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access icon openaccess Linear matrix inequality approach in stability improvement through reactive power control in hybrid distributed generation system

This is an open access article published by the IET under the Creative Commons Attribution-NonCommercial-NoDerivs License (http://creativecommons.org/licenses/by-nc-nd/3.0/)
Received 04/03/2018, Accepted 11/04/2019, Revised 25/02/2019, Published 16/04/2019

Stability of a standalone hybrid power system (HPS) in a smart grid is always a challenging task. Further, the operational stability of the power system depends on the associated communication infrastructure. Therefore, it is always crucial to pick up a controller that can assure system's stability along with performance, despite disturbances like (load and input wind variations) with communication delays. Present study focuses on reactive power management and voltage stability issues of an isolated HPS. The stability aspects of HPS are improved through reactive power compensation, by custom power devices like static var compensator. The control aspects of SVC as well as the whole hybrid system are taken care by H∞ linear matrix inequalities approach. Further, H-infinity control, Lyapunov stability along with linear matrix inequalities techniques estimate the delay boundary of controllers. The iterative performance of the proportional–integral–derivative controllers, and robust H∞ damping controller of the HPS, are designed through LMI approach. Later experimental study of the HPS is done, with a prototype model in dSPACE real-time control environment. In this case, dSPACE 1104 is added for data acquisition and control. Adaptability and robustness of the proposed controllers are verified under fluctuating loads and uncertain wind power input.

Inspec keywords: static VAr compensators; Lyapunov methods; hybrid power systems; wind power plants; three-term control; control system synthesis; power system stability; linear matrix inequalities; distributed power generation; robust control; reactive power control; power generation control; delays

Other keywords: H-infinity damping control; voltage stability issues; standalone hybrid power system; hybrid distributed generation system; reactive power compensation; hybrid system; uncertain wind power input; associated communication infrastructure; reactive power control; wind energy based isolated HPS; stability improvement; stability aspects; linearised static VAr compensator; load power variations; proportional–integral–derivative controller; operational stability; reactive power management; linear matrix inequality approach; dSPACE real-time control environment; linear matrix inequalities approach; isolated wind energy; communication delays; Lyapunov stability; linear matrix inequalities techniques; complex power system; data acquisition; input wind power variations; control aspects; real-time control environment

Subjects: Wind power plants; Control system analysis and synthesis methods; Optimal control; Power system control; Algebra; Algebra; Power and energy control; Distributed power generation; Stability in control theory; Control of electric power systems

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