Name
Abstract | ||
|---|---|---|
Physical system modeling benefits from the use of implicit equations because it is often an intuitive way to describe physical constraints and behaviors. To achieve efficient models, model abstraction may lead to idealized component behavior that switches between modes of operation (e.g., an electrical diode may be on or off) based on inequalities (e.g., voltage 0). In an explicit representation, the combination of these local mode switches leads to a combinatorial explosion of the number of global modes. It is shown how an implicit formulation can be used to formulate these mode switches, thereby circumventing the combinatorial problem. This leads to the use of differential and algebraic equations (DAEs) for each of the modes. In case these DAEs are of high index, jumps in generalized state variables may occur. In combination with the inequalities that define mode switching, this leads to rich and complex mode transition behavior. An overview of this mode switching behavior and an ontology is presented. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.5555/1030818.1030903 | Winter Simulation Conference |
Keywords | Field | DocType |
implicit formulation,physical constraint,global mode,combinatorial explosion,mode switching,local mode switch,hybrid dynamic system,combinatorial problem,implicit equation,idealized component behavior,complex mode transition behavior,system modeling,indexation | Simulation,Computer science,Control theory,Physical system,Voltage,Algebraic equation,State variable,Combinatorial explosion,Mode switching,Dynamical system | Conference |
ISBN | Citations | PageRank |
0-7803-8132-7 | 1 | 0.50 |
References | Authors | |
9 | 1 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pieter J. Mosterman | 1 | 429 | 53.18 |