An Efficient Approach for Measurement-Based Composite Load Modeling

Measurement-based load modeling, especially in the presence of new loads such as power electronics-interfaced loads and electric vehicles with fast dynamics, requires fast-converging algorithms that provide the model parameters with high reliability. In the current practice, all or only a subset of the parameters of an aggregated load model are estimated using iterative optimization algorithms. Thus, the identification problem either has a high dimension, which leads to a large variance for the estimated parameters, or does not include a subset of the parameters with low sensitivity. In this paper, an efficient approach for the estimation of the composite load model parameters is proposed that addresses these issues. This method partitions the parameters into two subsets; one that appears nonlinearly in the model output, and a second set that affects the outputs linearly. Then, the optimization is performed only with respect to the nonlinear set, with the linear parameters treated as explicit functions of the nonlinear ones. This approach effectively reduces the dimension of the search space since it only includes the nonlinear parameters in the optimization, and also includes the linear parameters by computing them using linear regression at each iteration. These features lead to a much faster convergence while all of the composite load model parameters are estimated reliably. Experimental and simulation data are presented to demonstrate the performance of the proposed method.

[1]  M. Viberg,et al.  Separable non-linear least-squares minimization-possible improvements for neural net fitting , 1997, Neural Networks for Signal Processing VII. Proceedings of the 1997 IEEE Signal Processing Society Workshop.

[2]  Mohammad Taghi Ameli,et al.  Measurement-based modelling of composite load using genetic algorithm , 2018 .

[3]  G. Golub,et al.  Separable nonlinear least squares: the variable projection method and its applications , 2003 .

[4]  R. Stephenson A and V , 1962, The British journal of ophthalmology.

[5]  Nitin Kumar Saxena,et al.  Estimation of composite load model with aggregate induction motor dynamic load for an isolated hybrid power system , 2015 .

[6]  Gene H. Golub,et al.  The differentiation of pseudo-inverses and non-linear least squares problems whose variables separate , 1972, Milestones in Matrix Computation.

[7]  Andrew Keane,et al.  Open and Closed-Loop Residential Load Models for Assessment of Conservation Voltage Reduction , 2017, IEEE Transactions on Power Systems.

[8]  Dongbo Zhao,et al.  Load Modeling—A Review , 2018, IEEE Transactions on Smart Grid.

[9]  Jeonghoon Shin,et al.  Fast and reliable estimation of composite load model parameters using analytical similarity of parameter sensitivity , 2016 .

[10]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[11]  David T. Westwick,et al.  Reducing induction motor identified parameters using a nonlinear Lasso method , 2012 .

[12]  Peter W. Sauer,et al.  Development and comparative study of induction machine based dynamic P, Q load models , 1995 .

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

[14]  Hao Zhu,et al.  Dependency Analysis and Improved Parameter Estimation for Dynamic Composite Load Modeling , 2017, IEEE Transactions on Power Systems.

[15]  Paul C. Krause,et al.  Tesla's Contribution to Electric Machine Analysis , 2017, IEEE Transactions on Energy Conversion.

[16]  S. Billings Nonlinear System Identification: NARMAX Methods in the Time, Frequency, and Spatio-Temporal Domains , 2013 .

[17]  Axel Ruhe,et al.  Algorithms for separable nonlinear least squares problems , 1980 .

[18]  Kyung-Bin Song,et al.  Improvement of Composite Load Modeling Based on Parameter Sensitivity and Dependency Analyses , 2014, IEEE Transactions on Power Systems.

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

[20]  Scott D. Sudhoff,et al.  Analysis of Electric Machinery and Drive Systems , 1995 .

[21]  Chee-Mun. Ong,et al.  Dynamic simulation of electric machinery : using MATLAB/SIMULINK , 1997 .

[22]  L. Ljung Approaches to identification of nonlinear systems , 2010, Proceedings of the 29th Chinese Control Conference.

[23]  S. Ahmed-Zaid,et al.  Structural modeling of small and large induction machines using integral manifolds , 1991 .

[24]  Linda Kaufman,et al.  Separable Nonlinear Least Squares with Multiple Right-Hand Sides , 1992, SIAM J. Matrix Anal. Appl..