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Research Papers

Dynamic Model-Based Fuzzy Controller for Maximum Power Point Tracking of Photovoltaic Systems: A Linear Matrix Inequality Approach

[+] Author and Article Information
Navid Vafamand

School of Electrical and Computer Engineering,
Shiraz University,
Shiraz 71946, Fars, Iran
e-mail: n.vafamand@shirazu.ac.ir

Mohsen Rakhshan

Department of Electrical Engineering,
University of Notre Dame,
Notre Dame, IN 46556
e-mail: mrakhsha@nd.edu

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 2, 2016; final manuscript received November 11, 2016; published online March 16, 2017. Assoc. Editor: Dumitru I. Caruntu.

J. Dyn. Sys., Meas., Control 139(5), 051010 (Mar 16, 2017) (6 pages) Paper No: DS-16-1375; doi: 10.1115/1.4035240 History: Received August 02, 2016; Revised November 11, 2016

In this paper, a new systematic approach for stability analysis and controller design of nonlinear solar photovoltaic (PV) power system is proposed. Based on a nonquadratic Lyapunov function (NQLF), a model-based dynamic nonparallel-distributed compensation (non-PDC) controller and descriptor representation, the problem of the output tracking is formulated in terms of linear matrix inequalities (LMIs). Furthermore, some slack LMI variables are introduced in the problem formulation which lead to more relaxed conditions. Finally, to illustrate the merits of the proposed approach, it is applied to a PV power system in which the reference voltage is calculated from the maximum power point tracking (MPPT) method.

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Figures

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Fig. 1

PV power control system using a dc/dc buck converter

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Fig. 2

The PV system_ scenario 1: (a) PV array voltage, (b) PV array power, and (c) control effort

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Fig. 3

Varying insolation atmosphere

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Fig. 4

Power–voltage diagram of PV system_ scenario 2: (a) the proposed approach, (b) PDC controller [28], (c) fuzzy model-free controller [12], and (d) PI controller [14]

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