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http://dx.doi.org/10.5370/JEET.2015.10.1.109

Performance Comparison of Optimal Power Flow Algorithms for LMP Calculations of the Full Scale Korean Power System  

Lee, Sungwoo (Dept. of Electrical Engineering, Pusan National University)
Kim, Wook (Dept. of Electrical Engineering, Pusan National University)
Kim, Balho H. (School of Electronic and Electrical Engineering, Hongik University)
Publication Information
Journal of Electrical Engineering and Technology / v.10, no.1, 2015 , pp. 109-117 More about this Journal
Abstract
This paper proposes the comparison results of various optimal power flow algorithms (OPF) to calculate the locational marginal prices (LMP) of the unreduced full scale Korean transmission system. Five different types of optimal power flow models are employed: Full AC OPF, Cubic AC OPF, Quadratic AC OPF, Linear AC OPF and DC OPF. As the results, full AC OPF and cubic AC OPF model provides LMP calculation results very similar to each other while the calculation time of cubic AC OPF model is faster than that of the Full AC OPF. Other simplified OPF models, quadratic AC OPF, linear AC OPF and DC OPF offer erroneous results even though the calculation times are much faster than the Full AC OPF and the Cubic AC OPF. Given the condition that the OPF models sometimes fail to find the optimal solution due to the severe complexity of the Korean transmission power system, the Full AC OPF should be used as the primary OPF model while the Cubic AC OPF can be a promising backup OPF model for the LMP calculations and/or real-time operation.
Keywords
Optimal power flow; Locational marginal price; Full AC OPF; Cubic AC OPF; Quadratic AC OPF; Linear AC OPF; DC OPF;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 A. Schecter and R.P. O’Neill, “Exploration of the ACOPF Feasible Region for the Standard IEEE Test Set: Optimal Power Flow Paper 6,” FERC Staff Technical Paper, 2013.
2 N. Andrei, Nonlinear Optimization Applications Using the GAMS Technology, Springer, 2013.
3 J. Frame, “Locational marginal pricing,” in Proceedings of IEEE Power Engineering Society Winter Meeting, Vol. 1, 2001.
4 R.E. Rosenthal, GAMS – A User’s Guide, GAMS Development Corporation, 2014.
5 J. Carpentier, “Contribution e letude do Dispatching Economique,” Bulleting de la Societe Francaise des Electriciens Ser 8, Vol. 3, pp. 431-447, 1962.
6 J. Zhu, Optimization of Power System Operation, Wiley, John Wiley & Sons, 2009.
7 M.B. Cain, R.P. O`Neill and A. Castillo, “History of Optimal Power Flow and Formulations: Optimal Power Flow Paper 1,” FERC Staff Technical Paper, 2012.
8 H. Zhang, V. Vittal, G.T. Heydt and J. Quintero, “A Relaxed AC Optimal Power Flow Model Based on a Taylor Series,” IEEE Innovated Smart Grid Technologies – Asia(ISGT Asia), pp. 1-5, Nov 2013.
9 R.P. O’Neill, A. Castillo and M.B. Cain, “The IV Formulation and Linear Approximations of the AC Optimal Power Flow Problem: Optimal Power Flow Paper 2,” FERC Staff Technical Paper, 2012.
10 “Country Comparison: Electricity: Installed Generating Capacity,” The World Factbook, Central Intelligence Agency, US, 2014 (available at https://www.cia.gov/library/publications/the-world-factbook/rankorder/2236rank.html).
11 D. Hur, J.-K. Park, B.H. Kim and K.-M. Son, “Security Constrained Optimal Power Flow for the Evaluation of Transmission Capability on Korea Electric Power System,” in Proceedings of IEEE Power Engineering Society Summer Meeting, Vol.2, pp. 1133-1138, 2001.
12 H. Kim and W. Kim, “Integrated Optimization of Combined Generation and Transmission Expansion Planning considering Bus Voltage Limits,” Journal of Electrical Engineering and Technologies, to be published.