Electro-Magnetic Converter With Leakage Inductance
Electro-magnetic energy conversion with a leakage inductance
Description
Equations
Variables
Connections
Parameters
Constants
Modelica Standard Library
The Electro-Magnetic Converter With Leakage Inductance component adds a magnetic leakage path to the Electro-Magnetic Converter component.
This model may improve stability especially when the magnetic circuit contains more than one electro-magnetic converter.
i=ip=−in
v=vp−vn=−N⁢dΦinddt
Φ=Φp=−Φn=Φind+Φleak
Ψ=N⁢Φind
Vm=Vmp−Vmn=i⁢N
Φleak=Gm⁢Vm
Lstat={Ψiε<iΨεotherwise
Name
Units
Modelica ID
v
V
Voltage
i
A
Current
Vm
Magnetic potential difference
V_m
Φ
Wb
Total Magnetic flux coupled into magnetic circuit (= Phi_ind + Phi_leak)
Phi
Φind
Magnetic flux of converter
Phi_ind
Φleak
Magnetic flux of leakage inductance
Phi_leak
Ψ
Flux linkage for information only
Psi
Lstat
H
Static inductance abs(Psi/i) for information only
L_stat
portp
Positive magnetic port
port_p
portn
Negative magnetic port
port_n
p
Positive electric pin
n
Negative electric pin
General Parameters
Default
N
1
Number of turns
Leakage Inductance Parameters
L
1·10−2
m
Length in direction of flux
1·10−5
m2
Area of cross-section
μrel
Constant relative permeability of leakage inductance (> 0 required)
mu_rel
Constant Parameters
Gm
[1]
Magnetic permeance of leakage inductance
G_m
[1] μrel⁢μ0⁢AL
Value
ε
eps
[1] 100⁢Modelica.Constants.eps
The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.
See Also
Basic Magnetic Components
Magnetic Library
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