FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

RMS Value of Output Voltage of Cyclo Converter Formula

GoFundamental Output Phase Voltage of Cyclo Converter Formula

Fx Copy

LaTeX Copy

Output Voltage of a cycloconverter is a variable-frequency, variable-amplitude waveform that is controlled by the firing angles of the thyristors in the converter circuit. Check FAQs

V out = \frac{V max}{\sqrt{2}} \cdot {(\frac{1}{π} \cdot (π - α + \frac{\sin (2 \cdot α)}{2}))}^{\frac{1}{2}}

V_out - Output Voltage?V_max - Maximum Output?α - Firing Angle?π - Archimedes' constant?

RMS Value of Output Voltage of Cyclo Converter Example

With values

With units

Only example

Here is how the RMS Value of Output Voltage of Cyclo Converter equation looks like with Values.

Here is how the RMS Value of Output Voltage of Cyclo Converter equation looks like with Units.

Here is how the RMS Value of Output Voltage of Cyclo Converter equation looks like.

2.8431 = \frac{4.08}{\sqrt{2}} \cdot {(\frac{1}{3.1416} \cdot (3.1416 - 30 + \frac{\sin (2 \cdot 30)}{2}))}^{\frac{1}{2}}

2.8431V = \frac{4.08V}{\sqrt{2}} \cdot {(\frac{1}{3.1416} \cdot (3.1416 - 30° + \frac{\sin (2 \cdot 30°)}{2}))}^{\frac{1}{2}}

2.8431 = \frac{4.08}{\sqrt{2}} \cdot {(\frac{1}{3.1416} \cdot (3.1416 - 30 + \frac{\sin (2 \cdot 30)}{2}))}^{\frac{1}{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Power Electronics » fx RMS Value of Output Voltage of Cyclo Converter

RMS Value of Output Voltage of Cyclo Converter Solution

Follow our step by step solution on how to calculate RMS Value of Output Voltage of Cyclo Converter?

FIRST Step Consider the formula

V out = \frac{V max}{\sqrt{2}} \cdot {(\frac{1}{π} \cdot (π - α + \frac{\sin (2 \cdot α)}{2}))}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

V out = \frac{4.08V}{\sqrt{2}} \cdot {(\frac{1}{π} \cdot (π - 30° + \frac{\sin (2 \cdot 30°)}{2}))}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

V out = \frac{4.08V}{\sqrt{2}} \cdot {(\frac{1}{3.1416} \cdot (3.1416 - 30° + \frac{\sin (2 \cdot 30°)}{2}))}^{\frac{1}{2}}

Next Step Convert Units

∴

V out = \frac{4.08V}{\sqrt{2}} \cdot {(\frac{1}{3.1416} \cdot (3.1416 - 0.5236rad + \frac{\sin (2 \cdot 0.5236rad)}{2}))}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

V out = \frac{4.08}{\sqrt{2}} \cdot {(\frac{1}{3.1416} \cdot (3.1416 - 0.5236 + \frac{\sin (2 \cdot 0.5236)}{2}))}^{\frac{1}{2}}

Next Step Evaluate

∴

V out = 2.84309781147146V

LAST Step Rounding Answer

∴

V out = 2.8431V

RMS Value of Output Voltage of Cyclo Converter Formula Elements

Variables

Constants

Functions

Output Voltage

Output Voltage of a cycloconverter is a variable-frequency, variable-amplitude waveform that is controlled by the firing angles of the thyristors in the converter circuit.

Symbol: V_out

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Output Voltage

Maximum Output

Maximum Output voltage of a cycloconverter is determined by the input voltage, the turns ratio of the transformer, and the control signal.

Symbol: V_max

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Maximum Output

Firing Angle

Firing Angle it is defined as angle measured from the instant that gives. maximum output voltage to the one at which it is actually triggered.

Symbol: α

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Firing Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(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.

Syntax: sqrt(Number)

Other Formulas to find Output Voltage

Go Fundamental Output Phase Voltage of Cyclo Converter

V out = V ph \cdot (\frac{t 1}{π}) \cdot \sin (\frac{π}{t 1})

Other formulas in Cyclo Converters category

Go Output Frequency in Cyclo Converter

f out = \frac{1}{4} \cdot f s

Go Instantaneous Phase Voltage of Cyclo Converter

V i = \sqrt{2} \cdot V ph \cdot \cos (ω \cdot t)

Go Maximum Output DC Voltage in Cyclo Converter

V max = V r \cdot V out

How to Evaluate RMS Value of Output Voltage of Cyclo Converter?

RMS Value of Output Voltage of Cyclo Converter evaluator uses Output Voltage = Maximum Output/sqrt(2)*(1/pi*(pi-Firing Angle+sin(2*Firing Angle)/2))^(1/2) to evaluate the Output Voltage, RMS Value of Output Voltage of Cyclo Converter is a measure of the average voltage over a period of time. It is calculated by taking the square root of the average of the squared values of the voltage waveform. The RMS value of the output voltage of a cycloconverter is important for determining the power that the cycloconverter can deliver to a load. The power is proportional to the square of the voltage, so the RMS value is a more accurate measure of the power than the peak voltage. The RMS value of the output voltage of a cycloconverter can be calculated by hand or by using a computer program. There are also several online calculators that can be used to calculate the RMS value of a waveform. Output Voltage is denoted by V_out symbol.

How to evaluate RMS Value of Output Voltage of Cyclo Converter using this online evaluator? To use this online evaluator for RMS Value of Output Voltage of Cyclo Converter, enter Maximum Output (V_max) & Firing Angle (α) and hit the calculate button.

FAQs on RMS Value of Output Voltage of Cyclo Converter

What is the formula to find RMS Value of Output Voltage of Cyclo Converter?

The formula of RMS Value of Output Voltage of Cyclo Converter is expressed as Output Voltage = Maximum Output/sqrt(2)*(1/pi*(pi-Firing Angle+sin(2*Firing Angle)/2))^(1/2). Here is an example- 2.843098 = 4.08/sqrt(2)*(1/pi*(pi-0.5235987755982+sin(2*0.5235987755982)/2))^(1/2).

How to calculate RMS Value of Output Voltage of Cyclo Converter?

With Maximum Output (V_max) & Firing Angle (α) we can find RMS Value of Output Voltage of Cyclo Converter using the formula - Output Voltage = Maximum Output/sqrt(2)*(1/pi*(pi-Firing Angle+sin(2*Firing Angle)/2))^(1/2). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

What are the other ways to Calculate Output Voltage?

Here are the different ways to Calculate Output Voltage-

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

Can the RMS Value of Output Voltage of Cyclo Converter be negative?

No, the RMS Value of Output Voltage of Cyclo Converter, measured in Electric Potential cannot be negative.

Which unit is used to measure RMS Value of Output Voltage of Cyclo Converter?

RMS Value of Output Voltage of Cyclo Converter is usually measured using the Volt[V] for Electric Potential. Millivolt[V], Microvolt[V], Nanovolt[V] are the few other units in which RMS Value of Output Voltage of Cyclo Converter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit