Model Reduction By Hermite Polynomials And Genetic Algorithm

Abstract

The present paper attempts to develop order reduction methods where the suggested reduction model consists of two phases. First, full order system is expanded by Hermite polynomials, then a set of parameters in a fixed structure are determined, whose values define the reduced order system. The values are obtained using Genetic Algorithm (GA) by minimizing the errors between the l first coefficients of Hermite polynomials expansion of full and reduced systems. To satisfy the stability, Routh criterion is used as constraints in optimization problem. To present the ability of the proposed method, three test systems are reduced. The results obtained are compared with other existing techniques. The results obtained show the accuracy and efficiency of the proposed method.

Model Order Reduction by Routh Stability Array with Stability Equation Method for SISO and MIMO Systems

“…All the control system and power system networks defined in MATLAB using a block diagram in SIMULINK portion may represent a higher-order transfer function for that system [4]. This transfer function for the simplicity or for ease of operation must be reduced to a lower-order transfer function using a reduction technique prevalent in literature such as Routh approximation [5], Pade approximation [6], Routh-Pade method [7,8], Stability equation method [9,10,11,12], Differentiation method [2,3,4,13], Routh Stability array method [10,14], pole clustering [15], integral square error method [1] and/or based on soft computing techniques such as genetic algorithm (GA) [16,17], particle swarm optimization (PSO) [18,19], bat algorithm (BA) [1] and Harmony search algorithm [7] etc.…”

Reduced Order Model of Single Machine Infinite Bus Power System Using Stability Equation Method and Self-adaptive Bat Algorithm

“…Soloklo have presented the application of harmony search algorithm with multi-objective function for determining the lower order model of HO systems [29]. The application of Hermite polynomials with GA is presented for ROM of large systems in [30]. The stable reduced order modeling for linear time invariant systems is presented in [17,22].…”