65 citations · 101 across the 9 of their papers we have counts for
9 papers
Maximum Power Transfer for Nonlinear State Space Systems
Arjan van der Schaft
The classical Maximum Power Transfer theorem of linear electrical network theory is generalized to the setting of a nonlinear state space system connected to a source. This yields…
Liouville geometry of classical thermodynamics
Arjan van der Schaft
In the contact-geometric formulation of classical thermodynamics distinction is made between the energy and entropy representation, which can be resolved by taking homogeneous coor…
DC power grids with constant-power loads -- Part II: nonnegative power demands, conditions for feasibility, and high-voltage solutions
Mark Jeeninga, Claudio De Persis, Arjan van der Schaft
In this two-part paper we develop a unifying framework for the analysis of the feasibility of the power flow equations for DC power grids with constant-power loads. Part II of this…
DC power grids with constant-power loads -- Part I: A full characterization of power flow feasibility, long-term voltage stability and their correspondence
Mark Jeeninga, Claudio De Persis, Arjan van der Schaft
In this two-part paper we develop a unifying framework for the analysis of the feasibility of the power flow equations for DC power grids with constant-power loads. In Part I of th…
Port-Hamiltonian formulation of nonlinear electrical circuits
Hannes Gernandt, Frédéric Haller, Timo Reis Arjan van der Schaft
We consider nonlinear electrical circuits for which we derive a port-Hamiltonian formulation. After recalling a framework for nonlinear port-Hamiltonian systems, we model each circ…
Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems
Arjan van der Schaft, Bernhard Maschke
After recalling standard nonlinear port-Hamiltonian systems and their algebraic constraint equations, called here Dirac algebraic constraints, an extended class of port-Hamiltonian…