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access icon free Constrained optimisation approach for parameter estimation of PV modules with single-diode equivalent model

© The Institution of Engineering and Technology
Received 11/11/2017, Accepted 25/06/2018, Revised 24/04/2018, Published 25/07/2018

This study deals with estimation of five unknown parameters in single-diode equivalent model of photovoltaic (PV) modules. First, to simplify the problem, the unknown parameters are reduced to series resistance and diode thermal voltage. These two parameters have significant role for PV model identification. On the other hand, PV model has the least sensitivity to the choice of parallel resistance. Hence, an approximation is utilised for parallel resistance and large value is assigned to this electrical parameter. Thanks to the proposed approximation, a novel cost function is designed for the reduced model such that all of its optimum solutions remain in a small interval of the reduced model. A set of inequality constraints are defined to generate an almost convex optimisation problem with all solutions located in a very small set. The gradient update laws are developed to find the solutions in the tiny set forced by the constructed optimisation problem. The proposed estimation technique generates an accurate model for PV modules, especially at voltage values lower and equal to maximum voltage value.

Inspec keywords: solar cell arrays; gradient methods; convex programming; power semiconductor diodes; photovoltaic power systems; approximation theory; power system parameter estimation

Other keywords: photovoltaic modules; novel cost function; series resistance; diode thermal voltage; constrained optimisation approach; unknown parameter estimation; parallel resistance; voltage values; PV modules; electrical parameter; PV model identification; inequality constraints; gradient update laws; almost convex optimisation problem; single-diode equivalent model

Subjects: Junction and barrier diodes; Optimisation techniques; Solar power stations and photovoltaic power systems; Power semiconductor devices; Solar cells and arrays; Interpolation and function approximation (numerical analysis)

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