An Efficient Unified Method to Compute Voltage Collapse Point

전압붕괴 임계점 계산을 위한 효율적 통합법

  • Published : 1999.08.01

Abstract

The saddle node bifurcation (SNB) and the distance voltage instability are valuable information in power system planning and operation. This paper presents a new efficient, robust and unified strategy to compute the SNB by the combined use of the continuation power flow (CPF), Point of Collapse (PoC) method, and the method of a pair of multiple load flow solutions (PMLFS) with Lagrange interpolation utilizing only their advantages: the approximate nose curves and critical loading are determined fast by Lagrange-interpolating two stable and two unstable solutions obtained by using the robust CPF and PMLFS; the exact SNB is computed by the quadratically converging PoC method. The proposed method has been tested on Klos-Kerner 11-bus, New England 30-bus, IEEE 118-bus and KEPCO 791-bus systems. The method is found to be so efficient that computation time for determining the SNB of the KEPCO 791-bus system is 17.82 sec by a notebook PC with 300 MHz Pentium processor.

Keywords

References

  1. Proc. of Bulk Power System Voltage Phenomena Studies under way in Japan fot improved analysis of voltage related system behaviors Y. Ichida
  2. IEEE Trans. on Power Systems v.7 no.1 The Continuation Power Flow: A Tool for Steady State Voltage Stability Analysis V. Ajjarapu;C. Christy
  3. Power System Stability and Control P. Kundur
  4. Trans. of Korean Institute of Electrical Engineers v.43 no.8 Calculation of a Pair of Multiple Load Flow Solutions and Voltage Collapse Point for On-line Assessment of Power System Voltage Stability H. K. Nam;D. J. Kim;C. J. Moon
  5. IEEE Trans. on Power Systems v.5 no.2 A Method for Finding a Pair of Multiple Load Flow Solutions in Bulk Power Systems K. Iba;H. Suzuki;M. Egawa;T. Watanabe
  6. Proc. of bulk Power System Voltage Phenomena Direct Detection of Voltage Collapse Conditions F. L. Alvalado;T. H. Jung
  7. Proc. Of Power Systems Computation Conference The Non-Uniqueness of Load Flow Solutions A. Klos;A. Kerner
  8. Proc. of FACTS Conference 2 Analytical Studies for Thyristor-Controlled Series Compensation in New York State, Part Ⅰ Steady State Analysis S. Zelingher;B. Shperling;J. D. Mounford;R. J. Koessler
  9. The Algebraic Eigenvalue Problem J. H. Wilkinson
  10. Proc. IEEE v.55 no.11 Direct Solution of Sparse Network Equations by Optimally Ordered Triangular Factrizations W. F. Tinney;J. W. Walker
  11. IEEE Trans. on Power Systems v.12 no.1 Look-ahead Voltage and Load Margin Contingency Selection Functions for Large Scale Power Systems H. D. Chiang;C. S. Wang;A. J. Flueck
  12. 대한전기학회논문지 v.48 no.1 P-e 곡선의 타원특성을 이용한 전력계통의 최대허용부하의 예측 문영현;최병곤;조병훈;이태식