Object-oriented modelling languages allow to build models of large, loosely coupled systems, as well as of multi-domain systems with fast and slow sub-systems easily. State-of-the-art simulation tools employ sophisticated techniques to efficiently turn the system DAEs into ODEs, but then rely on standard single-rate algorithms for the simulation of ODEs. These algorithms perform very poorly in the two above-mentioned classes of systems as their size grows, up to the point of making their simulation practically unfeasible. The goal of this paper is to introduce multi-rate algorithms with error control to the EOOLT community, showing through an exemplary case study the potential they have for the simulation of such large-scale systems.