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A state-space representation of irradiance-driven dynamics in two-stage photovoltaic systems

A state-space representation of irradiance-driven dynamics in two-stage photovoltaic systems
A state-space representation of irradiance-driven dynamics in two-stage photovoltaic systems

In electric grids with large photovoltaic (PV) integration, the PV system dynamics triggered by irradiance variation is an important factor for the power system stability. Although there are models in the literature that describe these dynamics, they are usually formulated as block diagrams or flowcharts and employ implicit equations for the PV generator, thus requiring application-specific software and iterative solution algorithms. Alternatively, to provide a rigorous mathematical formulation, a state-space representation of the PV system dynamics driven by irradiance variation is presented in this paper. This is the first PV dynamic model in entirely state-space form that incorporates the maximum power point tracking function. To this end, the Lambert W function is used to express the PV generator's equations in an explicit form. Simulations are performed in MATLAB/Simulink to evaluate and compare the proposed dynamic model over the detailed switching modeling approach in terms of accuracy and computational performance.

Dynamic model, irradiance changes, Lambert W function, maximum power point tracking (MPPT), photovoltaic (PV) system, state-space model
2156-3381
1119-1124
Batzelis, Efstratios I.
2a85086e-e403-443c-81a6-e3b4ee16ae5e
Anagnostou, Georgios
41e8433d-52ec-4a6a-ba0f-1619b2e5bab8
Pal, Bikash C.
c062978e-53eb-4d5d-ace8-746ccafa5fb0
Batzelis, Efstratios I.
2a85086e-e403-443c-81a6-e3b4ee16ae5e
Anagnostou, Georgios
41e8433d-52ec-4a6a-ba0f-1619b2e5bab8
Pal, Bikash C.
c062978e-53eb-4d5d-ace8-746ccafa5fb0

Batzelis, Efstratios I., Anagnostou, Georgios and Pal, Bikash C. (2018) A state-space representation of irradiance-driven dynamics in two-stage photovoltaic systems. IEEE Journal of Photovoltaics, 8 (4), 1119-1124. (doi:10.1109/JPHOTOV.2018.2839261).

Record type: Article

Abstract

In electric grids with large photovoltaic (PV) integration, the PV system dynamics triggered by irradiance variation is an important factor for the power system stability. Although there are models in the literature that describe these dynamics, they are usually formulated as block diagrams or flowcharts and employ implicit equations for the PV generator, thus requiring application-specific software and iterative solution algorithms. Alternatively, to provide a rigorous mathematical formulation, a state-space representation of the PV system dynamics driven by irradiance variation is presented in this paper. This is the first PV dynamic model in entirely state-space form that incorporates the maximum power point tracking function. To this end, the Lambert W function is used to express the PV generator's equations in an explicit form. Simulations are performed in MATLAB/Simulink to evaluate and compare the proposed dynamic model over the detailed switching modeling approach in terms of accuracy and computational performance.

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More information

Published date: July 2018
Additional Information: Funding Information: Manuscript received February 19, 2018; revised April 18, 2018 and May 15, 2018; accepted May 17, 2018. Date of publication June 14, 2018; date of current version June 19, 2018. The work of E. I. Batzelis was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant 746638. The work of G. Anagnostou and B. C. Pal was conducted as part of the research project Joint UK India Clean Energy Centre, which is funded by the RCUK’s Energy Programme (contract no.: EP/P003605/1). (Corresponding author: Efstratios I. Batzelis.) The authors are with the Department of Electrical and Electronic Engineering, Imperial College London, London SW7 2AZ, U.K. (e-mail:, e.batzelis@imperial.ac.uk; georgios.anagnostou11@imperial.ac.uk; b.pal@ imperial.ac.uk). Publisher Copyright: © 2011-2012 IEEE. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
Keywords: Dynamic model, irradiance changes, Lambert W function, maximum power point tracking (MPPT), photovoltaic (PV) system, state-space model

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Local EPrints ID: 449666
URI: http://eprints.soton.ac.uk/id/eprint/449666
ISSN: 2156-3381
PURE UUID: 70f526ff-2734-4886-b4af-ec5d0f6a1182

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Date deposited: 10 Jun 2021 16:31
Last modified: 10 Jun 2021 16:31

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Contributors

Author: Efstratios I. Batzelis
Author: Georgios Anagnostou
Author: Bikash C. Pal

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