KIEE International Transactions on Power Engineering

The Korean Institute of Electrical Engineers (대한전기학회)
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A Framework for Determining Minimum Load Shedding for Restoring Solvability Using Outage Parameterization

  • Hwachang Song (Advanced Power System Technology Center, Korea Univrsity) ;
  • Lee, Byongjun (Dept. of Electrical Engineering, Korea University)
  • Published : 2004.06.01
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Abstract

This paper proposes a framework for determining the minimum load shedding for restoring solvability. The framework includes a continuation power flow (CPF) and an optimal power flow (OPF). The CPF parameterizes a specified outage from a set of multiple contingencies causing unsolvable cases, and it traces the path of solutions with respect to the parameter variation. At the nose point of the path, sensitivity analysis is performed in order to achieve the most effective control location for load shedding. Using the control location information, the OPF for locating the minimum load shedding is executed in order to restore power flow solvability. It is highlighted that the framework systematically determines control locations and the proper amount of load shedding. In a numerical simulation, an illustrative example of the proposed framework is shown by applying it to the New England 39 bus system.

Keywords

References

  1. C. W. Taylor, Power System Voltage Stability, McGraw-Hill, 1994
  2. P. Kundur, Power System Stability and Control, McGraw-Hill, 1994
  3. T. Van Cutsem and C. Vournas, Voltage Stability of Electric Power Systems, Kluwer Academic Publishers, 1998
  4. Q. Wang and V. Ajjarapu, 'A Critical Review on Preventive and Corrective Control against Voltage Collapse, Electric Power Components and Systems, Vol. 29, No. 12, Dec. 2001, pp. 1133-1144
  5. A. J. Flueck and 1. R. Dondeti, 'A new continuation power flow tool for investigating the nonlinear effects of transmission parameter variation,' IEEE Trans. on Power Systems, vol. 15, no. 1, Feb. 2000, pp. 223227
  6. B. Lee, H. Song, S.-H. Kwon, G. Jang and V. Ajjarapu, 'A study on determination of interface flow limits in the KEPCO system using the modified continuation power flow,' IEEE Trans.on Power Systems, vol. 17, no. 3, Aug. 2002
  7. V. Ajjarapu, C. Christy, 'The continuation power flow: a tool for steady state voltage stability analysis,' IEEE Trans.on Power Systems, vol. 7, no. 1, Feb. 1992, pp. 416-423
  8. B. Lee and V. Ajjarapu, 'Invariant subspace parametric sensitivity (ISPS) of structure preserving power system models,' IEEE Trans. on Power Systems, vol. 11, no. 2, May 1996, pp. 845-850
  9. Z. Feng, V. Ajjarapu and D. J. Maratukulam, 'A comprehensive approach for preventive and corrective control to mitigate voltage collapse,' IEEE Trans. Power Systems, vol. 15, no. 2, May 2000, pp. 791-797
  10. S. Granville, 'Optimal reactive dispatch through interior point method,' IEEE Trans. Power Systems, vol. 9, no. 1, Feb. 1994, pp. 136-146
  11. Y.-C. Wu. A. S. Debs and R. E. Marsten, 'A direct nonlinear predictor-corrector primal-dual interior point algorithm for optimal power flows,' IEEE Trans. Power Systems, vol. 9, no. 2, May 1994, pp. 876-883
  12. H. Wei, H. Sasaki, 1. Kubokawa and R. Yokoyama, 'An interior point nonlinear programming for optimal power flow problems with a novel data structure,' IEEE Trans. Power Systems, vol. 13, no. 3, Aug. 1998, pp. 870-877