Equivalent circuit parameters and efficiency calculations.
A 3-phase, 460 V, 60 Hz, 4-pole induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 0.2 Ω, R2 = 0.1 Ω, X1 = 0.5 Ω, X2 = 0.2 Ω, Xm = 20 Ω. The motor is operating at a slip of 0.04. Find the input current, power factor, developed torque, and efficiency.
Resolución de problemas sobre flujo, densidad magnética, reluctancia y la ley de Ampere aplicada a núcleos de hierro.
$$\mathcalR_i = \fracl_i\mu A = \frac0.999(2000 \times 4\pi \times 10^-7) \times (25 \times 10^-4)$$ $$\mathcalR_i \approx 159,150 \text A-turnos/Wb$$
Some digital editions include Scilab or MATLAB code snippets to assist with electronic solutions for homework problems.
Velocidad angular del rotor $\omega_r = \frac2\pi N_r60 = \frac2\pi \times 171060 = 179.07 \text rad/s$. $$T_shaft = \fracP_out\omega_r = \frac18,000179.07 \approx 100.5 \text Nm$$
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Equivalent circuit parameters and efficiency calculations.
A 3-phase, 460 V, 60 Hz, 4-pole induction motor has the following equivalent circuit parameters per phase referred to the stator: R1 = 0.2 Ω, R2 = 0.1 Ω, X1 = 0.5 Ω, X2 = 0.2 Ω, Xm = 20 Ω. The motor is operating at a slip of 0.04. Find the input current, power factor, developed torque, and efficiency.
Resolución de problemas sobre flujo, densidad magnética, reluctancia y la ley de Ampere aplicada a núcleos de hierro.
$$\mathcalR_i = \fracl_i\mu A = \frac0.999(2000 \times 4\pi \times 10^-7) \times (25 \times 10^-4)$$ $$\mathcalR_i \approx 159,150 \text A-turnos/Wb$$
Some digital editions include Scilab or MATLAB code snippets to assist with electronic solutions for homework problems.
Velocidad angular del rotor $\omega_r = \frac2\pi N_r60 = \frac2\pi \times 171060 = 179.07 \text rad/s$. $$T_shaft = \fracP_out\omega_r = \frac18,000179.07 \approx 100.5 \text Nm$$
