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	Development of multidimensional sequence operation theory with applications to risk evaluation in power system generation scheduling
	Xia Qing ; Yang GaoFeng ; Kang Chong-Qing
	2010-10-12 ; 2010-10-12
关键词	Practical Theoretical or Mathematical/ power generation scheduling probability risk analysis/ multidimensional sequence operation theory risk evaluation power system generation scheduling probability multiple state variables multiple attribute values integrated theory/ B8110B Power system management, operation and economics B0240Z Other topics in statistics
中文摘要	Sequence operation theory (SOT) is a powerful tool for solving complex probabilistic problems in power system. However, the basic single dimension SOT cannot satisfy the requirement of multi-state and multi-attribute analysis, which is often the case in actual power system practice. To address this problem, multidimensional sequence operation theory (MSOT) is developed. On the basis of previous research, this paper first categorizes the situations by the number of state variables and the number of attribute values, and defines the multidimensional sequence for single state variable and multiple attribute values, as well as the multidimensional sequence for multiple state variables and multiple attribute values. Corresponding to those definitions, four types of operations between two discrete multidimensional sequences are derived respectively. Therefore, the sequence is extended from single dimensional to multidimensional, establishing an integrated theory of multidimensional sequence operation. In particular, the basic single dimension SOT can be viewed as a special case of MSOT with only one state variable and one attribute value. Finally, the paper demonstrates the effectiveness of MSOT through an example of risk evaluation in power system generation scheduling.
语种	英语
出版者	Springer Netherlands ; Netherlands
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/82290]
专题	清华大学
推荐引用方式 GB/T 7714	Xia Qing,Yang GaoFeng,Kang Chong-Qing. Development of multidimensional sequence operation theory with applications to risk evaluation in power system generation scheduling[J],2010, 2010.
APA	Xia Qing,Yang GaoFeng,&Kang Chong-Qing.(2010).Development of multidimensional sequence operation theory with applications to risk evaluation in power system generation scheduling..
MLA	Xia Qing,et al."Development of multidimensional sequence operation theory with applications to risk evaluation in power system generation scheduling".(2010).

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