Abstract
Sliding mode control can restrain the perturbations generated from the intermittence of the renewable energy generation and the randomness of local loads when microgrids are operating in islanded mode. However, the microgrid consists of several subsystems and the interactions among them will cause the chattering problems under the overall sliding mode control. In this paper, the chattering restraint issues for voltage control of the islanded microgrid with a ring topology structure are investigated based on the decentralized adaptive sliding mode control strategies. Firstly, we construct a tracking error system with interconnections considering the power transmission among subsystems and nominal values of system states. Secondly, we design linear matrix inequalities (LMIs) according to the H∞ attenuation performance of the system external disturbances. Then, the tracking error performance and the control precision are guaranteed via the asymptotic stabilities of integral sliding mode surfaces. Adaptive laws are utilized to address the chattering problems of the sliding mode control. Finally, simulation results verify the effectiveness of the proposed decentralized control methods.
Highlights
There are abundant distributed generating devices permeating in the modern electric power systems for achieving the environment protection and the effective and flexible control of grids
The main contributions of this paper can be summarized as follows: 1) The established multi-area microgrid model can depict the interactions among subsystems appropriately; 2) The reliability of solutions and the attenuation performance of external disturbances can be ensured based on the linear matrix inequalities (LMIs); 3) The proposed decentralized adaptive sliding mode control (ASMC) can restrain the chattering of the microgrid
The proposed decentralized ASMC strategy is applied in the voltage control of microgrid with ring topology
Summary
There are abundant distributed generating devices permeating in the modern electric power systems for achieving the environment protection and the effective and flexible control of grids. The main contributions of this paper can be summarized as follows: 1) The established multi-area microgrid model can depict the interactions among subsystems appropriately; 2) The reliability of solutions and the attenuation performance of external disturbances can be ensured based on the linear matrix inequalities (LMIs); 3) The proposed decentralized ASMC can restrain the chattering of the microgrid. In order to design decentralized adaptive sliding mode voltage control laws for error dynamic model (11), the following assumptions are introduced. XiCiT CiXi + XiEiXi. the LMI (20) is obtained with the method of Lemma three and the proof is completed.we design the switching control in terms of adaptive algorithm to restrain the state chattering.
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