Multi-Objective Optimal Power Flow with Transient Stability Constraints

Abstract:

In this paper, the deficiency of the general transient stability constrained OPF model was analyzed,on the basis of which, a multi-objective transient stability constrained OPF model was proposed. The transient stability constraints was to be as a objective function instead of the general constraints,which and power generation cost function were taken weighted sum to be converted into a single-objective optimization model. Multiple optimal solutions under different weights were given based on the original dual interior point method,which can offer a variety of options for operating personnel according to actual needs. In terms of improving the efficiency of the algorithm,The two groups of differentiated rotor equations were eliminated to be one set of equations.And the transient differential equations were dispersed to inequality constraints instead of equality constraints.the dimensions of the correction equation and the scale of the problem solved were significantly reduced. Numerical simulations on the New England 10-generator 39-bus power system, demonstrated the effectiveness and feasibility of the proposed method.

• Periodical: Applied Mechanics and Materials (Volumes 556-562)
• Pages: 2067-2071
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.556-562.2067
• Online since: May 2014
• Authors: Jin Ling Lu*, Qiang Zhang
• Keywords: Multi-Objective Optimal Power Flow, Power System, Primal-Dual Interior Point Method, Time Domain Simulation, Transient Stability Constrained

References

[1] H. Wei, Y.D. Yang, X.C. Li. Optimal power flow with multi-contingencies transient stability constrained [J]. Proceedings of the CSEE, 2004, 10: 93-98.

[2] D. Gan R.J. Thomas R.D. Zimmerman. Stability-constrained Optimal Power Flow, IEEE Trans on PWRS, 2000, 15(2): 535-540.

DOI: 10.1109/59.867137

[3] Yue Yuan, J. Kubokawa, H. Sasaki. A Study of Optimal Power Flow with Multi-contingency Transient Stability Constraints, IEEE Trans On PWRS, 2003, 18(3): 1094-1102.

DOI: 10.1109/tpwrs.2003.814856

[4] M.B. Liu, Z. Yang. Optimal power flow calculation with transient energy margin constraints under multi-contingency conditions [J]. Proceedings of the CSEE, 2007, 34: 12-18.

[5] W.P. Li. Preventive control for dynamic security of power systems[D]. Washington: Washington State University, (1998).

[6] Ruiz Vega D, Pavella M. A comprehensive approach to transient stability control.I. Near optimal preventive control[J]. IEEE Trans on Power Systems, 2003, 18(4): 1446- 1453.

DOI: 10.1109/tpwrs.2003.818708

[7] X.Q. Xia, H. Wei, Y.D. Yang. An improved reduced-dimension interior point method for transient stability constrained optimal power flow [J]. Transactions of China Electrotechnical Society, 2012, 09: 87-92.

[8] Q.Y. Jing, Z.G. Huang, M.Z. Zhang. Order-reduced interior point algorithm for transient stability constrained optimal power flow [J]. Automation of Electric Power Systems, 2009, 24: 21-25.

[9] D. Wu,H.G.H. Xin, D.Q. Gan. Study on transient stability constrained optimal power flow[J]. Automation of Electric Power Systems, 2007, 05: 1-6.