Load Sensitivity Studies in Power Systems With Non-Smooth Load Behavior

One of the most important aspects of time-domain simulations for power system planning studies is load modeling. For a realistic representation of the load, the Western Electricity Coordinating Council (WECC) model validation and working group developed the composite load model. The composite load model represents the aggregation of different types of loads at the substation level. However, there exists some uncertainty in determining the load parameters and the percentage composition of the different components. Trajectory sensitivity (TS) analysis provides a systematic approach to study the impact of parameter uncertainty on power system response to disturbances. The non-smooth nature of the composite load model may present some additional challenges to sensitivity analysis in a realistic power system. This paper presents an application of TS analysis to study the impact of load parameter uncertainty on the system response. The impact of the non-smooth nature of load models on the sensitivity analysis is also addressed. This paper further suggests a method to determine the perturbation size limit for which accurate linear approximations can be made. The study was performed using the WECC system model.

[1]  I. Hiskens.  Nonlinear dynamic model evaluation from disturbance measurements , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[2]  I.A. Hiskens,et al.  Sensitivity, Approximation, and Uncertainty in Power System Dynamic Simulation , 2006, IEEE Transactions on Power Systems.

[3]  D. Kosterev,et al.  Load Modeling in WECC , 2006, 2006 IEEE PES Power Systems Conference and Exposition.

[4]  P. Pourbeik.  Approaches to validation of power system models for system planning studies , 2010, IEEE PES General Meeting.

[5]  S. M. Shinners.  Sensitivity analysis of dynamic systems , 1965 .

[6]  Steven Robles,et al.  FIDVR in distribution circuits , 2013, 2013 IEEE Power & Energy Society General Meeting.

[7]  C. W. Taylor,et al.  Model validation for the August 10, 1996 WSCC system outage , 1999 .

[8]  D. Kosterev,et al.  Load modeling in power system studies: WECC progress update , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[9]  M. Pai,et al.  A new approach to dynamic security assessment using trajectory sensitivities , 1997, Proceedings of the 20th International Conference on Power Industry Computer Applications.

[10]  Ian A. Hiskens.  Iterative computation of marginally stable trajectories , 2004 .

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

[12]  F. Milano,et al.  An open source power system analysis toolbox , 2005, 2006 IEEE Power Engineering Society General Meeting.

[13]  Koji Yamashita,et al.  CIGRE WG C4.065 Recommendations on Measurement Based and Component Based Load Modelling Practice , 2012 .

[14]  Ian A. Hiskens.  Systematic tuning of nonlinear power system controllers , 2002, Proceedings of the International Conference on Control Applications.

[15]  Vijay Vittal,et al.  Cluster Computing-Based Trajectory Sensitivity Analysis Application to the WECC System , 2012, IEEE Transactions on Power Systems.

[16]  Donald E. Kirk,et al.  Optimal Control Theory , 1970 .

[17]  D. Kosterev,et al.  An Interim Dynamic Induction Motor Model for Stability Studies in the WSCC , 2002, IEEE Power Engineering Review.

[18]  W. Marsden.  I and J , 2012 .

[19]  P. I. Barton,et al.  Efficient sensitivity analysis of large-scale differential-algebraic systems , 1997 .

[20]  Vijay Vittal,et al.  Determination of Transient Stability Constrained Interface Real Power Flow Limit Using Trajectory Sensitivity Approach , 2013, IEEE Transactions on Power Systems.

[21]  Ian A. Hiskens,et al.  Shooting Methods for Locating Grazing Phenomena in Hybrid Systems , 2006, Int. J. Bifurc. Chaos.

[22]  Stephen J. Wright,et al.  Numerical Optimization , 2018, Fundamental Statistical Inference.

[23]  A. Maitra,et al.  Load model parameter derivation using an automated algorithm and measured data , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[24]  Ian A. Hiskens,et al.  Power system modeling for inverse problems , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.