Question 3.AE.6: The three permanent-split capacitor (PSC) motors (R333MC, Y6......
The three permanent-split capacitor (PSC) motors (R333MC, Y673MG1, and 80664346) of Table 3.3 are subjected to the tests described in the prior subsections of Section 3.7, and pertinent results will be presented. These include stator, rotor, and magnetizing parameters, and tables listing no-load input impedances of the main and auxiliary phases (Tables E3.6.1 and E3.6.2). The bold data of the tables correspond to rated main- and auxiliary-phase voltages at no load. The rated auxiliary-phase voltage is obtained by multiplying the rated main-phase voltage with the measured turns ratio \left|\tilde{k}_{a m}\right| \cdot L_m \text { and } L_a are inductances of the main- and auxiliary-phase windings, respectively
Table E3.6.1 Main-Phase (m) Input Impedance at Single-Phase No-Load Operation as a Function of Input Voltage for R333MC
\begin{array}{c|c|l|l|l} \hline \boldsymbol{V}_m(\mathbf{V}) & \boldsymbol{R}_m(\boldsymbol{\Omega}) & \boldsymbol{X}_m(\boldsymbol{\Omega}) & \boldsymbol{Z}_m(\boldsymbol{\Omega}) & \boldsymbol{L}_m(\mathbf{m H}) \\ \hline 250.3 & 9.65 & 46.6 & 47.6 & 126 \\ \mathbf{2 2 9 . 9} & \mathbf{1 1 . 2} & \mathbf{5 6 . 9} & \mathbf{5 8 . 0} & \mathbf{1 5 4} \\ 210.3 & 13.2 & 67.8 & 69.1 & 183 \\ 189.8 & 15.1 & 77.3 & 78.7 & 209 \\ 170.6 & 17.0 & 82.4 & 84.1 & 223 \\ 149.5 & 18.6 & 85.4 & 87.4 & 232 \\ 129.8 & 20.5 & 86.3 & 88.7 & 235 \\ 109.2 & 22.6 & 86.7 & 89.5 & 238 \\ 89.9 & 22.5 & 87.8 & 90.6 & 240 \\ 69.4 & 26.3 & 87.0 & 90.9 & 241 \\ \hline \end{array}
Table E.3.6.2 Auxiliary-Phase (a) Input Impedance at Single-Phase No-Load Operation as a Function of Input Voltage for R333MC
\begin{array}{l|l|r|r|l} \hline \boldsymbol{V}_a(\mathbf{V}) & \boldsymbol{R}_{\boldsymbol{a}}(\boldsymbol{\Omega}) & \boldsymbol{X}_{\boldsymbol{a}}(\boldsymbol{\Omega}) & \boldsymbol{Z}_{\boldsymbol{a}}(\boldsymbol{\Omega}) & {\boldsymbol{L}_{\boldsymbol{a}}(\mathbf{m H})} \\ \hline \mathbf{2 9 8 . 8 8} & \mathbf{3 0 . 6} & \mathbf{9 4 . 7} & \mathbf{9 9 . 5} & \mathbf{2 6 4} \\ 279.9 & 33.6 & 106.0 & 111.2 & 295 \\ 259.3 & 36.8 & 117.9 & 123.5 & 328 \\ 239.8 & 39.1 & 126.2 & 132.1 & 351 \\ 219.4 & 41.1 & 132.5 & 138.7 & 368 \\ 199.0 & 43.8 & 135.6 & 142.5 & 378 \\ 179.3 & 45.6 & 137.4 & 144.7 & 384 \\ 160.0 & 46.7 & 138.6 & 146.3 & 388 \\ 139.1 & 49.9 & 139.0 & 147.6 & 392 \\ 120.8 & 50.3 & 140.2 & 148.9 & 395 \\ 100.1 & 54.3 & 139.3 & 149.5 & 397 \\ \hline \end{array}
3.7.2.1 Data of Motor R333MC: Solution
Stator Parameters
• 60 Hz AC main-phase resistance: 4.53 Ω,
• main-phase leakage reactance: 5.02 Ω,
• auxiliary-phase resistance: 17.77 Ω,
• auxiliary-phase leakage reactance: 6.70 Ω,
• turns ratio between auxiliary- and main-phase windings: 1.34, and
• angle enclosed by the axes of auxiliary- and main-phase windings: 90.8°.
Rotor Parameters
• DC resistance: 4.687 Ω,
• 60 Hz AC resistance: 4.703 Ω,
• 120 Hz AC resistance: 4.751 Ω,
• linear leakage reactance: 5.635 Ω,
• skin-effect coefficient: kr¼0.0572, and
• nonlinear rotor leakage (λ – i) characteristic (referred to stator) is shown in Fig. E3.6.1.
Magnetizing Parameters
• unsaturated magnetizing reactance: 166.1 Ω,
• resistance corresponding to iron-core loss: 580 Ω, and
• nonlinear magnetizing (λ – i) characteristic is depicted in Fig. E3.6.2.
No-Load Input Impedance
The main- and auxiliary-phase input impedances are measured and recorded in Tables E3.6.1 and E3.6.2, respectively, at single-phase no-load operation as a function of the rms value of the input voltage. Note that in Table E3.6.1 the parameters Z_m\ and\ L_m are referred to the main-phase (m) winding, whereas in Table E3.6.2 Z_a\ and\ L_a are referred to the auxiliary-phase (a) winding.
Geometric Data
• length of iron core: 80 mm,
• width of stator tooth: 3.5 mm,
• height of main-phase yoke: 14.85 mm,
• height of auxiliary-phase yoke: 11.5 mm, and
• iron-core stacking factor: 0.95.