A Perturbative Method for Calculating the Impedance of Coils on Laminated Ferromagnetic Cores

<table>Resistive component of differential impedance between two test coils (coils on outer limb of the 25 kVA core at separation of 0.2 m). Dotted line corresponds to the solid core, the continuous line represents the laminated core with one parameter calculated <svg height="11.6" id="M274" style="vertical-align:-4.25362pt" version="1.1" viewbox="0 0 16.3125 11.6" width="16.3125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.6)">
<g transform="translate(72,-62.72)">
<text transform="matrix(1,0,0,-1,-71.95,67.01)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝜒</tspan>
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<text transform="matrix(1,0,0,-1,-64.27,64.21)">
<tspan style="font-size: 7.85px; " x="0" y="0">𝜇</tspan>
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</g>
</svg> and the dashed line is for two calculated parameters <svg height="11.6" id="M275" style="vertical-align:-4.25362pt" version="1.1" viewbox="0 0 16.3125 11.6" width="16.3125" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.6)">
<g transform="translate(72,-62.72)">
<text transform="matrix(1,0,0,-1,-71.95,67.01)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝜒</tspan>
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<text transform="matrix(1,0,0,-1,-64.27,64.21)">
<tspan style="font-size: 7.85px; " x="0" y="0">𝜇</tspan>
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</svg> and <svg height="9.9125004" id="M276" style="vertical-align:-2.89912pt" version="1.1" viewbox="0 0 14.95 9.9125004" width="14.95" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.9125)">
<g transform="translate(72,-64.07)">
<text transform="matrix(1,0,0,-1,-71.95,67.01)">
<tspan style="font-size: 11.21px; " x="0" y="0">𝜒</tspan>
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<text transform="matrix(1,0,0,-1,-64.27,64.21)">
<tspan style="font-size: 7.85px; " x="0" y="0">𝜖</tspan>
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</svg>.</table>

Mathematical Problems in Engineering

fig13

Figure 13

Figure 13: A Perturbative Method for Calculating the Impedance of Coils on Laminated Ferromagnetic Cores 