Conference article

Application of Richardson Extrapolation to the Co-Simulation of FMUs from Building Simulation

Christoph Clauß
Fraunhofer IIS EAS, Zeunerstraße 38, D-01069 Dresden, Germany

Kristin Majetta
Fraunhofer IIS EAS, Zeunerstraße 38, D-01069 Dresden, Germany

Richard Meyer
Fraunhofer IIS EAS, Zeunerstraße 38, D-01069 Dresden, Germany

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Published in: Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Linköping Electronic Conference Proceedings 132:8, p. 79-88

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Published: 2017-07-04

ISBN: 978-91-7685-575-1

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


The application of the FMI technology gains ground in building simulation. As far as specialized tools support the FMI simulator coupling becomes an important option to simulate complex building models. Co-simulation needs a master algorithm which controls the communication time steps as well as the signal exchange between FMUs. Often a constant communication step size is applied chosen by the user. The Richardson extrapolation approach allows variable master step sizes. An extension of this approach is presented, and the method is applied to both academic test examples as well as examples of building simulation which co-simulate FMUs from NANDRAD and SimulationX. Richardson extrapolation turns out to guarantee finding an appropriate step size at the prize of downgraded performance.


Building Simulation, FMI, Co-Simulation, Richardson Extrapolation, Variable Time Step Size


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