Improved particle swarm optimization applied to reactive power reserve maximization

Abstract This paper presents a new approach for scheduling of reactive power control variables for voltage stability enhancement using particle swarm optimization (PSO). Cost function selected is maximization of reactive reserves of the system. To get desired stability margin a Schur’s inequality based proximity indicator has been selected whose threshold value along with reactive power reserve maximization assures desired static voltage stability margin. PSO has been selected because not only it gives global optimal solution but also its mechanization is very simple and computationally efficient. Reactive generation participation factors have been used to decide weights for reactive power reserve for each of generating bus. Developed algorithm has been implemented on 6-bus, 7-line and 25-bus 35-line standard test systems. Results have been compared with those obtained using Devidon–Fletcher–Powell’s (DFP) method.

[1]  M. A. Abido Optimal des'ign of Power System Stabilizers Using Particle Swarm Opt'imization , 2002, IEEE Power Engineering Review.

[2]  Yutian Liu,et al.  Multi-objective reactive power and voltage control based on fuzzy optimization strategy and fuzzy adaptive particle swarm , 2008 .

[3]  Cw W. Yu,et al.  An investigation of reactive power planning based on chance constrained programming , 2007 .

[4]  Mohamed A. El-Sharkawi,et al.  Dynamic security border identification using enhanced particle swarm optimization , 2002 .

[5]  F. W. Kellaway,et al.  Advanced Engineering Mathematics , 1969, The Mathematical Gazette.

[6]  Gareth A. Taylor,et al.  Multi-objective optimal reactive power flow including voltage security and demand profile classification , 2008 .

[7]  E. Vaahedi,et al.  Dynamic security constrained optimal power flow/VAr planning , 2001 .

[8]  A. F. Mistr,et al.  Reactive management a key to survival in the 1990s , 1995 .

[9]  Bala Venkatesh,et al.  A new computational method for reactive power market clearing , 2009 .

[10]  David J. Hill,et al.  Avoiding voltage collapse by fast active power rescheduling , 1997 .

[11]  Joong-Rin Shin,et al.  A particle swarm optimization for economic dispatch with nonsmooth cost functions , 2005, IEEE Transactions on Power Systems.

[12]  N.D. Hatziargyriou,et al.  Ant colony system-based algorithm for constrained load flow problem , 2005, IEEE Transactions on Power Systems.

[13]  K. S. Swarup,et al.  Differential evolutionary algorithm for optimal reactive power dispatch , 2008 .

[14]  D. P. Kothari,et al.  Alleviation of line overloads and voltage violations by corrective rescheduling , 1993 .

[15]  Yoshikazu Fukuyama,et al.  A particle swarm optimization for reactive power and voltage control considering voltage security assessment , 2000 .

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

[17]  Hao Wu,et al.  An OPF based approach for assessing the minimal reactive power support for generators in deregulated power systems , 2008 .

[18]  L.C.P. da Silva,et al.  Dynamic VAr sources scheduling for improving voltage stability margin , 2003 .

[19]  Y. Wallach,et al.  Calculations and Programs for Power System Networks , 1986 .

[20]  S. C. Choube,et al.  Emission constrained secure economic dispatch , 1997 .

[21]  J. W. Walker,et al.  Direct solutions of sparse network equations by optimally ordered triangular factorization , 1967 .

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

[23]  D. P. Kothari,et al.  Corrective rescheduling for static voltage stability control , 2005 .

[24]  Shang He,et al.  An improved particle swarm optimizer for mechanical design optimization problems , 2004 .

[25]  Goran Andersson,et al.  Voltage dependent reactive power limits for voltage stability studies , 1995 .

[26]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[27]  T.V. Cutsem,et al.  A method to compute reactive power margins with respect to v , 1991, IEEE Power Engineering Review.