Maximum Torque in an Induction Motor Calculator
Maximum Torque in an Induction Motor Calculator
Calculate the maximum (breakdown) torque using the equation:
\[
T_{max} = \frac{3\,V^2}{2\,\omega_s\,(X_1+X_{2}’)}
\]
where \(\omega_s = 2\pi f\) is the synchronous angular frequency.
* Enter all values in SI units.
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Formula: \( T_{max} = \frac{3\,V^2}{2\,(2\pi f)(X_1+X_{2}’)} \)
Practical Example:
For a supply voltage of 230 V, frequency of 50 Hz, \(X_1 = 1\) Ω, and \(X_{2}’ = 0.5\) Ω:
\[
\omega_s = 2\pi \times 50 \approx 314.16 \, \text{rad/s},
\]
\[
T_{max} \approx \frac{3 \times 230^2}{2 \times 314.16 \times (1 + 0.5)} \approx \frac{3 \times 52900}{2 \times 314.16 \times 1.5} \approx \frac{158700}{942.48} \approx 168.4 \, \text{N·m}.
\]