Theoretical studies of active power/angle sub-matrix in power flow Jacobian for power system analysis |
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| Authors: | Guo-yun Cao Qing Zhang T S Chung Chen Chen |
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| Institution: | (1) Department of Electrical Engineering, Shanghai Jiaotong University, Shanghai, 200240, China;(2) Department of Electrical Engineering, Hong Kong Polytechnic University, Hong Kong, China |
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| 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. |
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| Keywords: | dominant matrix irreducible matrix power flow Jacobian reduced power flow Jacobian power system analysis V-Q sensitivity |
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