Implementing stabilized co-simulation of strongly coupled systems using the Functional Mock-up Interface 2.0

Abstract

This paper addresses the main issue encountered with the co-simulation of coupled systems that exchange energy;i.e. the trade-off between computational performances and numerical stability. This property is first explained in details with the help of a simple generic test system for which a large oversampling with respect to the Nyquist frequency is required in order to keep a good level of accuracy. The linearly implicit stabilization method from Arnold is then implemented and tested thanks to the directional directives computation capability of the FMI for Co-simulation 2.0 standard. Some minor extensions to the standard are proposed to efficiently implement the method. When applied to the test system; it is shown that large co-simulation steps can be taken; and hence significant computation time speed-ups are observed.