Title: Kharitonov polynomial-based interval reduced order modelling of Cuk converter

Authors: V.P. Meena; V.P. Singh

Addresses: Department of Electrical Engineering, Malaviya National Institute of Technology, Jaipur, 302017, Rajasthan, India ' Department of Electrical Engineering, Malaviya National Institute of Technology, Jaipur, 302017, Rajasthan, India

Abstract: This paper proposes a method of reduced order modelling for Cuk converter using state space averaging (SSA) technique in which combined state space description is obtained and output to control for Cuk converter transfer function is determined. However, there may be some variation in parameters of system due to uncertainties and imperfect modelling that are addressed using interval modelling. Thus, the obtained interval model is reduced further using Kharitonov polynomials. Routh-Padé approximation is employed for model order reduction. This procedure of model order reduction is explained for Cuk converter model. Fourth-order system is reduced to its respective first, second and third-order reduced models. To signify efficacy of technique proposed, frequency and step responses of models and system are plotted. Comparative study is performed using time domain specifications. Further, difference between responses of model and system are presented in terms of performance indices. The results prove effectiveness and simplicity of proposed technique.

Keywords: Cuk converter; interval modelling; interval systems; Kharitonov polynomials; order reduction; parametric uncertainty; state space averaging; SSA.

DOI: 10.1504/IJMIC.2022.127520

International Journal of Modelling, Identification and Control, 2022 Vol.41 No.3, pp.231 - 242

Received: 22 Oct 2021
Accepted: 24 Dec 2021
Published online: 07 Dec 2022 *

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