Simplified Fuzzy Control for Flux-Weakening Speed Control of IPMSM Drive

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr class="thead"><td align="left">Motor rated power</td><td align="center">3-phase, 1 hp</td></tr><tr><td class="thead-hr" colspan="2"><hr/></td></tr><tr><td align="left">Rated voltage</td><td align="center">250 V</td></tr><tr><td align="left">Rated current</td><td align="center">3 A</td></tr><tr><td align="left">Rated frequency</td><td align="center">60 Hz</td></tr><tr><td align="left">Pole pair number (<i>P</i>)</td><td align="center">2</td></tr><tr><td align="left"><svg height="10.75" id="M137" style="vertical-align:-0.15048pt" version="1.1" viewbox="0 0 9.375 10.75" width="9.375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.75)">
<g transform="translate(72,-63.4)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑑</tspan>
</text>
</g>
</g>
</svg>-axis inductance, <svg height="14.375" id="M138" style="vertical-align:-3.24037pt" version="1.1" viewbox="0 0 18.2875 14.375" width="18.2875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.375)">
<g transform="translate(72,-60.5)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑑</tspan>
</text>
</g>
</g>
</svg></td><td align="center">42.44 mH</td></tr><tr><td align="left"><svg height="9.875" id="M139" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 7.9124999 9.875" width="7.9124999" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,9.875)">
<g transform="translate(72,-64.1)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑞</tspan>
</text>
</g>
</g>
</svg>-axis inductance, <svg height="16.237499" id="M140" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 17.262501 16.237499" width="17.262501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,16.2375)">
<g transform="translate(72,-59.01)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.1,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑞</tspan>
</text>
</g>
</g>
</svg></td><td align="center">79.57 mH</td></tr><tr><td align="left">Stator resistance, <svg height="10.325" id="M141" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 11.6875 10.325" width="11.6875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.325)">
<g transform="translate(72,-63.74)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑅</tspan>
</text>
</g>
</g>
</svg></td><td align="center">1.93 Ω</td></tr><tr><td align="left">Motor inertia, <svg height="14.325" id="M142" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 16.950001 14.325" width="16.950001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.325)">
<g transform="translate(72,-60.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐽</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.2,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg></td><td align="center">0.003 kg m<sup>2</sup></td></tr><tr><td align="left">Friction coefficient, <svg height="14.325" id="M143" style="vertical-align:-3.20526pt" version="1.1" viewbox="0 0 19.387501 14.325" width="19.387501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.325)">
<g transform="translate(72,-60.54)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐵</tspan>
</text>
<text transform="matrix(1,0,0,-1,-63.25,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑚</tspan>
</text>
</g>
</g>
</svg></td><td align="center">0.001 Nm/rad/sec</td></tr><tr><td align="left">Magnetic flux constant, <svg height="12.975" id="M144" style="vertical-align:-4.77652pt" version="1.1" viewbox="0 0 19.875 12.975" width="19.875" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,12.975)">
<g transform="translate(72,-61.62)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝜓</tspan>
</text>
<text transform="matrix(1,0,0,-1,-62.56,63.31)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑓</tspan>
</text>
</g>
</g>
</svg></td><td align="center">0.311 volts/rad/sec</td></tr><tr class="table-tr"><td colspan="2"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Advances in Fuzzy Systems

tab2

Table 2

Table 2: Simplified Fuzzy Control for Flux-Weakening Speed Control of IPMSM Drive 