Optimal Conductor Size Selection and Reconductoring in Radial Distribution Systems Using a Mixed-Integer LP Approach

This paper presents a mixed-integer linear programming model to solve the conductor size selection and reconductoring problem in radial distribution systems. In the proposed model, the steady-state operation of the radial distribution system is modeled through linear expressions. The use of a mixed-integer linear model guarantees convergence to optimality using existing optimization software. The proposed model and a heuristic are used to obtain the Pareto front of the conductor size selection and reconductoring problem considering two different objective functions. The results of one test system and two real distribution systems are presented in order to show the accuracy as well as the efficiency of the proposed solution technique.

[1]  George J. Anders,et al.  Parameters affecting economic selection of cable sizes , 1993 .

[2]  Antonio J. Conejo,et al.  Transmission expansion planning: a mixed-integer LP approach , 2003 .

[3]  F. Mendoza,et al.  Optimal Conductor Size Selection in Radial Power Distribution Systems Using Evolutionary Strategies , 2006, 2006 IEEE/PES Transmission & Distribution Conference and Exposition: Latin America.

[4]  M. J. Rider,et al.  Efficient heuristic algorithm used for optimal capacitor placement in distribution systems , 2010 .

[5]  J. C. Pidre,et al.  Optimal planning of unbalanced networks using dynamic programming optimization , 2004, IEEE Transactions on Power Systems.

[6]  Jaydev Sharma,et al.  Optimal conductor sizing in radial distribution systems planning , 2008 .

[7]  Felix F. Wu,et al.  Network Reconfiguration in Distribution Systems for Loss Reduction and Load Balancing , 1989, IEEE Power Engineering Review.

[8]  R. Srinivasa Rao OPTIMAL CONDUCTOR SELECTION FOR LOSS REDUCTION IN RADIAL DISTRIBUTION SYSTEMS USING DIFFERENTIAL EVOLUTION , 2010 .

[9]  Brian W. Kernighan,et al.  AMPL: A Modeling Language for Mathematical Programming , 1993 .

[10]  Lothar Thiele,et al.  Multiobjective evolutionary algorithms: a comparative case study and the strength Pareto approach , 1999, IEEE Trans. Evol. Comput..

[11]  M. E. Baran,et al.  Optimal capacitor placement on radial distribution systems , 1989 .

[12]  Marvasti Vahid,et al.  Combination of optimal conductor selection and capacitor placement in radial distribution systems for maximum loss reduction , 2009, 2009 IEEE International Conference on Industrial Technology.

[13]  Ignacio J. Ramirez-Rosado,et al.  Genetic algorithms applied to the design of large power distribution systems , 1998 .

[14]  Xiaohui Chen,et al.  Integrated methodology of reactive planning and conductor sizing in radial distribution , 2005, IEEE Power Engineering Society General Meeting, 2005.

[15]  Evangelos Triantaphyllou,et al.  Multi-criteria Decision Making Methods: A Comparative Study , 2000 .

[16]  Vladimiro Miranda,et al.  Genetic algorithms in optimal multistage distribution network planning , 1994 .

[17]  Anil Pahwa,et al.  Optimal selection of conductors for distribution feeders , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[18]  Turan Gonen,et al.  Electric Power Distribution Engineering , 2014 .

[19]  R. Ranjan,et al.  Optimal conductor selection of radial distribution feeders using evolutionary programming , 2003, TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region.

[20]  H. N. Tram,et al.  Optimal conductor selection in planning radial distribution systems , 1988 .

[21]  A. J. Urdaneta,et al.  Integral planning of primary-secondary distribution systems using mixed integer linear programming , 2005 .

[22]  L.S. Barreto,et al.  Multistage Model for Distribution Expansion Planning With Distributed Generation—Part I: Problem Formulation , 2008, IEEE Transactions on Power Delivery.

[23]  K. S. Prakasa Rao,et al.  An Approach to Optimal Distribution System Planning Through Conductor Gradation , 1982, IEEE Transactions on Power Apparatus and Systems.

[24]  Xiaohui Wang,et al.  A practical approach to the conductor size selection in planning radial distribution systems , 2000 .