A comparison of photovoltaic models for estimating power generation: a case study of Brazilian data
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A comparison of photovoltaic models for estimating power generation: a case study of Brazilian data Ricardo Oliveira1 · Carmen L. T. Borges2 Received: 1 July 2020 / Accepted: 7 November 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper presents photovoltaic (PV) generation models used to predict the power output injected into the grid, taking into account the relevant environmental variables, such as irradiance and ambient air temperature. The purpose is to identify the models that have the necessary degree of accuracy and simplicity to be used in studies of technical impacts of connecting PV generation plants to power systems. The paper focuses on semi-empirical models that adopt analytical expressions based on empirical equations and information provided by manufacturers. Using time series of ground measured irradiance and local ambient air temperature, five models are used to generate power output time series in minutely and hourly resolution, which are then compared with actual power measurements using statistical metrics. Graphic abstract • Presents and compares photovoltaic (PV) generation
models to predict the power output with the objective of applications in power systems studies.
• Uses time series of measured irradiance and temperature
and generated power applied to a Brazilian PV plant.
• Different time resolution compared using statistical met-
rics.
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Maximum output power (Watts)
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Normalized irradiance and power output
PESRC Osterwald Park AMPP Ideal EC
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Irradiance PESRC model Park model Osterwald model AMPP model Ideal model CA measured power
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Incident Irradiance (W/m2)
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Output power versus Incident Irradiance
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Power output for a typical clear day
Keywords Photovoltaic generation · PV model evaluation · Output power · Time series resolution * Carmen L. T. Borges [email protected] 1
Brazilian Electric Power Holding, Rio de Janeiro, Brazil
Electrical Engineering Department, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil
2
List of symbols P mod Module maximum output power (W) Gi A measured incident solar irradiance (W/m2) PSTC Module maximum rated power under STC conditions (W)
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Vol.:(0123456789)
GSTC Incident solar irradiance in STC conditions (W/ m 2) Parray PV array maximum output power (W) Nm Number of modules 𝛾 Cell maximum power temperature coefficient (%/°C) amb Tc Cell ambient temperature (°C) TcSTC Cell temperature under STC conditions (°C) amb A measured ambient air temperature (°C) Tair TcNOCT Cell temperature under NOCT conditions (°C) NOCT Ambient air temperature in NOCT conditions Tair (°C) GNOCT Incident solar irradiance in NOCT conditions (W/m2) Rc A given irradiance point. It has a typical value of 150 W/m2 Ncel Number of cells connected in series in the module Nms Number of modules in series in the array Vmp Cell/mo
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