Abstract
This paper presents a robust model predictive control (RMPC) method with a new mixed H2/<inline-formula> <tex-math notation="LaTeX">$\text{H}\infty $ </tex-math></inline-formula> linear time-varying state feedback design. In addition, we propose a linear parameter-varying model for inverters in a microgrid (MG), in which disturbances and uncertainty are considered, where the inverters connect in parallel to renewable energy sources (RES). The proposed RMPC can use the gain-scheduled control law and satisfy both the H2 and <inline-formula> <tex-math notation="LaTeX">$\text{H}\infty $ </tex-math></inline-formula> proficiency requirements under various conditions, such as disturbance and load variation. A multistep control method is proposed to reduce the conservativeness caused by the unique feedback control law, enhance the control proficiency, and strengthen the RMPC feasible area. Furthermore, a practical and efficient RMPC is designed to reduce the online computational burden. The presented controller can implement load sharing among distributed generators (DGs) to stabilize the frequency and voltage of an entire smart island. The proposed strategy is implemented and studied in a MG with two DG types and various load types. Specifically, through converters, one type of DGs is used to control frequency and voltage, and the other type is used to control current. These two types of DGs operate in a parallel mode. Simulation results show that the proposed RMPCs are input-to-state practically stable (ISpS). Compared with other controllers in the literature, the proposed strategy can lead to minor total harmonic distortion (THD), lower steady-state error, and faster response to system disturbance and load variation.
Highlights
In cases where power electricity consumption would be too far from the main power network, for instance, remote villages or isolated islands or communication stations, it will be technically difficult or economically inefficient to deliver power electricity through transmission lines
The output of the LC filter has been employed to decrease the output voltage of harmonic components produced by the pulse width modulation (PWM) inverter
Considering proper upper boundaries as LMI auxiliary variables in terms of stability analysis leads to a reduction in conservatism
Summary
In cases where power electricity consumption would be too far from the main power network, for instance, remote villages or isolated islands or communication stations, it will be technically difficult or economically inefficient to deliver power electricity through transmission lines. A novel control strategy is introduced for islanding MG with different DGs according to a mixed H2/H∞ time-varying linear state feedback robust model predictive control algorithm to control voltage, current, and frequency of the power network system, and for load sharing among DG units. Another important point in this work is to consider increasing the TDH and root mean square (RMS) value of the voltage profile of MG.
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