Evaluating stochastic methods in power system operations with wind power

Wind power is playing an increasingly important role in electricity markets. However, it's inherent variability and uncertainty cause operational challenges and costs as more operating reserves are needed to maintain system reliability. Several operational strategies have been proposed to address these challenges, including advanced probabilistic wind forecasting techniques, dynamic operating reserves, and various unit commitment (UC) and economic dispatch (ED) strategies under uncertainty. This paper presents a consistent framework to evaluate different operational strategies in power system operations with renewable energy. We use conditional Kernel Density Estimation (KDE) for probabilistic wind power forecasting. Forecast scenarios are generated considering spatio-temporal correlations, and further reduced to lower the computational burden. Scenario-based stochastic programming with different decomposition techniques and interval optimization are tested to examine economic, reliability, and computational performance compared to deterministic UC/ED benchmarks. We present numerical results for a modified IEEE-118 bus system with realistic system load and wind data.

[1]  Yongpei Guan,et al.  Unified Stochastic and Robust Unit Commitment , 2013, IEEE Transactions on Power Systems.

[2]  Lei Wu An Improved Decomposition Framework for Accelerating LSF and BD Based Methods for Network-Constrained UC Problems , 2013, IEEE Transactions on Power Systems.

[3]  Javier Contreras,et al.  A Chance-Constrained Unit Commitment With an $n-K$ Security Criterion and Significant Wind Generation , 2013, IEEE Transactions on Power Systems.

[4]  Ruiwei Jiang,et al.  Robust Unit Commitment With Wind Power and Pumped Storage Hydro , 2012, IEEE Transactions on Power Systems.

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

[6]  G. Papaefthymiou,et al.  Modeling of Spatial Dependence in Wind Power Forecast Uncertainty , 2008, Proceedings of the 10th International Conference on Probablistic Methods Applied to Power Systems.

[7]  Dissertação De Mestrado Apresentada,et al.  WIND POWER FORECASTING UNCERTAINTY AND UNIT COMMITMENT , 2014 .

[8]  A. Papavasiliou,et al.  Reserve Requirements for Wind Power Integration: A Scenario-Based Stochastic Programming Framework , 2011, IEEE Transactions on Power Systems.

[9]  Yuping Huang,et al.  Two-stage stochastic unit commitment model including non-generation resources with conditional value-at-risk constraints , 2014 .

[10]  Vladimiro Miranda,et al.  Wind power forecasting : state-of-the-art 2009. , 2009 .

[11]  Daniel S. Kirschen,et al.  Effect of time resolution on unit commitment decisions in systems with high wind penetration , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[12]  Daniel Kirschen,et al.  Comparison of scenario reduction techniques for the stochastic unit commitment , 2014, 2014 IEEE PES General Meeting | Conference & Exposition.

[13]  Jesús María Latorre Canteli,et al.  Tight and compact MILP formulation for the thermal unit commitment problem , 2013 .

[14]  Vladimiro Miranda,et al.  Application of probabilistic wind power forecasting in electricity markets , 2013 .

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

[16]  N. Growe-Kuska,et al.  Scenario reduction and scenario tree construction for power management problems , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[17]  Daniel S. Kirschen,et al.  A Hybrid Stochastic/Interval Approach to Transmission-Constrained Unit Commitment , 2015, IEEE Transactions on Power Systems.

[18]  Brian W. Kernighan,et al.  AMPL: A Modeling Language for Mathematical Programming , 1993 .

[19]  Yang Wang,et al.  Unit Commitment With Volatile Node Injections by Using Interval Optimization , 2011, IEEE Transactions on Power Systems.

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

[21]  Vladimiro Miranda,et al.  Very Short-Term Wind Power Forecasting: State-of-the-Art , 2014 .

[22]  John R. Birge,et al.  An Improved Stochastic Unit Commitment Formulation to Accommodate Wind Uncertainty , 2016, IEEE Transactions on Power Systems.