Title: Grid frequency stabilisation under magnitude and generation rate constraints

Authors: Hisham M. Soliman; Abdellah Benzaouia; Farag Ali El-Sheikhi; Kenan Büyükatak

Addresses: Department of Electrical Power Engineering, Faculty of Engineering, Cairo University, Cairo, Egypt ' Physics Department, Faculty of Sciences Semlalia, EASISI, Cadi Ayyad University, P.B. 2390, Marrakech, Morocco; MIS, University of Picardie Jule-Vernes, Amiens, France ' Electrical and Electronics Engineering Department, Faculty of Engineering and Architecture, Istanbul Esenyurt University, Istanbul, Turkey ' Electrical and Electronics Engineering Department, Faculty of Engineering and Architecture, Istanbul Esenyurt University, Istanbul, Turkey

Abstract: A new load frequency control (LFC) design in a multi-area power system is introduced in this paper. The proposed design tackles the problem of constraints on both control magnitude and its rate. With this design, the control limits (corresponding to a fully open/closed fuel valve) are not violated. Also, the generation rate constraint (GRC) is kept within the permissible range imposed in practice. Violation of such constraints may lead to instability or damage of mechanical parts. A pole placement method is used to solve this inverse problem. The resulting stabiliser is state feedback plus integral control. The proposed control avoids the complexity in modelling the nonlinear like of the GRC. Unlike other designs, the suggested control represents a link between the pole placement procedure and these constraints. To validate the efficacy of the proposed design, digital simulations for single and two-area power systems are presented in this paper. A comparison is made between the proposed control and the traditional control scheme which confirms the proposed technique's supremacy.

Keywords: constrained control; generation rate constraints; GRCs; load frequency control; LFC; positive invariance; pole placement.

DOI: 10.1504/IJMIC.2024.136631

International Journal of Modelling, Identification and Control, 2024 Vol.44 No.2, pp.172 - 180

Received: 28 Sep 2022
Received in revised form: 14 Nov 2022
Accepted: 29 Nov 2022
Published online: 09 Feb 2024 *

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