© The Institution of Engineering and Technology
Distribution network planning is a very complicated, non-linear, large scale multi-objective and multi-constraint combinatorial optimisation problem. The capacity, location and power supply range of the substation and the distribution network are optimised based on the load forecasting. In previous studies, this problem usually decomposes into two sub-problems, one is substation planning and the other is distribution network planning. The authors propose a method based on the self-adjustment weighted Voronoi diagram (WVD) using genetic algorithms and particle swarm optimisation for planning substations, which can optimise the location and power range of the substations when both the number and capacity of the substations are known. The weight is calculated according to the substation capacity and load distribution, and then the authors form the self-adjusted WVD whose weight can be adaptively adjusted. This method ensures the convergence of the algorithm and also makes the location and power supply range of the substations more reasonable. On this basis, the self-adjusted WVD based on the elitist selection genetic algorithm (ESGA-WVD) or the particle swarm optimisation algorithm (PSO-WVD) is achieved using the global search feature of the ESGA or the PSO. Numerical results show that ESGA-WVD and PSO-WVD are more reliable and reasonable than single ESGA, PSO or WVD; both in the determination of substation location and in the division of the substation power supply range. Compared with ESGA-WVD, PSO-WVD is better in terms of running time, convergence rate and investment costs.
References
-
-
1)
-
11. Liu, C.M., Kao, R.L., Wang, A.H.: ‘Solving location-allocation problems with rectilinear distances by simulated annealing’, J. Oper. Res. Soc., 1994, 45, (11), pp. 1304–1315 (doi: 10.2307/2583858).
-
2)
-
6. Gang, D., Yixin, Y.: ‘A study on global optimization for NP hard problems in power systems [J]’, Autom. Electr. Power Systems, 2001, 25, (5), pp. 14–18.
-
3)
-
15. Chen, G.J., Li, K.K., Wang, L.: ‘Distribution system planning by tabu search approach’, Autom. Electr. Power Syst., 2001, 25, (7), pp. 40–44.
-
4)
-
7. Hsu, Y.Y., Chen, J.L.: ‘Distribution planning using a knowledge-based expert system’, IEEE Trans. Power Deliv., 1990, 5, (3), pp. 1514–1519 (doi: 10.1109/61.57995).
-
5)
-
12. Bouchard, D.E., Salama, M.M.A., Chikhani, A.Y.: ‘Optimal feeder routing and optimal substation sizing and placement using guided evolutionary simulated annealing’. Canadian Conf. Electrical and Computer Engineering, Montreal, Canadian, September 1995, pp. 688–691.
-
6)
-
4. Quintana, V.H., Temaz, H.K., Hipel, K.W.: ‘Two-stage power system distribution planning algorithm’, IEE Proc., Gener. Transm. Distrib.1993, 140, (1), pp. 17–29 (doi: 10.1049/ip-c.1993.0004).
-
7)
-
14. Haghifam, M.R., Shahabi, M.: ‘Optimal location and sizing of HV/MV substation in uncertainty load environment using genetic algorithm’, Electr. Power Syst. Res., 2002, 63, (1), pp. 37–50 (doi: 10.1016/S0378-7796(02)00087-1).
-
8)
-
2. Thompson, G.L., Wall, D.L.: ‘A branch and bound model for choosing optimal substation locations’, IEEE Trans. Power Appar. Syst., 1981, 100, (5), pp. 2683–2688 (doi: 10.1109/TPAS.1981.316784).
-
9)
-
20. Kennedy, J., Eberhart, R.: ‘Particle swarm optimization’. Proc. Int. Conf. Neural Networks, Perth, Australia, November 1995, pp. 1942–1948.
-
10)
-
E. Miguez ,
J. Cidras ,
E. Diaz-Dorado
.
An improved branch-exchange algorithm for large-scale distribution network planning.
IEEE Trans. Power Syst.
,
4 ,
931 -
936
-
11)
-
19. Zhou, M., Sun, S.D.: ‘Genetic algorithm: theory and applications’ (National Defense Industrial Press, Beijing, 1999, 1st edn.).
-
12)
-
S.K. Goswami
.
Distribution system planning using branch exchange technique.
IEEE Trans. Power Syst.
,
2 ,
718 -
723
-
13)
-
1. Wall, D.L., Thompson, G.L., Northcote-Green, J.E.D.: ‘An optimization model for planning radial distribution networks’, IEEE Trans. Power Appar. Syst., 1979, 98, (3), pp. 1061–1068 (doi: 10.1109/TPAS.1979.319269).
-
14)
-
17. Navarro, A., Rudnick, H.: ‘Large-scale distribution planning: II. Macro-optimization with Voronoi's diagram and tabu search’, IEEE Trans. Power Syst., 2009, 24, (2), pp. 752–758 (doi: 10.1109/TPWRS.2009.2016594).
-
15)
-
22. Ruqing, C., Jinshou, Y.: ‘Study and application of chaos-particle swarm optimization-based hybrid optimization algorithm’, J. Syst. Simul., 2008, 20, (3), pp. 685–688.
-
16)
-
8. Lo, K.L., Nashid, I.: ‘Interactive expert system for optimal design of electricity distribution systems’, IEE Proc., Gener. Transm. Distrib.1996, 143, (2), pp. 151–156 (doi: 10.1049/ip-gtd:19960329).
-
17)
-
16. Mori, H., Iimura, Y.: ‘Application of parallel tabu search to distribution network expansion planning with distributed generation’. 2003 IEEE Bologna Power Tech Conf., Bologna, Italy, June 2003, pp. 23–26.
-
18)
-
3. Ponnavaikka, M., Rao, K.S.P., Venkata, S.S.: ‘Distribution system planning through a quadratic mixed integer programming approach’, IEEE Trans. Power Deliv., 1987, 2, (4), pp. 1157–1163 (doi: 10.1109/TPWRD.1987.4308237).
-
19)
-
21. Shi, Y., Eberhart, R.: ‘A modified particle swarm optimizer’. IEEE Int. Conf. Evolutionary Computation, Anchorage, Alaska, May 1998, pp. 69–73.
-
20)
-
5. Temraz, H.K., Salama, M.M.A.: ‘A planning model for siting, sizing and timing of distribution substation and defining the associated service area’, Electr. Power Syst. Res., 2002, 62, (2), pp. 145–151 (doi: 10.1016/S0378-7796(02)00040-8).
-
21)
-
18. Ge, S.Y., Li, H., Liu, H.: ‘Substation optimization planning based on the weighted Voronoi diagram’, Autom. Electr. Power Syst., 2007, 31, (3), pp. 29–34.
-
22)
-
13. Miguez, E., Diaz-Dorado, E., Cidras, J.: ‘An application of an evolution strategy in power distribution system planning’. Proc. IEEE Int. Conf. Evolutionary Computation, Anchorage, Alaska, May 1998, pp. 241–246.
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