Author, Subjects, Keywords

Cited Author

 
 
   » By Author or Editor
 » Browse Author by Alphabet
 » By Journal
 » By Subjects
 » Malaysian Journals
 » By Type
 » By Year
 » By Latest Additions
 
 
   » By Author
 » Top 20 Authors
 » Top 20 Article
 » Top Journal Cited
 » Top Article Cited
 » Journal Citation Statistics
 » Usage Since Sept 2007


 
 
 

Login | Create Account

An Extended Conic Quadratic Program for Load Flow Control

Jabr, Rabih A., (2008) An Extended Conic Quadratic Program for Load Flow Control. Elektrika Journal of Electrical Engineering, 10 (2). pp. 1-8. ISSN 01284428

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
266Kb

Official URL: http://www.fke.utm.my/elektrika/dec08/paper1dec08.pdf

Affiliations

Notre Dame University, Lebenon. Electrical, Computer and Communication Engineering Department

Abstract

Power flow solutions form the basis for computer-based steady-state network operation and planning. In modern power networks, accurate power flow computations need to account for models of controllable devices such as tap-changing transformers, phase shifters, and unified power flow controllers. This paper presents a new load flow control optimisation framework based on an extension of the conic quadratic programming format. Its objective is to minimise the L1-norm of deviations from prescribed control target values and thus produces feasible solutions even for non-attainable targets. In the proposed framework, the classical non-linear power flow equations are transformed into linear constraints. The nonlinearity which is inherent in the power flow model is transformed into a set of conic quadratic and arctangent functional equalities. This results in a load flow control model that is amenable to straightforward integration in efficient primal-dual interior-point methodologies. Moreover, the linearity of the power flow equations allows the use of scaling techniques for improving the numerical conditioning of the problem. The performance of the proposed method is validated by comparing with previously published Newton-Raphson based power flow results. Computations on a 2383-bus test system are also reported.

Item Type:Journal
Keywords:Controllable Devices, Load Flow Control, Nonlinear Programming, Optimisation Methods
Subjects:T Technology, Engineering
ID Code:5097

[1] E. Acha, C.R. Fuerte-Esquivel, H. Ambriz-Pérez and C. Angeles-Camacho, FACTS: Modelling and Simulation in Power Networks. Chichester: John Wiley & Sons, 2004.

[2] X.-P. Zhang, C. Rehtanz and` B. Pal, Flexible AC Transmission Systems: Modelling and Control. Berlin: Springer, 2006.

[3] C.R. Fuerte-Esquivel, E. Acha and H. Ambriz-Pérez, "A comprehensive Newton-Raphson UPFC model for the quadratic power flow solution of practical power networks," IEEE Transactions on Power Systems, vol. 15, no. 1, pp. 102-109, 2000.

[4] C.R. Fuerte-Esquivel and E. Acha, "Unified power flow controller: a critical comparison of Newton- Raphson UPFC algorithms in power flow studies," IEE Proceedings – Generation, Transmission, and Distribution, vol. 144, no. 5, pp. 437-444, 1997.

[5] G. Radman and R.S. Raje, "Power flow model/calculation for power systems with multiple FACTS controllers," Electric Power Systems Research, vol. 77, no. 12, pp. 1521-1531, 2007.

[6] A. Nabavi-Niaki and M.R. Iravani, "Steady-state and dynamic models of unified power flow controller (UPFC) for power system studies," IEEE Transactions on Power Systems, vol. 11, no. 4, pp. 1937-1943, 1996.

[7] M.H. Haque and C.M. Yam, "A simple method of solving the controlled load flow problem of a power system in the presence of UPFC," Electric Power Systems Research, vol. 65, no. 1, pp. 55-62, 2003.

[8] E. Handschin and C. Lehmköster, "Optimal power flow for deregulated systems with FACTS devices," Proc. of the 13th Power Systems Computation Conference, Trondheim, 1999, pp. 1270-1276.

[9] C. Lehmköster, "Security constrained optimal power flow for an economical operation of FACTS-devices in liberalized energy markets," IEEE Transactions on Power Delivery, vol. 17, no. 2, pp. 603-608, 2002.

[10] Y. Xiao, Y.H. Song and Y.Z. Sun, "Power flow control approach to power systems with embedded FACTS devices," IEEE Transactions on Power Systems, vol. 17, no. 4, pp. 943-950, 2002.

[11] A.G. Expósito and E.R. Ramos, "Reliable load flow technique for radial distribution networks," IEEE Transactions on Power Systems, vol. 14, no. 3, pp. 1063-1069, 1999.

[12] R.A. Jabr, "Radial distribution load flow using conic programming," IEEE Transactions on Power Systems, vol. 21, no.3, pp. 1458-1459, 2006.

[13] R.A. Jabr, "A conic quadratic format for the load flow equations of meshed networks," IEEE Transactions on Power Systems, vol. 22, no. 4, pp. 2285-2286, 2007.

[14] E.D. Andersen, C. Roos and T. Terlaky, "On implementing a primal-dual interior-point method for conic quadratic optimization," Optimization Online, 2000. Available: http://www.optimizationonline.org/DB_FILE/2000/12/245.pdf

[15] R.A. Jabr, "Optimal power flow using an extended conic quadratic formulation," IEEE Transactions on Power Systems, vol. 23, no. 3, pp. 1000-1008, 2008.

[16] L.B. Tosovic, "Some experiments on sparse sets of linear equations," SIAM Journal on Applied Mathematics, vol. 25, no. 2, pp. 142-148, 1973.

[17] J.J. Grainger and W.D. Stevenson Jr, Power System Analysis. Singapore: McGraw-Hill Book Co., 1994.

[18] H. Saadat, Power System Analysis. Singapore: McGraw-Hill Book Co., 1999.

[19] L. Gyugyi, "Unified power-flow control concept for flexible AC transmission systems," IEE Proceedings – Generation, Transmission, and Distribution, vol. 139, no. 4, pp. 323-331, 1992.

[20] L. Gyugyi, C.D. Schauder, S.L. Williams, T.R. Rietman, D.R. Torgerson and A. Edris, "The unified power flow controller: a new approach to power transmission control," IEEE Transactions on Power Delivery, vol. 10, no. 2, pp. 1085-1097, 1995.

[21] X.-P. Zhang and E.J. Handschin, "Advanced implementation of UPFC in a nonlinear interior-point OPF," IEE Proceedings – Generation, Transmission, and Distribution, vol. 148, no. 5 , pp. 489-496, 2001.

[22] R.A. Jabr and B.C. Pal, "AC network state estimation using linear measurement functions," IET Generation, Transmission, and Distribution, vol. 2, no. 1, pp. 1-6, 2008.

[23] R.A. Jabr, "Primal-dual interior-point approach to compute the L1 solution of the state estimation problem," IEE Proceedings – Generation, Transmission, and Distribution, vol. 152, no. 3, pp. 313-320, 2005.

[24] The University of Washington Power Systems Test Case Archive. Available: http://www.ee.washington.edu/research/pstca/

[25] R.D. Zimmerman & C.E. Murillo-Sánchez, MATPOWER 3.2, PSERC (2007). Available: http://www.pserc.cornell.edu/matpower/

Repository Staff Only: item control page
 
 
 
 
 
 
© Copyright 2007 MyAIS Faculty of Computer Science and Information Technology, University of Malaya – All Rights Reserved. Malaysian Abstracting and Indexing System is powered by EPrints 3 which is developed by the School of Electronics and Computer Science at the University of Southampton. More information and software credits.