# ANFIS-Based Modeling for Photovoltaic Characteristics Estimation

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## Abstract

**:**

## 1. Introduction

## 2. ANFIS and PV Modeling

#### 2.1. ANFIS

#### 2.2. The Proposed PV Model

## 3. Results

## 4. Conclusions

## Acknowledgments

## Author Contributions

## Conflicts of Interest

## Abbreviations

AM | air mass |

${P}_{MAX}$ | maximum power (W) |

${V}_{OC}$ | open circuit voltage (V) |

${I}_{SC}$ | short circuit current (A) |

${V}_{MPP}$ | maximum power point voltage (V) |

${I}_{MPP}$ | maximum power point current (A) |

${K}_{V}$ | temperature coefficients of open circuit voltage (V/K) |

${K}_{I}$ | temperature coefficients of short circuit current (A/K) |

${N}_{CS}$ | number of cells in series |

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**Figure 5.**The comparison of mean absolute error (MAE) values over 100 runs for the module (

**a**) STP265S-20 (

**b**) KC200GT (

**c**) TS-150C1. (The MAE value above 0.5 A is shown as 0.5 A in the figure).

Module | STP265S-20 | KC200GT | TS-150C1 |
---|---|---|---|

Technology | mono-crystalline | poly-crystalline | thin-film |

${P}_{MAX}$ (W) | 265.05 | 200.14 | 149.96 |

${V}_{OC}$ (V) | 38.1 | 32.9 | 64.5 |

${I}_{SC}$ (A) | 9.22 | 8.21 | 3.61 |

${V}_{MPP}$ (V) | 30.5 | 26.3 | 46.0 |

${I}_{MPP}$ (A) | 8.69 | 7.61 | 3.26 |

${K}_{V}$ (V/K) | −0.130 | −0.123 | −0.187 |

${K}_{I}$ (A/K) | 5.53 × 10 ${}^{-3}$ | 3.18 × 10 ${}^{-3}$ | 3.61 × 10 ${}^{-4}$ |

${N}_{CS}$ | 60 | 54 | 100 |

Method | STP265S-20 | KC200GT | TS-150C1 | ||||||
---|---|---|---|---|---|---|---|---|---|

RMSE | MAPE | R${}^{2}$ (%) | RMSE | MAPE | R${}^{2}$ (%) | RMSE | MAPE | R${}^{2}$ (%) | |

Villalva’s model [6] | 0.6754 | 11.859 | 94.50 | 0.2032 | 0.0499 | 99.27 | 0.1007 | 0.1386 | 99.04 |

RBFNN model * | 0.0458 | 1.9232 | 99.97 | 0.0381 | 0.0071 | 99.97 | 0.0414 | 0.0204 | 99.71 |

SVR model ${}^{\u2020}$ | 0.0574 | 3.1932 | 99.95 | 0.0145 | 0.0037 | 99.99 | 0.0105 | 0.0150 | 99.99 |

ANFIS model | 0.0280 | 0.7363 | 99.99 | 0.0123 | 0.0026 | 99.99 | 0.0079 | 0.0109 | 99.99 |

© 2016 by the authors; licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC-BY) license (http://creativecommons.org/licenses/by/4.0/).

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**MDPI and ACS Style**

Bi, Z.; Ma, J.; Pan, X.; Wang, J.; Shi, Y.
ANFIS-Based Modeling for Photovoltaic Characteristics Estimation. *Symmetry* **2016**, *8*, 96.
https://doi.org/10.3390/sym8090096

**AMA Style**

Bi Z, Ma J, Pan X, Wang J, Shi Y.
ANFIS-Based Modeling for Photovoltaic Characteristics Estimation. *Symmetry*. 2016; 8(9):96.
https://doi.org/10.3390/sym8090096

**Chicago/Turabian Style**

Bi, Ziqiang, Jieming Ma, Xinyu Pan, Jian Wang, and Yu Shi.
2016. "ANFIS-Based Modeling for Photovoltaic Characteristics Estimation" *Symmetry* 8, no. 9: 96.
https://doi.org/10.3390/sym8090096