Title: Robust power system stabiliser design via interval arithmetic

Authors: M. Soliman

Addresses: Electrical Power and Machines Department, Benha University, P.O. Box 11241, 108 Shoubra St., Cairo, Egypt

Abstract: In this paper, an interval arithmetic (IA) approach is proposed to rigorously address load uncertainties associated with the design of PSS. The proposed approach characterises the robust stabilising three-term/parameter PSSs computed for a single-machine infinite-bus system. A robust PSS can properly function over a wide range of operating conditions. Image-set and interval plant models are developed to express all uncertainties in the model parameters imposed by continuous variation in generation and load patterns. For robust PSS design purpose, an interval characteristic polynomial of the closed loop system is generated. Interval Routh-Hurwitz (RH) array is considered to get a fast but conservative calculation of the stability region in the controller-parameter plane using IA computation. Degenerate interval (RH) array for an image-set polynomial of the plant is thereafter developed where the region of robust stability is exactly computed. Simulation results are provided to confirm the effectiveness of the proposed approach in computing robust PSSs.

Keywords: dynamic stability; interval arithmetic; output feedback; PID control; robustness; load uncertainties; power system stabiliser; PSS design; simulation.

DOI: 10.1504/IJMIC.2016.076827

International Journal of Modelling, Identification and Control, 2016 Vol.25 No.4, pp.287 - 300

Received: 28 Mar 2015
Accepted: 25 Aug 2015

Published online: 01 Jun 2016 *

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