Rotor Current in Induction Motor given Stator Voltage Calculator

Formula

The formula to calculate the Rotor Current (I_r) is:

\[ I_r = \frac{s \cdot K \cdot V_{in}}{\sqrt{R_{r(ph)}^2 + (s \cdot X_{r(ph)})^2}} \]

Definition

Rotor Current refers to the flow of electric current in the rotor of an electric machine, such as an electric motor or generator. It is measured in Ampere.

Example Calculation

Let's assume the following values:

Slip (s) = 0.19
Turn Ratio (K) = 9
Stator Voltage (V_in) = 89.5 Volt
Rotor Resistance per Phase (R_r(ph)) = 56 Ohm
Rotor Reactance per Phase (X_r(ph)) = 89 Ohm

Using the formula:

\[ I_r = \frac{0.19 \cdot 9 \cdot 89.5}{\sqrt{56^2 + (0.19 \cdot 89)^2}} \approx 2.61626924817099 \]

The Rotor Current is approximately 2.61626924817099 Ampere.

Conversion Chart

Slip	Rotor Current (Ampere)
0.1	1.420564223155365
0.11	1.558594102197479
0.12	1.695512286084531
0.13	1.831234629066010
0.14	1.965680995288795
0.15	2.098775438580055
0.16	2.230446352222268
0.17	2.360626588725954
0.18	2.489253549942405
0.19	2.616269248170991
0.2	2.741620339199651
0.21	2.865258128469500
0.22	2.987138551772990
0.23	3.107222132078368
0.24	3.225473914220916
0.25	3.341863379313843
0.26	3.456364340810127
0.27	3.568954824192378
0.28	3.679616932283566
0.29	3.788336698159472