Dynamics of the fractional-order chaotic PMSG, its stabilisation using predictive control and circuit validation

Manashita Borah; Binoy K. Roy

Dynamics of the fractional-order chaotic PMSG, its stabilisation using predictive control and circuit validation

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Author(s): Manashita Borah ¹ and Binoy K. Roy ¹
- Affiliations: 1: Electrical Engineering Department, National Institute of Technology, Silchar, India
Source: Volume 11, Issue 5, May 2017, p. 707 – 716
DOI: 10.1049/iet-epa.2016.0506 , Print ISSN 1751-8660, Online ISSN 1751-8679

Received 31/07/2016, Accepted 19/10/2016, Revised 30/09/2016, Published 01/05/2017

This work focuses on two prime objectives. The first is to detect chaos in the fractional-order model of a permanent magnet synchronous generator (PMSG) and the second is to suppress chaos using a novel predictive control scheme in the fractional order sense. The main contributions of the work, therefore, lie in discovering the minimum commensurate order for which chaos exists in the fractional-order PMSG (FOPMSG), studying its dynamical behaviour ranging from Hopf bifurcation to stability analysis and the proposal of a single-state predictive controller to stabilise the chaotic FOPMSG in both commensurate as well as incommensurate orders. The proposal of predictive controller for controlling chaos in a fractional-order variable-speed drive is a novel attempt. Lower control effort, effectiveness, simplicity in design and application, convenience in inclusion of non-linearity, etc. highlight the promising potential of the proposed predictive control scheme. Circuit implementation results which are in good qualitative agreement with that of simulated results, confirm that the work attains the objectives successfully.

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Dynamics of the fractional-order chaotic PMSG, its stabilisation using predictive control and circuit validation

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