Deterministic and Stochastic Approaches for Day-Ahead Solar Power Forecasting

Photovoltaic (PV) power forecasting has the potential to mitigate some of effects of resource variability caused by high solar power penetration into the electricity grid. Two main methods are currently used for PV power generation forecast: (i) a deterministic approach that uses physics-based models requiring detailed PV plant information and (ii) a data-driven approach based on statistical or stochastic machine learning techniques needing historical power measurements. The main goal of this work is to analyze the accuracy of these different approaches. Deterministic and stochastic models for dayahead PV generation forecast were developed, and a detailed error analysis was performed. Four years of site measurements were used to train and test the models. Numerical weather prediction (NWP) data generated by the weather research and forecasting (WRF) model were used as input. Additionally, a new parameter, the clear sky performance index, is defined. This index is equivalent to the clear sky index for PV power generation forecast, and it is here used in conjunction to the stochastic and persistence models. The stochastic model not only was able to correct NWP bias errors but it also provided a better irradiance transposition on the PV plane. The deterministic and stochastic models yield day-ahead forecast skills with respect to persistence of 35% and 39%, respectively.

[1]  Carlos F.M. Coimbra,et al.  Day-ahead forecasting of solar power output from photovoltaic plants in the American Southwest , 2016 .

[2]  William E. Boyson,et al.  Photovoltaic array performance model. , 2004 .

[3]  Cristina Cornaro,et al.  Model output statistics cascade to improve day ahead solar irradiance forecast , 2015 .

[4]  Chen Changsong,et al.  Forecasting power output for grid-connected photovoltaic power system without using solar radiation measurement , 2010, The 2nd International Symposium on Power Electronics for Distributed Generation Systems.

[5]  David Moser,et al.  Long term measurement accuracy analysis of a commercial monitoring system for photovoltaic plants , 2015, 2015 IEEE Workshop on Environmental, Energy, and Structural Monitoring Systems (EESMS) Proceedings.

[6]  C. Paulson The Mathematical Representation of Wind Speed and Temperature Profiles in the Unstable Atmospheric Surface Layer , 1970 .

[7]  Chul-Hwan Kim,et al.  Application of neural network to 24-hour-ahead generating power forecasting for PV system , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[8]  E. Mlawer,et al.  Radiative transfer for inhomogeneous atmospheres: RRTM, a validated correlated-k model for the longwave , 1997 .

[9]  Michael Y. Hu,et al.  Forecasting with artificial neural networks: The state of the art , 1997 .

[10]  G. Powers,et al.  A Description of the Advanced Research WRF Version 3 , 2008 .

[11]  B. Liu,et al.  Daily insolation on surfaces tilted towards equator , 1961 .

[12]  Yan Su,et al.  An ARMAX model for forecasting the power output of a grid connected photovoltaic system , 2014 .

[13]  Detlev Heinemann,et al.  Regional PV power prediction for improved grid integration , 2011 .

[14]  Xiaoyan Xu,et al.  Comparative study of power forecasting methods for PV stations , 2010, 2010 International Conference on Power System Technology.

[15]  Cristina Cornaro,et al.  Impact of light soaking and thermal annealing on amorphous silicon thin film performance , 2015 .

[16]  J. A. Ruiz-Arias,et al.  Benchmarking of different approaches to forecast solar irradiance , 2009 .

[17]  Olivier Pannekoucke,et al.  A benchmark of statistical regression methods for short-term forecasting of photovoltaic electricity production, part I: Deterministic forecast of hourly production , 2014 .

[18]  T. M. Klucher Evaluation of models to predict insolation on tilted surfaces , 1978 .

[19]  J. A. Ruiz-Arias,et al.  Comparison of numerical weather prediction solar irradiance forecasts in the US, Canada and Europe , 2013 .

[20]  Luca Delle Monache,et al.  Post-processing techniques and principal component analysis for regional wind power and solar irradiance forecasting , 2016 .

[21]  S. Pelland,et al.  Solar and photovoltaic forecasting through post‐processing of the Global Environmental Multiscale numerical weather prediction model , 2013 .

[22]  Q. Fu,et al.  On the correlated k-distribution method for radiative transfer in nonhomogeneous atmospheres , 1992 .

[23]  O. Perpiñán,et al.  PV power forecast using a nonparametric PV model , 2015 .

[24]  L. D. Monache,et al.  An application of the ECMWF Ensemble Prediction System for short-term solar power forecasting , 2016 .

[25]  Cristina Cornaro,et al.  Master optimization process based on neural networks ensemble for 24-h solar irradiance forecast , 2015 .

[26]  Viorel Badescu,et al.  Weather Modeling and Forecasting of PV Systems Operation , 2012 .

[27]  Bangyin Liu,et al.  Online 24-h solar power forecasting based on weather type classification using artificial neural network , 2011 .

[28]  T. Takashima,et al.  Regional forecasts of photovoltaic power generation according to different data availability scenarios: a study of four methods , 2015 .

[29]  Na Zhang,et al.  Photovoltaic system power forecasting based on combined grey model and BP neural network , 2011, 2011 International Conference on Electrical and Control Engineering.

[30]  I A Basheer,et al.  Artificial neural networks: fundamentals, computing, design, and application. , 2000, Journal of microbiological methods.

[31]  Georg A. Grell,et al.  Fully coupled “online” chemistry within the WRF model , 2005 .

[32]  Jan Kleissl,et al.  Solar Energy Forecasting and Resource Assessment , 2013 .

[33]  Joao Gari da Silva Fonseca Junior,et al.  Regional forecasts and smoothing effect of photovoltaic power generation in Japan: An approach with principal component analysis , 2014 .

[34]  Adel Mellit,et al.  Artificial Intelligence technique for modelling and forecasting of solar radiation data: a review , 2008, Int. J. Artif. Intell. Soft Comput..

[35]  Henrik Madsen,et al.  Online short-term solar power forecasting , 2009 .

[36]  Marcel Suri,et al.  D 1.1.3 Report on Benchmarking of Radiation Products , 2009 .

[37]  Adel Mellit,et al.  Short-term forecasting of power production in a large-scale photovoltaic plant , 2014 .

[38]  W. L. Webb,et al.  The physics of atmospheres , 1980 .

[39]  C. Coimbra,et al.  Proposed Metric for Evaluation of Solar Forecasting Models , 2013 .

[40]  H. G. Beyer,et al.  Qualified Forecast of Ensemble Power Production by Spatially Dispersed Grid-Connected PV Systems , 2008 .

[41]  J. Dudhia,et al.  2 A IMPLEMENTATION AND VERIFICATION OF THE UNIFIED NOAH LAND SURFACE MODEL IN THE WRF MODEL , 2003 .

[42]  Cristina Cornaro,et al.  Full characterization of photovoltaic modules in real operating conditions: theoretical model, measurement method and results , 2015 .

[43]  M. Baotic,et al.  Estimation of the global solar irradiance on tilted surfaces , 2013 .

[44]  J. Dudhia,et al.  A New Vertical Diffusion Package with an Explicit Treatment of Entrainment Processes , 2006 .

[45]  A. Mellit,et al.  A 24-h forecast of solar irradiance using artificial neural network: Application for performance prediction of a grid-connected PV plant at Trieste, Italy , 2010 .

[46]  Wolfram Sparber,et al.  Novel method for the improvement in the evaluation of outdoor performance loss rate in different PV technologies and comparison with two other methods , 2015 .

[47]  H. Barker,et al.  Accounting for subgrid‐scale cloud variability in a multi‐layer 1d solar radiative transfer algorithm , 1999 .

[48]  Richard Perez,et al.  Forecasting solar radiation – Preliminary evaluation of an approach based upon the national forecast database , 2007 .

[49]  Hans-Georg Beyer,et al.  Irradiance Forecasting for the Power Prediction of Grid-Connected Photovoltaic Systems , 2009, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[50]  John S. Kain,et al.  The Kain–Fritsch Convective Parameterization: An Update , 2004 .