Instantaneous Phase Voltage of Cyclo Converter Calculator

✖Phase Voltage of a cycloconverter is the voltage between any two of the three output terminals of a three-phase cycloconverter.ⓘ Phase Voltage [V_ph]			+10% -10%
✖Angular Frequency of a cycloconverter is determined by the firing angles of the thyristors.ⓘ Angular Frequency [ω]			+10% -10%
✖Time period is the time it takes for one complete cycle of the output voltage waveform.ⓘ Time period [t]			+10% -10%

✖Instantaneous Voltage of a cycloconverter is the voltage that is generated at a particular instant in time. It is determined by the switching pattern of the converters.ⓘ Instantaneous Phase Voltage of Cyclo Converter [V_i]

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Formula

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Instantaneous Phase Voltage of Cyclo Converter

Formula

`"V"_{"i"} = sqrt(2)*"V"_{"ph"}*cos("ω"*"t")`

Example

`"6.943482V"=sqrt(2)*"5.65V"*cos("133.1rad/s"*"5s")`

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Instantaneous Phase Voltage of Cyclo Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Instantaneous Voltage = sqrt(2)*Phase Voltage*cos(Angular Frequency*Time period)
V_i = sqrt(2)*V_ph*cos(ω*t)
This formula uses 2 Functions, 4 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)
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

Instantaneous Voltage - (Measured in Volt) - Instantaneous Voltage of a cycloconverter is the voltage that is generated at a particular instant in time. It is determined by the switching pattern of the converters.
Phase Voltage - (Measured in Volt) - Phase Voltage of a cycloconverter is the voltage between any two of the three output terminals of a three-phase cycloconverter.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency of a cycloconverter is determined by the firing angles of the thyristors.
Time period - (Measured in Second) - Time period is the time it takes for one complete cycle of the output voltage waveform.

STEP 1: Convert Input(s) to Base Unit

Phase Voltage: 5.65 Volt --> 5.65 Volt No Conversion Required
Angular Frequency: 133.1 Radian per Second --> 133.1 Radian per Second No Conversion Required
Time period: 5 Second --> 5 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_i = sqrt(2)*V_ph*cos(ω*t) --> sqrt(2)*5.65*cos(133.1*5)

Evaluating ... ...

V_i = 6.94348162810538

STEP 3: Convert Result to Output's Unit

6.94348162810538 Volt --> No Conversion Required

FINAL ANSWER

6.94348162810538 ≈ 6.943482 Volt <-- Instantaneous Voltage

(Calculation completed in 00.004 seconds)

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RMS Value of Output Voltage of Cyclo Converter

Go Output Voltage = Maximum Output/sqrt(2)*(1/pi*(pi-Firing Angle+sin(2*Firing Angle)/2))^(1/2)

Fundamental Output Phase Voltage of Cyclo Converter

Go Output Voltage = Phase Voltage*(Pulse Width/pi)*sin(pi/Pulse Width)

Instantaneous Phase Voltage of Cyclo Converter

Go Instantaneous Voltage = sqrt(2)*Phase Voltage*cos(Angular Frequency*Time period)

Maximum Output DC Voltage in Cyclo Converter

Go Maximum Output = Voltage Reduction Factor*Output Voltage

Output Frequency in Cyclo Converter

Go Output Frequency = 1/4*Supply Frequency

Instantaneous Phase Voltage of Cyclo Converter Formula

Instantaneous Voltage = sqrt(2)*Phase Voltage*cos(Angular Frequency*Time period)
V_i = sqrt(2)*V_ph*cos(ω*t)

What Instantaneous Phase Voltage of Cyclo Converter ?

The instantaneous phase voltage of a cycloconverter depends on the specific type of cycloconverter, the input voltage waveform, and the firing angle. A cycloconverter is a power electronics device that converts AC power at one frequency to AC power at another frequency. The output voltage of a cycloconverter is typically a series of controlled pulses.

How to Calculate Instantaneous Phase Voltage of Cyclo Converter?

Instantaneous Phase Voltage of Cyclo Converter calculator uses Instantaneous Voltage = sqrt(2)*Phase Voltage*cos(Angular Frequency*Time period) to calculate the Instantaneous Voltage, Instantaneous Phase Voltage of Cyclo Converter is the voltage between any two of the three output terminals of a three-phase cycloconverter at a specific point in time. It is important to note that the instantaneous phase voltage is constantly changing with time. This is because the output voltage of a cycloconverter is controlled by the firing angles of the thyristors, and the firing angles of the thyristors constantly change with time. The instantaneous phase voltage is a complex waveform that contains both fundamental and harmonic components. The fundamental component is the part of the waveform that has the same frequency as the input voltage. The harmonic components are the part of the waveform that have frequencies that are multiples of the input frequency. Instantaneous Voltage is denoted by V_i symbol.

How to calculate Instantaneous Phase Voltage of Cyclo Converter using this online calculator? To use this online calculator for Instantaneous Phase Voltage of Cyclo Converter, enter Phase Voltage (V_ph), Angular Frequency (ω) & Time period (t) and hit the calculate button. Here is how the Instantaneous Phase Voltage of Cyclo Converter calculation can be explained with given input values -> 6.943482 = sqrt(2)*5.65*cos(133.1*5).

FAQ

What is Instantaneous Phase Voltage of Cyclo Converter?

Instantaneous Phase Voltage of Cyclo Converter is the voltage between any two of the three output terminals of a three-phase cycloconverter at a specific point in time. It is important to note that the instantaneous phase voltage is constantly changing with time. This is because the output voltage of a cycloconverter is controlled by the firing angles of the thyristors, and the firing angles of the thyristors constantly change with time. The instantaneous phase voltage is a complex waveform that contains both fundamental and harmonic components. The fundamental component is the part of the waveform that has the same frequency as the input voltage. The harmonic components are the part of the waveform that have frequencies that are multiples of the input frequency and is represented as V_i = sqrt(2)*V_ph*cos(ω*t) or Instantaneous Voltage = sqrt(2)*Phase Voltage*cos(Angular Frequency*Time period). Phase Voltage of a cycloconverter is the voltage between any two of the three output terminals of a three-phase cycloconverter, Angular Frequency of a cycloconverter is determined by the firing angles of the thyristors & Time period is the time it takes for one complete cycle of the output voltage waveform.

How to calculate Instantaneous Phase Voltage of Cyclo Converter?

Instantaneous Phase Voltage of Cyclo Converter is the voltage between any two of the three output terminals of a three-phase cycloconverter at a specific point in time. It is important to note that the instantaneous phase voltage is constantly changing with time. This is because the output voltage of a cycloconverter is controlled by the firing angles of the thyristors, and the firing angles of the thyristors constantly change with time. The instantaneous phase voltage is a complex waveform that contains both fundamental and harmonic components. The fundamental component is the part of the waveform that has the same frequency as the input voltage. The harmonic components are the part of the waveform that have frequencies that are multiples of the input frequency is calculated using Instantaneous Voltage = sqrt(2)*Phase Voltage*cos(Angular Frequency*Time period). To calculate Instantaneous Phase Voltage of Cyclo Converter, you need Phase Voltage (V_ph), Angular Frequency (ω) & Time period (t). With our tool, you need to enter the respective value for Phase Voltage, Angular Frequency & Time period 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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