A dual relation between port-Hamiltonian systems and the Brayton-Moser equations for nonlinear switched RLC circuits

DOI10.1016/S0005-1098(03)00070-0zbMath1021.93004OpenAlexW2057141759MaRDI QIDQ1810563

Jacquelien M. A. Scherpen, Dimitri Jeltsema

Publication date: 9 June 2003

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(03)00070-0

zbMATH Keywords

modelingdualityRLC circuitsport-Hamiltonian systemspower convertersnonlinear networksBrayton-Moser equationsswitched-mode circuits

Mathematics Subject Classification ID

Related Items (11)

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Cites Work

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• Derivation of the Brayton-Moser equations from a topological mixed potential function
• A Hamiltonian viewpoint in the modeling of switching power converters
• L\(_2\) gain and passivity techniques in nonlinear control.
• Lagrangian modeling of switching electrical networks
• The generalized Lagrange formulation for nonlinear RLC networks
• A generalization of Brayton-Moser's mixed potential function
• Power shaping: A new paradigm for stabilization of nonlinear RLC circuits
• An integral invariant formulation of a canonical equation set for non-linear electrical networks

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