Algebraically-constrained-state-space analysis of hybrid circuit/system

When analyzing systems comprised of power electronics, electric machines and control systems, simulations based on state-space modeling offer two important advantages over simulations based on the now-conventional combination of companion modeling and modified nodal analysis. In particular, state-space modeling provides a more natural representation of complex multi-terminal components and the freedom to choose among various integration algorithms at run time. These advantages are accompanied by the disadvantage of a more complex procedure for establishing the overall network/system equations and implementing software for their solution. With advances in object-oriented and generic programming languages over the last 20 years, however, the implementation of state-space simulation methods in software is no longer as formidable as it once was.; Therefore, this thesis introduces the modeling and simulation of hybrid circuit/system by Algebraically-Constrained-State-Space (ACSS) analysis. In the second chapter, the ACSS models of the components and the interconnections of the circuit/systems are introduced. In the third chapter, three numerical simulation methods for the simulation of switched RLCM circuits with electrical machines are introduced. The first numerical method comes from a classical symbolic result and used to demonstrate how to obtain the consistent initial condition for the ideal switch model in the time instant when impulse occurs. The second numerical method is described in more detail to demonstrate how to simulate the active RLCM network. The third method is a specific application of the second method in switched RLCM passive network. In the fourth chapter, the general mathematical framework for the hybrid circuit/systems is introduced. It describes the circuit interconnections as bilateral interconnections while the control system interconnections as unilateral interconnections. This chapter discusses various simulation techniques of general unilateral interconnections and hybrid unilateral/bilateral interconnections. The event driven and search method is also introduced to search for the precise time instant when discrete digital event occurs in the system. In the fifth chapter, a central supporting class in the ACSS framework—topology graph, is introduced. Most effort is to illustrate its graph theory's implementations. Finally, in the sixth chapter, the object-oriented design of the ACSS software framework is introduced in UML. Finally, in the seventh chapter of this thesis, four example hybrid circuit/systems are used to test and demonstrate the implementation result.