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Theoretical Studies of Active Power/angle Sub-matrix in Power Flow Jacobian for Power System Analysis

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【作者】 曹国云张卿钟德成陈陈

【Author】 CAO Guo-yun1, ZHANG Qing1, CHUNG T S, CHEN Chen1(1. Department of Electrical Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2. Department of Electrical Engineering, Hong Kong Polytechnic University, Hong Kong, China)

【机构】 Department of Electrical Engineering, Shanghai Jiaotong UniversityDepartment of Electrical Engineering, Hong Kong Polytechnic University

【摘要】 Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so that it is invertible. Also the necessary conditions for its singularity are given. These theoretical results can be used to clarify the ambiguous understanding of the sub-matrix in current literature, and also provide the theoretical foundations for the applications based on reduced power flow Jacobian. Numerical simulation on the IEEE 118-bus power system is used to illustrate our results.

【Abstract】 Properties of the active power/angle sub-matrix in the power flow Jacobian for power system analysis are studied. The sub-matrix is a dominant and irreducible matrix under very general conditions of power systems, so that it is invertible. Also the necessary conditions for its singularity are given. These theoretical results can be used to clarify the ambiguous understanding of the sub-matrix in current literature, and also provide the theoretical foundations for the applications based on reduced power flow Jacobian. Numerical simulation on the IEEE 118-bus power system is used to illustrate our results.

【基金】 the National Natural Science Foundation of China (No. 50307007)
  • 【文献出处】 Journal of Shanghai Jiaotong University(Science) ,上海交通大学学报(英文版) , 编辑部邮箱 ,2008年05期
  • 【分类号】TM711
  • 【被引频次】3
  • 【下载频次】107
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