Power Systems Flexibility from District Heating Networks

Coupling heat and electricity systems can improve the overall flexibility of the energy system and facilitate the large-scale penetration of renewable energy sources. In order to optimally exploit the operational flexibility of District Heating Networks (DHN), we introduce a novel mixed integer nonlinear formulation of the combined heat and power dispatch, accounting for pipeline energy storage. To cope with the non-convexities and computational complexity of this model we propose mixed integer convex quadratic and mixed integer linear relaxations. The proposed model is implemented on a six-bus electricity and three-node district heating network and compared to a conventional economic dispatch model, in order to evaluate the impact of the DHN on the power system.

[1]  Steven H. Low,et al.  Convex Relaxation of Optimal Power Flow—Part I: Formulations and Equivalence , 2014, IEEE Transactions on Control of Network Systems.

[2]  Risto Lahdelma,et al.  An efficient linear programming algorithm for combined heat and power production , 2003, Eur. J. Oper. Res..

[3]  W.L. Kling,et al.  Impacts of Wind Power on Thermal Generation Unit Commitment and Dispatch , 2007, IEEE Transactions on Energy Conversion.

[4]  James R. Luedtke,et al.  Some results on the strength of relaxations of multilinear functions , 2012, Math. Program..

[5]  C. Mondon,et al.  Predictive Control of a Complex District Heating Network , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

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

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

[8]  Hui Li,et al.  Increasing the Flexibility of Combined Heat and Power for Wind Power Integration in China: Modeling and Implications , 2015, IEEE Transactions on Power Systems.

[9]  Henrik Madsen,et al.  Commitment and dispatch of heat and power units via affinely adjustable robust optimization , 2015, Comput. Oper. Res..

[10]  Henrik Madsen,et al.  Energy Comes Together in Denmark: The Key to a Future Fossil-Free Danish Power System , 2013, IEEE Power and Energy Magazine.

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

[12]  Manfred Morari,et al.  Policy-Based Reserves for Power Systems , 2012, IEEE Transactions on Power Systems.

[13]  Yile Liang,et al.  Distributed Optimal Gas-Power Flow Using Convex Optimization and ADMM , 2016, 1610.04681.

[14]  Brian Vad Mathiesen,et al.  The role of district heating in future renewable energy systems , 2010 .

[15]  Pascal Van Hentenryck,et al.  Convex quadratic relaxations for mixed-integer nonlinear programs in power systems , 2016, Mathematical Programming Computation.

[16]  Russell Bent,et al.  Convex Relaxations for Gas Expansion Planning , 2015, INFORMS J. Comput..

[17]  Pierre Pinson,et al.  Towards fully renewable energy systems - Experience and trends in Denmark , 2017 .

[18]  Risto Lahdelma,et al.  A dynamic regrouping based sequential dynamic programming algorithm for unit commitment of combined heat and power systems , 2009 .

[19]  Sven Leyffer,et al.  Solving mixed integer nonlinear programs by outer approximation , 1994, Math. Program..

[20]  I. Grossmann,et al.  A combined penalty function and outer-approximation method for MINLP optimization : applications to distillation column design , 1989 .

[21]  Garth P. McCormick,et al.  Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems , 1976, Math. Program..

[22]  Steven H. Low,et al.  Convex Relaxation of Optimal Power Flow—Part II: Exactness , 2014, IEEE Transactions on Control of Network Systems.

[23]  Ignacio E. Grossmann,et al.  An outer-approximation algorithm for a class of mixed-integer nonlinear programs , 1987, Math. Program..