Cooperative optimization scheduling of the electricity-gas coupled system considering wind power uncertainty via a decomposition-coordination framework

Abstract The extensive installation of gas-fired units and the integration of large-scale wind power connected to power grid have strengthened the interdependency between power system and natural gas network. Consequently, wind power uncertainty accompanying with the coupling interaction by gas-fired units has brought new challenges to the safe and economic operation of electricity-gas coupled system. A decomposition-coordination framework is developed to study the cooperative optimization operation of the integrated electricity-gas coupled system. In this framework, a data-driven distributionally robust optimization (DDRO) model is proposed to solve the power system scheduling problem with wind power uncertainty. Aiming to minimize the expectation of the operation cost under the worst-case distribution, DDRO combines the advantages of the traditional robust optimization (RO) and stochastic optimization. Case studies are implemented on two electricity-gas coupled systems of different scales to verify the effectiveness of the proposed decomposition-coordination framework with DDRO. Specifically, compared with the distributionally robust optimization (DRO) model based on moment information, the solution obtained by DDRO can save 1765.01 $ for the 6-bus power system and 2331.18 $ for the IEEE 24-bus power system, respectively. It is demonstrated that DDRO can achieve less conservative and more economic scheduling solutions compared to DRO.

[1]  Rabih A. Jabr,et al.  Robust Multi-Period OPF With Storage and Renewables , 2015, IEEE Transactions on Power Systems.

[2]  C. R. Fuerte-Esquivel,et al.  A Unified Gas and Power Flow Analysis in Natural Gas and Electricity Coupled Networks , 2012, IEEE Transactions on Power Systems.

[3]  A. Llombart,et al.  Statistical Analysis of Wind Power Forecast Error , 2008, IEEE Transactions on Power Systems.

[4]  Lingfeng Wang,et al.  A data-driven distributionally robust coordinated dispatch model for integrated power and heating systems considering wind power uncertainties , 2019, International Journal of Electrical Power & Energy Systems.

[5]  Wenyuan Li,et al.  Synergistic Operation of Electricity and Natural Gas Networks via ADMM , 2018, IEEE Transactions on Smart Grid.

[6]  Cheng Wang,et al.  Co-optimization scheduling of interdependent power and gas systems with electricity and gas uncertainties , 2018 .

[7]  Mohammad Shahidehpour,et al.  Robust Co-Optimization Scheduling of Electricity and Natural Gas Systems via ADMM , 2017, IEEE Transactions on Sustainable Energy.

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

[9]  Xi Chen,et al.  Distributionally Robust Optimization with Confidence Bands for Probability Density Functions , 2019, INFORMS J. Optim..

[10]  Chen Lu,et al.  Improved decomposition-coordination and discrete differential dynamic programming for optimization of large-scale hydropower system , 2014 .

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

[12]  Mohammad Shahidehpour,et al.  Optimal Stochastic Operation of Integrated Low-Carbon Electric Power, Natural Gas, and Heat Delivery System , 2018, IEEE Transactions on Sustainable Energy.

[13]  Tao Yao,et al.  Data-driven linear decision rule approach for distributionally robust optimization of on-line signal control , 2015 .

[14]  Chao Shang,et al.  Distributionally robust optimization for planning and scheduling under uncertainty , 2018, Comput. Chem. Eng..

[15]  David C. Yu,et al.  An Economic Dispatch Model Incorporating Wind Power , 2008, IEEE Transactions on Energy Conversion.

[16]  Jianzhong Wu,et al.  Operating Strategies for a GB Integrated Gas and Electricity Network Considering the Uncertainty in Wind Power Forecasts , 2014, IEEE Transactions on Sustainable Energy.

[17]  Boaz Golany,et al.  A multi-period unit commitment problem under a new hybrid uncertainty set for a renewable energy source , 2018 .

[18]  A. Shapiro ON DUALITY THEORY OF CONIC LINEAR PROBLEMS , 2001 .

[19]  Jian Xu,et al.  Look-Ahead Economic Dispatch With Adjustable Confidence Interval Based on a Truncated Versatile Distribution Model for Wind Power , 2018, IEEE Transactions on Power Systems.

[20]  Philip B. Stark,et al.  Finite-Sample Confidence Envelopes for Shape-Restricted Densities , 1995 .

[21]  A. M. Geoffrion Generalized Benders decomposition , 1972 .

[22]  Yi Zhang,et al.  Two-stage distributionally robust coordinated scheduling for gas-electricity integrated energy system considering wind power uncertainty and reserve capacity configuration , 2019, Renewable Energy.

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

[24]  Yongpei Guan,et al.  Uncertainty Sets for Robust Unit Commitment , 2014, IEEE Transactions on Power Systems.

[25]  Mohammad Shahidehpour,et al.  The IEEE Reliability Test System-1996. A report prepared by the Reliability Test System Task Force of the Application of Probability Methods Subcommittee , 1999 .

[26]  Vladimiro Miranda,et al.  Risk and unit commitment decisions in scenarios of wind power uncertainty , 2016 .

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

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

[29]  Hongbin Sun,et al.  Interval optimization based operating strategy for gas-electricity integrated energy systems considering demand response and wind uncertainty , 2016 .

[30]  L. Devroye,et al.  Detection of Abnormal Behavior Via Nonparametric Estimation of the Support , 1980 .

[31]  Carlos M. Correa-Posada,et al.  Integrated Power and Natural Gas Model for Energy Adequacy in Short-Term Operation , 2015, IEEE Transactions on Power Systems.

[32]  Jun Liu,et al.  Data-driven Affinely Adjustable Distributionally Robust Unit Commitment , 2018, 2018 IEEE Power & Energy Society General Meeting (PESGM).