Motor Terminal Voltage in Regenerative Braking Calculator

✖Time Taken for Complete Operation Represent the Entire Duration of Operation or a Significant Portion of it. And It is the Duration Over Which the Integral is being Calculated.ⓘ Time Taken for Complete Operation [T]			+10% -10%
✖Source voltage is defined as the voltage or potential difference of the source which is supplying voltage.ⓘ Source Voltage [V_s]			+10% -10%
✖On-Period Time Refers to the Duration of Time During Which a System is Actively Turned on or in an Active State Within a Specified Time Frame or Cycle.ⓘ On-Period Time [t_on]			+10% -10%

✖Motor Terminal Voltage Refers to the Voltage Measured at the Terminals of the Electric Motor While it acts as a Generator, Converting Kinetic Energy Back into Electrical Energy.ⓘ Motor Terminal Voltage in Regenerative Braking [V_a]

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Formula

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Motor Terminal Voltage in Regenerative Braking

Formula

`"V"_{"a"} = (1/"T")*int("V"_{"s"}*x,x,"t"_{"on"},"T")`

Example

`"385.8454V"=(1/"6.88s")*int("118V"*x,x,"1.53s","6.88s")`

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Motor Terminal Voltage in Regenerative Braking Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Motor Terminal Voltage - (Measured in Volt) - Motor Terminal Voltage Refers to the Voltage Measured at the Terminals of the Electric Motor While it acts as a Generator, Converting Kinetic Energy Back into Electrical Energy.
Time Taken for Complete Operation - (Measured in Second) - Time Taken for Complete Operation Represent the Entire Duration of Operation or a Significant Portion of it. And It is the Duration Over Which the Integral is being Calculated.
Source Voltage - (Measured in Volt) - Source voltage is defined as the voltage or potential difference of the source which is supplying voltage.
On-Period Time - (Measured in Second) - On-Period Time Refers to the Duration of Time During Which a System is Actively Turned on or in an Active State Within a Specified Time Frame or Cycle.

STEP 1: Convert Input(s) to Base Unit

Time Taken for Complete Operation: 6.88 Second --> 6.88 Second No Conversion Required
Source Voltage: 118 Volt --> 118 Volt No Conversion Required
On-Period Time: 1.53 Second --> 1.53 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_a = (1/T)*int(V_s*x,x,t_on,T) --> (1/6.88)*int(118*x,x,1.53,6.88)

Evaluating ... ...

V_a = 385.845421511628

STEP 3: Convert Result to Output's Unit

385.845421511628 Volt --> No Conversion Required

FINAL ANSWER

385.845421511628 ≈ 385.8454 Volt <-- Motor Terminal Voltage

(Calculation completed in 00.005 seconds)

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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< 13 Electric Drives Calculators

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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)

Motor Terminal Voltage in Regenerative Braking Formula

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

Explain How a Motor Operates as a Generator During Regenerative Braking?

During regenerative braking, the motor reverses its operation, acting as a generator rather than a motor. As the vehicle slows down, the motor's rotor continues to rotate due to momentum, inducing a voltage in the motor windings known as back electromotive force (EMF). This induced voltage opposes the current flow in the windings, generating electrical energy that can be stored in the vehicle's battery or used to power other systems.

How to Calculate Motor Terminal Voltage in Regenerative Braking?

Motor Terminal Voltage in Regenerative Braking calculator uses Motor Terminal Voltage = (1/Time Taken for Complete Operation)*int(Source Voltage*x,x,On-Period Time,Time Taken for Complete Operation) to calculate the Motor Terminal Voltage, The Motor Terminal Voltage in Regenerative Braking refers to the voltage measured at the terminals of the electric motor while it acts as a generator, converting kinetic energy (motion) back into electrical energy to be fed back into the power source. Motor Terminal Voltage is denoted by V_a symbol.

How to calculate Motor Terminal Voltage in Regenerative Braking using this online calculator? To use this online calculator for Motor Terminal Voltage in Regenerative Braking, enter Time Taken for Complete Operation (T), Source Voltage (V_s) & On-Period Time (t_on) and hit the calculate button. Here is how the Motor Terminal Voltage in Regenerative Braking calculation can be explained with given input values -> 385.8454 = (1/6.88)*int(118*x,x,1.53,6.88).

FAQ

What is Motor Terminal Voltage in Regenerative Braking?

The Motor Terminal Voltage in Regenerative Braking refers to the voltage measured at the terminals of the electric motor while it acts as a generator, converting kinetic energy (motion) back into electrical energy to be fed back into the power source and is represented as V_a = (1/T)*int(V_s*x,x,t_on,T) or Motor Terminal Voltage = (1/Time Taken for Complete Operation)*int(Source Voltage*x,x,On-Period Time,Time Taken for Complete Operation). Time Taken for Complete Operation Represent the Entire Duration of Operation or a Significant Portion of it. And It is the Duration Over Which the Integral is being Calculated, Source voltage is defined as the voltage or potential difference of the source which is supplying voltage & On-Period Time Refers to the Duration of Time During Which a System is Actively Turned on or in an Active State Within a Specified Time Frame or Cycle.

How to calculate Motor Terminal Voltage in Regenerative Braking?

The Motor Terminal Voltage in Regenerative Braking refers to the voltage measured at the terminals of the electric motor while it acts as a generator, converting kinetic energy (motion) back into electrical energy to be fed back into the power source is calculated using Motor Terminal Voltage = (1/Time Taken for Complete Operation)*int(Source Voltage*x,x,On-Period Time,Time Taken for Complete Operation). To calculate Motor Terminal Voltage in Regenerative Braking, you need Time Taken for Complete Operation (T), Source Voltage (V_s) & On-Period Time (t_on). With our tool, you need to enter the respective value for Time Taken for Complete Operation, Source Voltage & On-Period Time 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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