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“Utilizing MATPOWER in Optimal Power Flow”

Authors: Tarjei Kristiansen,
Affiliation: NTNU
Reference: 2003, Vol 24, No 1, pp. 49-59.

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Keywords: MATPOWER, optimal power flow, nodal prices, power system economics

Abstract: This paper shows how MATPOWER, a MATLAB Power System Simulation Package can be used for optimal power flow (OPF) simulations. MATPOWER is a package of MATLAB files for solving power flow and optimal power flow problems. It is a simulation tool for researchers and educators which is easy to use and modify. An OPF simulation gives the active/reactive power generated and purchased at each bus and the nodal prices. The nodal prices are of special interest because they reflect the marginal generation and load at each bus (node). These prices are also called locational prices and are found to be the optimal prices, maximizing social welfare and taking transmission constraints into account. They can provide the right incentives to market players and to society. When transmission congestion is present this creates market inefficiency, since cheap distant generation may be replaced with more expensive local generation. We are especially interested in OPF as utilized by a centralized dispatcher, and we also describe the features relevant for the Norwegian and Nordic markets. We optimize three cases and analyze the economic consequences of different network topologies and transmission congestion.

PDF PDF (59 Kb)        DOI: 10.4173/mic.2003.1.5

DOI forward links to this article:
  [1] Artjoms Obushevs and Irina Oleinikova (2013), doi:10.1109/PowerEng.2013.6635827
  [2] T. Kristiansen and I. Wangensteen (2004), doi:10.1109/MELCON.2004.1348236
  [3] Ambika Ramamoorthy and Rajeswari Ramachandran (2014), doi:10.1109/POWERI.2014.7117680
  [4] V. V. Khatavkar, Heramb Mayadeo, Poonam Dhabai and A. A. Dharme (2016), doi:10.1109/ICACDOT.2016.7877576

[1] M. Bjørndal K. Jørnsten, (2001). Zonal Pricing in a Deregulated Electricity Market, The Energy Journal, Vol. 22, No. 1, 2001.
[2] R. D. Christie, B. Wollenberg I. Wangensteen, (2000). Transmission Management in the Deregulated Environment, IEEE Proceedings, February 2000.
[3] W. W. Hogan, (1992). Contract Networks for Electric Power Transmission, Journal of Regulatory Economics, 4:211-242, 1992 doi:10.1007/BF00133621
[4] F. C. Schweppe, M. C. Caramanis, R. D. Tabors R. E. Bohn, (1988). Spot Pricing of Elelectricity, Boston/Dordrecht/London: Kluwer Academic Publishers, 1988, .
[5] R. D. Zimmerman D. Gan, (1997). MATPOWER - A MATLAB Power System Simulation Package, User's Manual, School of Electrical Engineering, Cornell University, 1997, available: http://www, pserc.cornell.edu/matpower/manual.pdf.

  title={{Utilizing MATPOWER in Optimal Power Flow}},
  author={Kristiansen, Tarjei},
  journal={Modeling, Identification and Control},
  publisher={Norwegian Society of Automatic Control}


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