Publikation: Mixed-Integer Nonlinear Modeling and Optimization of Designing Decentralized Energy Supply Networks
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This thesis addresses the problem of designing cost-efficient decentralized energy sup- ply networks, which allow for distributed forms of energy generation. Two major contri- butions are made: A novel mathematical modeling approach of designing decentralized energy supply networks is proposed and solution strategies, in particular, those which are based on linearization, are studied and extended for practically relevant mixed-integer non- linear optimization.
We couple the energy supply of electricity and natural gas into one network and in- troduce mirco-energy-conversion technologies in order to meet the demand of heat and electricity for residential houses. A unifying modeling approach based on mixed-integer nonlinear programming is proposed, which models practical decisions, such as network expansion, technology distribution and energy-efficient house renovation, and takes into account the nonlinear physical law of energy flows. The complexity of the problem poses a considerably computational challenge.
We exploit the particular structure of our problem formulation and develop tailored solution methods with linearization techniques. Both approximation and relaxation of non- convex functions are considered based on mixed-integer formulations of piecewise linear functions. Extensive computational studies are presented, showing their numerical perfor- mance for solving nonconvex MINLP problems.
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LU, Jianjie, 2023. Mixed-Integer Nonlinear Modeling and Optimization of Designing Decentralized Energy Supply Networks [Dissertation]. Konstanz: University of KonstanzBibTex
@phdthesis{Lu2023Mixed-66189, year={2023}, title={Mixed-Integer Nonlinear Modeling and Optimization of Designing Decentralized Energy Supply Networks}, author={Lu, Jianjie}, address={Konstanz}, school={Universität Konstanz} }
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