Linear Programming Based Optimal Power Flow Optimization of DCOPF for an IEEE 5 and IEEE 14 Bus System

International Journal of Electrical and Electronics Engineering
© 2022 by SSRG - IJEEE Journal
Volume 9 Issue 11
Year of Publication : 2022
Authors : M. Kamalakkannun, N. D. Sridhar
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M. Kamalakkannun, N. D. Sridhar, "Linear Programming Based Optimal Power Flow Optimization of DCOPF for an IEEE 5 and IEEE 14 Bus System," SSRG International Journal of Electrical and Electronics Engineering, vol. 9,  no. 11, pp. 95-102, 2022. Crossref, https://doi.org/10.14445/23488379/IJEEE-V9I11P109

Abstract:

In times of increasing industrialization and domestic utility requiring electricity, deregulated power or electricity concepts have been gaining widespread significance in recent times. Deregulated power signifies and reflects power transmission sectors/companies defining their own set of rules and regulations in an attempt to get relieved from a centralized control pattern, consequently leading to the improvisation of efficiency. However, deregulated power system experiences power instability issues at times of varying demands at the load side, which may be attributed to several reasons. Under such circumstances, power congestion along the transmission lines is observed, which is quite challenging. These further causes stress on the management of the deregulated power system concerning power distribution in the current competitive environment amongst various other transmission stakeholders. It has been taken as the problem formulation in this paper, and a Local Marginal Pricing (LMP) mechanism using a Linear Programming (LP) methodology has been proposed in this work. DC optimal power flow (DCOPF) concept has been taken as the base platform for the proposed LMP formulation. LMP is effectively used for assessing the pricing scheme of the different buses, while DCOPF aids in reducing the congestion effect due to varying peak loads. IEEE 5 and 14 bus system has been used in the proposed power flow analysis and pricing scheme. Superior performance is observed in the experimentation, justifying the validity of LP.

Keywords:

Deregulated power system, Pricing schemes, DCOPF, Marginal Pricing, Linear programming.

References:

[1] Finney J. D, Othman H. A, and Rutz W. L, “Evaluating Transmission Congestion Constraints in System Planning,” IEEE Transactions on Power Systems, vol. 12, no. 3, pp. 1143 – 1150, 1997. Crossref, http://doi.org/10.1109/59.630454
[2] Guguloth R, and Sunil Kumar T, “KLMP Calculation and OPF Based Congestion Management in Deregulated Power System,” 2016 Elektro, Strbske Pleso, Slovakia, pp. 299–304, 2016. Crossref, http://doi.org/10.1109/ELEKTRO.2016.7512085
[3] Thomas J. Overbye, Xu Cheng, and Yan Sun, “A Comparison of the AC and DC Power Flow Models for LMP Calculations,” 37th Annual Hawaii International Conference on System Sciences, pp. 9, 2044. Crossref, http://doi.org/10.1109/HICSS.2004.1265164
[4] Mokhtari G, Behnood A, Ebrahimi J, and Gharehpetian G. B, “LMP Calculation Considering Network Topology Uncertainty,” Proceedings of the 4th International Power Engineering and Optimization Conference, Shah Alam, Selangor, Malaysia, pp. 292–297, 2010. Crossref, http://doi.org/10.1109/PEOCO.2010.5559250
[5] Li F, and Bo R, “DCOPF Based LMP Simulation: Algorithm, Comparison with ACOPF and Sensitivity,” IEEE Transactions on Power Systems, vol. 22, pp. 1475 – 1485, 2007. Crossref, http://doi.org/10.1109/TPWRS.2007.907924
[6] Vijaya Bhaskar K, Ramesh S, Chandrasekar P, "Evolutionary Based Optimal Power Flow Solution For Load Congestion Using PRNG," International Journal of Engineering Trends and Technology, vol. 69, no. 8, pp. 225-236, 2021. Crossref, https://doi.org/10.14445/22315381/IJETT-V69I8P228 M. Kamalakkannun & N. D. Sridhar/ IJEEE, 9(11), 95-102, 2022 100
[7] Yuan H, Li F, Wei Y, and Zhu J, “Novel Linearized Power Flow and Linearized OPF Models for Active Distribution Networks with Application in Distribution LMP,” IEEE Transactions on Smart Gird, vol. 9, no. 1, pp. 438 – 448, 2018. Crossref, https://doi.org/10.1109/TSG.2016.2594814
[8] Bai L, Wang J, Wang C, Chen C, and Li F, “Distribution Locational Marginal Pricing for Congestion Management and Voltage Support,” IEEE Transactions on Power Systems, vol. 33, no. 4, pp. 4061 – 4073, 2018. Crossref, https://doi.org/10.1109/TPWRS.2017.2767632
[9] Yang Z, Bose A, Zhong H, Zhang N, Lin J, Xia Q, and Kang C, “LMP Revisited: A Linear Model for the Loss Embedded LMP,” IEEE Transactions on Power Systems, vol. 32, no. 5, pp. 4080 – 4090, 2017. Crossref, https://doi.org/10.1109/TPWRS.2017.2648816
[10] Murali M, Kumari M. S, and Sydulu M, “LMP-Based Electricity Market Simulation Using Genetic Algorithm,” 7 th IEEE Conference on Industrial Electronics and Applications, Singapore, pp. 1285 – 1290, 2012. Crossref, https://doi.org/1109/ICIEA.2012.6360920
[11] Sarkar V, and Khaparde S. A, “Optimal LMP Decomposition for the ACOPF Calculation,” IEEE Transactions on Power Systems, vol. 26, no. 3, pp. 1714 – 1723, 2011. Crossref, https://doi.org/10.1109/TPWRS.2011.2104371
[12] Bo R, and Li F, “Marginal Unit Generation Sensitivity and its Applications in Transmission Congestion Prediction and LMP Calculation,” 2011 IEEE/PES Power Systems Conference and Exposition, pp. 1–9, 2011. Crossref, https://doi.org/10.1109/PSCE.2011.5772610
[13] Wu T, Alaywan Z, and Paplexopoulos A. D, “Location Marginal Price Calculations Using the Distributed Slack Power Flow Formulation,” IEEE Transactions on Power System, vol. 20, no. 2, pp. 1188 – 1190, 2005. Crossref, https://doi.org/10.1109/TPWRS.2005.846156
[14] Hong M, “An Approximate Method for Loss Sensitivity Calculation in Unbalanced Distribution Systems,” IEEE Transactions on Power Systems, vol. 29, no. 3, pp. 1435 – 1436, 2014. Crossref, https://doi.org/10.1109/TPWRS.2013.2288022
[15] Hu B, Niu T, Li F, Xie K, Li W, and Jin H, “Dynamic Var Reserve Assessment in Multi-Infeed LCC-HVDC Networks,” IEEE Transactions on Power Systems, vol. 36, no. 1, pp. 68-80, 2021. Crossref, https://doi.org/10.1109/TPWRS.2020.3008491
[16] Yao Y, Gao C, Lai K, Chen T, and Yang J, “An Incentive-Compatible Distributed Integrated Energy Market Mechanism Design with Adaptive Robust Approach,” Applied Energy, vol. 282, 2021. Crossref, https://doi.org/10.1016/j.apenergy.2020.116155
[17] Rao M. M, and Ramadas G, “Multiobjective Improved Particle Swarm Optimisation for Transmission Congestion and Voltage Profile Management using Multilevel UPFC,” Power Electronics and Drives, vol. 4, no. 1, 2019. Crossref, https://doi.org/10.2478/pead-2019- 0005
[18] Verma D, Agarwal P. K, and Jain P, “Congestion Management in Transmission System using PST,” In 2021 IEEE PES/IAS PowerAfrica, pp. 1-5, 2021. Crossref, https://doi.org/10.1109/PowerAfrica52236.2021.9543458
[19] Sonam Kharade, Sushama Wagh, and Navdeep Singh, "Unified Holomorphic Embedding Power Flow for Hybrid AC-DC Systems," International Journal of Engineering Trends and Technology, vol. 69, no. 7, pp. 114-120, 2021. Crossref, https://doi.org/10.14445/22315381/IJETT-V69I7P217
[20] Eladl A, Elmitwally A, Eskander S. S, and Mansy I. I, “Optimal Allocation of Facts Devices in Restructured Power Systems Integrated Wind Generation,” MEJ. Mansoura Engineering Journal, vol. 40, no. 1, pp. 26-41, 2020. Crossref, https://doi.org/10.21608/bfemu.2020.100769
[21] Narain A, Srivastava S. K, and Singh S. N, “Congestion Management Approaches in Restructured Power System: Key Issues and Challenges,” The Electricity Journal, vol. 33, no. 3, 2020. Crossref, https://doi.org/10.1016/j.tej.2020.106715
[22] Namilakonda S, and Guduri Y, “Chaotic Darwinian Particle Swarm Optimization for Real-Time Hierarchical Congestion Management of Power System Integrated with Renewable Energy Sources,” International Journal of Electrical Power & Energy Systems, 128, 2021. Crossref, https://doi.org/10.1016/j.ijepes.2020.106632
[23] Jin J, and Xu Y, “Economic Dispatch and Price Discovery for Power Networks with Adjustable Line Reactance,” In 2018 IEEE 14th International Conference on Control and Automation (ICCA), pp. 914-920, 2018. Crossref, https://doi.org/10.1109/ICCA.2018.8444263
[24] Gumpu S, Pamulaparthy B, and Sharma A, “Review of Congestion Management Methods from Conventional to Smart Grid Scenario,” International Journal of Emerging Electric Power Systems, vol. 20, no. 3, 2019. Crossref, https://doi.org/10.1515/ijeeps-2018-0265
[25] Singh A, and Bohre A. K, “Congestion Management Using FACTS Devices: A Review with Case Study,” Recent Advances in Power Systems, vol. 812, 149-168, 2022. Crossref, https://doi.org/10.1007/978-981-16-6970-5_13
[26] Ramachandran P, and Senthil R, “Locational Marginal Pricing Approach to Minimize Congestion in Restructured Power Market,” Journal of Electrical and Electronics Engineering Research, vol. 2, no. 6, pp. 143–153, 2010.
[27] Ansaripour R, Barati H, and Ghasemi A, “Multi-Objective Chance-Constrained Transmission Congestion Management Through Optimal Allocation of Energy Storage Systems and TCSC Devices,” Electrical Engineering, pp. 1-21, 2022. Crossref, https://doi.org/10.1007/s00202-022-01599-0