Newton-Based Optimal Power Flow Algorithm Incorporating SVC And TCSC
Keywords:
FACTS, TCSC, SVC, OPF, ewton’s method of power flow solutionAbstract
This paper presents the results of study of the power system optimal power flow (OPF) incorporating Static Var Compensator (SVC) and Thyristor Controlled Series Compensator (TCSC). The steady state models of Static Var Compensator (SVC) and Thyristor-Controlled Series Compensator (TCSC) were incorporated into the non-linear equations of the power system networks. The objective function which is the fuel cost was then optimized subject to the equality constraints of the real and reactive power balance and the inequality constraints of the bus voltages. A Newton based optimal power flow algorithm was developed and this was applied to the 5-bus and 26-bus systems. Results of the optimal power flow solution with and without these Flexible Alternating Current Transmission System (FACTS) devices were presented to show the effectiveness of these devices on the power networks performance. The results show that the incorporation of these FACTS devices into the power system network can strengthen the network and increases its transmission capability.
References
Ambriz-Pe´rez, H. “Flexible AC Transmission Systems Modelling in Optimal Power Flows Using Newton’s Method”. Unpublished PhD Thesis, University of Glasgow, Glasgow. 1998.
Ambriz-Pe´rez, H., Acha, E. and Fuerte-Esquivel, C. R. “TCSC-firing angle model for optimal power flow solutions using Newton’s method”. Electrical Power and Energy Systems. 28: 77–85, 2006.
Ambriz-Pe´rez, H, Acha, E. and Fuerte-Esquivel, C. R. “Advanced SVC Models for Newton–Raphson Load Flow and Newton Optimal Power Flow Studies”. IEEE Trans. Power Systems. 15(1): 129–136, 2000.
Bertsekas, D. P., “Constrained Optimization and Lagrange Multiplier Methods” Academic Press., 1982.
Dommel, H. W. and Tinney, W. F. “Optimal Power Flow Solutions”. IEEE Trans. Power Apparatus and Systems. 87(10): 1866–1876, 1968.
Gherbi, F. Z, Lakdja, F, Adjoudj M. and Tilmatine, A. “An approach of optimization of transmission over power links using the Thyristor-Controlled Series Compensator”. Acta Electrotehnica. 50(1): 9-17, 2009.
Hingorani, N. G. and Gyugyi, L. “Understanding FACTS: Concepts and Technology of Flexible AC Transmission Systems” Institute of Electrical and Electronic Engineers., 2000.
Kazemi, A. and Badrzadeh, B. “Modeling and simulation of SVC and TCSC to study their limits on maximum loadability point”. Electrical Power and Energy Systems. 26: 381–388, 2004.
Luenberger, D. G., “Introduction to Linear and Nonlinear Programming” Addison-Wesley., 1984.
Paserba, J. J. “How FACTS Controllers Benefit AC Transmission System”. IEEE Power Engineering Society meeting. 2: 1257 – 1262, 2004.
Saadat, H., “Power System Analysis” Tata McGraw-Hill., 2002.
Shaoyun, G. and Chung, T. S. “Optimal active power flow incorporating FACTS devices with power flow constraints”. Electrical Energy System. 20(5): 321-326, 1998.
Sun, D. I. Ashley, B, Brewer, B, Hughes, A. & Tinney, W. F. “Optimal Power Flow by Newton Approach”. IEEE Transactions on Power Apparatus and Systems. 103: 2864-2880, 1984.
Weber, J. D. “Implementation of a Newton-Based Optimal Power Flow into a Power system simulation environment”. Unpublished M.Sc. Thesis, University of Illinois, Urbana-Champaign. 1997
