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an investigation of dual stator winding induction machines

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3.16 <strong>an</strong>d Figure 3.17. It is found from the simulation that the rotor bar currents are almost<br />

zero under no-load condition. However, under the load condition, the rotor bar current is<br />

closed to sinusoidal waveform.<br />

3.10 Air Gap Field Calculation<br />

Finite Element Analysis (FEA) is the favored method <strong>of</strong> plotting the magnetic fields<br />

in various parts <strong>of</strong> electric <strong>machines</strong>, most especially, the flux density <strong>of</strong> the air gap. The<br />

calculation time for FEA is long <strong>an</strong>d involved if it is required to generate sufficient<br />

perform<strong>an</strong>ce data. Using the <strong>stator</strong> <strong>winding</strong> <strong>an</strong>d rotor bar currents obtained from the<br />

computer simulation results set forth in Section 8 <strong>an</strong>d the <strong>winding</strong> functions <strong>of</strong> the <strong>stator</strong><br />

<strong>winding</strong>s <strong>an</strong>d rotor loops, the air gap magnetic field contributions from all the <strong>stator</strong><br />

<strong>winding</strong>s <strong>an</strong>d rotor bars c<strong>an</strong> be calculated using (3.31). This approach, augmented with<br />

the B-H curve <strong>of</strong> the core magnetic material to approximately account for the saturation<br />

<strong>of</strong> the air-gap flux linkage, enables the estimation <strong>of</strong> the air gap flux density.<br />

When the machine is running under rated load at steady state condition, at <strong>an</strong>y inst<strong>an</strong>t<br />

time, the <strong>stator</strong> currents <strong>an</strong>d rotor loop currents c<strong>an</strong> be found in the full model simulation.<br />

From the rotor model, the bar current is actually the subtraction <strong>of</strong> the two adjacent rotor<br />

loops that share that rotor bar.<br />

i b<br />

i x<br />

At <strong>an</strong> inst<strong>an</strong>t time, the phase currents <strong>of</strong> the ABC <strong>winding</strong> set are = −1.<br />

03 A ,<br />

= 0.<br />

52 A <strong>an</strong>d = 0.<br />

51 A while the phase currents <strong>of</strong> the XYZ <strong>winding</strong> set are given as<br />

i c<br />

= 1.<br />

65 A , = 0.<br />

21 A <strong>an</strong>d = −1.<br />

86 A . Then the total air gap flux density <strong>an</strong>d its<br />

i y<br />

components are shown in Figures 3.18-3.24.<br />

i z<br />

123<br />

i a

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