Infinite Dimensional Port Hamiltonian Representation of Chemical Reactors
نویسندگان
چکیده
Infinite dimensional Port Hamiltonian representation of non isothermal chemical reactors is proposed in the case of mass transport diffusion and chemical reaction without convection. The proposed approach uses thermodynamic variables. The presentation is given for one dimensional spatial domain by using the internal energy and the opposite of the entropy as hamiltonian functions.
منابع مشابه
On Interconnections of Infinite-dimensional Port-Hamiltonian Systems
Network modeling of complex physical systems leads to a class of nonlinear systems called port-Hamiltonian systems, which are defined with respect to a Dirac structure (a geometric structure which formalizes the power-conserving interconnection structure of the system). A power conserving interconnection of Dirac structures is again a Dirac structure. In this paper we study interconnection prop...
متن کاملOn the Port-Hamiltonian Structure of the Navier-Stokes Equations for Reactive Flows
We consider the problem of finding an energy-based formulation of the Navier-Stokes equations for reactive flows. These equations occur in various applications, e. g., in combustion engines or chemical reactors. After modeling, discretization, and model reduction, important system properties as the energy conservation are usually lost which may lead to unphysical simulation results. In this pap...
متن کاملPort-Hamiltonian formulation of shallow water equations with coriolis force and topography∗
Port based network modeling of complex lumped parameter physical systems naturally leads to a generalized Hamiltonian formulation of its dynamics. The resulting class of open dynamical systems are called “Port-Hamiltonian systems” [12] which are defined using a Dirac structure, the Hamiltonian and dissipative elements. This formulation has been successfully extended to classes of distributed pa...
متن کاملNetwork Modelling and Simulation of Robots with Flexible Links. a Port-Based Approach
In this paper, the port Hamiltonian model of a manipulator is presented as the result of the power-conserving interconnection of a set of main components (rigid bodies, flexible links and kinematic pairs). The flexible link model we propose is different from classical approaches because it takes into account the infinite dimensional nature of elasticity, since it does not rely on any finite dim...
متن کاملNetwork Modeling and Control of Physical Systems, DISC Theory of Port-Hamiltonian systems Chapter 2: Control of Port-Hamiltonian systems
Port-based network modeling of physical systems directly leads to their representation as portHamiltonian systems. Key feature of port-Hamiltonian systems is that the power-conserving interconnection of port-Hamiltonian systems results in another port-Hamiltonian system, with total state space the product of the state spaces of the components, total Hamiltonian being the sum of the Hamiltonian ...
متن کامل