New Type Power System and the Integrated Energy

Probabilistic Forecasting of Wind Power Generation Using Online LASSO VAR and EGARCH Model

Expand
  • School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 2021-09-26

  Revised date: 2021-12-20

  Accepted date: 2021-12-31

  Online published: 2023-04-23

Abstract

Wind power generation has uncertainty due to the high fluctuation of wind speed. In traditional wind power prediction models, the uncertainty is measured by normal distribution with zero mean and constant variance. However, the variance may vary with time, which means the variance has heteroscedasticity. To improve the prediction accuracy, this paper proposes a new integrated probabilistic wind power prediction model for wind farm considering heteroscedasticity based on online least absolute shrinkage and selection operator and vector autoregression (LASSO VAR) and the exponential generalized autoregressive conditional heteroskedasticity (EGARCH) model. First, online LASSO VAR is used to forecast power output. Then, heteroscedasticity of residuals is validated by autoregressive conditional heteroskedasticity test. Considering heteroscedasticity, the news impact curve and dynamic significance line verify that positive and negative residuals affect future volatility asymmetrically. Thus, the EGARCH model is used to forecast the residuals to obtain the conditional variance of point prediction results. Finally, the probabilistic result of total power output is obtained by summing the power output of turbines in the wind farm considering the correlation of the active wind power of wind turbines. This method is applied to forecast the power output of a wind farm in East China and is proved effective in improving the prediction accuracy.

Cite this article

WANG Peng, LI Yanting, ZHANG Yu . Probabilistic Forecasting of Wind Power Generation Using Online LASSO VAR and EGARCH Model[J]. Journal of Shanghai Jiaotong University, 2023 , 57(7) : 845 -858 . DOI: 10.16183/j.cnki.jsjtu.2021.377

References

[1] Global Wind Energy Council. Global wind report 2022[R/OL]. (2022-12-31)[2023-02-16]. https://gwec.net/global-wind-report-2022/.
[2] LANDBERG L, WATSON S J. Short-term prediction of local wind conditions[J]. Boundary-Layer Meteorology, 1994, 70(1): 171-195.
[3] FOCKEN U, LANGE M, WALDL H. Previento-A wind power prediction system with an innovative upscaling algorithm[C/OL]. (2001-01-01)[2021-07-30]. https://www.researchgate.net/publication/250448566_Previento_-_A_Wind_Power_Prediction_System_with_an_Innovative_Upscaling_Algorithm.
[4] 方江晓, 周晖, 黄梅, 等. 基于统计聚类分析的短期风电功率预测[J]. 电力系统保护与控制, 2011, 39(11): 67-73.
[4] FANG Jiangxiao, ZHOU Hui, HUANG Mei, et al. Short-term wind power prediction based on statistical clustering analysis[J]. Power System Protection & Control, 2011, 39(11): 67-73.
[5] AASIM, SINGH S N, MOHAPATRA A, Repeated wavelet transform based ARIMA model for very short-term wind speed forecasting[J]. Renewable Energy, 2019, 136: 758-768.
[6] YANG D Z. On post-processing day-ahead NWP forecasts using Kalman filtering[J]. Solar Energy, 2019, 182: 179-181.
[7] 戚创创, 王向文. 考虑风向和大气稳定度的海上风电功率短期预测[J]. 电网技术, 2021, 45(7): 2773-2780.
[7] QI Chuangchuang, WANG Xiangwen. Short-term prediction of offshore wind power considering wind direction and atmospheric stability[J]. Power System Technology, 2021, 45(7): 2773-2780.
[8] 李永刚, 王月, 刘丰瑞, 等. 基于Stacking融合的短期风速预测组合模型[J]. 电网技术, 2020, 44(8): 2875-2882.
[8] LI Yonggang, WANG Yue, LIU Fengrui, et al. Combination model of short-term wind speed prediction based on stacking fusion[J]. Power System Technology, 2020, 44(8): 2875-2882.
[9] WANG Y, HU Q H, MENG D Y, et al. Deterministic and probabilistic wind power forecasting using a variational Bayesian-based adaptive robust multi-Kernel regression model[J]. Applied Energy, 2017, 208: 1097-1112.
[10] 李洪涛, 马志勇, 芮晓明. 基于数值天气预报的风能预测系统[J]. 中国电力, 2012, 45(2): 64-68.
[10] LI Hongtao, MA Zhiyong, RUI Xiaoming. Forecasting system based on numerical weather prediction[J]. Electric Power, 2012, 45(2): 64-68.
[11] OKUMUS I, DINLER A. Current status of wind energy forecasting and a hybrid method for hourly predictions[J]. Energy Conversion and Management, 2016, 123: 362-371.
[12] 钱政, 裴岩, 曹利宵, 等. 风电功率预测方法综述[J]. 高电压技术, 2016, 42(4): 1047-1060.
[12] QIAN Zheng, PEI Yan, Cao Lixiao, et al. Review of wind power forecasting method[J]. High Voltage Engineering, 2016, 42(4): 1047-1060.
[13] DOWELL J, PINSON P. Very-short-term probabilistic wind power forecasts by sparse vector autoregression[J]. IEEE Transactions on Smart Grid, 2016, 7(2): 763-770.
[14] MESSNER J, PINSON P. Online adaptive lasso estimation in vector autoregressive models for high dimensional wind power forecasting[J]. International Journal of Forecasting, 2019, 35(4): 1485-1498.
[15] LANGE M. On the uncertainty of wind power predictions-Analysis of the forecast accuracy and statistical distribution of errors[J]. Journal of Solar Energy Engineering, 2005, 127(2): 177-184.
[16] 刘兴杰, 谢春雨. 基于贝塔分布的风电功率波动区间估计[J]. 电力自动化设备, 2014, 34(12): 26-30.
[16] LIU Xingjie, XIE Chunyu. Wind power fluctuation interval estimation based on beta distribution[J]. Electric Power Automation Equipment, 2014, 34(12): 26-30.
[17] 李海燕. 基于数据挖掘与非线性分位数回归的风电功率概率密度预测方法[D]. 合肥: 合肥工业大学, 2018.
[17] LI Haiyan. Wind power probability density forecasting method based on data mining and non-linear quantile regression[D]. Hefei: Hefei University of Technology, 2018.
[18] ZHANG Y, LIU K, QIN L, et al. Deterministic and probabilistic interval prediction for short-term wind power generation based on variational mode decomposition and machine learning methods[J]. Energy Conversion & Management, 2016, 112: 208-219.
[19] QIN X, CAO L, RUNDENSTEINER E A, et al. Scalable kernel density estimation-based local outlier detection over large data streams[J]. Advances in Database Technology-EDBT, 2019, 3: 421-432.
[20] SLOUGHTER J M, GNEITING T, RAFTERY A E. Probabilistic wind speed forecasting using ensembles and Bayesian model averaging[J]. Journal of the American Statistical Association, 2010, 105(489): 25-35.
[21] WANG G, JIA R, LIU J, et al. A hybrid wind power forecasting approach based on Bayesian model averaging and ensemble learning[J]. Renewable Energy, 2020, 145: 2426-2434.
[22] 刘帅, 朱永利, 张科, 等. 基于误差修正ARMA-GARCH模型的短期风电功率预测[J]. 太阳能学报, 2020, 41(10): 268-275.
[22] LIU Shuai, ZHU Yongli, ZHANG Ke, et al. Short-term wind power forecasting based on error correction arma-garch model[J]. Acta Energiae Solaris Sinica, 2020, 41(10): 268-275.
[23] 李力行, 苗世洪, 涂青宇, 等. 考虑异方差效应的风电不确定性建模及其在调度中的应用[J]. 电力系统自动化, 2020, 44(8): 36-47.
[23] LI Lixing, MIAO Shihong, TU Qingyu, et al. Modelling of wind power uncertainty considering heteroskedasticity effect and its application in power system dispatching[J]. Automation of Electric Power Systems, 2020, 44(8): 36-47.
[24] POGGI P, MUSELLI M, NOTTON G, et al. Forecasting and simulating wind speed in Corsica by using an autoregressive model[J]. Energy Conversion & Management, 2003, 44(20): 3177-3196.
[25] 孙春顺, 王耀南, 李欣然. 小时风速的向量自回归模型及应用[J]. 中国电机工程学报, 2008, 28(14): 112-117.
[25] SUN Chunshun, WANG Yaonan, LI Xinran. A vector autoregression model of hourly wind speed and its applications in hourly wind speed forecasting[J]. Proceedings of the CSEE, 2008, 28(14): 112-117.
[26] CAVALCANTE L, BESSA R J, REIS M, et al. LASSO vector autoregression structures for very short-term wind power forecasting[J]. Wind Energy, 2017, 20(4): 657-675.
[27] FRIEDMAN J, HASTIE T, H?FLING H, et al. Pathwise coordinate optimization[J]. The Annals of Applied Statistics, 2007, 1(2): 302-332.
[28] MESSNER J W, PINSON P. Online adaptive lasso estimation in vector autoregressive models for high dimensional wind power forecasting[J]. International Journal of Forecasting, 2019, 35(4): 1485-1498.
[29] 朱金蝶. 回归模型中异方差检验方法研究[D]. 太原: 山西大学, 2019.
[29] ZHU Jindie. Study on the methods of testing heteroscedasticity in regression model[D]. Taiyuan: Shanxi University, 2019.
[30] ENGLE R F. Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation[J]. Econometrica, 1982, 50(4): 987.
[31] BOLLERSLEV T. Generalized autoregressive conditional heteroskedasticity[J]. Journal of Econometrics, 1986, 31(3): 307-327.
[32] BLACK F. Studies of stock market volatility changes[J]. Proceedings of the American Statistical Association Business & Economic Statistics Section, 1976, 177-181.
[33] NELSON D B. Conditional heteroskedasticity in asset returns: A new approach[J]. Econometrica, 1991, 59(2): 347-370.
[34] HAFNER C M, LINTON O. An almost closed form estimator for the egarch model[J]. Econometric Theory, 2017, 33(4): 1013-1038.
[35] BERNDT E K, HALL B H, et al. Annals of economic and social measurement[M]. USA: NBER, 1974: 653-665.
[36] WANG Z, WANG W S, LIU C, et al. Probabilistic forecast for multiple wind farms based on regular vine copulas[J]. IEEE Transactions on Power Systems, 2018, 33(1): 578-589.
[37] GRIMIT E P, GNEITING T, BERROCAL V J, et al. The continuous ranked probability score for circular variables and its application to mesoscale forecast ensemble verification[J]. Quarterly Journal of the Royal Meteorological Society, 2006, 132(621C): 2925-2942.
[38] CHEN H, GAO S. A study on the structure of asymmetric volatility in load series[C]// 2008 Third International Conference on Electric Utility Deregulation and Restructuring and Power Technologies. Nanjing, China: IEEE, 2008: 737-744.
[39] 张晓英, 张晓敏, 廖顺, 等. 基于聚类与非参数核密度估计的风电功率预测误差分析[J]. 太阳能学报, 2019, 40(12): 3594-3604.
[39] ZHANG Xiaoying, ZHANG Xiaomin, LIAO Shun, et al. Prediction error analysis of wind power based on clustering and non-parametric kernel density estimation[J]. Acta Energiae Solaris Sinica, 2019, 40(12): 3594-3604.
[40] MEINSHAUSEN N, RIDGEWAY G. Quantile regression forests[J]. Journal of Machine Learning Research, 2006, 7(6): 983-999.
Outlines

/