Starting Torque of Induction Motor Calculator

Calculate Starting Torque









Formula

The formula to calculate the Starting Torque (τ) is:

\[ \tau = \frac{3E^2R}{2\pi N_s (R^2 + X^2)} \]

Definition

Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis. 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.

Example Calculation

Let's assume the following values:

Using the formula:

\[ \tau = \frac{3 \cdot 305.8^2 \cdot 14.25}{2 \cdot \pi \cdot 1639.91136509036 \cdot (14.25^2 + 75^2)} \approx 0.0665712385000092 \]

The Starting Torque is approximately 0.0665712385000092 Nm.

Conversion Chart

EMF (V) Resistance (Ω) Synchronous Speed (rad/s) Reactance (Ω) Torque (Nm)
300 14.25 1639.9113650904 75 0.06406992033463
301 14.25 1639.9113650904 75 0.06449776502486
302 14.25 1639.9113650904 75 0.06492703349110
303 14.25 1639.9113650904 75 0.06535772573335
304 14.25 1639.9113650904 75 0.06578984175161
305 14.25 1639.9113650904 75 0.06622338154587
306 14.25 1639.9113650904 75 0.06665834511614
307 14.25 1639.9113650904 75 0.06709473246242
308 14.25 1639.9113650904 75 0.06753254358471
309 14.25 1639.9113650904 75 0.06797177848300
310 14.25 1639.9113650904 75 0.06841243715731