Torque Generated by Scherbius Drive Calculator

✖Back emf the back emf is calculated based on the difference between the supplied voltage and the loss from the current through the resistance.ⓘ Back Emf [E_b]			+10% -10%
✖Ac line voltage is the amount of voltage which a power line delivers to its destination, or the point where it is being consumed.ⓘ AC Line Voltage [E_L]			+10% -10%
✖Rectified Rotor Current which in turn is equal to the difference between the rectified Rotor voltage andthe average back e.m.f of the inverter divided by the resistance of the DC link Inductor.ⓘ Rectified Rotor Current [I_r]			+10% -10%
✖RMS value of Rotor side line voltage in static scherbius drive. RMS value (root mean square) stands for the square root of means of squares of instantaneous values.ⓘ RMS Value of Rotor Side Line Voltage [E_r]			+10% -10%
✖The angular frequency refers to the angular displacement of any element of the wave per unit of time or the rate of change of the phase of the waveform. It is represented by ω.ⓘ Angular Frequency [ω_f]			+10% -10%

✖Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity.ⓘ Torque Generated by Scherbius Drive [τ]

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Formula

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Torque Generated by Scherbius Drive

Formula

`"τ" = 1.35*(("E"_{"b"}*"E"_{"L"}*"I"_{"r"}*"E"_{"r"})/("E"_{"b"}*"ω"_{"f"}))`

Example

`"5.346N*m"=1.35*(("145V"*"120V"*"0.11A"*"156V")/("145V"*"520rad/s"))`

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Torque Generated by Scherbius Drive Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))
τ = 1.35*((E_b*E_L*I_r*E_r)/(E_b*ω_f))
This formula uses 6 Variables

Variables Used

Torque - (Measured in Newton Meter) - Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity.
Back Emf - (Measured in Volt) - Back emf the back emf is calculated based on the difference between the supplied voltage and the loss from the current through the resistance.
AC Line Voltage - (Measured in Volt) - Ac line voltage is the amount of voltage which a power line delivers to its destination, or the point where it is being consumed.
Rectified Rotor Current - (Measured in Ampere) - Rectified Rotor Current which in turn is equal to the difference between the rectified Rotor voltage andthe average back e.m.f of the inverter divided by the resistance of the DC link Inductor.
RMS Value of Rotor Side Line Voltage - (Measured in Volt) - RMS value of Rotor side line voltage in static scherbius drive. RMS value (root mean square) stands for the square root of means of squares of instantaneous values.
Angular Frequency - (Measured in Radian per Second) - The angular frequency refers to the angular displacement of any element of the wave per unit of time or the rate of change of the phase of the waveform. It is represented by ω.

STEP 1: Convert Input(s) to Base Unit

Back Emf: 145 Volt --> 145 Volt No Conversion Required
AC Line Voltage: 120 Volt --> 120 Volt No Conversion Required
Rectified Rotor Current: 0.11 Ampere --> 0.11 Ampere No Conversion Required
RMS Value of Rotor Side Line Voltage: 156 Volt --> 156 Volt No Conversion Required
Angular Frequency: 520 Radian per Second --> 520 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = 1.35*((E_b*E_L*I_r*E_r)/(E_b*ω_f)) --> 1.35*((145*120*0.11*156)/(145*520))

Evaluating ... ...

τ = 5.346

STEP 3: Convert Result to Output's Unit

5.346 Newton Meter --> No Conversion Required

FINAL ANSWER

5.346 Newton Meter <-- Torque

(Calculation completed in 00.008 seconds)

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Credits

Created by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has created this Calculator and 100+ more calculators!

Verified by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has verified this Calculator and 100+ more calculators!

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Starting Time for Induction Motor under No Load

Go 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)

Torque of Squirrel Cage Induction Motor

Go Torque = (Constant*Voltage^2*Rotor Resistance) /((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

Torque Generated by Scherbius Drive

Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

Time Taken for Drive Speed

Go Time Taken for Drive Speed = Moment of Inertia*int(1/(Torque-Load Torque),x,Initial angular Velocity,Final Angular Velocity)

Motor Terminal Voltage in Regenerative Braking

Go Motor Terminal Voltage = (1/Time Taken for Complete Operation)*int(Source Voltage*x,x,On-Period Time,Time Taken for Complete Operation)

Equivalent Current for Fluctuating and Intermittent Loads

Go Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation))

Energy Dissipated during Transient Operation

Go Energy Dissipated in Transient Operation = int(Resistance of Motor Winding*(Electric Current)^2,x,0,Time Taken for Complete Operation)

Slip of Scherbius Drive given RMS Line Voltage

Go Slip = (Back Emf/RMS Value of Rotor Side Line Voltage)*modulus(cos(Firing Angle))

DC Output Voltage of Rectifier in Scherbius Drive Given Rotor RMS Line Voltage

Go DC Voltage = (3*sqrt(2))*(RMS Value of Rotor Side Line Voltage/pi)

Gear Tooth Ratio

Go Gear Tooth Ratio = Number 1 of Teeth of Driving Gear/Number 2 of Teeth of Driven Gear

Average Back Emf with Negligible Commutation Overlap

Go Back Emf = 1.35*AC Line Voltage*cos(Firing Angle)

DC Output Voltage of Rectifier in Scherbius Drive Given Rotor RMS Line Voltage at Slip

Go DC Voltage = 1.35*RMS Value of Rotor Side Line Voltage with Slip

DC Output Voltage of Rectifier in Scherbius Drive Given Maximum Rotor Voltage

Go DC Voltage = 3*(Peak Voltage/pi)

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Torque of Squirrel Cage Induction Motor

Go Torque = (Constant*Voltage^2*Rotor Resistance) /((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

Torque Generated by Scherbius Drive

Go Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

Wheel Force Function

Go Wheel Force Function = (Gear Ratio of Transmission*Gear Ratio of Final Drive*Engine Torque)/(2*Radius of Wheel)

Rotating Speed of Driven Wheel

Go Rotating Speed of Driven Wheels = (Speed of Motor Shaft in Powerplant)/(Gear Ratio of Transmission*Gear Ratio of Final Drive)

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Coefficient of Adhesion

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Time for Acceleration

Go Time for Acceleration = Crest Speed/Acceleration of Train

Schedule Time

Go Schedule Time = Running Time of Train+Stop Time of Train

Retardation of Train

Go Retardation of Train = Crest Speed/Time for Retardation

Time for Retardation

Go Time for Retardation = Crest Speed/Retardation of Train

Accelerating Weight of Train

Go Accelerating Weight of Train = Weight of Train*1.10

Torque Generated by Scherbius Drive Formula

Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))
τ = 1.35*((E_b*E_L*I_r*E_r)/(E_b*ω_f))

What are some features of Scherbius drive?

Since power is fed back to the source, unlike in rotor resistance control where it is wasted in external resistors, drive has a high efficiency. The efficiency is even higher than the static voltage control for the same reason.
Drive Input power is the difference between motor input power and the power fed back. Reactive power is the sum of the motor and inverter reactive powers. Therefore this drive has a poor power factor throughout its range of operation.

How to Calculate Torque Generated by Scherbius Drive?

Torque Generated by Scherbius Drive calculator uses Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency)) to calculate the Torque, The Torque generated by Scherbius Drive formula is defined as steady state torque which is proportional to the rectified Rotor current which in turn is equal to the difference between the rectified Rotor voltage and the average back e.m.f of the inverter divided by the resistance of the DC link Inductor. Torque is denoted by τ symbol.

How to calculate Torque Generated by Scherbius Drive using this online calculator? To use this online calculator for Torque Generated by Scherbius Drive, enter Back Emf (E_b), AC Line Voltage (E_L), Rectified Rotor Current (I_r), RMS Value of Rotor Side Line Voltage (E_r) & Angular Frequency (ω_f) and hit the calculate button. Here is how the Torque Generated by Scherbius Drive calculation can be explained with given input values -> 5.346 = 1.35*((145*120*0.11*156)/(145*520)).

FAQ

What is Torque Generated by Scherbius Drive?

The Torque generated by Scherbius Drive formula is defined as steady state torque which is proportional to the rectified Rotor current which in turn is equal to the difference between the rectified Rotor voltage and the average back e.m.f of the inverter divided by the resistance of the DC link Inductor and is represented as τ = 1.35*((E_b*E_L*I_r*E_r)/(E_b*ω_f)) or Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency)). Back emf the back emf is calculated based on the difference between the supplied voltage and the loss from the current through the resistance, Ac line voltage is the amount of voltage which a power line delivers to its destination, or the point where it is being consumed, Rectified Rotor Current which in turn is equal to the difference between the rectified Rotor voltage andthe average back e.m.f of the inverter divided by the resistance of the DC link Inductor, RMS value of Rotor side line voltage in static scherbius drive. RMS value (root mean square) stands for the square root of means of squares of instantaneous values & The angular frequency refers to the angular displacement of any element of the wave per unit of time or the rate of change of the phase of the waveform. It is represented by ω.

How to calculate Torque Generated by Scherbius Drive?

The Torque generated by Scherbius Drive formula is defined as steady state torque which is proportional to the rectified Rotor current which in turn is equal to the difference between the rectified Rotor voltage and the average back e.m.f of the inverter divided by the resistance of the DC link Inductor is calculated using Torque = 1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency)). To calculate Torque Generated by Scherbius Drive, you need Back Emf (E_b), AC Line Voltage (E_L), Rectified Rotor Current (I_r), RMS Value of Rotor Side Line Voltage (E_r) & Angular Frequency (ω_f). With our tool, you need to enter the respective value for Back Emf, AC Line Voltage, Rectified Rotor Current, RMS Value of Rotor Side Line Voltage & Angular Frequency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Torque?

In this formula, Torque uses Back Emf, AC Line Voltage, Rectified Rotor Current, RMS Value of Rotor Side Line Voltage & Angular Frequency. We can use 2 other way(s) to calculate the same, which is/are as follows -

Torque = (Constant*Voltage^2*Rotor Resistance) /((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)
Torque = (Constant*Voltage^2*Rotor Resistance) /((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2)

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