Slip of Scherbius Drive given RMS Line Voltage Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle))
s = (Eb/Er)*modulus(cos(α))
This formula uses 2 Functions, 4 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
modulus - Modulus of number, modulus
Variables Used
Slip - Slip Energy Recovery is one of the methods of controlling the speed of an Induction motor.
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.
RMS value of Rotor side line voltage - (Measured in Volt) - RMS value of Rotor side line voltage in static scherbius drive.
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
Average back emf voltage: 159.538 Volt --> 159.538 Volt No Conversion Required
RMS value of Rotor side line voltage: 156 Volt --> 156 Volt No Conversion Required
Firing angle: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = (Eb/Er)*modulus(cos(α)) --> (159.538/156)*modulus(cos(0.1745329251994))
Evaluating ... ...
s = 1.00714268782091
STEP 3: Convert Result to Output's Unit
1.00714268782091 --> No Conversion Required
FINAL ANSWER
1.00714268782091 <-- Slip
(Calculation completed in 00.016 seconds)

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
Go 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
Go 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
Go 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
Go 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
Go 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
Go 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
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

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

Slip of Scherbius Drive given RMS Line Voltage Formula

Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle))
s = (Eb/Er)*modulus(cos(α))

What is slip power?

The slip power recovery (SPR) drive is an external system connected to the rotor circuit in place of the external resistors. The SPR provides speed and torque control like the resistors but can also recover the power taken off the rotor and feed it back into the power system to avoid energy waste.

How to Calculate Slip of Scherbius Drive given RMS Line Voltage?

Slip of Scherbius Drive given RMS Line Voltage calculator uses Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle)) to calculate the Slip, The Slip of Scherbius Drive given RMS Line Voltage formula is defined as neglecting the drop across the inductor. Slip is denoted by s symbol.

How to calculate Slip of Scherbius Drive given RMS Line Voltage using this online calculator? To use this online calculator for Slip of Scherbius Drive given RMS Line Voltage, enter Average back emf voltage (Eb), RMS value of Rotor side line voltage (Er) & Firing angle (α) and hit the calculate button. Here is how the Slip of Scherbius Drive given RMS Line Voltage calculation can be explained with given input values -> 1.007143 = (159.538/156)*modulus(cos(0.1745329251994)).

FAQ

What is Slip of Scherbius Drive given RMS Line Voltage?
The Slip of Scherbius Drive given RMS Line Voltage formula is defined as neglecting the drop across the inductor and is represented as s = (Eb/Er)*modulus(cos(α)) or Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle)). 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, RMS value of Rotor side line voltage in static scherbius drive & 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 Slip of Scherbius Drive given RMS Line Voltage?
The Slip of Scherbius Drive given RMS Line Voltage formula is defined as neglecting the drop across the inductor is calculated using Slip = (Average back emf voltage/RMS value of Rotor side line voltage)*modulus(cos(Firing angle)). To calculate Slip of Scherbius Drive given RMS Line Voltage, you need Average back emf voltage (Eb), RMS value of Rotor side line voltage (Er) & Firing angle (α). With our tool, you need to enter the respective value for Average back emf voltage, RMS value of Rotor side 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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