Real-Time Uncertainty Specification of All Sky Imager Derived Irradiance Nowcasts

The incoming downward shortwave solar irradiance is harvested to an increasing extent by solar power plants. However, the variable nature of this energy source poses an operational challenge for solar power plants and electrical grids. Intra hour solar irradiance nowcasts with a high temporal and spatial resolution could be used to tackle this challenge. All sky imager (ASI) based nowcasting systems fulfill the requirements in terms of temporal and spatial resolution. However, ASI nowcasts can only be used if the required accuracies for applications in solar power plants and electrical grids are fulfilled. Scalar error metrics, such as mean absolute deviation, root mean square deviation, and skill score are commonly used to estimate the accuracy of nowcasting systems. However, these overall error metrics represented by a single number per metric are neither suitable to determine the real time accuracy of a nowcasting system in the actual weather situation, nor suitable to describe any spatially resolved nowcast accuracy. The performance of ASI-based nowcasting systems is strongly related to the prevailing weather conditions. Depending on weather conditions, large discrepancies between the overall and current system uncertainties are conceivable. Furthermore, the nowcast accuracy varies strongly within the irradiance map as higher errors may occur at transient zones close to cloud shadow edges. In this paper, we present a novel approach for the spatially resolved real-time uncertainty specification of ASI-based nowcasting systems. The current irradiance conditions are classified in one of eight distinct temporal direct normal irradiance (DNI) variability classes. For each class and lead-time, an upper and lower uncertainty value is derived from historical data, which describes a coverage probability of 68.3%. This database of uncertainty values is based on deviations of the irradiance maps, compared to three reference pyrheliometers in Tabernas, Andalucia over two years (2016 and 2017). Increased uncertainties due to transient effects are considered by detecting transient zones close to cloud shadow edges within the DNI map. The width of the transient zones is estimated by the current average cloud height, cloud speed, lead-time, and Sun position. The final spatially resolved uncertainties are validated with three reference pyrheliometers, using a data set consisting of the entire year 2018. Furthermore, we developed a procedure based on the DNI temporal variability classes to estimate the expected average uncertainties of the nowcasting system Remote Sens. 2019, 11, 1059; doi:10.3390/rs11091059 www.mdpi.com/journal/remotesensing Remote Sens. 2019, 11, 1059 2 of 22 at any geographical location. The novel method can also be applied for global tilted or horizontal irradiance and is assumed to improve the applicability of the ASI nowcasts.

[1]  Robert Pitz-Paal,et al.  Validation of an all‐sky imager–based nowcasting system for industrial PV plants , 2018 .

[2]  Ying Ma,et al.  A hybrid method based on extreme learning machine and k-nearest neighbor for cloud classification of ground-based visible cloud image , 2015, Neurocomputing.

[3]  Peter Schwarzbözl,et al.  a low-cost dynamic shadow detection system for site evaluation , 2011 .

[4]  Dong Huang,et al.  3D cloud detection and tracking system for solar forecast using multiple sky imagers , 2015 .

[5]  Stefan Wilbert,et al.  Short-term forecasting based on all-sky cameras , 2017 .

[6]  K. Moffett,et al.  Remote Sens , 2015 .

[7]  Rein van den Boomgaard,et al.  Methods for fast morphological image transforms using bitmapped binary images , 1992, CVGIP Graph. Model. Image Process..

[8]  A. Bais,et al.  The effect of clouds on surface solar irradiance, based on data from an all-sky imaging system , 2016 .

[9]  R. Pitz-Paal,et al.  Determination of cloud transmittance for all sky imager based solar nowcasting , 2019, Solar Energy.

[10]  Jan Kleissl,et al.  Classifying ground-measured 1 minute temporal variability within hourly intervals for direct normal irradiances , 2018, Meteorologische Zeitschrift.

[11]  Walter Richardson,et al.  A Low Cost, Edge Computing, All-Sky Imager for Cloud Tracking and Intra-Hour Irradiance Forecasting , 2017 .

[12]  Zhiguo Cao,et al.  DeepCloud: Ground-Based Cloud Image Categorization Using Deep Convolutional Features , 2017, IEEE Transactions on Geoscience and Remote Sensing.

[13]  Carlos F.M. Coimbra,et al.  Cloud-tracking methodology for intra-hour DNI forecasting , 2014 .

[14]  Serge J. Belongie,et al.  Cloud motion and stability estimation for intra-hour solar forecasting , 2015 .

[15]  David Pozo-Vázquez,et al.  Automatic Cloud‐Type Classification Based On the Combined Use of a Sky Camera and a Ceilometer , 2017 .

[16]  Sandra Jung Variabilität der solaren Einstrahlung in 1-Minuten aufgelösten Strahlungszeitserien , 2015 .

[17]  Hsu-Yung Cheng,et al.  Predicting solar irradiance with all-sky image features via regression , 2013 .

[18]  R. Inman,et al.  Solar forecasting methods for renewable energy integration , 2013 .

[19]  Stefan Wilbert,et al.  Uncertainty of rotating shadowband irradiometers and Si-pyranometers including the spectral irradiance error , 2016 .

[20]  Robert Pitz-Paal,et al.  Modelling an Automatic Controller for Parabolic Trough Solar Fields under Realistic Weather Conditions , 2018 .

[21]  Reinhard Madlener,et al.  Economic merits of a state-of-the-art concentrating solar power forecasting system for participation in the Spanish electricity market , 2013 .

[22]  A. Heinle,et al.  Automatic cloud classification of whole sky images , 2010 .

[23]  Cyrill Stachniss,et al.  Cloud photogrammetry with dense stereo for fisheye cameras , 2016 .

[24]  Eckhard Lüpfert,et al.  Screening and Flagging of Solar Irradiation and Ancillary Meteorological Data , 2015 .

[25]  Fabio Del Frate,et al.  Neural Networks and Support Vector Machine Algorithms for Automatic Cloud Classification of Whole-Sky Ground-Based Images , 2015, IEEE Geoscience and Remote Sensing Letters.

[26]  Evgueni I. Kassianov,et al.  Cloud-Base-Height Estimation from Paired Ground-Based Hemispherical Observations , 2005 .

[27]  Jun Yang,et al.  A Hybrid Thresholding Algorithm for Cloud Detection on Ground-Based Color Images , 2011 .

[28]  T. Hoff,et al.  Parameterization of site-specific short-term irradiance variability , 2011 .

[29]  J. Kleissl,et al.  Chapter 8 – Overview of Solar-Forecasting Methods and a Metric for Accuracy Evaluation , 2013 .

[30]  Robert Pitz-Paal,et al.  Determination of the optimal camera distance for cloud height measurements with two all-sky imagers , 2019, Solar Energy.

[31]  P. Ineichen,et al.  A new airmass independent formulation for the Linke turbidity coefficient , 2002 .

[32]  Stefan Wilbert,et al.  Application of Whole Sky Imagers for Data Selection for Radiometer Calibration , 2016 .

[33]  Robert Pitz-Paal,et al.  Modeling beam attenuation in solar tower plants using common DNI measurements , 2016 .

[34]  George Economou,et al.  Cloud detection and classification with the use of whole-sky ground-based images , 2012 .

[35]  Robert Pitz-Paal,et al.  Cloud height and tracking accuracy of three all sky imager systems for individual clouds , 2019, Solar Energy.

[36]  Detlev Heinemann,et al.  Evaluating the spatio-temporal performance of sky-imager-based solar irradiance analysis and forecasts , 2015 .

[37]  Joshua S. Stein,et al.  The Variability Index: A New and Novel Metric for Quantifying Irradiance and PV Output Variability. , 2012 .

[38]  Hao Huang,et al.  Correlation and local feature based cloud motion estimation , 2012, MDMKDD '12.

[39]  Robert Pitz-Paal,et al.  Nowcasting of DNI Maps for the Solar Field Based on Voxel Carving and Individual 3D Cloud Objects from All Sky Images , 2018 .

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

[41]  Christian Riess,et al.  Continuous short-term irradiance forecasts using sky images , 2014 .

[42]  Jan Kleissl,et al.  Coupling sky images with radiative transfer models: a new method to estimatecloud optical depth , 2016 .