Starting Time for Induction Motor under No Load Calculator

✖Mechanical Time Constant of Motor is defined as the time taken by motor to reach its synchronous speed from standstill under constant accelerating torque equal to the maximum torque of the motor.ⓘ Mechanical Time Constant of Motor [τ_m]			+10% -10%
✖Slip energy recovery is one of the methods of controlling the speed of an induction motor.ⓘ Slip [s]			+10% -10%
✖Slip at Maximum Torque refers to the slip value at which the motor produces its highest torque while still maintaining a stable operating condition.ⓘ Slip at Maximum Torque [s_m]			+10% -10%

✖The Starting Time for Induction Motor on No Load is the duration required for the motor to accelerate from standstill to its rated speed when no mechanical load is applied to the motor shaft.ⓘ Starting Time for Induction Motor under No Load [t_s]

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Starting Time for Induction Motor under No Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05)
t_s = (-τ_m/2)*int((s/s_m+s_m/s)*x,x,1,0.05)
This formula uses 1 Functions, 4 Variables

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Starting Time For Induction motor on No Load - (Measured in Second) - The Starting Time for Induction Motor on No Load is the duration required for the motor to accelerate from standstill to its rated speed when no mechanical load is applied to the motor shaft.
Mechanical Time Constant of Motor - (Measured in Second) - Mechanical Time Constant of Motor is defined as the time taken by motor to reach its synchronous speed from standstill under constant accelerating torque equal to the maximum torque of the motor.
Slip - Slip energy recovery is one of the methods of controlling the speed of an induction motor.
Slip at Maximum Torque - Slip at Maximum Torque refers to the slip value at which the motor produces its highest torque while still maintaining a stable operating condition.

STEP 1: Convert Input(s) to Base Unit

Mechanical Time Constant of Motor: 2.359 Second --> 2.359 Second No Conversion Required
Slip: 0.83 --> No Conversion Required
Slip at Maximum Torque: 0.67 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t_s = (-τ_m/2)*int((s/s_m+s_m/s)*x,x,1,0.05) --> (-2.359/2)*int((0.83/0.67+0.67/0.83)*x,x,1,0.05)

Evaluating ... ...

t_s = 1.2036324512228

STEP 3: Convert Result to Output's Unit

1.2036324512228 Second --> No Conversion Required

FINAL ANSWER

1.2036324512228 ≈ 1.203632 Second <-- Starting Time For Induction motor on No Load

(Calculation completed in 00.020 seconds)

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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Starting Time for Induction Motor under No Load Formula

LaTeX Go

How does the Starting Time of an Induction Motor on No Load differs under Load Conditions?

The starting time of an induction motor on no load is typically shorter than its starting time under loaded conditions. This is because there is minimal resistance to the rotor's motion when starting on no load, allowing the motor to reach its rated speed more quickly. Conversely, starting under loaded conditions involves additional inertia and mechanical resistance, requiring more torque and time to overcome the load and reach the rated speed.

How to Calculate Starting Time for Induction Motor under No Load?

Starting Time for Induction Motor under No Load calculator uses Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05) to calculate the Starting Time For Induction motor on No Load, The Starting Time for Induction Motor under No Load refers to the duration it takes for the motor to accelerate from rest to its rated speed when there is no mechanical load applied to the shaft. It characterizes the time required for the motor to reach its operating speed under no load conditions. Starting Time For Induction motor on No Load is denoted by t_s symbol.

How to calculate Starting Time for Induction Motor under No Load using this online calculator? To use this online calculator for Starting Time for Induction Motor under No Load, enter Mechanical Time Constant of Motor (τ_m), Slip (s) & Slip at Maximum Torque (s_m) and hit the calculate button. Here is how the Starting Time for Induction Motor under No Load calculation can be explained with given input values -> 1.203632 = (-2.359/2)*int((0.83/0.67+0.67/0.83)*x,x,1,0.05).

FAQ

What is Starting Time for Induction Motor under No Load?

The Starting Time for Induction Motor under No Load refers to the duration it takes for the motor to accelerate from rest to its rated speed when there is no mechanical load applied to the shaft. It characterizes the time required for the motor to reach its operating speed under no load conditions and is represented as t_s = (-τ_m/2)*int((s/s_m+s_m/s)*x,x,1,0.05) or Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05). Mechanical Time Constant of Motor is defined as the time taken by motor to reach its synchronous speed from standstill under constant accelerating torque equal to the maximum torque of the motor, Slip energy recovery is one of the methods of controlling the speed of an induction motor & Slip at Maximum Torque refers to the slip value at which the motor produces its highest torque while still maintaining a stable operating condition.

How to calculate Starting Time for Induction Motor under No Load?

The Starting Time for Induction Motor under No Load refers to the duration it takes for the motor to accelerate from rest to its rated speed when there is no mechanical load applied to the shaft. It characterizes the time required for the motor to reach its operating speed under no load conditions is calculated using Starting Time For Induction motor on No Load = (-Mechanical Time Constant of Motor/2)*int((Slip/Slip at Maximum Torque+Slip at Maximum Torque/Slip)*x,x,1,0.05). To calculate Starting Time for Induction Motor under No Load, you need Mechanical Time Constant of Motor (τ_m), Slip (s) & Slip at Maximum Torque (s_m). With our tool, you need to enter the respective value for Mechanical Time Constant of Motor, Slip & Slip at Maximum Torque and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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