論文

査読有り
2019年11月1日

An optimal switching approach toward cost-effective control of a stand-alone photovoltaic panel system under stochastic environment

Applied Stochastic Models in Business and Industry
  • Hidekazu Yoshioka
  • ,
  • Zhi Li
  • ,
  • Akira Yano

35
6
開始ページ
1366
終了ページ
1389
記述言語
掲載種別
研究論文(学術雑誌)
DOI
10.1002/asmb.2485
出版者・発行元
Wiley

© 2019 John Wiley & Sons, Ltd. The operation of a stand-alone photovoltaic (PV) system ultimately aims for the optimization of its energy storage. We present a mathematical model for cost-effective control of a stand-alone system based on a PV panel equipped with an angle adjustment device. The model is based on viscosity solutions to partial differential equations, which serve as a new and mathematically rigorous tool for modeling, analyzing, and controlling PV systems. We formulate a stochastic optimal switching problem of the panel angle, which is here a binary variable to be dynamically controlled under stochastic weather condition. The stochasticity comes from cloud cover dynamics, which is modeled with a nonlinear stochastic differential equation. In finding the optimal control policy of the panel angle, switching the angle is subject to impulsive cost and reduces to solving a system of Hamilton-Jacobi-Bellman quasi-variational inequalities (HJBQVIs). We show that the stochastic differential equation is well posed and that the HJBQVIs admit a unique viscosity solution. In addition, a finite-difference scheme is proposed for the numerical discretization of HJBQVIs. A demonstrative computational example of the HJBQVIs, with emphasis on a stand-alone experimental system, is finally presented with practical implications for its cost-effective operation.

リンク情報
DOI
https://doi.org/10.1002/asmb.2485
Scopus
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85071644100&origin=inward
Scopus Citedby
https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85071644100&origin=inward
URL
https://onlinelibrary.wiley.com/doi/pdf/10.1002/asmb.2485
URL
https://onlinelibrary.wiley.com/doi/full-xml/10.1002/asmb.2485

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