Multi-period generation-transmission expansion planning with an allocation of phase shifter transformers

Document Type : Research Paper

Authors

1 Department of Electrical Engineering, Mahdishahr Branch, Islamic Azad University, Mahdishahr, Iran

2 Computer Engineering Department, South Tehran Branch, Islamic Azad University, Tehran, Iran

3 Faculty of Computer Engineering, Shahrood University of Technology, Shahrood, Iran

Abstract

This study presents a convex formulation for generation-transmission expansion planning in the presence of phase shifter transformers and aims at maximizing social welfare. By changing the voltage angle, the phase shifter transformer can control the transmission power of the line. Therefore, by installing a phase shifter transformer, one can reduce the investment cost of new lines and use the nominal capacity of available transmission lines. Accordingly, the planning of the generation-transmission expansion in this paper is formulated with the assumption that there is a pool electricity market. The problem is formulated in the form of mixed integer programming and the CPLEX solver is used to solve it in the YALMIP Toolbox environment. In the proposed method, the location, capacity and year of installation of generators, transmission lines and new phase shifter transformers will be determined simultaneously. In order to validate the proposed planning, the expansion planning of the IEEE 24-bus system has been simulated in MATLAB software. Simulation results show the efficiency of the proposed method.

Keywords

[1] T. Akbari and M.T. Bina, A linearized formulation of AC multi-year transmission expansion planning: A mixed-integer linear programming approach, Electric Power Syst. Res. 114 (2014), 93–100.
[2] T. Akbari, A. Rahimikian and A. Kazemi, A multi-stage stochastic transmission expansion planning method, Energy Conver. Manag. 52 (2011), 8-9, 2844–2853.
[3] N. Alguacil, A.L. Motto and A.J. Conejo, Transmission expansion planning: A mixed-integer LP approach, IEEE Trans. Power Syst. 18 (2003), no. 3, 1070–1077.
[4] 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 Syst. 20 (2005), no. 3, 1631–1639.
[5] M.O. Buygi, M. Shahidehpour, H.M. Shanechi and G. Balzer, Market based transmission planning under uncertainties, Int. Conf. Probabil. Meth. Appl. Power Syst., 2004, pp. 563–568.
[6] J. Choi, A.A. El-Keib and T. Tran, A fuzzy branch and bound-based transmission system expansion planning for the highest satisfaction level of the decision maker, IEEE Trans. Power Syst. 20 (2005), no. 1, 476–484.
[7] S. De La Torre, A.J. Conejo and J. Contreras, Transmission expansion planning in electricity markets, IEEE Trans. Power Syst. 23 (2008), no. 1, 238–248.
[8] E.J. De Oliveira, C.A. Moraes, L.W. Oliveira, L.M. Honorio and R.P.B. Poubel, Efficient hybrid algorithm for transmission expansion planning, Electric. Engin. 100 (2018), no. 4, 2765–2777.
[9] R. Fang and D.J. Hill, A new strategy for transmission expansion in competitive electricity markets, IEEE Trans. Power Syst. 18 (2003), no. 1, 374–380.
[10] L. Gan, G. Li and M. Zhou, Coordinated planning of large-scale wind farm integration system and transmission network, CSEE J. Power Energy Syst. 2 (2016), no. 1, 19–29.
[11] L.L. Garver, Transmission network estimation using linear programming, IEEE Trans. Power Apparatus Syst. 7 (1970), 1688–1697.
[12] P. Gavela, J.L. Rueda, A. Vargas and I. Erlich, Performance comparison of heuristic optimization methods for optimal dynamic transmission expansion planning, Int. Trans. Electric. Energy Syst. 24 (2014), no. 10, 1450–1472.
[13] P.S. Georgilakis, Market-based transmission expansion planning by improved differential evolution, Int. J. Electric. Power Energy Syst. 32 (2010), no. 5, 450–456.
[14] N. Gupta, M. Khosravy, K. Saurav, I.K. Sethi and N. Marina, Value assessment method for expansion planning of generators and transmission networks: a non-iterative approach, Electric. Engin. 100 (2018), no. 3, 1405–1420.
[15] R.A. Hooshmand, R. Hemmati and M. Parastegari, Combination of AC transmission expansion planning and reactive power planning in the restructured power system, Energy Convers. Manag. 55 (2012), 26–35.
[16] R.A. Jabr, Robust transmission network expansion planning with uncertain renewable generation and loads, IEEE Trans. Power Syst. 28 (2013), no. 4, 4558–4567.
[17] S. Kamalinia and M. Shahidehpour, Generation expansion planning in wind-thermal power systems, IET Gen. Transmis. Distrib. 4 (2010), no. 8, 940–951.
[18] A. Khodaei, M. Shahidehpour and S. Kamalinia, Transmission switching in expansion planning, IEEE Trans. Power Syst. 25 (2010), no. 3, 1722–1733.
[19] N.E. Koltsaklis and M.C. Georgiadis, A multi-period, multi-regional generation expansion planning model incorporating unit commitment constraints, Appl. Energy 158 (2015) 310–331.
[20] C. Li, Z. Dong, G. Chen, F. Luo and J. Liu, Flexible transmission expansion planning associated with large-scale wind farms integration considering demand response, IET Gen. Transmis. Distrib. 9 (2015), no. 15, 2276–2283.
[21] J. Lofberg, YALMIP: A toolbox for modeling and optimization in MATLAB, Proc. CACSD Conf., 2004.
[22] M. Lu, Z.Y. Dong and T.K. Saha, A framework for transmission planning in a competitive electricity market, IEEE/PES Transmis. Distrib. Conf. Expos. Asia Pacific, 2005, pp. 1–6.
[23] M. Mahdavi, C.S. Antunez, M. Ajalli and R. Romero, Transmission expansion planning: literature review and classification, IEEE Syst. J. 13 (2018), no. 3, 3129–3140.
[24] A.O. Melodi, J.A. Momoh and O.M. Adeyanju, Nigerian 330 kV 38-bus transmission network 10-year expansion planning under probabilistic load forecasts, Electric. Engin. 100 (2018), no. 4, 2717–2724.
[25] R. Minguez, R. Garcia-Bertrand, J.M. Arroyo and N. Alguacil, On the solution of large-scale robust transmission network expansion planning under uncertain demand and generation capacity, IEEE Trans. Power Syst. 33 (2017), no. 2, 1242–1251.
[26] S.Z. Moghaddam, Generation and transmission expansion planning with high penetration of wind farms considering spatial distribution of wind speed, Int. J. Electric. Power Energy Syst. 106 (2019), 232–241.
[27] A. Moradi, Y. Alinejad-Beromi and K. Kiani, Multi-objective transmission expansion planning with allocation of fixed series compensation under uncertainties, Int. Trans. Electric. Energy Syst. 27 (2017), no. 11.
[28] A. Moradi, Y. Alinejad-Beromi and K. Kiani, Application of grey wolf algorithm for multi-year transmission expansion planning from the viewpoint of private investor considering fixed series compensation and uncertainties, Int. Trans. Electric. Energy Syst. 29 (2019), no. 1.
[29] M. Ordouei and T. BaniRostam, Integrating data mining and knowledge management to improve customer relationship management in banking industry (Case study of Caspian Credit Institution), Int. J. Comput. Sci. 3
(2018), 208–214.
[30] M. Ordouei, A. Broumandnia, T. Banirostam and A. Gilani, Optimization of energy consumption in smart city using reinforcement learning algorithm, Int. J. Nonlinear Anal. Appl. In Press, (2022) 1–15.
[31] M. Ordouei and T. Banirostam, Diagnosis of liver fibrosis using RBF neural network and artificial bee colony algorithm, Int. J. Adv. Res. Comput. Commun. Engin. 11 (2022), no. 12, 45–50.
[32] M. Ordouei and M. Moeini, Identification of female infertility in people with thalassemia using neural network, Int. J. Mechatron. Electeric. Comput. Technol. 13 (2023), no. 48, 5371–5374.
[33] M. Ordouei, A. Broumandnia, T. Banirostam and A. Gilani, Optimization of energy consumption in smart city using reinforcement learning algorithm, Int. J. Nonlinear Anal. Appl. In Press, doi: 10.22075/IJNAA.2022.29258.4102
[34] G.A. Orfanos, P.S. Georgilakis and N.D. Hatziargyriou, Transmission expansion planning of systems with increasing wind power integration, IEEE Trans. Power Syst. 28 (2012), no. 2, 1355–1362.
[35] M. Pourakbari-Kasmaei and M. Rashidi-Nejad, An effortless hybrid method to solve economic load dispatch problem in power systems, Energy Convers. Manag. 52 (2011), no. 8-9, 2854–2860.
[36] M. Rahmani, G. Vinasco, M.J. Rider, R. Romero and P.M. Pardalos, Multistage transmission expansion planning considering fixed series compensation allocation, IEEE Trans. Power Syst. 28 (2013), no. 4, 3795–3805.
[37] M. Rahmani, R. Romero and M.J. Rider, Strategies to reduce the number of variables and the combinatorial search space of the multistage transmission expansion planning problem, IEEE Trans. Power Syst. 28 (2012), no. 3, 2164–2173.
[38] J.H. Roh, M. Shahidehpour and L. Wu, Market-based generation and transmission planning with uncertainties, IEEE Trans. Power Syst. 24 (2009), no. 3, 1587–1598.
[39] R. Romero, A. Monticelli, A. Garcia and S. Haffner, Test systems and mathematical models for transmission network expansion planning, IEE Proc. Gen. Transmis. Distrib. 149 (2002), no. 1, 27–36.
[40] P. Sanchez-Martin, A. Ramos and J.F. Alonso, Probabilistic midterm transmission planning in a liberalized market, IEEE Trans. Power Syst. 20 (2005), no. 4, 2135–2142.
[41] A. H. Seddighi and A. Ahmadi-Javid, Integrated multiperiod power generation and transmission expansion planning with sustainability aspects in a stochastic environment, Energy 86 (2015), 9–18.
[42] H. Shayeghi, S. Jalilzadeh, M. Mahdavi and H. Hadadian, Studying influence of two effective parameters on network losses in transmission expansion planning using DCGA, Energy Conver. Manag. 49 (2008), no. 11, 3017–3024.
[43] G.B. Shrestha and P.A.J. Fonseka, Congestion-driven transmission expansion in competitive power markets, IEEE Trans. Power Syst. 19 (2004), no. 3, 1658–1665.
[44] F. Ugranli and E. Karatepe, Transmission expansion planning for wind turbine integrated power systems considering contingency, IEEE Trans. Power Syst. 31 (2015), no. 2, 1476–1485.
[45] F. Ugranli, E. Karatepe and A.H. Nielsen, MILP approach for bilevel transmission and reactive power planning considering wind curtailment, IEEE Trans. Power Syst. 32 (2016), no. 1, 652–661.
[46] C. Zambrano, S. Arango-Aramburo and Y. Olaya, Dynamics of power-transmission capacity expansion under-regulated remuneration, Int. J. Electric. Power Energy Syst. 104 (2019), 924–932.
[47] M. Zeinaddini-Meymand, M. Pourakbari-Kasmaei, M. Rahmani, A. Abdollahi and M. Rashidinejad, Dynamic market-based generation-transmission expansion planning considering fixed series compensation allocation, Iran. J. Sci. Technol. Trans. Electric. Engin. 41 (2017), no. 4, 305–317.
Volume 14, Issue 12
December 2023
Pages 41-52
  • Receive Date: 01 February 2023
  • Revise Date: 14 April 2023
  • Accept Date: 21 May 2023