Optimal Power Usage by Stochastic Programming

• SATO Yuma

  College of Information Science and Engineering, Ritsumeikan University

• SEO Masataka

  College of Information Science and Engineering, Ritsumeikan University

• SAKAKIBARA Kazutoshi

  Faculty of Engineering, Toyama Prefectural University

• NISHIKAWA Ikuko

  College of Information Science and Engineering, Ritsumeikan University

Bibliographic Information

Other Title

• 確率計画法による電力運用最適化
• カクリツ ケイカクホウ ニ ヨル デンリョク ウンヨウ サイテキカ

Abstract

Power usage optimization by two stage stochastic programming is studied for a single smart house equipped with a solar power generator and a rechargeable battery, and also for a power transfer network composed of smart houses. Optimization is defined as the minimization of the total power purchase over a certain period with decision variables which describe the power purchase, charge/discharge and mutual transfer. Linear programming model (LP) is extended to a stochastic programming model (SP) when power generation and consumption are given not as fixed values but as stochastic variables under a certain distribution. Two types of recourse variables are introduced to express the power purchase and the charge to and discharge from a battery. Numerical experiments are executed to compare the optimal plans obtained by LP, 1-variable SP and 2-variables SP using measurement data obtained by survey researches. The first experiment is for a community which shares the power generator and battery. The second experiment is for a small network of two smart houses which mutually transfer the generated power. Both experiments show the effectiveness of 2-variables SP with charge/discharge recourses. Obtained global optimality for a whole network is compared with a local optimality for each house under a certain power price. Price adjustment is discussed for the global optimality based on the local optimality.

Journal

• Transactions of the Society of Instrument and Control Engineers

  Transactions of the Society of Instrument and Control Engineers 54 (9), 728-736, 2018

  The Society of Instrument and Control Engineers

Keywords

• two-stage stochastic programming
• power usage planning
• solar power generation
• power transfer network

Details

• CRID: 1390564238025298176
• NII Article ID: 130007485169
• NII Book ID: AN00072392
• DOI: 10.9746/sicetr.54.728
• ISSN: 18838189
• ISSN: 04534654
• NDL BIB ID: 029263506
• Web Site: http://id.ndl.go.jp/bib/029263506
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I029263506
• Web Site: https://www.jstage.jst.go.jp/article/sicetr/54/9/54_728/_pdf
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed