Controllability Analysis of an Aggregate Demand Response System. (12th July 2015)

• Record Type: Journal Article
• Authors: Sato, Kazuhiro; Azuma, Shun-Ichi
• Other Names: Xu Gen Qi Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-07-12
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/487173
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : In order to characterize the controllability of the aggregate demand response, that is, the aggregated consumer behaviors, the paper introduces the concept of controllability index which expresses the lowest occurrence probability in total electric consumption which can be changed by electric price. As the number of consumers is larger, it becomes difficult to directly analyze the controllability index. To resolve the difficulty of the large number of consumers, by using the central limit theorem, the paper approximates the controllability index and gives the solution maximizing the approximated controllability index.