The formula to calculate the Torque (τ) is:
\[ \tau = \frac{3 \cdot s \cdot E^2 \cdot R}{2 \cdot \pi \cdot N_s \cdot (R^2 + (X^2 \cdot s))} \]
Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis. Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. EMF is defined as the electro motive force which is needed to move the electrons within an electrical conductor to generate flow of current through the conductor. Resistance is a measure of the opposition to current flow in an electrical circuit. Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit. Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.
Let's assume the following values:
Using the formula:
\[ \tau = \frac{3 \cdot 0.19 \cdot 305.8^2 \cdot 14.25}{2 \cdot \pi \cdot 1639.91136509036 \cdot (14.25^2 + (75^2 \cdot 0.19))} \approx 0.0579617312687895 \]
The Torque is approximately 0.0579617312687895 Nm.
| Slip | EMF (V) | Resistance (Ω) | Synchronous Speed (rad/s) | Reactance (Ω) | Torque (Nm) |
|---|---|---|---|---|---|
| 0.1 | 305.8 | 14.25 | 1639.9113650904 | 75 | 0.050679250705261 |
| 0.15 | 305.8 | 14.25 | 1639.9113650904 | 75 | 0.055594675075115 |
| 0.2 | 305.8 | 14.25 | 1639.9113650904 | 75 | 0.058428174680101 |
| 0.25 | 305.8 | 14.25 | 1639.9113650904 | 75 | 0.060271286446924 |
| 0.3 | 305.8 | 14.25 | 1639.9113650904 | 75 | 0.061566016253966 |