Reactive Power and Voltage Control in Distribution Systems With Limited Switching Operations

An algorithm based on a nonlinear interior-point method and discretization penalties is proposed in this paper for the solution of the mixed-integer nonlinear programming (MINLP) problem associated with reactive power and voltage control in distribution systems to minimize daily energy losses, with...

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Published in:	IEEE transactions on power systems Vol. 24; no. 2; pp. 889 - 899
Main Authors:	Liu, M.B., Canizares, C.A., Huang, W.
Format:	Journal Article
Language:	English
Published:	New York IEEE 01.05.2009 The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Institute of Electrical and Electronics Engineers (IEEE)
Subjects:	Algorithms Control systems Distribution systems Dynamic programming Dynamic scheduling Electric potential Energy loss Genetic algorithms interior point methods Mathematical models mixed integer nonlinear programming nonlinear programming optimal switching operations optimization solvers Power system modeling Reactive power Reactive power control Sparse matrices Studies Substations Switched capacitor networks Switching Voltage Voltage control
ISSN:	0885-8950, 1558-0679, 1558-0679
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Abstract	An algorithm based on a nonlinear interior-point method and discretization penalties is proposed in this paper for the solution of the mixed-integer nonlinear programming (MINLP) problem associated with reactive power and voltage control in distribution systems to minimize daily energy losses, with time-related constraints being considered. Some of these constraints represent limits on the number of switching operations of transformer load tap changers (LTCs) and capacitors, which are modeled as discrete control variables. The discrete variables are treated here as continuous variables during the solution process, thus transforming the MINLP problem into an NLP problem that can be more efficiently solved exploiting its highly sparse matrix structure; a strategy is developed to round these variables off to their nearest discrete values, so that daily switching operation limits are properly met. The proposed method is compared with respect to other well-known MINLP solution methods, namely, a genetic algorithm and the popular GAMS MINLP solvers BARON and DICOPT. The effectiveness of the proposed method is demonstrated in the well-known PG&E 69-bus distribution network and a real distribution system in the city of Guangzhou, China, where the proposed technique has been in operation since 2003.
AbstractList	An algorithm based on a nonlinear interior-point method and discretization penalties is proposed in this paper for the solution of the mixed-integer nonlinear programming (MINLP) problem associated with reactive power and voltage control in distribution systems to minimize daily energy losses, with time-related constraints being considered. Some of these constraints represent limits on the number of switching operations of transformer load tap changers (LTCs) and capacitors, which are modeled as discrete control variables. The discrete variables are treated here as continuous variables during the solution process, thus transforming the MINLP problem into an NLP problem that can be more efficiently solved exploiting its highly sparse matrix structure; a strategy is developed to round these variables off to their nearest discrete values, so that daily switching operation limits are properly met. The proposed method is compared with respect to other well-known MINLP solution methods, namely, a genetic algorithm and the popular GAMS MINLP solvers BARON and DICOPT. The effectiveness of the proposed method is demonstrated in the well-known PG&E 69-bus distribution network and a real distribution system in the city of Guangzhou, China, where the proposed technique has been in operation since 2003. An algorithm based on a nonlinear interior-point method and discretization penalties is proposed in this paper for the solution of the mixed-integer nonlinear programming (MINLP) problem associated with reactive power and voltage control in [abstract truncated by publisher]. An algorithm based on a nonlinear interior-point method and discretization penalties is proposed in this paper for the solution of the mixed-integer nonlinear programming (MINLP) problem associated with reactive power and voltage control in distribution systems to minimize daily energy losses, with time-related constraints being considered.
Author	Liu, M.B. Canizares, C.A. Huang, W.
Author_xml	– sequence: 1 givenname: M.B. surname: Liu fullname: Liu, M.B. organization: Electr. Power Coll., South China Univ. of Technol., Guangzhou – sequence: 2 givenname: C.A. surname: Canizares fullname: Canizares, C.A. organization: Dept. of Electr. & Comput. Eng., Univ. of Waterloo, Waterloo, ON – sequence: 3 givenname: W. surname: Huang fullname: Huang, W. organization: Foshan Power Supply Bur. of Guangdong Power Grid, Foshan
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SubjectTerms	Algorithms Control systems Distribution systems Dynamic programming Dynamic scheduling Electric potential Energy loss Genetic algorithms interior point methods Mathematical models mixed integer nonlinear programming nonlinear programming optimal switching operations optimization solvers Power system modeling Reactive power Reactive power control Sparse matrices Studies Substations Switched capacitor networks Switching Voltage Voltage control
Title	Reactive Power and Voltage Control in Distribution Systems With Limited Switching Operations
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