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

STEP 0: Pre-Calculation Summary
Formula Used
Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter))
Vn(3Φ-half) = (cos(αd(3Φ-half)))
This formula uses 1 Functions, 2 Variables
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)
Variables Used
Normalized Output Voltage 3 Phase Half Converter - (Measured in Volt) - Normalized Output Voltage 3 Phase Half Converter is found be normalizing the average output voltage with maximum voltage in a half converter based circuit.
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
Delay Angle of 3 Phase Half Converter: 75 Degree --> 1.3089969389955 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vn(3Φ-half) = (cos(αd(3Φ-half))) --> (cos(1.3089969389955))
Evaluating ... ...
Vn(3Φ-half) = 0.258819045102759
STEP 3: Convert Result to Output's Unit
0.258819045102759 Volt --> No Conversion Required
FINAL ANSWER
0.258819045102759 0.258819 Volt <-- Normalized Output Voltage 3 Phase Half Converter
(Calculation completed in 00.004 seconds)

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Three Phase Half Wave Converters Calculators

RMS Output Voltage for Continuous Load Current
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter))

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

​LaTeX ​Go
Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter))
Vn(3Φ-half) = (cos(αd(3Φ-half)))

What is normalization of voltage?

Normalized quantities are always the ratio of one quantity to other quantity. In the above formula, normalizing the average output voltage with respect to maximum load means finding the ratio of average output voltage to maximum voltage, i.e., Vdc/Vdm.

How to Calculate Normalized Average Output Voltage in Three-Phase Half-Wave Converters?

Normalized Average Output Voltage in Three-Phase Half-Wave Converters calculator uses Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter)) to calculate the Normalized Output Voltage 3 Phase Half Converter, The Normalized average output voltage in three-phase half-wave converters formula is found by normalizing the average output voltage to maximum voltage. Normalized Output Voltage 3 Phase Half Converter is denoted by Vn(3Φ-half) symbol.

How to calculate Normalized Average Output Voltage in Three-Phase Half-Wave Converters using this online calculator? To use this online calculator for Normalized Average Output Voltage in Three-Phase Half-Wave Converters, enter Delay Angle of 3 Phase Half Converter d(3Φ-half)) and hit the calculate button. Here is how the Normalized Average Output Voltage in Three-Phase Half-Wave Converters calculation can be explained with given input values -> 0.258819 = (cos(1.3089969389955)).

FAQ

What is Normalized Average Output Voltage in Three-Phase Half-Wave Converters?
The Normalized average output voltage in three-phase half-wave converters formula is found by normalizing the average output voltage to maximum voltage and is represented as Vn(3Φ-half) = (cos(αd(3Φ-half))) or Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter)). 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 Normalized Average Output Voltage in Three-Phase Half-Wave Converters?
The Normalized average output voltage in three-phase half-wave converters formula is found by normalizing the average output voltage to maximum voltage is calculated using Normalized Output Voltage 3 Phase Half Converter = (cos(Delay Angle of 3 Phase Half Converter)). To calculate Normalized Average Output Voltage in Three-Phase Half-Wave Converters, you need Delay Angle of 3 Phase Half Converter d(3Φ-half)). With our tool, you need to enter the respective value for 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.
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