A Rotor Flux and Speed Observer for Sensorless Single-Phase Induction Motor Applications

<table>Rotor speed <svg height="12.0625" id="M108" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 16.612499 12.0625" width="16.612499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,.062,7.775)"><path d="M615 290q0 -148 -114 -245q-65 -57 -125 -57q-39 0 -62 27t-29 70q-31 -41 -72 -69t-74 -28q-49 0 -82.5 43t-33.5 124q0 97 55 174.5t148 124.5l15 -24q-59 -45 -94 -113t-35 -146q0 -58 19.5 -88.5t48.5 -30.5q33 0 62 34.5t45 101.5q16 73 20 135l80 17l5 -6
q-11 -37 -23.5 -100t-12.5 -92q0 -47 16.5 -71.5t44.5 -24.5q62 0 95.5 67t33.5 160q0 107 -63 152l1 9q14 14 45 14q29 0 57.5 -44t28.5 -114z" id="x1D714"></path></g>
<g transform="matrix(.012,-0,0,-.012,10.912,11.863)"><use xlink:href="#x1D45F"></use></g>
</svg> of the SPIM and its estimations <svg height="15.75" id="M109" style="vertical-align:-3.39066pt" version="1.1" viewbox="0 0 23.375 15.75" width="23.375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,1.487,11.387)"><path d="M470 557l-12 -25q-103 25 -223 64q-128 -41 -223 -64l-12 25q172 77 224 109h22q57 -35 224 -109z" id="xF5C01"></path></g><g transform="matrix(.017,-0,0,-.017,.062,11.462)"><use xlink:href="#x1D714"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.912,15.55)"><use xlink:href="#x1D45F"></use></g><g transform="matrix(.012,-0,0,-.012,15.934,15.55)"><use xlink:href="#x1D6FC"></use></g>
</svg> and <svg height="18.7125" id="M110" style="vertical-align:-5.76984pt" version="1.1" viewbox="0 0 23.525 18.7125" width="23.525" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(.017,-0,0,-.017,1.487,11.388)"><use xlink:href="#xF5C01"></use></g><g transform="matrix(.017,-0,0,-.017,.062,11.462)"><use xlink:href="#x1D714"></use></g>
<g transform="matrix(.012,-0,0,-.012,10.912,15.55)"><use xlink:href="#x1D45F"></use></g><g transform="matrix(.012,-0,0,-.012,15.934,15.55)"><use xlink:href="#x1D6FD"></use></g>
</svg> during steps in the frequency stator (computational simulation): (a) from 10 Hz to 50 Hz, (b) from 50 Hz to 10 Hz.</table>

International Journal of Rotating Machinery

fig7

Figure 7

Figure 7: A Rotor Flux and Speed Observer for Sensorless Single-Phase Induction Motor Applications 