Research of Wind Power Correlation With Three Different Data Types Based on Mixed Copula

With the increasing integration of large-scale wind farms, the stochastic characteristics of wind speed and the coupling relationship of geographically distributed wind farms become ineligible. Correlation investigation of wind farms based on copula theory is able to lay good foundation for further optimization and schedule in power systems. In this paper, three data types, including wind speed, calculated wind power, and actual wind power, are applied to explore the correlation of two geographically close wind farms. After graphical analysis and comparison of the time series, the structural and compositional characteristics of correlation by different data types are investigated based on mixed copula. Moreover, a two-stage filtration method is proposed to evaluate different types of copulas. Finally, taking into account the practical conditions after careful examination of actual wind power dataset, the practical conditions are applied to the calculated wind power dataset. Correlation research based on the adjusted calculated wind power dataset is further explored and revealed that it is more practical and prospective to provide reference for further power system operation with high penetration of wind farms.

[1]  Yun Xia,et al.  A two-stage wind speed model for multiple wind farms considering autocorrelations and cross-correlations , 2016, 2016 International Conference on Probabilistic Methods Applied to Power Systems (PMAPS).

[2]  Peng Cheng,et al.  Optimal Allocation of Energy Storage System Considering Multi-Correlated Wind Farms , 2017 .

[3]  Gengfeng Li,et al.  Correlation Characteristic Analysis for Wind Speed in Different Geographical Hierarchies , 2017 .

[4]  Chongqing Kang,et al.  Modeling Conditional Forecast Error for Wind Power in Generation Scheduling , 2014, IEEE Transactions on Power Systems.

[5]  T. Y. Ji,et al.  Quasi-Monte Carlo Based Probabilistic Optimal Power Flow Considering the Correlation of Wind Speeds Using Copula Function , 2018, IEEE Transactions on Power Systems.

[6]  Weisheng Wang,et al.  Probabilistic Forecast for Multiple Wind Farms Based on Regular Vine Copulas , 2018, IEEE Transactions on Power Systems.

[7]  G. Papaefthymiou,et al.  Using Copulas for Modeling Stochastic Dependence in Power System Uncertainty Analysis , 2009 .

[8]  Jiang Wu,et al.  Modeling Dynamic Spatial Correlations of Geographically Distributed Wind Farms and Constructing Ellipsoidal Uncertainty Sets for Optimization-Based Generation Scheduling , 2015, IEEE Transactions on Sustainable Energy.

[9]  Deshun Liu,et al.  Research on power coefficient of wind turbines based on SCADA data , 2016 .

[10]  Nathaniel S. Pearre,et al.  Spatial and geographic heterogeneity of wind turbine farms for temporally decoupled power output , 2018 .

[11]  Raik Becker,et al.  Generation of Time-Coupled Wind Power Infeed Scenarios Using Pair-Copula Construction , 2018, IEEE Transactions on Sustainable Energy.

[12]  Wei Hu,et al.  Wind power uncertainty modeling considering spatial dependence based on Pair-copula theory , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[13]  Vladimiro Miranda,et al.  Time-adaptive quantile-copula for wind power probabilistic forecasting , 2012 .

[14]  Dan Zhang,et al.  A novel probabilistic wind speed forecasting based on combination of the adaptive ensemble of on-line sequential ORELM (Outlier Robust Extreme Learning Machine) and TVMCF (time-varying mixture copula function) , 2017 .

[15]  Ehab F. El-Saadany,et al.  Overview of wind power intermittency impacts on power systems , 2010 .

[16]  C. Singh,et al.  Copula Based Dependent Discrete Convolution for Power System Uncertainty Analysis , 2016, IEEE Transactions on Power Systems.

[17]  Jing Xiong,et al.  Two-Stage Compensation Algorithm for Dynamic Economic Dispatching Considering Copula Correlation of Multiwind Farms Generation , 2017, IEEE Transactions on Sustainable Energy.

[18]  R. Nelsen An Introduction to Copulas , 1998 .

[19]  Yixin Ni,et al.  A Solution of Optimal Power Flow Incorporating Wind Generation and Power Grid Uncertainties , 2018, IEEE Access.

[20]  O. Abu-Elyazeed,et al.  On the actual power coefficient by theoretical developing of the diffuser flange of wind-lens turbine , 2018, Renewable Energy.

[21]  Li Bin,et al.  Probabilistic Computational Model for Correlated Wind Farms Using Copula Theory , 2018, IEEE Access.

[22]  Xiaodong Liu,et al.  Estimation of wind turbine power coefficient by adaptive neuro-fuzzy methodology , 2017, Neurocomputing.

[23]  Zhaohong Bie,et al.  Fuzzy copula model for wind speed correlation and its application in wind curtailment evaluation , 2016 .

[24]  Jian Ma,et al.  Incorporating Uncertainty of Wind Power Generation Forecast Into Power System Operation, Dispatch, and Unit Commitment Procedures , 2011, IEEE Transactions on Sustainable Energy.

[25]  Chongqing Kang,et al.  Modelling and Simulating the Spatio-Temporal Correlations of Clustered Wind Power Using Copula , 2013 .

[26]  Jianxue Wang,et al.  Review on probabilistic forecasting of wind power generation , 2014 .

[27]  Bill Ravens,et al.  An Introduction to Copulas , 2000, Technometrics.

[28]  Weisheng Wang,et al.  Data-Driven Correction Approach to Refine Power Curve of Wind Farm Under Wind Curtailment , 2018, IEEE Transactions on Sustainable Energy.

[29]  Yurong Wang,et al.  Study and Comparison of Wind Power Correlation Using Two Types of Dataset , 2018, 2018 IEEE Power & Energy Society General Meeting (PESGM).

[30]  M. Sklar Fonctions de repartition a n dimensions et leurs marges , 1959 .