In literature, there exists no control design model which combines the variables of the networks and system dynamics that go beyond ideal storage elements. For their operation, model-based control methods are necessary whose design requires modular, multi-physical control-oriented models. Keywords: Physical and Multiport Modelling, Bondgraphs, Electrical, Electronic and Power SystemsĪbstract: Multi-carrier energy systems have been identified as a major concept for future energy supply. Towards Port-Hamiltonian Modeling of Multi-Carrier Energy Systems: A Case Study for a Coupled Electricity and Gas Distribution SystemĭVGW Res. Therefore, the proposed method can be used to determine directly the emerging limit cycle of the Nambu system without the consideration of the transient behavior yielding a faster method for the analysis of the steady state behavior. Since a weakly damped system is considered, the numerical integration is time consuming. In contrast to a numerical simulation, the limit cycle can be directly calculated with this approach. Keywords: Electrical, Electronic and Power Systems, ODE, DAE, SODE, SDAE Systems, Mathematical Modeling of Strongly Nonlinear Mechanical Dissipative SystemsĪbstract: In this contribution a canonical dissipative Nambu system with limit cycles is analyzed with a self-consistent Carleman linearization in order to obtain an approximation of the emerging limit cycle.
#Mathmod class series
Moreover, in case the circuit is incomplete, the algorithm extends it by automatically generating all series and parallel augmentations and re-optimizing the values of the elements.Īnalysis of Dissipative Nambu Systems with Limit Cycles Using a Self-Consistent Carleman Linearization The algorithm finds the values of the circuit elements given a description of the circuit such that the resulting model fits the frequency response measurements provided for the component. These models are obtained through topological fitting, thus yielding equivalent electrical circuit models which are guaranteed to be stable and passive.
Computer Modelling, ODE, DAE, SODE, SDAE SystemsĪbstract: This paper presents a gray-box modeling technique for obtaining physical models of electrical components.
#Mathmod class software
Keywords: Electrical, Electronic and Power Systems, Automation of Modelling and Software Aids, incl.
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