Development of monotonicity analysis method for optimal resource operation

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K14711
• Research Category: Grant-in-Aid for Early-Career Scientists
• Allocation Type: Multi-year Fund
• Review Section: Basic Section 21010:Power engineering-related
• Research Institution: Tokyo 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
• 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

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.

Free Research Field

制御工学

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．