A general method for coupling static converters with electromagnetic structures

Kuo‐Peng, Patrick; Sadowski, N.; Bastes, J.P.A.; Carlson, R.; Batistela, Nelson Jhoe; Lajoie‐Mazenc, M.

doi:10.1109/20.582695

Cited by 33 publications

(35 citation statements)

References 5 publications

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“…To incorporate the stator windings, and thus, external circuits, the voltage equations for the stator windings are expressed in the arbitrary reference frame [22] v qd0s = r s i qd0s + ωλ qd0s + dλ qd0s dt (16) where r s is the stator resistance and…”

Section: Field Construction Techniquementioning

confidence: 99%

See 1 more Smart Citation

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

Wu¹,

Pekarek

2010

IEEE Trans. Energy Convers.

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Abstract-In recent research, a field construction technique (FCT) was derived to enable more efficient evaluation of the magnetic fields and forces within induction machines. Using the FCT, the results of two finite-element (FE) solutions are used to establish basis functions for the flux densities in the airgap of the machine. The basis functions are then used to predict the magnetic fields and forces under arbitrary stator excitation. In this paper, a multirate FCT (MRFCT) is proposed to enable efficient FCT modeling of machines that are connected to power electronic converters. Within the MRFCT, the low-and high-frequency components of the stator current are partitioned. The partitioned currents are then used to calculate the flux density and forces at time steps commensurate with the respective low-and high-frequency dynamics. It is shown that applying the MRFCT, the forces and fields of a machine connected to a power electronic circuit can be obtained at a small fraction of the time required for a coupled FE/circuit model.

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Section: Field Construction Techniquementioning

confidence: 99%

“…To solve (16), the relationship between stator current and flux linkage is required. To obtain this relation, the stator flux linkage equations are expressed in the form…”

Section: Field Construction Techniquementioning

confidence: 99%

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

Wu¹,

Pekarek

2010

IEEE Trans. Energy Convers.

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“…Equations (5) and (6) are the main equations and they put in evidence the sources of the whole system in the righthand side.…”

Section: B Supplyang Magnetic Devzces Wath Voltagesmentioning

confidence: 99%

“…In the case of supplying by voltages they are not homogenous because they don't interact in the same equations. They are acting in two different equations (5) and (6). In fact, it is already a case of coupling magnetic field equations with a very simple electric circuit as shown in the next paragraph.…”

Section: B Supplyang Magnetic Devzces Wath Voltagesmentioning

confidence: 99%

An original and natural method of coupling electromagnetic field equations with circuit equations put in a state form

1998

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i tions are put in a st are discretized using original way of linkin proposed. and the field equations ite element method. An WO systems of equations is problems. equations in the electrc counting for the eddy ductor are considered. a state form. An origii etic device. Formulations acts in different types of conrcuit equations are set up in to link the two systems into Where {A} is the mal ings. {Uw} is the vector potential at the nodes voltage drops on windings. of the currents in the windManuscript received No Y. Lefhvre, Tel: 05-61-5 e-mai1:lefevreOleei.ensetMatrices [MI, [NI, [PI and [Q] are assembled by the nodal 2D finite element method. {Sma} is a vector due to permanent magnets [l]. This is a general form of the discretised magnetic field equations which takes into account all kinds of windings: with stranded or solid conductors [2], [l]. These equations can be written in different ways depending on how the magnetic structure is supplied. It can be supplied by currents or voltages. To put in evidence the kind of supply, the main equations, which contain the main unknowns and the real sources of the whole system, must be distinguished from the secondary or output equations which allow to calculate the other variables as a funtion of the real sources and the main unknowns. A . Supplying magnetic devzces wath currentsIf the magnetic device is supplied by currents, the sources of the magnetic field are the permanent magnets and the currents in the windings. In this case, the unknowns of the magnetic equations are the magnetic vector potential on nodes. The voltage drop on each winding can be calculated from these unknowns by means of equations (2) which then constitute the output equations. It is then convenient to write the main equations as follows: and the output equations in this manner:This form of the equations puts in evidence the source in the righthand side of the main equations and the output variables in the lefthand side of the secondary equations. B. Supplyang magnetic devzces wath voltagesIn this case, the sources of the whole system are the permanent magnets and the voltage drops on the windings. The unknowns are the vector potential on nodes and the currents in the windings. The final system is composed of the two equations (1) and (2). It is convenient to write them in the following way:Equations (5) and (6) are the main equations and they put in evidence the sources of the whole system in the righthand side.

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“…By combining the equations of voltage-current relations, a reduced state system is obtained (Kuo-Peng et al, 1997).…”

Section: State Matricesmentioning

confidence: 99%

Automatic Modelling Approach for Power Electronics Converters: Code Generation (C S Function, Modelica, VHDL-AMS) and MATLAB/Simulink Simulation

Merdassi¹,

Gerbaud²,

Bacha³

2011

MATLAB for Engineers - Applications in Control, Electrical Engineering, IT and Robotics

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A general method for coupling static converters with electromagnetic structures

Cited by 33 publications

References 5 publications

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

A Multirate Field Construction Technique for Efficient Modeling of the Fields and Forces Within Inverter-Fed Induction Machines

An original and natural method of coupling electromagnetic field equations with circuit equations put in a state form

Automatic Modelling Approach for Power Electronics Converters: Code Generation (C S Function, Modelica, VHDL-AMS) and MATLAB/Simulink Simulation

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