This study presents a mixed-integer linear programming (MILP) model to solve the short-term expansion planning problem of radial electrical distribution systems. The proposed model defines the construction of new circuits, the reconductoring of existing circuits, the allocation of capacitor banks (as well as the type and the number of units in operation) and the allocation of voltage regulators to minimise the total annualised investment and operation costs. In the proposed formulation, the steady-state operation of the radial distribution system is mathematically modelled through linear expressions. The use of an MILP model guarantees convergence to optimality by using existing classical optimisation tools. The model was implemented in the mathematical modelling language AMPL and solved using the commercial solver CPLEX. A 54-node test system and 201-node real distribution system were used to demonstrate the accuracy of the mathematical model, as well as the efficiency of the proposed solution technique.

References

1. 1)
  - 24. LAPSEE: http://www.feis.unesp.br/#!/departamentos/engenharia-eletrica/pesquisas-e-projetos/lapsee/downloads/materiais-de-cursos1193/, visited in January 2013.
2. 2)
  - 9. Mandal, S., Pahwa, A.: ‘Optimal selection of conductors for distribution feeders’, IEEE Trans. Power Syst., 2002, 17, (1), pp. 192–197 (doi: 10.1109/59.982213).
3. 3)
  - 10. McDermott, T.E., Drezga, I., Broadwater, R.P.: ‘A heuristic nonlinear constructive method for distribution system reconfiguration’, IEEE Trans. Power Syst., 1999, 14, (2), pp. 478–483 (doi: 10.1109/59.761869).
4. 4)
  - 14. Rangan, R., Vekatesh, B., Das, D.: ‘A new algorithm for power distribution system planning’, Electr. Power Syst. Res., 2002, 62, (1), pp. 55–65 (doi: 10.1016/S0378-7796(02)00044-5).
5. 5)
  - 20. Ramírez-Rosado, I.J., Bernal-Augustín, J.L.: ‘Genetic algorithms applied to the design of large power distribution system’, IEEE Trans. Power Syst., 1998, 13, (2), pp. 696–703 (doi: 10.1109/59.667402).
6. 6)
  - 8. Franco, J.F., Rider, M.J., Lavorato, M., Romero, R.: ‘Optimal conductor size selection and reconductoring in radial distribution systems using a mixed-integer LP approach’, IEEE Trans. Power Syst., 2013, 28, (1), pp. 10–20 (doi: 10.1109/TPWRS.2012.2201263).
7. 7)
  - S. Najafi , S. Hossein Hosseinian , M. Abedi , A. Vahidnia , S. Abachezadeh . A framework for optimal planning in large distribution networks. IEEE Trans. Power Syst. , 2 , 1019 - 1028
8. 8)
  - R.G. Cespedes . New method for the analysis of distribution networks. IEEE Trans. Power Deliv. , 1 , 391 - 396
9. 9)
  - S. Segura , M.J. Rider , R. Romero . Efficient heuristic algorithm used for optimal capacitor placement in distribution systems. Int. J. Electr. Power Energy Syst. , 1 , 71 - 78
10. 10)
  - 15. Rao, R.S.: ‘Optimal conductor selection for loss reduction in radial distribution systems using differential evolution’, Int. J. Eng. Sci. Technol., 2010, 2, (7), pp. 2829–2838.
11. 11)
  - V. Miranda , J.V. Ranito , L.M. Proenca . Genetic algorithms in optimal multistage distribution network planning. IEEE Trans. Power Syst. , 4 , 1927 - 1933
12. 12)
  - D. Kaur , J. Sharmaa . Optimal conductor sizing in radial distribution systems planning. Int. J. Electr. Power Energy Syst. , 261 - 271
13. 13)
  - 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
14. 14)
  - 4. Ponnavaikko, M., Prakasa, K.S.: ‘An approach to optimal distribution system planning through conductor gradation’, IEEE Trans. Power Appar Syst., 1982, PAS-101, (6), pp. 1735–1742 (doi: 10.1109/TPAS.1982.317227).
15. 15)
  - 5. Franco, J.F., Rider, M.J., Lavorato, M., Romero, R.: ‘A mixed-integer LP model for the optimal allocation of voltage regulators and capacitors in radial distribution systems’, Int. J. Electr. Power Energy Syst., 2013, 48, pp. 123–130 (doi: 10.1016/j.ijepes.2012.11.027).
16. 16)
  - 1. Gönem, T.: ‘Electric power distribution systems engineering’ (McGraw-Hill, New York, 1986, 1st Edn.).
17. 17)
  - D. Shirmohammamdi , H.W. Hong , A. Semlyen , G.X. Luo . A compensation-based power flow method for weakly meshed distribution and transmission network. IEEE Trans. Power Syst. , 2
18. 18)
  - S. Haffner , L. Fernando Alves Pereira , L. Alberto Pereira , L. Sangio Barreto . Multistage model for distribution expansion planning with distributed generation – Part I: problem formulation. IEEE Trans. Power Deliv. , 2 , 915 - 923
19. 19)
  - 2. Lee, H.: ‘Power distribution planning reference book’ (Basel, M. Dekker, New York, 1997).
20. 20)
  - J.M. Nahman , D.M. Peric . Optimal planning of radial distribution networks by simulated annealing technique. IEEE Trans. Power Syst. , 2 , 790 - 795
21. 21)
  - 18. ‘CPLEX optimization subroutine library guide and reference, version 11.0’ (CPLEX Division, ILOG Inc., Incline Village, NV, USA, 2008).
22. 22)
  - 6. Ganguly, S., Sahoo, N.C., Das, D.: ‘Recent advances on power distribution system planning: a state-of-the-art survey’, Energy Syst., 2013, 4, (2), pp. 165–193 (doi: 10.1007/s12667-012-0073-x).
23. 23)
  - 16. Tram, H.N., Wall, D.L.: ‘Optimal conductor selection in planning radial distribution systems’, IEEE Trans. Power Syst., 1988, 3, (1), pp. 200–206 (doi: 10.1109/59.43199).
24. 24)
  - 17. Fourer, R., Gay, D.M., Kernighan, B.W.: AMPL: a modeling language for mathematical programming’ (Brooks/Cole-Thomson Learning, Pacific Grove, CA, 2003, 2nd Edn.).

Short-term expansion planning of radial electrical distribution systems using mixed-integer linear programming

References

Related content