The formula to calculate the Running Torque (τrun) is:
\[ \tau_{run} = \frac{3 \cdot E^2}{4 \cdot \pi \cdot N_s \cdot X} \]
Running Torque is maximum at the value of slip (s) which makes rotor reactance per phase equal to rotor resistance per phase. 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. 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:
\[ \tau_{run} = \frac{3 \cdot 305.8^2}{4 \cdot \pi \cdot 1639.91136509036 \cdot 75} \approx 0.181511737394367 \]
The Running Torque is approximately 0.181511737394367 Nm.
| EMF (V) | Synchronous Speed (rad/s) | Reactance (Ω) | Running Torque (Nm) |
|---|---|---|---|
| 300 | 1639.9113650904 | 75 | 0.174691695943961 |
| 301 | 1639.9113650904 | 75 | 0.175858248269098 |
| 302 | 1639.9113650904 | 75 | 0.177028682631923 |
| 303 | 1639.9113650904 | 75 | 0.178202999032435 |
| 304 | 1639.9113650904 | 75 | 0.179381197470635 |
| 305 | 1639.9113650904 | 75 | 0.180563277946522 |
| 306 | 1639.9113650904 | 75 | 0.181749240460097 |
| 307 | 1639.9113650904 | 75 | 0.182939085011360 |
| 308 | 1639.9113650904 | 75 | 0.184132811600310 |
| 309 | 1639.9113650904 | 75 | 0.185330420226948 |
| 310 | 1639.9113650904 | 75 | 0.186531910891274 |