Electro-Magnetic Converter with Leakage Inductance - MapleSim Help
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Electro-Magnetic Converter With Leakage Inductance

Electro-magnetic energy conversion with a leakage inductance

 Description 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.
 Equations $i={i}_{p}=-{i}_{n}$ $v={v}_{p}-{v}_{n}=-N\frac{d{\mathrm{\Phi }}_{\mathrm{ind}}}{\mathrm{dt}}$ $\mathrm{\Phi }={\mathrm{\Phi }}_{p}=-{\mathrm{\Phi }}_{n}={\mathrm{\Phi }}_{\mathrm{ind}}+{\mathrm{\Phi }}_{\mathrm{leak}}$ $\mathrm{\Psi }=N{\mathrm{\Phi }}_{\mathrm{ind}}$ ${V}_{m}={V}_{{m}_{p}}-{V}_{{m}_{n}}=iN$ ${\mathrm{\Phi }}_{\mathrm{leak}}={G}_{m}{V}_{m}$ ${L}_{\mathrm{stat}}=\left\{\begin{array}{cc}\left|\frac{\mathrm{\Psi }}{i}\right|& \mathrm{\epsilon }<\left|i\right|\\ \left|\frac{\mathrm{\Psi }}{\mathrm{\epsilon }}\right|& \mathrm{otherwise}\end{array}$

Variables

 Name Units Description Modelica ID $v$ $V$ Voltage v $i$ $A$ Current i ${V}_{m}$ $A$ Magnetic potential difference V_m $\mathrm{\Phi }$ $\mathrm{Wb}$ Total Magnetic flux coupled into magnetic circuit (= Phi_ind + Phi_leak) Phi ${\mathrm{\Phi }}_{\mathrm{ind}}$ $\mathrm{Wb}$ Magnetic flux of converter Phi_ind ${\mathrm{\Phi }}_{\mathrm{leak}}$ $\mathrm{Wb}$ Magnetic flux of leakage inductance Phi_leak $\mathrm{\Psi }$ $\mathrm{Wb}$ Flux linkage for information only Psi ${L}_{\mathrm{stat}}$ $H$ Static inductance abs(Psi/i) for information only L_stat

Connections

 Name Description Modelica ID ${\mathrm{port}}_{p}$ Positive magnetic port port_p ${\mathrm{port}}_{n}$ Negative magnetic port port_n $p$ Positive electric pin p $n$ Negative electric pin n

Parameters

General Parameters

 Name Default Units Description Modelica ID $N$ $1$ Number of turns N

Leakage Inductance Parameters

 Name Default Units Description Modelica ID $L$ $1·{10}^{-2}$ $m$ Length in direction of flux L $A$ $1·{10}^{-5}$ ${m}^{2}$ Area of cross-section A ${\mathrm{\mu }}_{\mathrm{rel}}$ $1$ $1$ Constant relative permeability of leakage inductance (> 0 required) mu_rel

Constant Parameters

 Name Default Units Description Modelica ID ${G}_{m}$ [1] $H$ Magnetic permeance of leakage inductance G_m

[1] ${\mathrm{\mu }}_{\mathrm{rel}}{\mathrm{\mu }}_{0}\frac{A}{L}$

Constants

 Name Value Units Description Modelica ID $\mathrm{\epsilon }$ [1] eps

[1] $100\mathrm{Modelica.Constants.eps}$

 Modelica Standard Library 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.