Application of Quadratic Linearization for the Control of Permanent Magnet Synchronous Motor

Steady state gain of <svg height="11.05" id="M110" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 16.262501 11.05" width="16.262501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.05)">
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<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜔</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑒</tspan>
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</svg> versus <svg height="13.1875" id="M111" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 14.1 13.1875" width="14.1" xmlns="http://www.w3.org/2000/svg">
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<g transform="translate(72,-61.45)">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑣</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑞</tspan>
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</svg> for the system in open loop (prior to linearization). 

Advances in Power Electronics

tab1

Table 1

Table 1: Application of Quadratic Linearization for the Control of Permanent Magnet Synchronous Motor 