Multiple low voltage power flow solutions using hybrid PSO and optimal multiplier method

In this paper a method for computing multiple power flow solutions of power system is proposed. The proposed method determines the multiple solutions in pairs. Particle Swarm Optimization (PSO) technique is used to find the starting values of the rectangular Newton-Raphson power flow. From these starting values, the rectangular Newton-Raphson load flow determines a low voltage solution close to the first one. Optimal multipliers are then used to determine a second low voltage solution. Test results of standard IEEE 14 bus system have been shown.

[1]  H. Chiang,et al.  Nonlinear predictors and hybrid corrector for fast continuation power flow , 2008 .

[2]  Thomas J. Overbye,et al.  Effective calculation of power system low-voltage solutions , 1996 .

[3]  James S. Thorp,et al.  An efficient algorithm to locate all the load flow solutions , 1993 .

[4]  K.M. Nor,et al.  An Approach to Determine a Pair of Power-Flow Solutions Related to the Voltage Stability of Unbalanced Three-Phase Networks , 2008, IEEE Transactions on Power Systems.

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

[6]  N.G. Bretas,et al.  Power system low-voltage solutions using an auxiliary gradient system for voltage collapse purposes , 2005, IEEE Transactions on Power Systems.

[7]  L. Ni,et al.  Parallel processing for the load flow of power systems: the approach and applications , 1989, Proceedings of the 28th IEEE Conference on Decision and Control,.

[8]  Russell C. Eberhart,et al.  A new optimizer using particle swarm theory , 1995, MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science.

[9]  William F. Tinney,et al.  Power Flow Solution by Newton's Method , 1967 .

[10]  Y. Tamura,et al.  A Load Flow Calculation Method for Ill-Conditioned Power Systems , 1981, IEEE Transactions on Power Apparatus and Systems.

[11]  R. Eberhart,et al.  Comparing inertia weights and constriction factors in particle swarm optimization , 2000, Proceedings of the 2000 Congress on Evolutionary Computation. CEC00 (Cat. No.00TH8512).

[12]  O. Alsac,et al.  Fast Decoupled Load Flow , 1974 .

[13]  Carlos A. Castro Improved method for the calculation of power systems low voltage solutions , 2002 .

[14]  Parimal Acharjee,et al.  Expert algorithm based on adaptive particle swarm optimization for power flow analysis , 2009, Expert Syst. Appl..

[15]  K. Iba,et al.  A method for finding a pair of multiple load flow solutions in bulk power systems , 1989, Conference Papers Power Industry Computer Application Conference.

[16]  Wilsun Xu,et al.  The existence of multiple power flow solutions in unbalanced three-phase circuits , 2002 .

[17]  Y. Tamura,et al.  Relationship Between Voltage Instability and Multiple Load FLow Solutions in Electric Power Systems , 1983, IEEE Transactions on Power Apparatus and Systems.

[18]  A. Li,et al.  Development of constrained-genetic-algorithm load-flow method , 1997 .