### Stepper Motor Calculator:

Enter the stepper motor inductance in Hendry, motor input current in amps, input voltage in volts, frequency in Hz and press the calculate button to get the results.

### Stepper Motor Speed Calculation:

Stepper motor is a multi-pole open-loop motor used to rotate inaccurate steps. Here the maximum Speed in revolution per second applied voltage V_{ (V)} in volts divided by the two times of the product of the inductance L_{ (H)}, Current I_{ (A)} in amps, and the steps per revolution.

Maximum speed in RPS = V_{ (V)} / (2 x L_{ (H)} x I_{ (A)} x Steps).

### Maximum Step Time:

By the way, we can calculate the minimum time in a millisecond is required to complete one step using the flowing relation.

Here, the Minimum time per step is equal to two times of the motor inductance L_{(H)} in Hendry and the Maximum flow of current I_{(A)} in amps divided by the applied voltage V_{(v)} in volts. The formula can be written as,

Minimum Step Time = 2 x L_{ (H)} x I_{ (A)} / V_{ (V)}

Also, the motor’s maximum power consumption P_{ (W)} in watts is equal to the maximum flow of current I_{(A} in amps times of the applied voltage V_{(V)} in volts.

P_{ (W)} = I_{ (A)} x V_{ (V)}

### Rated Speed:

The rated speed of the stepper motor N_{ (RPM)} in revolution per minute equals the 0.167 times of the step angles an in degree and the frequency f_{ (Hz)} in Hz. The formula can be written as,

N _{(RPM)} = 0.167 * a * f

Here, the step angle is equal to the 360 (complete rotation in degree) divided by the steps per revolution.

a = 360 / steps per revolution

Hence the rated speed can be written as,

N = 360 * 0.167 * f / steps per revolution

N = 60 * a * / steps per revolution

__Example: __

Let us calculate the stepper motor maximum speed, rated speed, minimum step time, rated power required by using the following data.

Steps per Revolution: 1000.

Frequency: 1500 Hz.

Voltage = 12 Volts

Current = 10 mA.

Inductance = 10 mH

** Solution**:

Maximum Speed in RPS = 12 / (2*0.01*0.01*1000)

Minimum Step Time = 2 * 0.01 * 0.01 * /12 = 2.4 ms

Power in Watts = 12 * 0.01 = 1.2Watts

Rated Speed in RPM = 0.0167 * 1500 * (360/1000) = 9.018 RPM’