A whole-year simulation study on nonlinear mixed-integer model predictive control for a thermal energy supply system with multi-use components

Bürger, Adrian; Bohlayer, Markus; Hoffmann, Sarah G.; Altmann-Dieses, Angelika; Braun, Marco; Diehl, Moritz

doi:10.1016/j.apenergy.2019.114064

Cited by 16 publications

(5 citation statements)

References 32 publications

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“…Consequently the continuous relaxation does not add any information and using blackbox branch-and-bound solvers is not advisable. This observation is confirmed by the long computing times we observe when solving (SCARP-IP) for higher numbers of intervals N in [2], and the speedup reported when the software package pycombina [4] is applied to CIA from [13] with SCIP [1].…”

Section: Switching Cost Aware Rounding As An Integer Programsupporting

confidence: 74%

Mixed-integer optimal control problems with switching costs: a shortest path approach

et al. 2020

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We investigate an extension of Mixed-Integer Optimal Control Problems by adding switching costs, which enables the penalization of chattering and extends current modeling capabilities. The decomposition approach, consisting of solving a partial outer convexification to obtain a relaxed solution and using rounding schemes to obtain a discrete-valued control can still be applied, but the rounding turns out to be difficult in the presence of switching costs or switching constraints as the underlying problem is an Integer Program. We therefore reformulate the rounding problem into a shortest path problem on a parameterized family of directed acyclic graphs (DAGs). Solving the shortest path problem then allows to minimize switching costs and still maintain approximability with respect to the tunable DAG parameter $$\theta $$ θ . We provide a proof of a runtime bound on equidistant rounding grids, where the bound is linear in time discretization granularity and polynomial in $$\theta $$ θ . The efficacy of our approach is demonstrated by a comparison with an integer programming approach on a benchmark problem.

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Section: Switching Cost Aware Rounding As An Integer Programsupporting

confidence: 74%

Mixed-integer optimal control problems with switching costs: a shortest path approach

et al. 2020

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“…Therefore, this chapter applies the optimal combination weighting method, combines the subjective evaluation method and the objective evaluation method, fully highlights the differences between the evaluation objects, and adjusts the weights of the evaluation objects reasonably, making the evaluation results more scientific and reasonable. The specific construction ideas are as follows [9][10] :…”

Section: Construction Of An Evaluation Model For the Role Of Energy S...mentioning

confidence: 99%

The Current Situation and Development of Electric Vehicle Energy Supply Facilities Construction Based on Structural Changes

2022

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With the development of the economy, the number of automobiles in our country has grown steadily. The development of the automobile industry has increased people's consumption of fuel, and at the same time, the energy crisis and environmental pollution have also increased. Electricity is a clean energy, and new energy vehicles, especially clean electric vehicles, are an environmentally friendly future option. This paper aims to study the current situation and development of electric vehicle energy supply facilities construction based on structural changes . This paper analyzes the current situation of China's energy supply structure. On the basis of defining the concepts of energy supply structure and low carbonization, the present situation of China's energy resource endowment and supply structure is analyzed, and the problems existing in China's energy supply structure are discussed in depth . This paper summarizes the development status of electric vehicle power supply mode at home and abroad, and combines the practical application of domestic electric vehicle power supply mode, using SWOT analysis, demand analysis, consumer behavior theory and business gap analysis and demonstration. Through the analysis of the advantages and disadvantages, advantages and threats of the development of electric vehicles, people pay attention to the economy and practicability of using electric vehicles, and the three power supply methods have adopted the whole-vehicle electrification method. Research and compare the charging operation mode, conventional charging mode and mechanical charging mode, and finally propose a business model that conforms to the development of the industry according to the actual situation in my country. Experiments have proved that the effective utilization rate of the distribution of energy supply facilities simulated in this paper can reach more than 95%, and after the structural changes in this paper, the carbon emissions will change from the original estimated 35 billion tons to the current one in the next 20 years. 18 billion tons or so.

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“…Finally, heat noise termsQ n,a,k ,Q n,c,k , k = 1, ..., n r are introduced to the model to depict unknown influences from, for example, occupancy and air exchange, of which no data are available. Similar to (15), these are regarded as states which are estimated during operation, while their development is described by…”

Section: Room Modelmentioning

confidence: 99%

Experimental operation of a solar‐driven climate system with thermal energy storages using mixed‐integer nonlinear model predictive control

Bürger

Bull

Sawant

et al. 2021

Optim Control Appl Methods

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This work presents the results of experimental operation of a solar-driven climate system using mixed-integer nonlinear model predictive control (MPC).The system is installed in a university building and consists of two solar thermal collector fields, an adsorption cooling machine with different operation modes, a stratified hot water storage with multiple inlets and outlets as well as a cold water storage. The system and the applied modeling approach is described and a parallelized algorithm for mixed-integer nonlinear MPC and a corresponding implementation for the system are presented. Finally, we show and discuss the results of experimental operation of the system and highlight the advantages of the mixed-integer nonlinear MPC application. K E Y W O R D Sexperimental study, mixed-integer nonlinear programming, model predictive control, renewable energy systems, solar thermal climate systemsThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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A whole-year simulation study on nonlinear mixed-integer model predictive control for a thermal energy supply system with multi-use components

Cited by 16 publications

References 32 publications

Mixed-integer optimal control problems with switching costs: a shortest path approach

Mixed-integer optimal control problems with switching costs: a shortest path approach

The Current Situation and Development of Electric Vehicle Energy Supply Facilities Construction Based on Structural Changes

Experimental operation of a solar‐driven climate system with thermal energy storages using mixed‐integer nonlinear model predictive control

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