text</span><span>{arc}}$$</span></div> <div><span>  </span><span>-</span><span> t_detect: 検出時間（10-100ms）</span></div> <div><span>  </span><span>-</span><span> t_trip: トリップ時間（数ms）</span></div> <div><span>  </span><span>-</span><span> t_arc: 消弧時間（1-50ms）</span></div> <div><span>  </span><span>-</span><span> 合計: 0.1-0.5秒</span></div> <br /> <div><span>**HVDC（高圧直流送電）の詳細変換効率解析**</span><span>（重複セクションの統合）:</span></div> <br /> <div><span>詳細は「HVDCの数式」セクション（938行目付近）を参照。</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 11. 分散電源と系統連系</span></div> <br /> <div><span>### 11.1 分散電源の系統連系要件</span></div> <br /> <div><span>分散電源（太陽光発電、風力発電など）を系統に連系する場合、技術的要件を満たす必要があります。</span></div> <br /> <div><span>**系統連系の技術要件**</span><span>:</span></div> <div><span>-</span><span> </span><span>**電圧変動率**</span><span>: $$</span><span>連系点の電圧変動が±</span><span>6</span><span>%以内</span><span>$$</span></div> <div><span>-</span><span> </span><span>**高調波**</span><span>: 高調波含有率が規制値以内（総高調波歪率: 5%以下）</span></div> <div><span>-</span><span> </span><span>**力率**</span><span>: 力率が0.85以上（進相または遅相）</span></div> <div><span>-</span><span> </span><span>**周波数**</span><span>: 系統周波数の許容範囲内（50Hz±0.5Hz、60Hz±0.5Hz）</span></div> <div><span>-</span><span> </span><span>**保護リレー**</span><span>: 系統異常時の自動遮断機能</span></div> <br /> <div><span>**分散電源の系統連系要件の詳細**</span><span>:</span></div> <br /><br /> <div><span>**保護リレーの詳細動作原理と協調制御**</span><span>:</span></div> <br /><br /> <div><span>**保護リレーの詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**過電流リレー**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{I}{I_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^</span><span>\</span><span>alpha - </span><span>1</span><span>}$$</span></div> <div><span>  </span><span>-</span><span> TMS: 時間乗数設定（0.05-1.0）</span></div> <div><span>  </span><span>-</span><span> K: 定数（0.14）</span></div> <div><span>  </span><span>-</span><span> α: 指数（0.02-2.0）</span></div> <div><span>-</span><span> </span><span>**地絡リレー**</span><span>: $$</span><span>I_</span><span>0</span><span> = I_a + I_b + I_c$$</span></div> <div><span>  </span><span>-</span><span> I₀: 零相電流（A）</span></div> <div><span>-</span><span> </span><span>**過電圧リレー**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{V}{V_{</span><span>\</span><span>text</span><span>{set}}} - </span><span>1</span><span>\</span><span>right)^</span><span>\</span><span>alpha}$$</span></div> <div><span>  </span><span>-</span><span> V_set: 212V（200V系統）</span></div> <div><span>-</span><span> </span><span>**低電圧リレー**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>1</span><span> - </span><span>\</span><span>frac</span><span>{V}{V_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^</span><span>\</span><span>alpha}$$</span></div> <div><span>  </span><span>-</span><span> V_set: 188V（200V系統）</span></div> <div><span>-</span><span> </span><span>**周波数リレー**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{|f - f_{</span><span>\</span><span>text</span><span>{nom}}|}{</span><span>\</span><span>Delta f}</span><span>\</span><span>right)^</span><span>\</span><span>alpha}$$</span></div> <div><span>  </span><span>-</span><span> f_nom: 基準周波数（50/60Hz）</span></div> <div><span>-</span><span> </span><span>**方向判定**</span><span>: $$</span><span>\</span><span>cos(</span><span>\</span><span>theta - </span><span>\</span><span>theta_</span><span>{</span><span>\</span><span>text</span><span>{set}}) &gt; </span><span>0</span><span>$$</span></div> <div><span>-</span><span> </span><span>**保護協調**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{upstream}} &gt; t_{</span><span>\</span><span>text</span><span>{downstream}} + </span><span>\</span><span>Delta t$$</span></div> <div><span>  </span><span>-</span><span> CTI: 協調時間間隔（&gt;0.2秒）</span></div> <div><span>-</span><span> </span><span>**故障電流**</span><span>: $$</span><span>I_{</span><span>\</span><span>text</span><span>{fault}} = </span><span>\</span><span>frac</span><span>{V_{</span><span>\</span><span>text</span><span>{system}}}{</span><span>\</span><span>sqrt</span><span>{</span><span>3</span><span>} </span><span>\</span><span>times Z_{</span><span>\</span><span>text</span><span>{fault}}}$$</span></div> <div><span>  </span><span>-</span><span> 最大値: 10-50kA</span></div> <br /> <div><span>**系統連系要件の数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**電圧変動率**</span><span>: $$</span><span>\</span><span>text</span><span>{VR} = </span><span>\</span><span>frac</span><span>{V_{</span><span>\</span><span>max} - V_{</span><span>\</span><span>min}}{V_{</span><span>\</span><span>text</span><span>{nom}}} </span><span>\</span><span>times </span><span>100</span><span>\%$$</span></div> <div><span>  </span><span>-</span><span> 許容範囲: ±6%（200V系統で188-212V）</span></div> <div><span>-</span><span> </span><span>**電圧上昇**</span><span>: $$</span><span>\</span><span>Delta V = </span><span>\</span><span>frac</span><span>{P </span><span>\</span><span>times R + Q </span><span>\</span><span>times X}{V}$$</span></div> <div><span>  </span><span>-</span><span> 逆潮流時（$$</span><span>P &lt; </span><span>0</span><span>$$</span><span>）に発生</span></div> <div><span>  </span><span>-</span><span> 対策: Q制御、タップ切替</span></div> <div><span>-</span><span> </span><span>**総高調波歪率**</span><span>: $$</span><span>\</span><span>text</span><span>{THD} = </span><span>\</span><span>frac</span><span>{</span><span>\</span><span>sqrt</span><span>{</span><span>\</span><span>sum_</span><span>{h=</span><span>2</span><span>}^{</span><span>\</span><span>infty} V_h^</span><span>2</span><span>}}{V_</span><span>1</span><span>} </span><span>\</span><span>times </span><span>100</span><span>\%$$</span></div> <div><span>  </span><span>-</span><span> V_h: h次高調波電圧（V）</span></div> <div><span>  </span><span>-</span><span> V_1: 基本波電圧（V）</span></div> <div><span>  </span><span>-</span><span> 許容値: THD &lt; 5%</span></div> <div><span>-</span><span> </span><span>**力率**</span><span>: $$</span><span>\</span><span>cos</span><span>\</span><span>phi = </span><span>\</span><span>frac</span><span>{P}{</span><span>\</span><span>sqrt</span><span>{P^</span><span>2</span><span> + Q^</span><span>2</span><span>}}$$</span></div> <div><span>  </span><span>-</span><span> 許容範囲: $$</span><span>0.85</span><span> </span><span>\</span><span>leq </span><span>\</span><span>cos</span><span>\</span><span>phi </span><span>\</span><span>leq </span><span>1.0</span><span>$$</span></div> <div><span>-</span><span> </span><span>**周波数許容範囲**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 50Hz系統: 49.5-50.5Hz（通常）、49.0-51.0Hz（緊急時）</span></div> <div><span>  </span><span>-</span><span> 60Hz系統: 59.4-60.6Hz（通常）、59.0-61.0Hz（緊急時）</span></div> <div><span>-</span><span> </span><span>**連系可能容量**</span><span>: $$</span><span>S_{</span><span>\</span><span>text</span><span>{max}} = </span><span>\</span><span>alpha </span><span>\</span><span>times S_{</span><span>\</span><span>text</span><span>{line}}$$</span></div> <div><span>  </span><span>-</span><span> α: 連系率（通常0.3-0.5）</span></div> <div><span>  </span><span>-</span><span> S_line: 配電線容量（MVA）</span></div> <br /> <div><span>**逆潮流の影響**</span><span>:</span></div> <div><span>-</span><span> </span><span>**電圧上昇**</span><span>: 分散電源からの逆潮流により、配電線の電圧が上昇</span></div> <div><span>-</span><span> </span><span>**保護協調**</span><span>: 従来の保護協調が機能しなくなる可能性</span></div> <div><span>-</span><span> </span><span>**系統安定性**</span><span>: 系統の安定性に影響を与える可能性</span></div> <br /> <div><span>**系統連系の制約**</span><span>:</span></div> <div><span>-</span><span> </span><span>**連系可能容量**</span><span>: 配電線の容量や系統の安定性を考慮して制限</span></div> <div><span>  </span><span>-</span><span> 通常: 配電線容量の30-50%まで</span></div> <div><span>  </span><span>-</span><span> 例: 6.6kV配電線（容量10MVA）の場合、3-5MVAまで連系可能</span></div> <div><span>-</span><span> </span><span>**出力制御**</span><span>: 系統の状態に応じて出力を制限する機能が必要</span></div> <br /> <div><span>---</span></div> <br /> <div><span>## 12. 直流送電と交流送電</span></div> <br /> <div><span>### 12.1 直流送電（HVDC）の特徴</span></div> <br /> <div><span>高圧直流送電（HVDC: High Voltage Direct Current）は、長距離送電や系統連系に使用されます。</span></div> <br /> <div><span>**HVDCの利点**</span><span>:</span></div> <div><span>-</span><span> </span><span>**送電損失の低減**</span><span>: 交流送電と比較して送電損失が少ない（長距離送電の場合）</span></div> <div><span>-</span><span> </span><span>**系統連系**</span><span>: 異なる周波数の系統を連系可能（例: 50Hz系統と60Hz系統）</span></div> <div><span>-</span><span> </span><span>**系統安定性**</span><span>: 系統の安定性を向上させる可能性</span></div> <br /> <div><span>**HVDCの構成**</span><span>:</span></div> <br /><br /> <div><span>**HVDCの技術仕様**</span><span>:</span></div> <div><span>-</span><span> </span><span>**送電電圧**</span><span>: $$</span><span>通常±</span><span>250</span><span>-</span><span>500</span><span>kV$$</span><span>（最高±800kV）</span></div> <div><span>-</span><span> </span><span>**送電容量**</span><span>: $$</span><span>通常</span><span>100</span><span>-</span><span>3000</span><span>MW$$</span></div> <div><span>-</span><span> </span><span>**送電損失**</span><span>: $$</span><span>3</span><span>-</span><span>5</span><span>$$</span><span>%/1000km（交流送電の約半分）</span></div> <div><span>-</span><span> </span><span>**変換効率**</span><span>: $$</span><span>95</span><span>-</span><span>98</span><span>$$</span><span>%（変換所での損失）</span></div> <div><span>-</span><span> </span><span>**応用**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 長距離送電（1000km以上）</span></div> <div><span>  </span><span>-</span><span> 系統連系（異なる周波数の系統間）</span></div> <div><span>  </span><span>-</span><span> 海底ケーブル送電</span></div> <br /> <div><span>**核分裂反応の詳細メカニズムと制御**</span><span>:</span></div> <br /><br /> <div><span>**核分裂反応の詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**核分裂反応**</span><span>: $$</span><span>{}^{</span><span>235</span><span>}</span><span>\</span><span>text</span><span>{U} + n </span><span>\</span><span>rightarrow</span><span> {}^{</span><span>236</span><span>}</span><span>\</span><span>text</span><span>{U}^* </span><span>\</span><span>rightarrow </span><span>\</span><span>text</span><span>{分裂片} + </span><span>2</span><span>\</span><span>text</span><span>{-}</span><span>3</span><span>n + </span><span>200</span><span>\,</span><span>\</span><span>text</span><span>{MeV}$$</span></div> <div><span>-</span><span> </span><span>**平均中性子数**</span><span>: $$</span><span>\</span><span>bar</span><span>{</span><span>\</span><span>nu} = </span><span>\</span><span>nu_</span><span>{</span><span>\</span><span>text</span><span>{瞬発}} + </span><span>\</span><span>nu_</span><span>{</span><span>\</span><span>text</span><span>{遅発}}$$</span></div> <div><span>  </span><span>-</span><span> 瞬発中性子: 99.4%、遅発中性子: 0.6%</span></div> <div><span>-</span><span> </span><span>**中性子拡散方程式**</span><span>: $$</span><span>D</span><span>\</span><span>nabla^</span><span>2</span><span>\</span><span>Phi - </span><span>\</span><span>Sigma_a</span><span>\</span><span>Phi + S = </span><span>0</span><span>$$</span></div> <div><span>  </span><span>-</span><span> D: 拡散係数、Σ_a: 吸収断面積、Φ: 中性子束、S: 中性子源</span></div> <div><span>-</span><span> </span><span>**臨界条件**</span><span>: $$</span><span>k_{</span><span>\</span><span>text</span><span>{eff}} = k_{</span><span>\</span><span>infty} </span><span>\</span><span>times P = </span><span>1.0</span><span>$$</span></div> <div><span>  </span><span>-</span><span> k_∞: 無限増倍率、P: 非漏れ確率</span></div> <div><span>-</span><span> </span><span>**反応度**</span><span>: $$</span><span>\</span><span>rho = </span><span>\</span><span>frac</span><span>{k_{</span><span>\</span><span>text</span><span>{eff}} - </span><span>1</span><span>}{k_{</span><span>\</span><span>text</span><span>{eff}}}$$</span></div> <div><span>-</span><span> </span><span>**出力制御**</span><span>: $$</span><span>P(t) = P_</span><span>0</span><span> </span><span>\</span><span>times e^{t/T}$$</span></div> <div><span>  </span><span>-</span><span> $$T = \</span><span>frac</span><span>{l}{k_{\</span><span>text</span><span>{eff}} - 1}$$（中性子寿命l ≈ 10⁻⁴秒）</span></div> <div><span>-</span><span> </span><span>**熱出力**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{thermal}} = N_f </span><span>\</span><span>times E_f </span><span>\</span><span>times f$$</span></div> <div><span>  </span><span>-</span><span> N_f: 核分裂数/s、E_f: 核分裂エネルギー（200MeV = 3.2×10⁻¹¹J）、f: 変換効率（0.3-0.4）</span></div> <div><span>-</span><span> </span><span>**電気出力**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{electric}} = P_{</span><span>\</span><span>text</span><span>{thermal}} </span><span>\</span><span>times </span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{thermal}}$$</span></div> <div><span>  </span><span>-</span><span> η_thermal: 熱効率（BWR/PWR: 33-35%） </span></div> <br /> <div><span>**HVDCの詳細変換効率解析**</span><span>:</span></div> <br /><br /> <div><span>**HVDCの数式**</span><span>（重複セクションの統合）:</span></div> <div><span>-</span><span> </span><span>**整流電圧**</span><span>: $$</span><span>V_{</span><span>\</span><span>text</span><span>{dc}} = </span><span>\</span><span>frac</span><span>{</span><span>3</span><span>\</span><span>sqrt</span><span>{</span><span>2</span><span>}}{</span><span>\</span><span>pi} </span><span>\</span><span>times V_{</span><span>\</span><span>text</span><span>{ac}} </span><span>\</span><span>times </span><span>\</span><span>cos(</span><span>\</span><span>alpha)$$</span></div> <div><span>  </span><span>-</span><span> α: 制御角（0-30°）、V_ac: 交流電圧（V）</span></div> <div><span>-</span><span> </span><span>**整流効率**</span><span>: $$</span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{rect}} = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{dc}}}{P_{</span><span>\</span><span>text</span><span>{ac}}} = </span><span>0.98</span><span>-</span><span>0.99</span><span>$$</span></div> <div><span>  </span><span>-</span><span> 損失: スイッチング損失、導通損失、フィルタ損失</span></div> <div><span>-</span><span> </span><span>**送電損失**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{loss}} = I_{</span><span>\</span><span>text</span><span>{dc}}^</span><span>2</span><span> </span><span>\</span><span>times R_{</span><span>\</span><span>text</span><span>{dc}} </span><span>\</span><span>times l$$</span></div> <div><span>  </span><span>-</span><span> R_dc: 送電線抵抗（Ω/km、通常0.01-0.1Ω/km）</span></div> <div><span>  </span><span>-</span><span> l: 送電線長さ（km）</span></div> <div><span>  </span><span>-</span><span> 損失率: 3-5%/1000km（交流送電の約半分）</span></div> <div><span>-</span><span> </span><span>**送電効率**</span><span>: $$</span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{trans}} = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{dc,out}}}{P_{</span><span>\</span><span>text</span><span>{dc,in}}} = </span><span>0.95</span><span>-</span><span>0.98</span><span>/</span><span>100</span><span>\</span><span>text</span><span>{km}$$</span></div> <div><span>-</span><span> </span><span>**逆変換電圧**</span><span>: $$</span><span>V_{</span><span>\</span><span>text</span><span>{ac}} = </span><span>\</span><span>frac</span><span>{</span><span>3</span><span>\</span><span>sqrt</span><span>{</span><span>2</span><span>}}{</span><span>\</span><span>pi} </span><span>\</span><span>times V_{</span><span>\</span><span>text</span><span>{dc}} </span><span>\</span><span>times </span><span>\</span><span>cos(</span><span>\</span><span>beta)$$</span></div> <div><span>  </span><span>-</span><span> β: 制御角（150-180°）</span></div> <div><span>-</span><span> </span><span>**逆変換効率**</span><span>: $$</span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{inv}} = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{ac}}}{P_{</span><span>\</span><span>text</span><span>{dc}}} = </span><span>0.98</span><span>-</span><span>0.99</span><span>$$</span></div> <div><span>-</span><span> </span><span>**総合効率**</span><span>: $$</span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{total}} = </span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{rect}} </span><span>\</span><span>times </span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{trans}} </span><span>\</span><span>times </span><span>\</span><span>eta_</span><span>{</span><span>\</span><span>text</span><span>{inv}}$$</span></div> <div><span>  </span><span>-</span><span> 100km: 0.91-0.96</span></div> <div><span>  </span><span>-</span><span> 1000km: 0.85-0.92（交流送電: 0.80-0.88/1000km）</span></div> <div><span>  </span><span>-</span><span> 効率向上: 5-10%</span></div> <div><span>-</span><span> </span><span>**高調波次数**</span><span>: $$</span><span>h = </span><span>6</span><span>n </span><span>\</span><span>pm </span><span>1</span><span>$$</span><span>（n: 整数、p: パルス数）</span></div> <div><span>  </span><span>-</span><span> 6パルス: 5, 7, 11, 13次高調波</span></div> <div><span>  </span><span>-</span><span> 12パルス: 11, 13, 23, 25次高調波</span></div> <div><span>  </span><span>-</span><span> 24パルス: 23, 25, 47, 49次高調波</span></div> <br /> <div><span>### 12.2 交流送電の特徴</span></div> <br /> <div><span>交流送電は、変圧が容易で、現在の電力系統の主流です。</span></div> <br /> <div><span>**交流送電の利点**</span><span>:</span></div> <div><span>-</span><span> </span><span>**変圧が容易**</span><span>: 変圧器により容易に電圧を変換可能</span></div> <div><span>-</span><span> </span><span>**技術の成熟**</span><span>: 長年の実績があり、技術が成熟</span></div> <div><span>-</span><span> </span><span>**コスト**</span><span>: 設備コストが比較的低い</span></div> <br /> <div><span>**交流送電の課題**</span><span>:</span></div> <div><span>-</span><span> </span><span>**送電損失**</span><span>: 長距離送電では損失が大きい</span></div> <div><span>-</span><span> </span><span>**系統安定性**</span><span>: 系統の安定性に影響を与える可能性</span></div> <div><span>-</span><span> </span><span>**充電電流**</span><span>: 長距離送電線では充電電流が大きくなる</span></div> <br /> <div><span> </span></div> <div><span>**変圧器の詳細数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**巻数比**</span><span>: $$</span><span>a = </span><span>\</span><span>frac</span><span>{N_</span><span>1</span><span>}{N_</span><span>2</span><span>} = </span><span>\</span><span>frac</span><span>{V_</span><span>1</span><span>}{V_</span><span>2</span><span>}$$</span></div> <div><span>  </span><span>-</span><span> N₁, N₂: 一次・二次巻数、V₁, V₂: 一次・二次電圧</span></div> <div><span>-</span><span> </span><span>**電流比**</span><span>: $$</span><span>I_</span><span>2</span><span> = a </span><span>\</span><span>times I_</span><span>1</span><span>$$</span></div> <div><span>  </span><span>-</span><span> 電力保存: $$</span><span>V_</span><span>1</span><span> </span><span>\</span><span>times I_</span><span>1</span><span> = V_</span><span>2</span><span> </span><span>\</span><span>times I_</span><span>2</span><span>$$</span></div> <div><span>-</span><span> </span><span>**短絡インピーダンス**</span><span>: $$</span><span>Z_{</span><span>\</span><span>text</span><span>{sc}} = R_{</span><span>\</span><span>text</span><span>{sc}} + jX_{</span><span>\</span><span>text</span><span>{sc}}$$</span></div> <div><span>  </span><span>-</span><span> $$R_{\</span><span>text</span><span>{sc}} = R_1 + a^2 \</span><span>times</span><span> R_2$$、$$X_{\text{sc}} = X_1 + a^2 \times X_2$$</span></div> <div><span>  </span><span>-</span><span> 通常: 定格インピーダンスの5-15%</span></div> <div><span>-</span><span> </span><span>**無負荷損失**</span><span>: $$</span><span>P_</span><span>0</span><span> = P_h + P_e$$</span></div> <div><span>  </span><span>-</span><span> $$P_h = K_h \</span><span>times</span><span> f \</span><span>times</span><span> B^\</span><span>alpha</span><span>$$（ヒステリシス損）</span></div> <div><span>  </span><span>-</span><span> $$P_e = K_e \</span><span>times</span><span> f^2 \</span><span>times</span><span> B^2$$（渦電流損）</span></div> <div><span>  </span><span>-</span><span> 通常: 定格容量の0.1-0.5%</span></div> <div><span>-</span><span> </span><span>**負荷損失**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{load}} = I^</span><span>2</span><span> </span><span>\</span><span>times R_{</span><span>\</span><span>text</span><span>{sc}}$$</span></div> <div><span>  </span><span>-</span><span> 通常: 定格容量の0.5-2.0%</span></div> <div><span>-</span><span> </span><span>**効率**</span><span>: $$</span><span>\</span><span>eta = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{out}}}{P_{</span><span>\</span><span>text</span><span>{in}}} = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{out}}}{P_{</span><span>\</span><span>text</span><span>{out}} + P_</span><span>0</span><span> + P_{</span><span>\</span><span>text</span><span>{load}}}$$</span></div> <div><span>  </span><span>-</span><span> 通常: 99%以上（大容量変圧器）</span></div> <div><span>-</span><span> </span><span>**最大効率条件**</span><span>: $$</span><span>\</span><span>frac</span><span>{d</span><span>\</span><span>eta}{dP} = </span><span>0</span><span> </span><span>\</span><span>Rightarrow P_{</span><span>\</span><span>text</span><span>{load}} = P_</span><span>0</span><span>$$</span></div> <div><span>-</span><span> </span><span>**最適負荷率**</span><span>: $$</span><span>\</span><span>beta_</span><span>{</span><span>\</span><span>text</span><span>{opt}} = </span><span>\</span><span>sqrt</span><span>{</span><span>\</span><span>frac</span><span>{P_</span><span>0</span><span>}{P_{</span><span>\</span><span>text</span><span>{load,nom}}}}$$</span></div> <div><span>-</span><span> </span><span>**電圧変動率**</span><span>: $$</span><span>\</span><span>text</span><span>{VR} = </span><span>\</span><span>frac</span><span>{V_{</span><span>20</span><span>} - V_</span><span>2</span><span>}{V_</span><span>2</span><span>} </span><span>\</span><span>times </span><span>100</span><span>\%$$</span></div> <div><span>  </span><span>-</span><span> 通常: 2-5%</span></div> <div><span>-</span><span> </span><span>**温度上昇**</span><span>: $$</span><span>\</span><span>Delta T = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{loss}}}{h </span><span>\</span><span>times A}$$</span></div> <div><span>  </span><span>-</span><span> h: 熱伝達率、A: 表面積</span></div> <div><span>-</span><span> </span><span>**寿命**</span><span>: $$</span><span>L = L_</span><span>0</span><span> </span><span>\</span><span>times </span><span>2</span><span>^{</span><span>\</span><span>frac</span><span>{T_</span><span>0</span><span> - T}{</span><span>6</span><span>}}$$</span></div> <div><span>  </span><span>-</span><span> L_0: 基準寿命、T: 運転温度、T_0: 基準温度</span></div> <br /> <div><span>**送電線の数式**</span><span>（重複セクションの統合）:</span></div> <div><span>-</span><span> </span><span>**直列インピーダンス**</span><span>: $$</span><span>Z = R + jX$$</span></div> <div><span>  </span><span>-</span><span> R: 抵抗（Ω/km、通常0.01-0.1Ω/km）</span></div> <div><span>  </span><span>-</span><span> X: リアクタンス（Ω/km、通常0.3-0.5Ω/km）</span></div> <div><span>  </span><span>-</span><span> $$X = 2\</span><span>pi</span><span> fL$$（f: 周波数、L: インダクタンス）</span></div> <div><span>-</span><span> </span><span>**並列アドミタンス**</span><span>: $$</span><span>Y = G + jB$$</span></div> <div><span>  </span><span>-</span><span> G: コンダクタンス（S/km、通常小さい）</span></div> <div><span>  </span><span>-</span><span> B: サセプタンス（S/km、通常10⁻⁶-10⁻⁵ S/km）</span></div> <div><span>  </span><span>-</span><span> $$B = 2\</span><span>pi</span><span> fC$$（C: 静電容量）</span></div> <div><span>-</span><span> </span><span>**電圧降下**</span><span>: $$</span><span>\</span><span>Delta V = </span><span>\</span><span>frac</span><span>{P </span><span>\</span><span>times R + Q </span><span>\</span><span>times X}{V}$$</span></div> <div><span>  </span><span>-</span><span> P: 有効電力（MW）、Q: 無効電力（Mvar）、V: 電圧（kV）</span></div> <div><span>-</span><span> </span><span>**送電損失**</span><span>: $$</span><span>P_{</span><span>\</span><span>text</span><span>{loss}} = I^</span><span>2</span><span> </span><span>\</span><span>times R </span><span>\</span><span>times l = </span><span>\</span><span>frac</span><span>{P^</span><span>2</span><span> + Q^</span><span>2</span><span>}{V^</span><span>2</span><span>} </span><span>\</span><span>times R </span><span>\</span><span>times l$$</span></div> <div><span>  </span><span>-</span><span> l: 送電線長さ（km）</span></div> <div><span>  </span><span>-</span><span> 損失率: $$</span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>text</span><span>{loss}}}{P} </span><span>\</span><span>times </span><span>100</span><span>\%$$</span><span>（通常2-5%/100km）</span></div> <div><span>-</span><span> </span><span>**充電電流**</span><span>: $$</span><span>I_c = V </span><span>\</span><span>times B </span><span>\</span><span>times l$$</span></div> <div><span>  </span><span>-</span><span> 長距離送電線では充電電流が大きくなる（フェランチ効果）</span></div> <div><span>-</span><span> </span><span>**無効電力発生**</span><span>: $$</span><span>Q_c = V^</span><span>2</span><span> </span><span>\</span><span>times B </span><span>\</span><span>times l$$</span></div> <div><span>  </span><span>-</span><span> 長距離送電線では無効電力が発生し、補償が必要</span></div> <br /> <div><span>**保護リレーの詳細動作原理と協調制御**</span><span>:</span></div> <br /><br /> <div><span>**保護リレーの詳細数式**</span><span>（重複セクションの統合）:</span></div> <div><span>-</span><span> </span><span>**過電流リレー**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{I}{I_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^</span><span>\</span><span>alpha - </span><span>1</span><span>}$$</span></div> <div><span>  </span><span>-</span><span> 標準逆時限: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{</span><span>0.14</span><span>}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{I}{I_{</span><span>\</span><span>text</span><span>{set}}}</span><span>\</span><span>right)^{</span><span>0.02</span><span>} - </span><span>1</span><span>}$$</span></div> <div><span>-</span><span> </span><span>**地絡リレー**</span><span>: $$</span><span>I_</span><span>0</span><span> = I_a + I_b + I_c$$</span><span>、動作条件: $$</span><span>I_</span><span>0</span><span> &gt; I_{</span><span>\</span><span>text</span><span>{set}}$$</span></div> <div><span>-</span><span> </span><span>**過電圧リレー**</span><span>: $$</span><span>t = </span><span>\</span><span>text</span><span>{TMS} </span><span>\</span><span>times </span><span>\</span><span>frac</span><span>{K}{</span><span>\</span><span>left(</span><span>\</span><span>frac</span><span>{V}{V_{</span><span>\</span><span>text</span><span>{set}}} - </span><span>1</span><span>\</span><span>right)^</span><span>\</span><span>alpha}$$</span></div> <div><span>-</span><span> </span><span>**不足電圧リレー**</span><span>: 動作条件: $$</span><span>V &lt; V_{</span><span>\</span><span>text</span><span>{set}}$$</span></div> <div><span>-</span><span> </span><span>**周波数リレー**</span><span>: 動作条件: $$</span><span>f &lt; f_{</span><span>\</span><span>text</span><span>{set}} </span><span>\</span><span>text</span><span>{ or } f &gt; f_{</span><span>\</span><span>text</span><span>{set}}$$</span></div> <div><span>-</span><span> </span><span>**方向性過電流リレー**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 動作条件: $$</span><span>I &gt; I_{</span><span>\</span><span>text</span><span>{set}} </span><span>\</span><span>text</span><span>{ and } </span><span>\</span><span>cos(</span><span>\</span><span>theta - </span><span>\</span><span>theta_</span><span>{</span><span>\</span><span>text</span><span>{set}}) &gt; </span><span>0</span><span>$$</span></div> <div><span>-</span><span> </span><span>**保護協調**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 時限協調: $$</span><span>t_{</span><span>\</span><span>text</span><span>{upstream}} &gt; t_{</span><span>\</span><span>text</span><span>{downstream}} + </span><span>\</span><span>Delta t$$</span></div> <div><span>  </span><span>-</span><span> 電流協調: $$</span><span>I_{</span><span>\</span><span>text</span><span>{set,upstream}} &gt; I_{</span><span>\</span><span>text</span><span>{set,downstream}}$$</span></div> <br /> <div><span>**系統安定性の数式**</span><span>:</span></div> <div><span>-</span><span> </span><span>**電力角特性**</span><span>: </span></div> <div><span>  </span><span>-</span><span> E₁, E₂: 送受端電圧（kV）</span></div> <div><span>  </span><span>-</span><span> X: リアクタンス（Ω）</span></div> <div><span>  </span><span>-</span><span> δ: 位相角（rad）</span></div> <div><span>  </span><span>-</span><span> 最大電力: $$</span><span>P_{max} = </span><span>\</span><span>frac</span><span>{E_</span><span>1</span><span> </span><span>\</span><span>times E_</span><span>2</span><span>}{X}$$</span><span>（δ = 90°のとき）</span></div> <div><span>-</span><span> </span><span>**静的安定性**</span><span>: </span></div> <div><span>  </span><span>-</span><span> 安定: δ &lt; 90°</span></div> <div><span>  </span><span>-</span><span> 不安定: δ &gt; 90°</span></div> <div><span>-</span><span> </span><span>**過渡安定性**</span><span>: 等面積則</span></div> <div><span>  </span><span>-</span><span> 加速エネルギー = 減速エネルギー</span></div> <div><span>  </span><span>-</span><span> $$\</span><span>int</span><span>(P_m - P_e) \</span><span>,</span><span> d\</span><span>delta</span><span> = 0$$</span></div> <div><span>  </span><span>-</span><span> P_m: 機械入力（MW）</span></div> <div><span>  </span><span>-</span><span> P_e: 電気出力（MW）</span></div> <div><span>-</span><span> </span><span>**臨界クリア時間**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{critical}}$$</span></div> <div><span>  </span><span>-</span><span> 故障除去がこの時間を超えると不安定</span></div> <div><span>  </span><span>-</span><span> 通常: 0.1-0.3秒</span></div> <br /> <div><span>**系統安定性の詳細評価**</span><span>:</span></div> <br /><br /> <div><span>**系統安定性の詳細数式**</span><span>（重複セクションの統合）:</span></div> <div><span>-</span><span> </span><span>**電力角特性**</span><span>: $$</span><span>P = </span><span>\</span><span>frac</span><span>{E_</span><span>1</span><span> </span><span>\</span><span>times E_</span><span>2</span><span>}{X} </span><span>\</span><span>sin</span><span>\</span><span>delta$$</span></div> <div><span>  </span><span>-</span><span> 最大電力: $$</span><span>P_{</span><span>\</span><span>max} = </span><span>\</span><span>frac</span><span>{E_</span><span>1</span><span> </span><span>\</span><span>times E_</span><span>2</span><span>}{X}$$</span><span>（δ = 90°）</span></div> <div><span>-</span><span> </span><span>**安定性判定**</span><span>: $$</span><span>\</span><span>frac</span><span>{dP}{d</span><span>\</span><span>delta} = </span><span>\</span><span>frac</span><span>{E_</span><span>1</span><span> </span><span>\</span><span>times E_</span><span>2</span><span>}{X} </span><span>\</span><span>cos</span><span>\</span><span>delta$$</span></div> <div><span>  </span><span>-</span><span> 安定: $$</span><span>\</span><span>frac</span><span>{dP}{d</span><span>\</span><span>delta} &gt; </span><span>0</span><span>$$</span><span>（δ &lt; 90°）</span></div> <div><span>  </span><span>-</span><span> 不安定: $$</span><span>\</span><span>frac</span><span>{dP}{d</span><span>\</span><span>delta} &lt; </span><span>0</span><span>$$</span><span>（δ &gt; 90°）</span></div> <div><span>-</span><span> </span><span>**安定余裕**</span><span>: $$</span><span>\</span><span>text</span><span>{SM} = </span><span>\</span><span>frac</span><span>{P_{</span><span>\</span><span>max} - P_{</span><span>\</span><span>text</span><span>{operating}}}{P_{</span><span>\</span><span>max}} </span><span>\</span><span>times </span><span>100</span><span>\%$$</span></div> <div><span>  </span><span>-</span><span> 目標: SM &gt; 20%</span></div> <div><span>-</span><span> </span><span>**等面積則**</span><span>: $$</span><span>A_{</span><span>\</span><span>text</span><span>{acc}} = A_{</span><span>\</span><span>text</span><span>{dec}}$$</span></div> <div><span>  </span><span>-</span><span> 加速エネルギー = 減速エネルギー</span></div> <div><span>  </span><span>-</span><span> $$A_{\</span><span>text</span><span>{acc}} = \</span><span>int</span><span>_{\</span><span>delta</span><span>_0}^{\</span><span>delta</span><span>_{\</span><span>max</span><span>}} (P_m - P_e) \</span><span>,</span><span> d\</span><span>delta</span><span>$$</span></div> <div><span>  </span><span>-</span><span> $$A_{\</span><span>text</span><span>{dec}} = \</span><span>int</span><span>_{\</span><span>delta</span><span>_{\</span><span>max</span><span>}}^{\</span><span>delta</span><span>_f} (P_e - P_m) \</span><span>,</span><span> d\</span><span>delta</span><span>$$</span></div> <div><span>-</span><span> </span><span>**臨界クリア時間**</span><span>: $$</span><span>t_{</span><span>\</span><span>text</span><span>{critical}}$$</span></div> <div><span>  </span><span>-</span><span> 通常: 0.1-0.3秒</span></div> <div><span>  </span><span>-</span><span> 目標: $$</span><span>t_{</span><span>\</span><span>text</span><span>{clear}} &lt; t_{</span><span>\</span><span>text</span><span>{critical}}$$</span></div> <div><span>-</span><span> </span><span>**低周波振動**</span><span>: 固有値解析</span></div> <div><span>  </span><span>-</span><span> 固有値: $$</span><span>\</span><span>lambda = </span><span>\</span><span>sigma + j</span><span>\</span><span>omega$$</span></div> <div><span>  </span><span>-</span><span> 安定: $$</span><span>\</span><span>sigma &lt; </span><span>0</span><span>$$</span></div> <div><span>  </span><span>-</span><span> 減衰比: $$</span><span>\</span><span>zeta = </span><span>\</span><span>frac</span><span>{-</span><span>\</span><span>sigma}{</span><span>\</span><span>sqrt</span><span>{</span><span>\</span><span>sigma^</span><span>2</span><span> + </span><span>\</span><span>omega^</span><span>2</span><span>}}$$</span></div> <div><span>  </span><span>-</span><span> 目標: $$</span><span>\</span><span>zeta &gt; </span><span>0.1</span><span>$$</span></div> <br /> <div><span>---</span></div> <br /> <div><span>**最終更新日**</span><span>: 2024年12月  </span></div> <div><span>**文書バージョン**</span><span>: 2.0  </span></div> <div><span>**ライセンス**</span><span>: Creative Commons Attribution-ShareAlike 4.0 International</span></div> <br /> <div><span>## 13. O&amp;M・モダナイゼーションロードマップ</span></div> <br /> <div><span>1.</span><span> </span><span>**資産健全性監視**</span><span>  </span></div> <div><span>   </span><span>-</span><span> 変圧器：DGA（溶解ガス分析）、油中水分センサー、部分放電モニタをオンライン化し、IEC 60599 指標で余寿命を推定。  </span></div> <div><span>   </span><span>-</span><span> 送電線：LiDAR/サーモグラフィ巡視と気象データで動的線路定格（DLR）を計算し、季節・風速に応じた許容電流をリアルタイム更新。</span></div> <br /> <div><span>2.</span><span> </span><span>**保護・制御のデジタル化**</span><span>  </span></div> <div><span>   </span><span>-</span><span> IEC 61850 プロセスバス化で保護リレーの設定・試験を仮想化、イベントログを集中管理。  </span></div> <div><span>   </span><span>-</span><span> WAMS/PMU で0.1秒時系列を取得し、低周波振動・角周波数偏差に対して FACTS・蓄電池・需要応答を自動投入。</span></div> <br /> <div><span>3.</span><span> </span><span>**レジリエンスとサイバーセキュリティ**</span><span>  </span></div> <div><span>   </span><span>-</span><span> ブラックスタートシーケンス、分散マイクログリッド切替手順、緊急時ロードシェディングテーブルを毎年演習。  </span></div> <div><span>   </span><span>-</span><span> IEC 62351/Zero Trust に基づく通信暗号化、OT/IT 分離、脅威検知(SIEM)とパッチ管理を送配電会社に義務化。</span></div> <br /> <div><span>4.</span><span> </span><span>**人材・データ基盤**</span><span>  </span></div> <div><span>   </span><span>-</span><span> XR/遠隔支援で現場作業を標準化、BIM/CIM・デジタルツインに設備8Dデータを集約。  </span></div> <div><span>   </span><span>-</span><span> SCADA/EMS、生産・需要、気象、設備ログをデータレイク化し、AIで予知保全・需給最適化を継続学習。メンテ KPI（SAIDI/SAIFI、MTBF/MTTR）をダッシュボード化。</span></div> <br /> <div><span>```mermaid</span></div> <div><span>gantt</span></div> <div><span>    dateFormat  YYYY</span></div> <div><span>    title 図13-1 O&amp;Mモダナイゼーションロードマップ</span></div> <div><span>    section 資産健全性</span></div> <div><span>    DGA/オンライン監視          :2024, 12M</span></div> <div><span>    動的線路定格(DLR)           :2024, 24M</span></div> <div><span>    section 保護・制御デジタル化</span></div> <div><span>    IEC61850/プロセスバス        :2025, 24M</span></div> <div><span>    WAMS/PMU展開                :2026, 18M</span></div> <div><span>    section レジリエンス/サイバー</span></div> <div><span>    ブラックスタート演習        :2024, 36M</span></div> <div><span>    ZeroTrust/OT-IT分離         :2025, 24M</span></div> <div><span>    section 人材・データ基盤</span></div> <div><span>    XR遠隔支援                 :2025, 18M</span></div> <div><span>    データレイク/AI運用         :2025, 30M</span></div> <div><span>```</span></div> <br /> <div><span>図13-1は、短期〜中期の年度軸に主要施策をガントチャートで配置し、投資領域ごとの優先順位と並行実施計画を示す。</span></div> <br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /><br /> Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource カーボンニュートラル８ Creator An entity primarily responsible for making the resource unjuno Date Created Date of creation of the resource. 2025-11-18 Rights Information about rights held in and over the resource CC BY-NC 4.0 - 非営利目的のみ許可