## Average Back emf with negligible commutation overlap Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle)
Eb = 1.35*EL*cos(α)
This formula uses 1 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
Variables Used
Average back emf voltage - (Measured in Volt) - Average back emf voltage 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 voltage between the two legs (called phase to phase or line to line) is 240V and the phase to neutral voltage is 120V.
Firing angle - (Measured in Radian) - Firing angle is the angle in the AC cycle at which the thyristor starts conducting at the application of positive voltage to gate.
STEP 1: Convert Input(s) to Base Unit
Ac line voltage: 120 Volt --> 120 Volt No Conversion Required
Firing angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Eb = 1.35*EL*cos(α) --> 1.35*120*cos(0.1745329251994)
Evaluating ... ...
Eb = 159.538855987979
STEP 3: Convert Result to Output's Unit
159.538855987979 Volt --> No Conversion Required
159.538855987979 Volt <-- Average back emf voltage
(Calculation completed in 00.016 seconds)
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## Credits

Created by Aman Dhussawat
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI
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## < 8 Electric Drives Calculators

Torque generated by Scherbius Drive

## Torque generated by Scherbius Drive

Formula
"T"_{"S"} = 1.35*(("E"_{"b"}*"E"_{"L"}*"I"_{"d"}*"E"_{"r"})/("E"_{"b"}*"ω"_{"s"}))

Example
"5408.405N*m"=1.35*(("159.538V"*"120V"*"2.2A"*"156V")/("159.538V"*"10.28r/s"))

Calculator
LaTeX
Torque = 1.35*((Average back emf voltage*Ac line voltage*Rectified Rotor Current*RMS value of Rotor side line voltage)/(Average back emf voltage*Angular Frequency))
Torque of Squirrel Cage Induction Motor

## Torque of Squirrel Cage Induction Motor

Formula
"T"_{"S"} = ("K"*("V"^2)*"R"_{"L"}) /(("R"_{"1"}+"R"_{"L"})^2+("X"_{"1"}+"X"_{"L"})^2)

Example
"5.485431N*m"=("0.11"*("200V"^2)*"10.1Ω") /(("11Ω"+"10.1Ω")^2+("42.5Ω"+"45Ω")^2)

Calculator
LaTeX
Torque = (Constant*(Voltage^2)*Rotor resistance) /((Resistance+Rotor resistance)^2+(Stator reactance+Rotor reactance)^2)
Slip of Scherbius Drive given RMS Line Voltage

## Slip of Scherbius Drive given RMS Line Voltage

Formula
"s" = ("E"_{"b"}/"E"_{"r"})*"modulus"(cos("α"))

Example
"1.007143"=("159.538V"/"156V")*"modulus"(cos("10°"))

Calculator
LaTeX
Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle))
DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage

## DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage

Formula
"E"_{"DC"} = (3*sqrt(2))*("E"_{"r"}/pi)

Example
"210.674V"=(3*sqrt(2))*("156V"/pi)

Calculator
LaTeX
DC Voltage = (3*sqrt(2))*(RMS value of Rotor side line voltage/pi)
Average Back emf with negligible commutation overlap

## Average Back emf with negligible commutation overlap

Formula
"E"_{"b"} = 1.35*"E"_{"L"}*cos("α")

Example
"159.5389V"=1.35*"120V"*cos("10°")

Calculator
LaTeX
Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle)
Gear Tooth Ratio

## Gear Tooth Ratio

Formula
"a" = ("n"_{"1"}/"n"_{"2"})

Example
"3"=("60"/"20")

Calculator
LaTeX
Gear Tooth Ratio = (No. of Teeth of Driving Gear/No. of Teeth of Driven Gear)
DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage at Slip

## DC Output Voltage of Rectifier in Scherbius drive given Rotor RMS Line Voltage at Slip

Formula
"E"_{"DC"} = 1.35*"E"_{"rs"}

Example
"210.897V"=1.35*"156.22V"

Calculator
LaTeX
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

## DC Output Voltage of Rectifier in Scherbius drive given Maximum Rotor Voltage

Formula
"E"_{"DC"} = 3*("E"_{"rm"}/pi)

Example
"210.0845V"=3*("220V"/pi)

Calculator
LaTeX
DC Voltage = 3*(Peak Voltage/pi)

## Average Back emf with negligible commutation overlap Formula

Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle)
Eb = 1.35*EL*cos(α)

## What are the advantages of Static Scherbius drive ?

The principal disadvantage of the sub synchronous cascade drive is its low power factor particularly at reduced speeds. The reactive power consumption of the inverter is largely responsible for the low power factor of the cascade drive

## How to Calculate Average Back emf with negligible commutation overlap?

Average Back emf with negligible commutation overlap calculator uses Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle) to calculate the Average back emf voltage, The Average Back emf with negligible commutation overlap formula is defined as for a line commutated three phase bridge inverter with negligible commutation overlap the average back e.m.f . Average back emf voltage is denoted by Eb symbol.

How to calculate Average Back emf with negligible commutation overlap using this online calculator? To use this online calculator for Average Back emf with negligible commutation overlap, enter Ac line voltage (EL) & Firing angle (α) and hit the calculate button. Here is how the Average Back emf with negligible commutation overlap calculation can be explained with given input values -> 159.5389 = 1.35*120*cos(0.1745329251994) .

### FAQ

What is Average Back emf with negligible commutation overlap?
The Average Back emf with negligible commutation overlap formula is defined as for a line commutated three phase bridge inverter with negligible commutation overlap the average back e.m.f and is represented as Eb = 1.35*EL*cos(α) or Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle) . Ac line voltage is voltage between the two legs (called phase to phase or line to line) is 240V and the phase to neutral voltage is 120V & Firing angle is the angle in the AC cycle at which the thyristor starts conducting at the application of positive voltage to gate.
How to calculate Average Back emf with negligible commutation overlap?
The Average Back emf with negligible commutation overlap formula is defined as for a line commutated three phase bridge inverter with negligible commutation overlap the average back e.m.f is calculated using Average back emf voltage = 1.35*Ac line voltage*cos(Firing angle) . To calculate Average Back emf with negligible commutation overlap, you need Ac line voltage (EL) & Firing angle (α). With our tool, you need to enter the respective value for Ac line voltage & Firing angle 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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