**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30184

##### Transmission Expansion Planning Considering Network Adequacy and Investment Cost Limitation using Genetic Algorithm

**Authors:**
M. Mahdavi,
E. Mahdavi

**Abstract:**

In this research, STNEP is being studied considering network adequacy and limitation of investment cost by decimal codification genetic algorithm (DCGA). The goal is obtaining the maximum of network adequacy with lowest expansion cost for a specific investment. Finally, the proposed idea is applied to the Garvers 6-bus network. The results show that considering the network adequacy for solution of STNEP problem is caused that among of expansion plans for a determined investment, configuration which has relatively lower expansion cost and higher adequacy is proposed by GA based method. Finally, with respect to the curve of adequacy versus expansion cost it can be said that more optimal configurations for expansion of network are obtained with lower investment costs.

**Keywords:**
TNEP,
Network Adequacy,
Investment Cost,
GA

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1086125

**References:**

[1] A. R. Abdelaziz, Genetic algorithm-based power transmission expansion planning, The 7th IEEE International Conference on Electronics, Circuits and Systems, Vol. 2, 2000, pp. 642-645.

[2] V. A. Levi, and 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, and R. Thomas, Transmission system expansion plans in view point of deterministic, probabilistic and security reliability criteria, The 39th Hawaii international conference on system sciences, Vol. 10, 2006, pp. 247b-247b.

[5] I. D. J. Silva, M. J. Rider, R. Romero, and C. A. Murari, Transmission network expansion planning considering uncertainness in demand, IEEE Power Engineering Society General Meeting, Vol. 2, pp. 2005, 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, and I. El-Amin, The application of artificial intelligent tools to the transmission expansion problem, Electric Power Systems Research, Vvol. 62, No. 2, 2002, pp. 117-126.

[9] R.Chaturvedi, K.Bhattacharya, and 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, and 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, and 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, and 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, and 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. M. D. R. H. Samarakoon, R. M. Shrestha, and 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. C. G. Teive, E. L., Silva, and 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, and 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, and A. J. Conejo, Transmission expansion planning: a mixed-integer LP approach, IEEE Trans. Power Systems, Vol. 18, No. 3, 2003, pp. 1070-1077.

[24] H. Shayeghi, M. Mahdavi and A. Bagheri, Discrete PSO algorithm based optimization of transmission lines loading in TNEP problem, Energy Conversion and Management, Vol. 51, No. 1, 2010, pp. 112- 121.

[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] S. Jalilzadeh, A. Kimiyaghalam, and A. Ashouri, Evaluating the effects of uncertainty in fuel price on transmission network expansion planning using IADPSO approach, International Journal on Technical and Physical Problems of Engineering, Vol. 3, No. 2, 2011, pp. 1-9.

[27] R. S. Chanda, and 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.

[28] A. M. L. Silva, L. S. Rezende, L. A. F. Manso, and L. C. Resende, Reliability worth applied to transmission expansion planning based on ant colony system, International Journal of Elecrical Power and Energy Systems, Vol. 32, No. 13, 2010, pp. 1077-1084.

[29] N. H. Sohtaoglu, The effect of economic parameters on power transmission planning, IEEE Trans. Power Systems, Vol. 13, May 1998, pp. 941-945.

[30] B. Graeber, Generation and transmission expansion planning in southern Africa, IEEE Trans. Power Systems, Vol. 14, 1999, pp. 983-988.

[31] M. S. Kandil, S. M. El-Debeiky, and 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.

[32] S. T. Y. Lee, K. L. Hocks, and H. Hnyilicza, Transmission expansion of branch and bound integer programming with optimal cost capacity curves, IEEE Trans. Power Apparatus and Systems, Vol. PAS- 93, 1970, pp. 1390-1400.

[33] A. S. D. Braga, and 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.

[34] S. Jalilzadeh, A. Kazemi, H. Shayeghi, and M. Mahdavi, Technical and economic evaluation of voltage level in transmission network expansion planning using GA, Energy Conversion and Management, Vol. 49, No. 5, 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] M. Mahdavi, H. Shayeghi, A. Kazemi, DCGA based evaluating role of bundle lines in TNEP considering expansion of substations from voltage level point of view, Energy Conversion and Management, Vol. 50, No. 8, 2009, pp. 2067-2073.

[37] H. Shayeghi, and M. Mahdavi, Genetic algorithm based studying of bundle lines effect on network losses in transmission network expansion planning, Journal of Electrical Engineering, Vol. 60, No. 5, 2009, pp. 1- 9.