Revisiting the power flow problem based on a mixed complementarity formulation approach

A novel optimisation-based model of the power flow (PF) problem is proposed using complementarity conditions to properly represent generator bus voltage controls, including reactive power limits and voltage recovery processes. This model is then used to prove that the Newton–Raphson (NR) solution me...

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Bibliographic Details
Published in:	IET generation, transmission & distribution Vol. 7; no. 11; pp. 1194 - 1201
Main Authors:	Pirnia, Mehrdad, Cañizares, Claudio A, Bhattacharya, Kankar
Format:	Journal Article
Language:	English
Published:	Stevenage The Institution of Engineering and Technology 01.11.2013 Institution of Engineering and Technology The Institution of Engineering & Technology Institution of Engineering and Technology (IET)
Subjects:	1211‐bus system 2975‐bus system Applied sciences complementarity conditions Electric potential Electrical engineering. Electrical power engineering Electrical machines Electrical power engineering Exact sciences and technology Flexibility generalised reduced gradient algorithm generator bus voltage controls gradient methods IEEE 118‐bus test system IEEE 14‐bus test system IEEE 300‐bus test system IEEE 30‐bus test system IEEE 57‐bus test system IEEE standards load flow control Mathematical models mixed complementarity formulation approach Newton‐Raphson method Newton‐Raphson solution method NR solution method numerical robustness Operation. Load control. Reliability optimisation optimisation‐based model Optimization PF problem Power flow power flow problem Power networks and lines Reactive power reactive power limits Regulation and control Robustness Voltage voltage recovery processes IEEE 14-bus test system numerical robustness reactive power limits Newton-Raphson method IEEE 30-bus test system optimisation-based model voltage recovery processes NR solution method generalised reduced gradient algorithm complementarity conditions PF problem IEEE 57-bus test system mixed complementarity formulation approach Newton-Raphson solution method load flow control optimisation IEEE 118-bus test system generator bus voltage controls 1211-bus system power flow problem IEEE 300-bus test system IEEE standards 2975-bus system gradient methods Optimization method Benchmarking Voltage control Flexibility Newton Raphson method Optimization Load flow Bus system Reactive power Power flow Voltage Robustness Gradient method Recovery (properties)
ISSN:	1751-8687, 1751-8695, 1751-8695
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Summary:	A novel optimisation-based model of the power flow (PF) problem is proposed using complementarity conditions to properly represent generator bus voltage controls, including reactive power limits and voltage recovery processes. This model is then used to prove that the Newton–Raphson (NR) solution method for solving the PF problem is basically a step of the generalised reduced gradient algorithm applied to the proposed optimisation problem. To test the accuracy, flexibility and the numerical robustness of the proposed model, the IEEE 14-bus, 30-bus, 57-bus, 118-bus and 300-bus test systems and large real 1211-bus and 2975-bus systems are used, benchmarking the results of the proposed PF model against the standard NR method. It is shown that the proposed model yields adequate solutions, even in the case when the NR method fails to converge.
Bibliography:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23
ISSN:	1751-8687 1751-8695 1751-8695
DOI:	10.1049/iet-gtd.2012.0592