A Coupled Model to Multistage Transmission Expansion Planning

被引:3
作者
Poubel R.P.B. [1 ]
de Oliveira E.J. [1 ]
de Mello Honório L. [1 ]
de Oliveira L.W. [1 ]
da Silva Junior I.C. [1 ]
机构
[1] Electrical Engineering Graduate Program, Federal University of Juiz de Fora, Juiz de Fora
关键词
Coupled expansion decision variable; Heuristic algorithms; Lagrange multiplies; Multistage expansion planning; Multiyear investment;
D O I
10.1007/s40313-015-0179-1
中图分类号
学科分类号
摘要
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. © 2015, Brazilian Society for Automatics--SBA.
引用
收藏
页码:272 / 282
页数:10
相关论文
共 17 条
[1]  
Binato S., De Oliveira G., De Araujo J., A greedy randomized adaptive search procedure for transmission expansion planning, IEEE Transactions on Power Systems, 16, 2, pp. 247-253, (2001)
[2]  
Bustamante-Cedeno E., Arora S., Multi-step simultaneous changes constructive heuristic algorithm for transmission network expansion planning, Electric Power Systems Research, 79, 4, pp. 586-594, (2009)
[3]  
da Rocha M.C., Saraiva J.T., Multiyear transmission expansion planning using discrete evolutionary particle swarm optimization. In Energy market (EEM), 2011 8th international conference on the European, IEEE, pp. 802-807, (2011)
[4]  
da Rocha M.C., Saraiva J.T., A multiyear dynamic transmission expansion planning model using a discrete based epso approach, Electric Power Systems Research, 0, 93, pp. 83-92, (2012)
[5]  
da Rocha M.C., Saraiva J.T., A discrete evolutionary pso based approach to the multiyear transmission expansion planning problem considering demand uncertainties, Electrical Power and Energy Systems, 0, 45, pp. 427-442, (2013)
[6]  
da Silva A., da Fonseca Manso L., de Resende L., Rezende L., Tabu search applied to transmission expansion planning considering losses and interruption costs. In Probabilistic methods applied to power systems, 2008. PMAPS’08. Proceedings of the 10th international conference on, IEEE, pp. 1-7, (2008)
[7]  
de la Torre S., Conejo A., Contreras J., Transmission expansion planning in electricity markets, IEEE Transactions on Power Systems, 23, 1, pp. 238-248, (2008)
[8]  
de Mendonca I.M., Junior I.C.S., Marcato A.L., Static planning of the expansion of electrical energy transmission systems using particle swarm optimization, International Journal of Electrical Power and Energy Systems, 60, pp. 234-244, (2014)
[9]  
de Oliveira E.J., Rosseti G.J., de Oliveira L.W., Gomes F.V., Peres W., New algorithm for reconfiguration and operating procedures in electric distribution systems, International Journal of Electrical Power and Energy Systems, 57, pp. 129-134, (2014)
[10]  
deOliveira E., daSilva I., Pereira J., Carneiro S., Transmission system expansion planning using a sigmoid function to handle integer investment variables, IEEE Transactions on Power Systems, 20, 3, pp. 1616-1621, (2005)