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Article
Publication date: 6 July 2012

Andreas D. Theocharis, Vasilis P. Charalampakos, Anastasios Drosopoulos and John Milias‐Argitis

The purpose of this paper is to develop a linearized equivalent electrical circuit of a photovoltaic generator. This circuit is appropriate to confront problems such as numerical…

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Abstract

Purpose

The purpose of this paper is to develop a linearized equivalent electrical circuit of a photovoltaic generator. This circuit is appropriate to confront problems such as numerical instability, increased computational time and nonlinear/non‐canonical form of system equations that arise when a photovoltaic system is modelled, either with differential equations or with equivalent resistive circuits that are generated by electromagnetic transient software packages for power systems studies.

Design/methodology/approach

The proposed technique is based on nonlinear and well‐tested ipvvpv equations which are however used in an alternative mathematical manner. The application of the Newton‐Raphson algorithm on the ipvvpv equations leads to uncoupling of the ipv and vpv quantities in each time step of a digital simulation. This uncoupling is represented by a linearized equivalent electrical circuit.

Findings

The application of nodal analysis equivalent resistive circuits using the proposed equivalent photovoltaic generator circuit leads to a system model based on linear algebraic equations. This is in opposition to the nonlinear models that normally result when a nonlinear ipvvpv equation is used. In addition, using the proposed scheme, the regular systematic methods of circuit analysis are fully capable of deriving the differential equations of a photovoltaic system in standard form, thus avoiding the time‐consuming solution process of nonlinear models.

Originality/value

In this paper, a new method of using the ipvvpv characteristic equations is proposed which remarkably simplifies photovoltaic systems modeling. Moreover, a very important practical application is that by using this methodology one can develop a photovoltaic generator element in electromagnetic transient programs for power systems analysis, of great value to power engineers who are involved in photovoltaic systems modeling.

Details

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, vol. 31 no. 4
Type: Research Article
ISSN: 0332-1649

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