Frahm, Moritz

Langner, Felix

Zwickel, Philipp

English

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www.kit.eduInstitut für Automation und angewandte InformatikKIT – Die Forschungsuniversität in der Helmholtz-GemeinschaftFlexKälte-Workshop: Flexibilisierung von KälteversorgungssystemenAutoren: Moritz Frahm, Philipp Zwickel, Felix LangnerThema: Modellierung von KälteversorgungssystemenMoritz Frahm, Philipp Zwickel, Felix Langner Institut für Automation und angewandte InformatikPower to heat/cool control of buildingsElectro-thermal building modelLumped grey-box modelConstructive white-box modelSignal forecastingOccupancy forecastingElectrical load and weather forecastingControlGrid stability, energy costs, thermal comfortModel Predictive Control (MPC)26.08.20212Introduction12Moritz Frahm, Philipp Zwickel, Felix Langner Institut für Automation und angewandte Informatik26.08.20213Lumped Electro-Thermal Building ModelIdentification resultsValidation resultsElectro-thermal building model, inspired by Harb et al. [1] and modifiedModel inputsCorresponding differential equationsComparison of the measured temperature (solid line) with the simulated temperature (dashed line)Moritz Frahm, Philipp Zwickel, Felix Langner Institut für Automation und angewandte Informatik26.08.20214Economic Model Predictive ControlModel-predictive optimal-control algorithm,based on Zwickel et al. [2] Optimization of costfunction 𝑙(𝑘, 𝑦, 𝑢)Temperature tracking Energy costTime-discrete state-space representation of linear, time-invariant building model෤𝑦 = 21°𝐶𝑦𝑚𝑖𝑛 = 18°𝐶𝑦𝑚𝑎𝑥 = 26°𝐶𝑢𝑚𝑖𝑛 = 0 𝑘𝑊𝑢𝑚𝑎𝑥 = 1 𝑘𝑊BoundariesMoritz Frahm, Philipp Zwickel, Felix Langner Institut für Automation und angewandte Informatik26.08.20215Economic Model Predictive ControlModel-predictive optimal-control algorithm,based on Zwickel et al. [2] Optimization of costfunction 𝑙(𝑘, 𝑦, 𝑢)Temperature tracking Energy costTime-discrete state-space representation of linear, time-invariant building model෤𝑦 = 21°𝐶𝑦𝑚𝑖𝑛 = 18°𝐶𝑦𝑚𝑎𝑥 = 26°𝐶𝑢𝑚𝑖𝑛 = 0 𝑘𝑊𝑢𝑚𝑎𝑥 = 1 𝑘𝑊BoundariesMoritz Frahm, Philipp Zwickel, Felix Langner Institut für Automation und angewandte InformatikEasily applicable tools for modeling and control application on various buildingssufficient accuracy of model for control (closed loop)26.08.20216Discussion & OutlookFuture workreal-world applicationrelease of open-source toolboxmodel and control complexityDirect consideration of measure-able and predict-able signalsweatherenergy priceoccupancyLimitationssimulation-based resultslinear-time-invariant modelsimplified solar signalMoritz Frahm, Philipp Zwickel, Felix Langner Institut für Automation und angewandte InformatikLiterature sources[1] Hassan Harb, Neven Boyanov, Luis Hernandez, Rita Streblow, and Dirk Müller. 2016. Development and validation of grey-box models for forecasting the thermal response of occupied buildings. Energy and Buildings 117 (2016), 199–207. https://doi.org/10.1016/j.enbuild.2016.02.021[2] Philipp Zwickel, Alexander Engelmann, Lutz Gröll, Veit Hagenmeyer, Dominique Sauer, and Timm Faulwasser. 2019. A Comparison of Economic MPC Formulations for Thermal Building Control. In 2019 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe). IEEE, 1–5. https://doi.org/10.1109/ISGTEurope.2019.8905593[3] Joel A E Andersson, Joris Gillis, Greg Horn, James B Rawlings, and Moritz Diehl. 2019. CasADi – A software framework for nonlinear optimization and optimal control. Mathematical Programming Computation 11, 1 (2019), 1–36. https://doi.org/10.1007/s12532-018-0139-4Tools Matlab System Identification toolbox: https://de.mathworks.com/help/ident/index.htmlMatlab Symbolic Math toolbox: https://de.mathworks.com/products/symbolic.htmlCasADi efficient optimal control software: https://web.casadi.org/Practical ApplicationWe are planning the release of the toolbox & paper  https://github.com/Building-Measurement-to-Control-Toolbox26.08.20217Sources, Tools and Practical Application

FlexKälte-Workshop: Flexibilisierung von Kälteversorgungssystemen

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FlexKälte-Workshop: Flexibilisierung von Kälteversorgungssystemen

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