Port-Hamiltonian model for DC-microgrid lift systems

Meshed DC microgrid hierarchical control: A differential flatness approach

“…However, through this model description, the power conservation property and the components' interconnections are not explicitly described. Such an approach is the PH formulation approach which applies for general multiphysical systems [36,10]. It aims at providing an exhaustive, explicit and modular description of the power routing through the network topology, together with the constitutive equations for the resistor−like, capacitor/inductor−like, transformers and sources components.…”

“…This Dirac structure allows, for instance, structure preserving discretization [19] or model order reduction [37] which may be needed in the analysis and supervision of grid systems [52,36]. It may be also used in physically−based control design such as passivity−based control [33] or flatness−based approaches such as the one developed in this work.…”

Hierarchical control of a meshed DC microgrid through constrained optimization

“…❼ the port-Hamiltonian modeling (Duindam et al, 2009;Pham et al, 2015;Schiffer et al, 2016;Zafeiratou et al, 2018b) which generates dynamical models of physical systems taking into account the power-conserving interconnections among the components. The advantage of this method is that the power exchange among the elements is given explicitly and can be used directly for analysis, simulation and control.…”

“…Recently, differential flatness has been applied in DC microgrids (Soheil-Hamedani et al, 2016). For instance, in Pham et al (2015) the flat representation is applied to generate the optimal profiles for the velocity of an elevator system, while minimizing the energy dissipation. A main advantage of differential flatness is that the resulting profiles implicitly (by their construction from the flat output) respect the system's dynamics.…”

“…For instance, in Adibi et al (2017), they use PH representation for voltage regulation in a small scale microgrid in islanded mode. Furthermore, Fiaz et al (2013); Pham et al (2015); design and analyze a large scale power network composed by distributed generators (DGs) and loads. The authors use PH modeling to obtain a unified mathematical structure which contains the dynamics of the energy sources, the storing devices and their components and defines the energy preserving interconnections.…”