Conference article

Steady State Initialization of Vapor Compression Cycles Using the Homotopy Operator

Christian Schulze
TLK-Thermo GmbH, Germany

Andreas Varchmin
TLK-Thermo GmbH, Germany

Wilhelm Tegethoff
Institut für Thermodynamik, University of Braunschweig, Germany

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Published in: Proceedings of the 13th International Modelica Conference, Regensburg, Germany, March 4–6, 2019

Linköping Electronic Conference Proceedings 157:52, p. 10

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Published: 2019-02-01

ISBN: 978-91-7685-122-7

ISSN: 1650-3686 (print), 1650-3740 (online)


This paper presents a concept how a hybrid DAE of a vapor compression cycle can be initialized in steady state using the homotopy method. A simplified equation system for a vapor compression cycle is described and its computational causality explained. It is discussed how additional boundary conditions can be applied to the simplified equation system, which do not apply to the actual equation system. The robustness and CPU time for different cases is examined and discussed based on transition plots.


Vapor Compression Cycle, Homotopy, TIL, ThermalSystems


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