Application of fractional-order nonlinear equations in coordinated control of multi-agent systems

Author:

Jia Xiaojian1,Cui Yan2,Patro Rojalini3,Venkatachalam Selvakumar4,Kanday Rajeev5,Turayevich Jumaniyazov Inomjon6

Affiliation:

1. Department of Basic, Shanxi Institute of Economics and Business , Taiyuan , Shanxi, 030024 , China

2. School of Physics and Information, Shanxi Normal University , Shanxi , 030031 , China

3. Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram , Guntur , Andhra Pradesh , India

4. Department of Maths and Statistics, Bhavan’s Vivekananda College of Science, Humanities and Commerce , Hyderabad-94 , Telangana , India

5. School of Computer Science and Engineering, Lovely Professional University , Phagwara , India

6. Department of Finance, Tashkent Institute of Finance , Tashkent , Uzbekistan

Abstract

Abstract In order to solve the coordinated operation of voltage and frequency of microgrids and achieve effective distribution of output power, we propose the application of fractional-order nonlinear equations in coordination. This method designs a distributed impulse coordinated control strategy, to achieve the coordinated operation of the system. The distributed coordinated control structure and mathematical model are established, and the distributed two-level coordinated control strategy of the microgrid system is adopted. Aiming at the secondary control problem of microgrids, a distributed coordinated control protocol is designed. The results showed that after adding the distributed second-level coordination control of frequency at 3 s, the output active power of the four distributed power sources in the microgrid model is maintained to an evenly divided state after about 1 s. The output voltage and frequency utilizing the microgrid’s decentralized power supply quickly reach the ideal reference value, within the allowable error range, the output of the system can achieve coordinated control, and the active power can be distributed proportionally.

Publisher

Walter de Gruyter GmbH

Subject

Computer Networks and Communications,General Engineering,Modeling and Simulation,General Chemical Engineering

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