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Equivalent circuit of photovoltaic generator using Newton-Raphson algorithm
Univ Patras, Dept Elect & Comp Engn, Patras, Greece.ORCID iD: 0000-0001-9750-9863
2012 (English)In: Compel, ISSN 0332-1649, Vol. 31, no 4, 1224-1245 p.Article in journal (Refereed) Published
Abstract [en]

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 ipv 2 vpv equations which are however used in an alternative mathematical manner. The application of the Newton-Raphson algorithm on the ipv 2 vpv 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 ipv 2 vpv 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 ipv 2 vpv 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. © 2012 Emerald Group Publishing Limited.

Place, publisher, year, edition, pages
Emerald Group Publishing Limited, 2012. Vol. 31, no 4, 1224-1245 p.
Keyword [en]
Characteristic equation; Computational time; Design/methodology/approach; Digital simulation; Electro-magnetic transient; Electromagnetic transient program; Equivalent electrical circuits; Linear algebraic equation; Newton-Raphson algorithm; Nodal analysis; Non-linear model; Non-Linearity; Numerical instability; Photovoltaic systems; Power engineers; Resistive circuits; Solution process; Standard form; System equations; System models; Systematic method; Time step, Control nonlinearities; Differential equations; Electric network analysis; Electric power generation; Electric resistance; Linear equations; Linearization; Mathematical models; Networks (circuits); Newton-Raphson method; Nonlinear systems; Solar energy; Systems analysis; Transients, Nonlinear equations
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kau:diva-63771DOI: 10.1108/03321641211227492ISI: 000308896700018Scopus ID: 2-s2.0-84864609699OAI: oai:DiVA.org:kau-63771DiVA: diva2:1142059
Available from: 2017-09-18 Created: 2017-09-18 Last updated: 2017-09-19Bibliographically approved

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