Power-Controlled Hamiltonian Systems: Application to Electrical Systems with Constant Power Loads
Provides a theoretical framework for stability analysis of power-controlled systems, relevant for power electronics and electrical engineering.
The paper develops a framework for port-Hamiltonian systems where control or disturbance is applied to power rather than flow variables, and uses shifted passivity to analyze stability. The method is applied to electrical circuits with constant power loads, demonstrating its utility.
We study a type of port-Hamiltonian system, in which the controller or disturbance is not applied to the flow variables, but to the systems power, a scenario that appears in many practical applications. A suitable framework is provided to model these systems and to investigate their shifted passivity properties, based on which, a stability analysis is carried out. The applicability of the results is illustrated with the important problem of stability analysis of electrical circuits with constant power loads.