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Development of monotonicity analysis method for optimal resource operation

Research Project

Project/Area Number 20K14711
Research Category

Grant-in-Aid for Early-Career Scientists

Allocation TypeMulti-year Fund
Review Section Basic Section 21010:Power engineering-related
Research InstitutionTokyo University of Marine Science and Technology

Principal Investigator

KOIKE Masakazu  東京海洋大学, 学術研究院, 准教授 (70756337)

Project Period (FY) 2020-04-01 – 2023-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2022: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2021: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2020: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords単調性 / 解の候補 / 二次計画問題 / 前日計画 / 電力 / 蓄電池 / 不確かさ / 区間解析 / 区間二次計画問題 / 信頼区間
Outline of Research at the Start

太陽光発電(PV)の不確かさを適切に考慮しながら,前日に供給者側のリソース(火力機と蓄電池)の最適な運用計画を立てる問題に着目する.特徴はPVと需要の予測が信頼区間(幅)として与えられている点である.信頼区間内の無数のプロファイルに対応する無数の最適運用計画プロファイルが存在する.その運用計画の取り得る領域(幅)が事前にわかれば最適リソース運用が実現できる.厳密な幅を求めるためには厄介な最適化問題を解く必要があり,これは解の単調性が保存される問題でなければ現段階では解く事ができない.そこで,どういった問題(制約条件や目的関数など)なら単調性が保存されているのかを解析する手法を開発する.

Outline of Final Research Achievements

In this research, we focus on the problem of obtaining an optimal operation plan for the supplier's resources (thermal power plant and storage battery), while appropriately considering the uncertainty of photovoltaic power generation (PV). The feature is that the forecast of PV and demand is given as a confidence interval (width). There are an infinite number of optimal operating plan profiles corresponding to an infinite number of profiles within the confidence interval. In order to strictly determine the possible area (width) of the operation plan, the solution must possess the monotonicity. In this research, we verified whether monotonicity holds in various problem settings.

Academic Significance and Societal Importance of the Research Achievements

本研究成果はより現実的な問題設定において,単調性が成り立つことを明らかにした点である.これにより,充放電効率が変動する場合や,火力機のランプレイト制約が問題になる場合,蓄電池が複数存在する場合,さらには,ネットワーク構造を有している場合などにも適用の道を開いた.この点において社会的意義がある.また,理論解析の結果,蓄電池の周期制約が単調性パターンに大きな影響を与えていることを示したことが学術的に意義がある.

Report

(4 results)
  • 2022 Annual Research Report   Final Research Report ( PDF )
  • 2021 Research-status Report
  • 2020 Research-status Report
  • Research Products

    (6 results)

All 2023 2022 2021 2020

All Presentation (6 results) (of which Int'l Joint Research: 4 results)

  • [Presentation] Monotonicity Analysis of the Optimal Operation Schedule Taking into Acount Power Network Structure2023

    • Author(s)
      Yuga Kojima, Masakazu Koike, Takayuki Ishizaki, Nacim Ramdani, Jun-ichi Imura
    • Organizer
      The 22nd IFAC World Congress
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Monotonicity Analysis of Day-Ahead Power Scheduling in Power Network Syste2022

    • Author(s)
      Masakazu. Koike, Yuga. Kojima, Takayuki Ishizaki
    • Organizer
      Grand Renewable Energy 2022 International Conference
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Monotonic Analysis of Charge/discharge Efficiency of Optimal Operation Plan in Storage Battery and Thermal Power Machine2022

    • Author(s)
      Yuga Kojima, Masakazu Koike
    • Organizer
      SICE Annual Conference 2022
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 計画値同時同量市場制度の適応型ロバスト最適化モデリングによる不確かな再エネとピークシフト電源の価値解析2022

    • Author(s)
      小池雅和, 石崎孝幸
    • Organizer
      令和4年電気学会全国大会
    • Related Report
      2021 Research-status Report
  • [Presentation] 前日エネルギースポット市場における蓄電池普及ダイナミクスの解析2021

    • Author(s)
      小池雅和, 石崎孝幸
    • Organizer
      第64回自動制御連合講演会
    • Related Report
      2021 Research-status Report
  • [Presentation] Monotonicity Analysis for Optimal Scheduling of Storage Batteries and Power Generators -Considering Ramp Limit of Thermal Power Plant -.2020

    • Author(s)
      Masakazu Koike, Takayuki Ishizaki, Jun-ichi Imura
    • Organizer
      SICE Annual Conference 2020
    • Related Report
      2020 Research-status Report
    • Int'l Joint Research

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Published: 2020-04-28   Modified: 2024-01-30  

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