Coupling Circuit Systems and Finite Element Models: A 2-D Time-Harmonic Modified Nodal Analysis Framework

Systematic Coupling of Multiple Magnetic Field Systems and Circuits Using Finite Element and Modified Nodal Analyses

“…The interaction of the electromagnetic systems is given at the electrical/circuit level, where the currents and voltages are impressed or extracted into and from node connections where the conductor terminals of the different systems converge. The 2-D 1 LF version of Maxwell's equations can be effectively combined and rearranged for an th field system as (1) in the frequency domain [4].…”

“…It can be formally shown that the FE discretization of (1) is [4]: (2) when homogeneous boundary conditions for the MVP and its normal derivative (magnetic wall: are considered at the exterior boundaries of the 2-D model. is a vector of MVPs at element nodes of the th field system.…”

“…More recently, formal topological treatment of the circuit equations has led to the well-defined choice of coupling unknowns and equations [12]. The coupling of circuit and field equations has been performed using two approaches, namely strong [4], [5], [10], [12] and weak [3], [13]- [16] couplings. Weak coupling techniques have allowed the use of legacy and proven circuit software codes since each system is separately solved.…”

“…In addition, the incorporation of new elements follows easy and systematic rules. The authors have recently shown that the classical problem of 0018-9464/$26.00 © 2010 IEEE coupling circuit and LF magnetic field equations can be solved using MNA [4]. The point of view taken was to consider the FE model as the main system whose terminals are connected to a circuit system.…”

Use of a finite element model for the determination of damping and synchronizing torques of hydroelectric generators

“…In the last decades, coupled field-circuit models of rotating electrical machinery have received much attention from both academia and the industry [11][12][13][14][15]. Among the techniques available to manage coupled field-circuit formulations of electrical machines in practice, the finite element method (FEM) has emerged as the dominating method [16].…”