Efficient Simulation of Hybrid Systems: an Application to Electrical Power Distribution Systems

This paper presents an efficient simulation scheme for hybrid systems modeled as hybrid bond graphs (HBGs). Considerable computational savings are achieved when mode changes occur during simulation by identifying persistent causal assignments to bonds, and, consequently, fixed causal structures at HBG junctions when the simulation model is derived. Persistent causal assignments also reduce the possible computational structures across all mode changes, and this leads to an overall reduction in the complexity of the simulation models. We demonstrate the benefits of our approach for an electrical power distribution system that includes a fast switching inverter system.