A Coupled Model to Multistage Transmission Expansion Planning
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A Coupled Model to Multistage Transmission Expansion Planning Raphael Paulo Braga Poubel1 · Edimar José de Oliveira1 · Leonardo de Mello Honório1 · Leonardo Willer de Oliveira1 · Ivo Chaves da Silva Junior1
Received: 5 November 2014 / Revised: 12 February 2015 / Accepted: 18 March 2015 / Published online: 31 March 2015 © Brazilian Society for Automatics–SBA 2015
Abstract This paper proposes a new approach to solving the multistage transmission line expansion planning problem. The proposed formulation incorporates decisions about where and when reinforcements should be placed to fit the desired demand. To accomplish that a expansion decision variable (ED) is incorporated into an integer, coupled and extended DC optimum power flow (I-COPF). The proposed I-COPF problem can be solved by using any commercial software for integer programming, but to reduce the computational complexity of this integer problem, a new heuristic method is presented. So, the integer problem is broken by adopting two steps: (i) the I-COPF is transformed into a continuous problem (C-COPF) by using a ED as continuous variable. This step provides a set of ED and the Lagrange multipliers for all planning period. The step (ii) uses the response provided by (i) to determine the optimal reinforcement set. These two steps are solved interactively during the planning horizon. To demonstrate the effectiveness of the proposed methodology, the results of three systems will be compared with a numerical-based approach provided by a commercial software and other academic researches.
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Edimar José de Oliveira [email protected] Raphael Paulo Braga Poubel [email protected] Leonardo de Mello Honório [email protected] Leonardo Willer de Oliveira [email protected] Ivo Chaves da Silva Junior [email protected]
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Electrical Engineering Graduate Program, Federal University of Juiz de Fora, Juiz de Fora, Brazil
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Keywords Multistage expansion planning · Coupled expansion decision variable · Multiyear investment · Heuristic algorithms · Lagrange multiplies
1 Introduction The static transmission system expansion planning (S-TSEP) consists of determining, among all possibilities, whatever set of reinforcements is able to attend a given demand considering all technical criteria with minimum investment cost. In this type of analysis, each studied reinforcement set presents constraints such as reactive and active power flows, multiareas power interchange and voltage limitations. These characteristics make S-TSEP a very complex process that deals with continuous and integer variables, which is classified as a nonlinear mixed-integer programming. The S-TSEP defines only the optimal locations and type of investments. Combinatorial methods are able to deal with several variables producing interesting results; however, the computational time still remains an issue. Moreover, although nonlinear optimization methods have shown high computational efficiency, they are not suitable to deal with high-scale discrete systems. T
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