RMS Load Voltage of Three Phase Uncontrolled Rectifier Calculator

✖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%

✖RMS Load Voltage is typically higher than the average load voltage, because the load voltage is a pulsating DC voltage with a ripple voltage superimposed on it.ⓘ RMS Load Voltage of Three Phase Uncontrolled Rectifier [V_L(rms)]

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Formula

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RMS Load Voltage of Three Phase Uncontrolled Rectifier

Formula

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

Example

`"3154.042V"=("15"*"220V")/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))`

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RMS Load Voltage of Three Phase Uncontrolled Rectifier Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Load Voltage = (Winding Ratio*Peak Input Voltage)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))
V_L(rms) = (n*V_max)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

Variables Used

RMS Load Voltage - (Measured in Volt) - RMS Load Voltage is typically higher than the average load voltage, because the load voltage is a pulsating DC voltage with a ripple voltage superimposed on it.
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.

STEP 1: Convert Input(s) to Base Unit

Winding Ratio: 15 --> No Conversion Required
Peak Input Voltage: 220 Volt --> 220 Volt No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_L(rms) = (n*V_max)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi)) --> (15*220)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))

Evaluating ... ...

V_L(rms) = 3154.04165371313

STEP 3: Convert Result to Output's Unit

3154.04165371313 Volt --> No Conversion Required

FINAL ANSWER

3154.04165371313 ≈ 3154.042 Volt <-- RMS Load Voltage

(Calculation completed in 00.004 seconds)

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< 9 Full Wave Calculators

RMS Load Current of Three Phase Uncontrolled Rectifier

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

Average Diode Current of Three Phase Uncontrolled Rectifier

Go Average Diode 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

Power Delivered to Load in Three Phase Uncontrolled Rectifier

Go Delivery Power = AC Voltage*Average Output Voltage

RMS Load Voltage of Three Phase Uncontrolled Rectifier Formula

RMS Load Voltage = (Winding Ratio*Peak Input Voltage)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))
V_L(rms) = (n*V_max)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi))

What is Average Power of dc Three Phase Uncontrolled Rectifier?

The load current of a DC three-phase uncontrolled rectifier depends on the configuration of the rectifier, the type of load, and the input AC voltage. Common configurations include the six-pulse and twelve-pulse rectifiers. Ideal conditions with no voltage drops or losses in the rectifier. In practice, there will be some losses in the diodes, and the actual DC load current may be slightly lower.

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

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

How to calculate RMS Load Voltage of Three Phase Uncontrolled Rectifier using this online calculator? To use this online calculator for RMS Load Voltage of Three Phase Uncontrolled Rectifier, enter Winding Ratio (n) & Peak Input Voltage (V_max) and hit the calculate button. Here is how the RMS Load Voltage of Three Phase Uncontrolled Rectifier calculation can be explained with given input values -> 3154.042 = (15*220)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi)).

FAQ

What is RMS Load Voltage of Three Phase Uncontrolled Rectifier?

RMS load Voltage of Three Phase Uncontrolled Rectifier is important because it is the voltage that is seen by the load circuit. It is also the voltage that is used to calculate the power delivered to the load. The RMS value of the load voltage of an uncontrolled rectifier is always higher than the average load voltage. This is because the load voltage of an uncontrolled rectifier is a pulsating DC voltage with a ripple voltage superimposed on it. The ripple voltage is the AC component of the load voltage, and it is caused by the fact that the rectified sinusoidal waveform is not a pure DC waveform and is represented as V_L(rms) = (n*V_max)/sqrt(2)*sqrt(1+(3*sqrt(3))/(2*pi)) or RMS Load Voltage = (Winding Ratio*Peak Input Voltage)/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.

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

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