Generation of Time-Coupled Wind Power Infeed Scenarios Using Pair-Copula Construction

被引:49
作者
Becker, Raik [1 ]
机构
[1] Helmholtz Ctr Environm Res GmbH UFZ, Dept Bioenergy, D-04318 Leipzig, Germany
关键词
Correlation; forecast uncertainty; forecasting; probability; wind energy; wind power generation; KERNEL DENSITY-ESTIMATION; PROBABILISTIC FORECASTS; PREDICTION INTERVALS; QUANTILE REGRESSION; MODEL; OPTIMIZATION;
D O I
10.1109/TSTE.2017.2782089
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Wind power forecasts for an aggregation of wind farms have become pivotal to many user groups, e.g., system operators and market actors. However, deviations from these forecasts impact system stability and energy prices in power systems with a high share of installed wind power. Hence, modeling such deviations with probabilistic wind power forecasting approaches has become more relevant. Most methods account for different look-ahead timestamps separately and neglect the temporal propagation of wind power forecast errors. This paper presents a new approach that applies the so-called pair-copula constructions or vine copulae to generate time-coupled wind power infeed scenarios for an aggregation of wind farms. By using a copula approach, the modeling of the temporal dependence structure can be separated from the modeling of the wind power uncertainty in each timestamp. A D-vine structure is proposed and compared with a C-vine and a Gaussian copula in a case study on Belgian offshore wind farms. Different pair-copula selections and estimation procedures are tested. The evaluation results appear promising, especially for D-vines.
引用
收藏
页码:1298 / 1306
页数:9
相关论文
共 35 条
[11]   Probabilistic forecasts, calibration and sharpness [J].
Gneiting, Tilmann ;
Balabdaoui, Fadoua ;
Raftery, Adrian E. .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2007, 69 :243-268
[12]   Probabilistic Forecasting [J].
Gneiting, Tilmann ;
Katzfuss, Matthias .
ANNUAL REVIEW OF STATISTICS AND ITS APPLICATION, VOL 1, 2014, 1 :125-151
[13]   Using Conditional Kernel Density Estimation for Wind Power Density Forecasting [J].
Jeon, Jooyoung ;
Taylor, James W. .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2012, 107 (497) :66-79
[14]  
Joe H., 1996, DISTRIBUTIONS FIXED, V28, P120, DOI DOI 10.1214/LNMS/1215452614
[15]   Probabilistic short-term wind power forecasting for the optimal management of wind generation [J].
Juban, Jeremie ;
Siebert, Nils ;
Kariniotakis, George N. .
2007 IEEE LAUSANNE POWERTECH, VOLS 1-5, 2007, :683-688
[16]   Prediction Intervals for Short-Term Wind Farm Power Generation Forecasts [J].
Khosravi, Abbas ;
Nahavandi, Saeid ;
Creighton, Doug .
IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, 2013, 4 (03) :602-610
[17]  
Kurowicka D, 2005, SER QUAL RELIAB ENG, V10, P309
[18]   Evaluation of bivariate Archimedean and elliptical copulas to model wind power dependency structures [J].
Louie, Henry .
WIND ENERGY, 2014, 17 (02) :225-240
[19]   Time-adaptive quantile regression [J].
Moller, Jan Kloppenborg ;
Nielsen, Henrik Aalborg ;
Madsen, Henrik .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2008, 52 (03) :1292-1303
[20]   Using quantile regression to extend an existing wind power forecasting system with probabilistic forecasts [J].
Nielsen, HA ;
Madsen, H ;
Nielsen, TS .
WIND ENERGY, 2006, 9 (1-2) :95-108