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Power-controlled Hamiltonian systems: Application to electrical systems with constant power loads

Power-controlled Hamiltonian systems: application to electrical systems with constant power loads
Authors: Pooya Monshizadeh; Juan E. Machado; Romeo Ortega; Arjan van der Schaft;

Power-controlled Hamiltonian systems: Application to electrical systems with constant power loads

Abstract

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.

Keywords

stability of nonlinear systems, port-Hamiltonian systems, Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory, Mathematical modeling or simulation for problems pertaining to systems and control theory, Systems and Control (eess.SY), Electrical Engineering and Systems Science - Systems and Control, Application models in control theory, FOS: Electrical engineering, electronic engineering, information engineering, Nonlinear systems in control theory, passivity theory, constant power loads

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
Green
bronze