Robust Scheduling of Integrated Electricity and Heating System Hedging Heating Network Uncertainties

The coordinated operation of an integrated electricity and heating system (IEHS) can improve overall energy efficiency and provide additional flexibility. However, the inherent uncertainties pertaining to pipeline parameters and ambient temperature in a district heating network (DHN) have not been addressed in the literature, although such uncertainties could affect the quality or even security of IEHS operation. To address this issue, we propose a two-stage robust IEHS scheduling model that considers the uncertainties of the heat load, ambient temperature and heat dissipation coefficients of heating pipelines. The proposed model embedded with bilinear terms is equivalently transformed via the big-M method into an adaptive linear robust optimization problem that can be solved by the column-and-constraint generation (C&CG) algorithm. Case studies are conducted for two test systems. The simulation results show that the proposed method can effectively handle the uncertainties in DHN and improve the robustness of the IEHS.

[1]  Bahram Gharabaghi,et al.  A reliable linear stochastic daily soil temperature forecast model , 2019, Soil and Tillage Research.

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

[3]  Yongpei Guan,et al.  Two-Stage Minimax Regret Robust Unit Commitment , 2013, IEEE Transactions on Power Systems.

[4]  Q. H. Wu,et al.  Multi-objective optimization and decision making for power dispatch of a large-scale integrated energy system with distributed DHCs embedded , 2015 .

[5]  Arkadi Nemirovski,et al.  Robust Convex Optimization , 1998, Math. Oper. Res..

[6]  Pierluigi Mancarella,et al.  Energy Systems Integration in Smart Districts: Robust Optimisation of Multi-Energy Flows in Integrated Electricity, Heat and Gas Networks , 2019, IEEE Transactions on Smart Grid.

[7]  Ruiwei Jiang,et al.  Benders' decomposition for the two-stage security constrained robust unit commitment problem , 2012 .

[8]  Jinbo Huang,et al.  Coordinated dispatch of electric power and district heating networks: A decentralized solution using optimality condition decomposition , 2017 .

[9]  Melvyn Sim,et al.  The Price of Robustness , 2004, Oper. Res..

[10]  Katta G. Murty,et al.  Some NP-complete problems in linear programming , 1982, Oper. Res. Lett..

[11]  Xue Yali,et al.  Dynamic temperature model of district heating system based on operation data , 2019 .

[12]  Wang Jun,et al.  Optimal operation for integrated energy system considering thermal inertia of district heating network and buildings , 2017 .

[13]  Dan Wang,et al.  Optimal scheduling strategy of district integrated heat and power system with wind power and multiple energy stations considering thermal inertia of buildings under different heating regulation modes , 2019, Applied Energy.

[14]  Jose M. Arroyo,et al.  Energy and Reserve Scheduling Under a Joint Generation and Transmission Security Criterion: An Adjustable Robust Optimization Approach , 2014, IEEE Transactions on Power Systems.

[15]  Shuai Lu,et al.  Coordinated dispatch of multi-energy system with district heating network: Modeling and solution strategy , 2018, Energy.

[16]  Hiroshi Konno,et al.  A cutting plane algorithm for solving bilinear programs , 1976, Math. Program..

[17]  Ping Jiang,et al.  Combined Economic Dispatch Considering the Time-Delay of District Heating Network and Multi-Regional Indoor Temperature Control , 2018, IEEE Transactions on Sustainable Energy.

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

[19]  Mosayeb Bornapour,et al.  Optimal coordinated scheduling of combined heat and power fuel cell, wind, and photovoltaic units in micro grids considering uncertainties , 2016 .

[20]  R. A. Jabr,et al.  Robust Transmission Network Expansion Planning With Uncertain Renewable Generation and Loads , 2013, IEEE Transactions on Power Systems.

[21]  Mohammad Shahidehpour,et al.  Combined Heat and Power Dispatch Considering Pipeline Energy Storage of District Heating Network , 2016, IEEE Transactions on Sustainable Energy.

[22]  P. Subbaraj,et al.  Enhancement of combined heat and power economic dispatch using self adaptive real-coded genetic algorithm , 2009 .

[23]  Jan-Olof Dalenbäck,et al.  Potential of residential buildings as thermal energy storage in district heating systems – Results from a pilot test , 2015 .

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

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

[26]  Tara L. Terry,et al.  Robust Linear Optimization With Recourse , 2009 .

[27]  Alvaro Lorca,et al.  Adaptive Robust Optimization With Dynamic Uncertainty Sets for Multi-Period Economic Dispatch Under Significant Wind , 2014, IEEE Transactions on Power Systems.

[28]  Yong Min,et al.  Dispatch Model of Combined Heat and Power Plant Considering Heat Transfer Process , 2017, IEEE Transactions on Sustainable Energy.

[29]  Ali Reza Seifi,et al.  Probabilistic energy flow for multi-carrier energy systems , 2018, Renewable and Sustainable Energy Reviews.

[30]  F. Haghighat,et al.  Integration of storage and renewable energy into district heating systems: A review of modelling and optimization , 2016 .

[31]  Risto Lahdelma,et al.  Evaluation of a multiple linear regression model and SARIMA model in forecasting heat demand for district heating system , 2016 .

[32]  Hongping Zhao,et al.  Analysis, modelling and operational optimization of district heating systems , 1995 .

[33]  Boming Zhang,et al.  Transmission-Constrained Unit Commitment Considering Combined Electricity and District Heating Networks , 2016, IEEE Transactions on Sustainable Energy.

[34]  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.

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

[36]  A. Conejo,et al.  Offering Strategy Via Robust Optimization , 2011, IEEE Transactions on Power Systems.

[37]  A. Benonysson,et al.  Dynamic modelling and operational optimization of district heating systems , 1991 .

[38]  Raquel García-Bertrand,et al.  Robust Transmission Network Expansion Planning in Energy Systems: Improving Computational Performance , 2015, Eur. J. Oper. Res..

[39]  Jianing Zhao,et al.  Effects of the operation regulation modes of district heating system on an integrated heat and power dispatch system for wind power integration , 2018, Applied Energy.

[40]  Shuli Liu,et al.  A state of art review on the district heating systems , 2018, Renewable and Sustainable Energy Reviews.

[41]  Pierluigi Mancarella,et al.  Integrated Dispatch Model for Combined Heat and Power Plant With Phase-Change Thermal Energy Storage Considering Heat Transfer Process , 2018, IEEE Transactions on Sustainable Energy.

[42]  B. Mohammadi-ivatloo,et al.  Combined heat and power economic dispatch problem solution using particle swarm optimization with ti , 2013 .

[43]  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.

[44]  Tara L. Terry Robust linear optimization with recourse: Solution methods and other properties , 2009 .

[45]  Efstratios N. Pistikopoulos,et al.  C.A. Floudas, Nonlinear and Mixed-Integer Optimization. Fundamentals and Applications , 1998, J. Glob. Optim..

[46]  Kody M. Powell,et al.  Heating, cooling, and electrical load forecasting for a large-scale district energy system , 2014 .

[47]  A. Chassein,et al.  Min-Max Regret Problems with Ellipsoidal Uncertainty Sets , 2016 .

[48]  Yuwei Chen,et al.  Decentralized Unit Commitment in Integrated Heat and Electricity Systems Using SDM-GS-ALM , 2019, IEEE Transactions on Power Systems.

[49]  Boming Zhang,et al.  Decentralized Solution for Combined Heat and Power Dispatch Through Benders Decomposition , 2017, IEEE Transactions on Sustainable Energy.

[50]  Yi Ding,et al.  Modeling and Integration of Flexible Demand in Heat and Electricity Integrated Energy System , 2018, IEEE Transactions on Sustainable Energy.

[51]  A. Ben-Tal,et al.  Adjustable robust solutions of uncertain linear programs , 2004, Math. Program..