Equivalent Current for Fluctuating and Intermittent Loads Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation))
Ieq = sqrt((1/T)*int((i)^2,x,1,T))
This formula uses 2 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
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
Equivalent Current - (Measured in Ampere) - Equivalent Current is Defined as a a constant current that would produce the same effect on a system as the original varying load.
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.
Electric Current - (Measured in Ampere) - Electric Current Refers to the Current Flowing through the winding During Transient Operations or any other Operating Condition. This Current is Typically Measured in Units of Amperes (A).
STEP 1: Convert Input(s) to Base Unit
Time Taken for Complete Operation: 6.88 Second --> 6.88 Second No Conversion Required
Electric Current: 2.345 Ampere --> 2.345 Ampere No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ieq = sqrt((1/T)*int((i)^2,x,1,T)) --> sqrt((1/6.88)*int((2.345)^2,x,1,6.88))
Evaluating ... ...
Ieq = 2.16789024410027
STEP 3: Convert Result to Output's Unit
2.16789024410027 Ampere --> No Conversion Required
FINAL ANSWER
2.16789024410027 2.16789 Ampere <-- Equivalent Current
(Calculation completed in 00.020 seconds)

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Heritage Institute of Technology ( HITK), Kolkata
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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
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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
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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
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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)

Equivalent Current for Fluctuating and Intermittent Loads Formula

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

Contrast the Methods Used to Find the Equivalent Current for Fluctuating and Intermittent Loads?

The Choice between RMS current calculation and duty cycle analysis depends on the nature of the load and the level of accuracy required in the analysis. For fluctuating loads with continuous waveforms, RMS current calculation is appropriate, while for intermittent loads with distinct on-off patterns, duty cycle analysis provides a more accurate representation.

How to Calculate Equivalent Current for Fluctuating and Intermittent Loads?

Equivalent Current for Fluctuating and Intermittent Loads calculator uses Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation)) to calculate the Equivalent Current, The Equivalent Current for Fluctuating and Intermittent Loads formula is defined as the theoretical representation of the fluctuating or intermittent load as a constant current that would produce the same effect on a system as the original varying load. Equivalent Current is denoted by Ieq symbol.

How to calculate Equivalent Current for Fluctuating and Intermittent Loads using this online calculator? To use this online calculator for Equivalent Current for Fluctuating and Intermittent Loads, enter Time Taken for Complete Operation (T) & Electric Current (i) and hit the calculate button. Here is how the Equivalent Current for Fluctuating and Intermittent Loads calculation can be explained with given input values -> 2.16789 = sqrt((1/6.88)*int((2.345)^2,x,1,6.88)).

FAQ

What is Equivalent Current for Fluctuating and Intermittent Loads?
The Equivalent Current for Fluctuating and Intermittent Loads formula is defined as the theoretical representation of the fluctuating or intermittent load as a constant current that would produce the same effect on a system as the original varying load and is represented as Ieq = sqrt((1/T)*int((i)^2,x,1,T)) or Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,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 & Electric Current Refers to the Current Flowing through the winding During Transient Operations or any other Operating Condition. This Current is Typically Measured in Units of Amperes (A).
How to calculate Equivalent Current for Fluctuating and Intermittent Loads?
The Equivalent Current for Fluctuating and Intermittent Loads formula is defined as the theoretical representation of the fluctuating or intermittent load as a constant current that would produce the same effect on a system as the original varying load is calculated using Equivalent Current = sqrt((1/Time Taken for Complete Operation)*int((Electric Current)^2,x,1,Time Taken for Complete Operation)). To calculate Equivalent Current for Fluctuating and Intermittent Loads, you need Time Taken for Complete Operation (T) & Electric Current (i). With our tool, you need to enter the respective value for Time Taken for Complete Operation & Electric Current 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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