Optimal Allocation and Sizing of Dynamic Var Sources Using Heuristic Optimization

This paper addresses the problem of joint optimal allocation and sizing of dynamic Var sources (ODynVarS) for short-term dynamic performance enhancement of power systems. A heuristic optimization based approach is proposed with the aim of achieving a desirable performance under multiple contingencies with respect to a reference short-term voltage response. Based on a pre-selected set of credible contingencies and potential candidate locations for device additions, the approach employs the mean-variance mapping optimization (MVMO) in combination with an integrated mixed-integer search strategy (IMIS) and two intervention schemes, to accelerate and guide the search process towards a techno-economically optimum solution. The first intervention is performed at fitness evaluation stage to screen economic solutions which entail technical feasibility and to reduce computational effort. IMIS and the second intervention is concerned with MVMO's knowledge management, which facilitates the search for solutions comprising a small number of devices with relatively large VAr capacity. The approach is tested using the IEEE 39-bus New England system.

[1]  Ian A. Hiskens,et al.  Trajectory Sensitivity Analysis of Hybrid Systems , 2000 .

[2]  C.W. Taylor,et al.  A survey of current practices for transient voltage dip/sag criteria related to power system stability , 2004, IEEE PES Power Systems Conference and Exposition, 2004..

[3]  István Erlich,et al.  Solving the IEEE-CEC 2014 expensive optimization test problems by using single-particle MVMO , 2014, 2014 IEEE Congress on Evolutionary Computation (CEC).

[4]  V. Brandwajn,et al.  Severity indices for contingency screening in dynamic security assessment , 1997 .

[5]  Venkataramana Ajjarapu,et al.  Optimal Allocation of Dynamic VAR Support Using Mixed Integer Dynamic Optimization , 2011, IEEE Transactions on Power Systems.

[6]  V. Vittal,et al.  Dynamic VAr Planning in a Large Power System Using Trajectory Sensitivities , 2010, IEEE Transactions on Power Systems.

[7]  Shanshan Liu,et al.  Dynamic optimization based reactive power planning to mitigate slow voltage recovery and short term voltage instability , 2014 .

[8]  Siddhartha Kumar Khaitan,et al.  High performance computing in power and energy systems , 2013 .

[9]  C. W. Taylor,et al.  Standard load models for power flow and dynamic performance simulation , 1995 .

[10]  R.G. Harley,et al.  Multiple STATCOM Allocation and Sizing Using Particle Swarm Optimization , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[11]  Siddhartha Kumar Khaitan,et al.  High Performance Computing for Power System Dynamic Simulation , 2013 .

[12]  Laszlo Gyugyi,et al.  Dynamic compensation of AC transmission lines by solid-state synchronous voltage sources , 1994 .

[13]  I. Erlich,et al.  Response of DFG-based wind farms operating on weak grids to voltage sags , 2011, 2011 IEEE Power and Energy Society General Meeting.

[14]  K. R. Padiyar,et al.  ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILITY , 1990 .

[15]  Mohamed A. El-Sharkawi,et al.  Modern Heuristic Optimization Techniques , 2008 .

[16]  A. M. Geoffrion.  Generalized Benders decomposition , 1972 .

[17]  V. Ajjarapu,et al.  Contingency assessment for voltage dip and short term voltage stability analysis , 2007, 2007 iREP Symposium - Bulk Power System Dynamics and Control - VII. Revitalizing Operational Reliability.

[18]  J. Ramos,et al.  State-of-the-art, challenges, and future trends in security constrained optimal power flow , 2011 .

[19]  B. Gao,et al.  Voltage Stability Evaluation Using Modal Analysis , 1992, IEEE Power Engineering Review.

[20]  Mohamed A. El-Sharkawi,et al.  Modern heuristic optimization techniques :: theory and applications to power systems , 2008 .

[21]  J. F. Benders.  Partitioning procedures for solving mixed-variables programming problems , 1962 .

[22]  István Erlich,et al.  Hybrid Mean-Variance Mapping Optimization for solving the IEEE-CEC 2013 competition problems , 2013, 2013 IEEE Congress on Evolutionary Computation.

[23]  C.W. Taylor,et al.  Understanding and solving short-term voltage stability problems , 2002, IEEE Power Engineering Society Summer Meeting,.

[24]  István Erlich,et al.  A Mean-Variance Optimization algorithm , 2010, IEEE Congress on Evolutionary Computation.