RMS Output Voltage for Resistive Load Calculator

✖Peak phase voltage refers to the maximum instantaneous voltage of each phase of the AC supply.ⓘ Peak Phase Voltage [V_m(3Φ-half)]			+10% -10%
✖Delay Angle of 3 Phase Half Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.ⓘ Delay Angle of 3 Phase Half Converter [α_d(3Φ-half)]			+10% -10%

✖RMS Output Voltage 3 Phase Half Converter is defined as the root mean square value of the voltage at output terminal of a half converter circuit.ⓘ RMS Output Voltage for Resistive Load [V_{rms(3Φ-half)}]

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Formula

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RMS Output Voltage for Resistive Load

Formula

`"V"_{"rms(3Φ-half)"} = sqrt(3)*"V"_{"m(3Φ-half)"}*(sqrt((1/6)+((sqrt(3)*cos(2*"α"_{"d(3Φ-half)"}))/(8*pi))))`

Example

`"125.7686V"=sqrt(3)*"222V"*(sqrt((1/6)+((sqrt(3)*cos(2*"75°"))/(8*pi))))`

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RMS Output Voltage for Resistive Load Solution

STEP 0: Pre-Calculation Summary

Formula Used

RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))))
V_{rms(3Φ-half)} = sqrt(3)*V_m(3Φ-half)*(sqrt((1/6)+((sqrt(3)*cos(2*α_d(3Φ-half)))/(8*pi))))
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
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 Output Voltage 3 Phase Half Converter - (Measured in Volt) - RMS Output Voltage 3 Phase Half Converter is defined as the root mean square value of the voltage at output terminal of a half converter circuit.
Peak Phase Voltage - (Measured in Volt) - Peak phase voltage refers to the maximum instantaneous voltage of each phase of the AC supply.
Delay Angle of 3 Phase Half Converter - (Measured in Radian) - Delay Angle of 3 Phase Half Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.

STEP 1: Convert Input(s) to Base Unit

Peak Phase Voltage: 222 Volt --> 222 Volt No Conversion Required
Delay Angle of 3 Phase Half Converter: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_{rms(3Φ-half)} = sqrt(3)*V_m(3Φ-half)*(sqrt((1/6)+((sqrt(3)*cos(2*α_d(3Φ-half)))/(8*pi)))) --> sqrt(3)*222*(sqrt((1/6)+((sqrt(3)*cos(2*1.3089969389955))/(8*pi))))

Evaluating ... ...

V_{rms(3Φ-half)} = 125.768572217959

STEP 3: Convert Result to Output's Unit

125.768572217959 Volt --> No Conversion Required

FINAL ANSWER

125.768572217959 ≈ 125.7686 Volt <-- RMS Output Voltage 3 Phase Half Converter

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Converters » Three Phase Half Wave Converters » RMS Output Voltage for Resistive Load

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Birsa Institute of Technology (BIT), Sindri

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< 5 Three Phase Half Wave Converters Calculators

RMS Output Voltage for Resistive Load

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))))

RMS Output Voltage for Continuous Load Current

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5

Average Output Voltage for Continuous Load Current

Go Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi)

Maximum Output Voltage for Continuous Load Current

Go Peak Input Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Phase Voltage)/(2*pi)

Normalized Average Output Voltage in Three-Phase Half-Wave Converters

Go Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter))

< 19 Power Converter Characteristics Calculators

RMS Harmonic Current for PWM Control

Go RMS nth Harmonic Current = ((sqrt(2)*Armature Current)/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Harmonic Order*Excitation Angle))-(cos(Harmonic Order*Symmetrical Angle)))

Average Output Voltage for PWM Control

Go Average Output Voltage of PWM Controlled Converter = (Peak Input Voltage of PWM Converter/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle)-cos(Symmetrical Angle)))

Fundamental Supply Current for PWM Control

Go Fundamental Supply Current = ((sqrt(2)*Armature Current)/pi)*sum(x,1,Number of Pulse in Half-cycle of PWM,(cos(Excitation Angle))-(cos(Symmetrical Angle)))

RMS Output Voltage for Three Phase Semi-Converter

Go RMS Output Voltage 3 Phase Semi Converter = sqrt(3)*Peak Input Voltage 3 Phase Semi Converter*((3/(4*pi))*(pi-Delay Angle of 3 Phase Semi Converter+((sin(2*Delay Angle of 3 Phase Semi Converter))/2))^0.5)

RMS Supply Current for PWM Control

Go Root Mean Square Current = Armature Current/sqrt(pi)*sqrt(sum(x,1,Number of Pulse in Half-cycle of PWM,(Symmetrical Angle-Excitation Angle)))

RMS Output Voltage for Resistive Load

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))))

RMS Output Voltage for Continuous Load Current

Go RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5

RMS Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go RMS Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/2)*((180-Delay Angle of Thyristor Converter)/180+(0.5/pi)*sin(2*Delay Angle of Thyristor Converter))^0.5

RMS Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

Go RMS Output Voltage Semi Converter = (Maximum Input Voltage Semi Converter/(2^0.5))*((180-Delay Angle Semi Converter)/180+(0.5/pi)*sin(2*Delay Angle Semi Converter))^0.5

Average Output Voltage for Continuous Load Current

Go Average Voltage 3 Phase Half Converter = (3*sqrt(3)*Peak Input Voltage 3 Phase Half Converter*(cos(Delay Angle of 3 Phase Half Converter)))/(2*pi)

RMS Output Voltage of Three-Phase Full Converter

Go RMS Output Voltage 3 Phase Full Converter = ((6)^0.5)*Peak Input Voltage 3 Phase Full Converter*((0.25+0.65*(cos(2*Delay Angle of 3 Phase Full Converter))/pi)^0.5)

Average Output Voltage of Single Phase Thyristor Converter with Resistive Load

Go Average Voltage Thyristor Converter = (Peak Input Voltage Thyristor Converter/(2*pi))*(1+cos(Delay Angle of Thyristor Converter))

Average Output Voltage for Three-Phase Converter

Go Average Voltage 3 Phase Full Converter = (2*Peak Phase Voltage Full Converter*cos(Delay Angle of 3 Phase Full Converter/2))/pi

DC Output Voltage of Second Converter

Go DC Output Voltage Second Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of Second Converter)))/pi

DC Output Voltage for First Converter

Go DC Output Voltage First Converter = (2*Peak Input Voltage Dual Converter*(cos(Delay Angle of First Converter)))/pi

Average DC Output Voltage of Single Phase Full Converter

Go Average Voltage Full Converter = (2*Maximum DC Output Voltage Full Converter*cos(Firing Angle Full Converter))/pi

Average Output Voltage of Single Phase Semi-Converter with Highly Inductive Load

Go Average Voltage Semi Converter = (Maximum Input Voltage Semi Converter/pi)*(1+cos(Delay Angle Semi Converter))

Average Load Current of Three Phase Semi-Current

Go Load Current 3 Phase Semi Converter = Average Voltage 3 Phase Semi Converter/Resistance 3 Phase Semi Converter

RMS Output Voltage of Single Phase Full Converter

Go RMS Output Voltage Full Converter = Maximum Input Voltage Full Converter/(sqrt(2))

RMS Output Voltage for Resistive Load Formula

What is meaning of root mean square?

The root mean square value of a quantity is the square root of the mean value of the squared values of the quantity taken over an interval. AC voltages are always given as RMS values because this allows a sensible comparison to be made with steady DC voltages.

What is the function of resistive load?

A load resistor is a component that has the sole function of increasing the load resistance of a circuit to a specific level. It is an output testing device that is used as an ideal output while designing or testing an electrical circuit.

How to Calculate RMS Output Voltage for Resistive Load?

RMS Output Voltage for Resistive Load calculator uses RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi)))) to calculate the RMS Output Voltage 3 Phase Half Converter, The RMS output voltage for resistive load formula is the root mean square value of the average output voltage of the converter. Here, one condition that is being considered is that the delay angle is greater than 30 degrees. RMS Output Voltage 3 Phase Half Converter is denoted by V_{rms(3Φ-half)} symbol.

How to calculate RMS Output Voltage for Resistive Load using this online calculator? To use this online calculator for RMS Output Voltage for Resistive Load, enter Peak Phase Voltage (V_m(3Φ-half)) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)) and hit the calculate button. Here is how the RMS Output Voltage for Resistive Load calculation can be explained with given input values -> 125.202 = sqrt(3)*222*(sqrt((1/6)+((sqrt(3)*cos(2*1.3089969389955))/(8*pi)))).

FAQ

What is RMS Output Voltage for Resistive Load?

The RMS output voltage for resistive load formula is the root mean square value of the average output voltage of the converter. Here, one condition that is being considered is that the delay angle is greater than 30 degrees and is represented as V_{rms(3Φ-half)} = sqrt(3)*V_m(3Φ-half)*(sqrt((1/6)+((sqrt(3)*cos(2*α_d(3Φ-half)))/(8*pi)))) or RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi)))). Peak phase voltage refers to the maximum instantaneous voltage of each phase of the AC supply & Delay Angle of 3 Phase Half Converter refers to the angle at which the thyristor is triggered to start conducting current in a 3 phase AC (alternating current) circuit.

How to calculate RMS Output Voltage for Resistive Load?

The RMS output voltage for resistive load formula is the root mean square value of the average output voltage of the converter. Here, one condition that is being considered is that the delay angle is greater than 30 degrees is calculated using RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Phase Voltage*(sqrt((1/6)+((sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi)))). To calculate RMS Output Voltage for Resistive Load, you need Peak Phase Voltage (V_m(3Φ-half)) & Delay Angle of 3 Phase Half Converter (α_d(3Φ-half)). With our tool, you need to enter the respective value for Peak Phase Voltage & Delay Angle of 3 Phase Half Converter 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 RMS Output Voltage 3 Phase Half Converter?

In this formula, RMS Output Voltage 3 Phase Half Converter uses Peak Phase Voltage & Delay Angle of 3 Phase Half Converter. We can use 2 other way(s) to calculate the same, which is/are as follows -

RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5
RMS Output Voltage 3 Phase Half Converter = sqrt(3)*Peak Input Voltage 3 Phase Half Converter*((1/6)+(sqrt(3)*cos(2*Delay Angle of 3 Phase Half Converter))/(8*pi))^0.5

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