Stochastic Simulation and Inference using Modelica

Abstract

The physical modelling and simulation of systems with inherent uncertainty still poses significant issues when using Modelica and its tools. At present, both language and tools are fundamentally deterministic and offer limited support for handling uncertainty; this limits the scope of using Modelica in certain domains, e.g. feedback control systems. We propose a framework for incorporating uncertainty in Modelica simulation and analysis tasks. We do this by coupling a Modelica model with exogenous stochastic models. Finally, we apply this approach to the domain of building modelling.

On the Simulation of Offshore Oil Facilities at the System Level.

“…Other authors have used a similar approach of employing a stochastic simulation layer on top of a Modelica-based simulation. For instance in the context of Building Performance Simulation [14] to model weather and room occupancy as stochastic processes. Propositions were recently submitted by Bouskela et al [3] to enrich the Modelica language with the possibility to define uncertain variables with user-configurable probability law.…”