Voltage stability analysis based on probabilistic power flow and maximum entropy

Methods of determination of voltage stability margin index had been well established. This study adopts a new method to determine the probabilistic distribution of margin index taking into account the random variations of bus loads. First, the probabilistic technique and the Jacobian method are combined to determine the probabilistic characteristics of stability margins and nodal voltages at the maximum load points. Then, according to these probabilistic characteristics, maximum entropy method is adopted to determine the probabilistic distribution of stability margin. Last, the proposed method is investigated on two test systems with random active and reactive loads. Monte Carlo simulations are used as a reference solution to evaluate the accuracy of the proposed method.

[1]  G. Irisarri,et al.  Maximum loadability of power systems using interior point nonlinear optimization method , 1997 .

[2]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[3]  J. Aguado,et al.  Cumulant-based stochastic nonlinear programming for variance constrained voltage stability analysis of power systems , 2006, IEEE Transactions on Power Systems.

[4]  M. Pai Energy function analysis for power system stability , 1989 .

[5]  K. M. Tsang,et al.  Improved probabilistic method for power system dynamic stability studies , 2000 .

[6]  K. Iba,et al.  Calculation of critical loading condition with nose curve using homotopy continuation method , 1991 .

[7]  K. M. Tsang,et al.  Robust PSS design by probabilistic eigenvalue sensitivity analysis , 2001 .

[8]  N. D. Hatziargyriou,et al.  Probabilistic load flow for assessment of voltage instability , 1998 .

[9]  S.T. Lee,et al.  Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion , 2004, IEEE Transactions on Power Systems.

[10]  H. Chiang,et al.  A more efficient formulation for computation of the maximum loading points in electric power systems , 1995 .

[11]  Claudio A. Canizares,et al.  Point of collapse and continuation methods for large AC/DC systems , 1993 .

[12]  Y. Kataoka,et al.  A probabilistic nodal loading model and worst case solutions for electric power system voltage stability assessment , 2003 .

[13]  P. Kundur,et al.  Power system stability and control , 1994 .

[14]  Venkataramana Ajjarapu,et al.  The continuation power flow: a tool for steady state voltage stability analysis , 1991 .

[15]  Danny Sutanto,et al.  Application of an optimisation method for determining the reactive margin from voltage collapse in reactive power planning , 1996 .

[16]  Roy Billinton,et al.  Probabilistic transient stability studies using the method of bisection [power systems] , 1996 .

[17]  C. W. Taylor Power System Voltage Stability , 1993 .