RMS Load Current of Three Phase Uncontrolled Rectifier Calculator

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✖Winding Ratio of an uncontrolled rectifier is the ratio of the number of turns on the primary winding to the number of turns on the secondary winding of the transformer.ⓘ Winding Ratio [n]			+10% -10%
✖Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.ⓘ Peak Input Voltage [V_max]			+10% -10%
✖Load Resistance of uncontrolled rectifier is a type of rectifier circuit that uses a resistive load to convert AC voltage to DC voltage.ⓘ Load Resistance [R_L]			+10% -10%

✖Root Mean Square Current is defined as the root mean square of current flowing through a rectifier circuit.ⓘ RMS Load Current of Three Phase Uncontrolled Rectifier [I_rms]

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Formula

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RMS Load Current of Three Phase Uncontrolled Rectifier

Formula

`"I"_{"rms"} = ("n"*"V"_{"max"})/ ("R"_{"L"}*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))`

Example

`"451.222A"=("15"*"220V")/ ("6.99Ω"*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))`

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RMS Load Current of Three Phase Uncontrolled Rectifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))
I_rms = (n*V_max)/ (R_L*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - Square root function, sqrt(Number)

Variables Used

Root Mean Square Current - (Measured in Ampere) - Root Mean Square Current is defined as the root mean square of current flowing through a rectifier circuit.
Winding Ratio - Winding Ratio of an uncontrolled rectifier is the ratio of the number of turns on the primary winding to the number of turns on the secondary winding of the transformer.
Peak Input Voltage - (Measured in Volt) - Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit.
Load Resistance - (Measured in Ohm) - Load Resistance of uncontrolled rectifier is a type of rectifier circuit that uses a resistive load to convert AC voltage to DC voltage.

STEP 1: Convert Input(s) to Base Unit

Winding Ratio: 15 --> No Conversion Required
Peak Input Voltage: 220 Volt --> 220 Volt No Conversion Required
Load Resistance: 6.99 Ohm --> 6.99 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_rms = (n*V_max)/ (R_L*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)) --> (15*220)/ (6.99*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))

Evaluating ... ...

I_rms = 451.22198193321

STEP 3: Convert Result to Output's Unit

451.22198193321 Ampere --> No Conversion Required

FINAL ANSWER

451.22198193321 ≈ 451.222 Ampere <-- Root Mean Square Current

(Calculation completed in 00.020 seconds)

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RMS Load Current of Three Phase Uncontrolled Rectifier

Go Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))

RMS Diode Current of Three Phase Uncontrolled Rectifier

Go Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1/3+sqrt(3)/(4*pi))

RMS Load Voltage of Three Phase Uncontrolled Rectifier

Go RMS Load Voltage = (Winding Ratio*Peak Input Voltage)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))

Average Load Current of Three Phase Uncontrolled Rectifier

Go Average Output Current = (3*sqrt(3)*Winding Ratio*Peak Input Voltage)/(2*pi*Load Resistance)

Average Diode Current of Three Phase Uncontrolled Rectifier

Go Average Output Current = (sqrt(3)*Winding Ratio*Peak Input Voltage)/(2*pi*Load Resistance)

Load Current of DC Three Phase Uncontrolled Rectifier

Go DC Load Current = (3*sqrt(3)*Peak Input Voltage)/(2*pi*Load Resistance)

Load Voltage of DC Three Phase Uncontrolled Rectifier

Go DC Load Voltage = (3*sqrt(3)*Peak Input Voltage)/(2*pi)

Load Voltage of Full Wave Three Phase Uncontrolled Rectifier

Go AC Voltage = (2*Winding Ratio*Peak Input Voltage)/pi

Average Power of DC Three Phase Uncontrolled Rectifier

Go Average Output Power = (27*Peak Input Voltage^2)/(pi^2*Load Resistance)

Power Delivered to Load in Three Phase Uncontrolled Rectifier

Go Delivery Power = AC Voltage*Average Output Voltage

RMS Load Current of Three Phase Uncontrolled Rectifier Formula

Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))
I_rms = (n*V_max)/ (R_L*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi))

What is Rms Value of Load current of Three Phase Uncontrolled Rectifier ?

The RMS (Root Mean Square) value of the load current in an uncontrolled rectifier depends on the configuration of the rectifier, the input voltage, and the load. The RMS current can be calculated based on the rectifier type and load. The peak value of the load current depends on the type of AC source, the load, and the configuration of the rectifier. If you know the peak or peak-to-peak load current, you can use that value directly.

How to Calculate RMS Load Current of Three Phase Uncontrolled Rectifier?

RMS Load Current of Three Phase Uncontrolled Rectifier calculator uses Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)) to calculate the Root Mean Square Current, RMS Load Current of Three Phase Uncontrolled Rectifier is important because it is the current that is seen by the load circuit. It is also the current that is used to calculate the power delivered to the load. The RMS value of the load current of an uncontrolled rectifier is always higher than the average load current. This is because the load current of an uncontrolled rectifier is a pulsating DC current with a ripple current superimposed on it. The ripple current is the AC component of the load current, and it is caused by the fact that the rectified sinusoidal waveform is not a pure DC waveform. Root Mean Square Current is denoted by I_rms symbol.

How to calculate RMS Load Current of Three Phase Uncontrolled Rectifier using this online calculator? To use this online calculator for RMS Load Current of Three Phase Uncontrolled Rectifier, enter Winding Ratio (n), Peak Input Voltage (V_max) & Load Resistance (R_L) and hit the calculate button. Here is how the RMS Load Current of Three Phase Uncontrolled Rectifier calculation can be explained with given input values -> 451.222 = (15*220)/ (6.99*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)).

FAQ

What is RMS Load Current of Three Phase Uncontrolled Rectifier?

RMS Load Current of Three Phase Uncontrolled Rectifier is important because it is the current that is seen by the load circuit. It is also the current that is used to calculate the power delivered to the load. The RMS value of the load current of an uncontrolled rectifier is always higher than the average load current. This is because the load current of an uncontrolled rectifier is a pulsating DC current with a ripple current superimposed on it. The ripple current is the AC component of the load current, and it is caused by the fact that the rectified sinusoidal waveform is not a pure DC waveform and is represented as I_rms = (n*V_max)/ (R_L*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)) or Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)). Winding Ratio of an uncontrolled rectifier is the ratio of the number of turns on the primary winding to the number of turns on the secondary winding of the transformer, Peak Input Voltage is the peak of the alternating voltage provided at the input of any electrical circuit & Load Resistance of uncontrolled rectifier is a type of rectifier circuit that uses a resistive load to convert AC voltage to DC voltage.

How to calculate RMS Load Current of Three Phase Uncontrolled Rectifier?

RMS Load Current of Three Phase Uncontrolled Rectifier is important because it is the current that is seen by the load circuit. It is also the current that is used to calculate the power delivered to the load. The RMS value of the load current of an uncontrolled rectifier is always higher than the average load current. This is because the load current of an uncontrolled rectifier is a pulsating DC current with a ripple current superimposed on it. The ripple current is the AC component of the load current, and it is caused by the fact that the rectified sinusoidal waveform is not a pure DC waveform is calculated using Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1+(3*sqrt(3))/(2*pi)). To calculate RMS Load Current of Three Phase Uncontrolled Rectifier, you need Winding Ratio (n), Peak Input Voltage (V_max) & Load Resistance (R_L). With our tool, you need to enter the respective value for Winding Ratio, Peak Input Voltage & Load Resistance 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 Root Mean Square Current?

In this formula, Root Mean Square Current uses Winding Ratio, Peak Input Voltage & Load Resistance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Root Mean Square Current = (Winding Ratio*Peak Input Voltage)/ (Load Resistance*sqrt(2))*sqrt(1/3+sqrt(3)/(4*pi))

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