Addressing the Conditional and Correlated Wind Power Forecast Errors in Unit Commitment by Distributionally Robust Optimization

[1]  Robin Girard,et al.  Probabilistic Models for Spatio-Temporal Photovoltaic Power Forecasting , 2019, IEEE Transactions on Sustainable Energy.

[2]  Hugh Rudnick,et al.  An Efficient Forecasting-Optimization Scheme for the Intraday Unit Commitment Process Under Significant Wind and Solar Power , 2018, IEEE Transactions on Sustainable Energy.

[3]  D. Bertsimas,et al.  Moment Problems and Semidefinite Optimization , 2000 .

[4]  Mark O'Malley,et al.  Impact of Wind Forecast Error Statistics Upon Unit Commitment , 2012, IEEE Transactions on Sustainable Energy.

[5]  Bo Zeng,et al.  Robust unit commitment problem with demand response and wind energy , 2012, PES 2012.

[6]  Lei Fan,et al.  A Data-Driven Model of Virtual Power Plants in Day-Ahead Unit Commitment , 2019, IEEE Transactions on Power Systems.

[7]  R. Freund Introduction to Semidefinite Programming ( SDP ) , 2004 .

[8]  Raquel García-Bertrand,et al.  Robust Transmission Network Expansion Planning Under Correlated Uncertainty , 2015, IEEE Transactions on Power Systems.

[9]  S. Mei,et al.  Distributionally Robust Co-Optimization of Energy and Reserve Dispatch , 2016, IEEE Transactions on Sustainable Energy.

[10]  Jitka Dupacová,et al.  Scenario reduction in stochastic programming , 2003, Math. Program..

[11]  Yongpei Guan,et al.  Data-Driven Stochastic Unit Commitment for Integrating Wind Generation , 2016, IEEE Transactions on Power Systems.

[12]  Shengwei Mei,et al.  Distributionally robust hydro-thermal-wind economic dispatch , 2016 .

[13]  Xiaoqing Bai,et al.  Wasserstein Metric Based Distributionally Robust Approximate Framework for Unit Commitment , 2019, IEEE Transactions on Power Systems.

[14]  Daniel Kuhn,et al.  Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations , 2015, Mathematical Programming.

[15]  Constantine Caramanis,et al.  Theory and Applications of Robust Optimization , 2010, SIAM Rev..

[16]  Jun Liu,et al.  Data-Driven Affinely Adjustable Distributionally Robust Unit Commitment , 2018, IEEE Transactions on Power Systems.

[17]  Mohammad Jafari Jozani,et al.  Wind Turbine Power Curve Modeling Using Advanced Parametric and Nonparametric Methods , 2014, IEEE Transactions on Sustainable Energy.

[18]  Yinyu Ye,et al.  Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems , 2010, Oper. Res..

[19]  Xu Andy Sun,et al.  Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem , 2013, IEEE Transactions on Power Systems.

[20]  Jianhui Wang,et al.  Time Adaptive Conditional Kernel Density Estimation for Wind Power Forecasting , 2012, IEEE Transactions on Sustainable Energy.

[21]  Xuan Vinh Doan,et al.  Models for Minimax Stochastic Linear Optimization Problems with Risk Aversion , 2010, Math. Oper. Res..

[22]  Farrokh Aminifar,et al.  Tri-Level Robust Investment Planning of DERs in Distribution Networks With AC Constraints , 2019, IEEE Transactions on Power Systems.

[23]  Chanan Singh,et al.  A Distributionally Robust Optimization Model for Unit Commitment Considering Uncertain Wind Power Generation , 2017, IEEE Transactions on Power Systems.

[24]  Alexandre Street,et al.  Two-Stage Robust Unit Commitment for Co-Optimized Electricity Markets: An Adaptive Data-Driven Approach for Scenario-Based Uncertainty Sets , 2020, IEEE Transactions on Sustainable Energy.

[25]  Haoyong Chen,et al.  Data-Driven Distributionally Robust Unit Commitment With Wasserstein Metric: Tractable Formulation and Efficient Solution Method , 2020, IEEE Transactions on Power Systems.

[26]  Hongbin Sun,et al.  A Distributionally Robust Optimization Model for Unit Commitment Based on Kullback–Leibler Divergence , 2018, IEEE Transactions on Power Systems.

[27]  Zuyi Li,et al.  Intra-Interval Security Assessment in Power Systems With High Wind Penetration , 2019, IEEE Transactions on Sustainable Energy.

[28]  Xu Andy Sun,et al.  Multistage Robust Unit Commitment With Dynamic Uncertainty Sets and Energy Storage , 2016, IEEE Transactions on Power Systems.

[29]  R. Tibshirani,et al.  PATHWISE COORDINATE OPTIMIZATION , 2007, 0708.1485.

[30]  Bri-Mathias Hodge,et al.  Quantifying the Economic and Grid Reliability Impacts of Improved Wind Power Forecasting , 2016, IEEE Transactions on Sustainable Energy.

[31]  Long Zhao,et al.  Solving two-stage robust optimization problems using a column-and-constraint generation method , 2013, Oper. Res. Lett..

[32]  U. D. Annakkage,et al.  Prediction of the Transient Stability Boundary Using the Lasso , 2013, IEEE Transactions on Power Systems.