Discrete Particle Swarm Optimization Algorithm Used for TNEP Considering Network Adequacy Restriction

Transmission network expansion planning (TNEP) is a basic part of power system planning that determines where, when and how many new transmission lines should be added to the network. Up till now, various methods have been presented to solve the static transmission network expansion planning (STNEP) problem. But in all of these methods, transmission expansion planning considering network adequacy restriction has not been investigated. Thus, in this paper, STNEP problem is being studied considering network adequacy restriction using discrete particle swarm optimization (DPSO) algorithm. The goal of this paper is obtaining a configuration for network expansion with lowest expansion cost and a specific adequacy. The proposed idea has been tested on the Garvers network and compared with the decimal codification genetic algorithm (DCGA). The results show that the network will possess maximum efficiency economically. Also, it is shown that precision and convergence speed of the proposed DPSO based method for the solution of the STNEP problem is more than DCGA approach.

Authors:

• H. Shayeghi
• M. Mahdavi
• A. Kazemi

Keywords:

• DPSO algorithm
• Adequacy restriction
• STNEP.

References:

[1] A. R. Abdelaziz, Genetic algorithm-based power transmission expansion
planning, Proc. the 7th IEEE International Conference on Electronics,
Circuits and Systems, Jounieh, Vol. 2, December 2000, pp. 642-645.
[2] V. A. Levi, M. S. Calovic, Linear-programming-based decomposition
method for optimal planning of transmission network investments, IEE
Proc. Generation, Transmission and Distribution, Vol. 140, No. 6, 1993,
pp. 516-522.
[3] S. Binato, G. C. de Oliveira, J. L. Araujo, A greedy randomized adaptive
search procedure for transmission expansion planning, IEEE Trans.
Power Systems, Vol. 16, No. 2, 2001, pp. 247-253.
[4] J. Choi, T. Mount, R. Thomas, Transmission system expansion plans in
view point of deterministic, probabilistic and security reliability criteria,
Proc. the 39th Hawaii International Conference on System Sciences,
Hawaii, Vol. 10, Jan. 2006, pp. 247b-247b.
[5] I. D. J. Silva, M. J. Rider, R. Romero, C. A. Murari, Transmission
network expansion planning considering uncertainness in demand, Proc.
2005 IEEE Power Engineering Society General Meeting, Vol. 2, pp.
1424-1429.
[6] S. Binato, M. V. F. Periera, S. Granville, A new Benders decomposition
approach to solve power transmission network design problems, IEEE
Trans. Power Systems, Vol. 16, No. 2, 2001, pp. 235-240.
[7] L. L. Garver, Transmission net estimation using linear programming,
IEEE Trans. Power Apparatus and Systems, Vol. PAS-89, No. 7, 1970,
pp. 1688-1696.
[8] T. Al-Saba, I. El-Amin, The application of artificial intelligent tools to
the transmission expansion problem, Electric Power Systems Research,
Vol. 62, No. 2, 2002, pp. 117-126.
[9] R. Chaturvedi, K. Bhattacharya, J. Parikh, Transmission planning for
Indian power grid: a mixed integer programming approach,
International Trans. Operational Research, Vol. 6, No. 5, 1999, pp.
465-482.
[10] J. Contreras, F. F. Wu, A kernel-oriented algorithm for transmission
expansion planning, IEEE Trans. Power Systems, Vol. 15, No. 4, 2000,
pp. 1434-1440.
[11] R. A. Gallego, A. Monticelli, R. Romero, Transmission system
expansion planning by an extended genetic algorithm, IEE Proc.
Generation, Transmission and Distribution, Vol. 145, No. 3, 1998, pp.
329-335.
[12] R. A. Gallego, R. Romero, A. J. Monticelli, Tabu search algorithm for
network synthesis, IEEE Trans. Power Systems, Vol. 15, No. 2, 2000,
pp. 490-495.
[13] K. J. Kim, Y. M. Park, K. Y. Lee, Optimal long-term transmission
expansion planning based on maximum principle, IEEE Trans. Power
Systems, Vol. 3, No. 4, 1988, pp. 1494-1501.
[14] G. Liu, H. Sasaki, N. Yorino, Application of network topology to long
range composite expansion planning of generation and transmission
lines, Electric Power Systems Research, Vol. 57, No. 3, 2001, pp. 157-
162.
[15] M. V. F. Periera, L. M. V. G. Pinto, Application of sensitivity analysis
of load supplying capacity to interactive transmission expansion
planning, IEEE Trans. Power Apparatus and Systems, Vol. PAS-104,
1985, pp. 381-389.
[16] R. Romero, R. A. Gallego, A. Monticelli, Transmission system
expansion planning by simulated annealing, IEEE Trans. Power
Systems, Vol. 11, No. 1, 1996, pp. 364-369.
[17] R. Romero, A. Monticelli, A hierarchical decomposition approach for
transmission network expansion planning, IEEE Trans. Power Systems,
Vol. 9, No. 1, 1994, pp. 373-380.
[18] R. Romero, A. Monticelli, A zero-one implicit enumeration method for
optimizing investments in transmission expansion planning, IEEE Trans.
Power Systems, Vol. 9, No. 3, 1994, pp. 1385-1391.
[19] H. Samarakoon, R. M. Shrestha, O. Fujiwara, A mixed integer linear
programming model for transmission expansion planning with
generation location selection, Electrical Power and Energy Systems,
Vol. 23, No. 4, 2001, pp. 285-293.
[20] E. L. da Silva, H. A. Gil, J. M. Areiza, Transmission network expansion
planning under an improved genetic algorithm, IEEE Trans. Power
Systems, Vol. 15, No. 3, 2000, pp. 1168-1174.
[21] R. Teive, E. L. Silva, L. G. S. Fonseca, A cooperative expert system for
transmission expansion planning of electrical power systems, IEEE
Trans. Power Systems, Vol. 13, No. 2, 1998, pp. 636-642.
[22] J. Yen, Y. Yan, J. Contreras, P. C. Ma, F. F. Wu, Multi-agent approach
to the planning of power transmission expansion, Decision Support
Systems, Vol. 28, No. 3, 2000, pp. 279-290.
[23] N. Alguacil, A. L. Motto, A. J. Conejo, Transmission expansion
planning: a mixed-integer LP approach, IEEE Trans. Power Systems,
Vol. 18, No. 3, 2003, pp. 1070-1077.
[24] A. M. L. da Silva, S. M. P. Ribeiro, V. L. Arienti, R. N. Allan, M. B. D.
C. Filho, Probabilistic load flow techniques applied to power system
expansion planning, IEEE Trans. Power Systems, Vol. 5, No. 4, 1990,
pp. 1047-1053.
[25] R. A. Gallego, A. B. Alves, A. Monticelli, R. Romero, Parallel simulated
annealing applied to long term transmission network expansion
planning, IEEE Trans. Power Systems, Vol. 12, No. 1, 1997, pp. 181-
188.
[26] R. S. Chanda, P. K. Bhattacharjee, A reliability approach to transmission
expansion planning using fuzzy fault-tree model, Electric Power
Systems Research, Vol. 45, No. 2 1998, pp. 101-108.
[27] R. S. Chanda, P. K. Bhattacharjee, A reliability approach to transmission
expansion planning using minimal cut theory, Electric Power Systems
Research, Vol. 33, No. 2, 1995, pp. 111-117.
[28] N. H. Sohtaoglu, The effect of economic parameters on power
transmission planning, IEEE Trans. Power Systems, Vol. 13, 1998, pp.
941-945.
[29] B. Graeber, Generation and transmission expansion planning in southern
Africa, IEEE Trans. Power Systems, Vol. 14, 1999, pp. 983-988.
[30] M. S. Kandil, S. M. El-Debeiky, N. E. Hasanien, Rule-based system for
determining unit locations of a developed generation expansion plan for
transmission planning, IEE Proc. Generation, Transmission and
Distribution, Vol. 147, No. 1, 2000, pp. 62-68.
[31] S. T. Y. Lee, K. L. Hocks, H. Hnyilicza, Transmission expansion of
branch and bound integer programming with optimal cost capacity
curves, IEEE Trans. Power Apparatus and Systems, Vol. PAS-93, No. 7,
1970, pp. 1390-1400.
[32] A. S. D. Braga, J. T. Saraiva, A multiyear dynamic approach for
transmission expansion planning and long-term marginal costs
computation, IEEE Trans. Power Systems, Vol. 20, No. 3, 2005, pp.
1631-1639.
[33] Y. X. Jin, H. Z. Cheng, J. Y. M. Yan, L. Zhang, New discrete method
for particle swarm optimization and its application in transmission
network expansion planning. Electric Power Systems Research, Vol. 77,
No. 3-4, 2007, pp. 227-233.
[34] S. Jalilzadeh, A. Kazemi, H. Shayeghi, M. Mahdavi, Technical and
economic evaluation of voltage level in transmission network expansion
planning using GA, Energy Conversion and Management, Vol. 49, No.
5, May 2008, pp. 1119-1125.
[35] H. Shayeghi, S. Jalilzadeh, M. Mahdavi, H. Haddadian, Studying
influence of two effective parameters on network losses in transmission
expansion planning using DCGA, Energy Conversion and Management,
Vol. 49, No. 11, 2008, pp. 3017-3024.
[36] H. Shayeghi, A. Jalili, H. A. Shayanfar, Multi-stage fuzzy load
frequency control using PSO, Energy Conversion and Management,
Vol. 49, No. 10, 2008, pp. 2570-2580.
[37] J. Kennedy, R. Eberhart, Y. Shi, Swarm intelligence, Morgan Kaufmann
Publishers, San Francisco; 2001.
[38] M. Clerc, J. Kennedy, The particle swarm-explosion, stability, and
convergence in a multidimensional complex space, IEEE Trans.
Evolutionary Computation, Vol. 6, No. 1, 2002, pp. 301758-73.