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Instantaneous Circulating Current Formula

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Instantaneous Circulating Current Dual Converter refers to the undesired current flow between the rectifier and inverter when their output voltages are not perfectly matched. Check FAQs

i r(dual) = \frac{2 \cdot V in(dual) \cdot (\cos (ω (dual) \cdot t (dual)) - \cos (α 1(dual)))}{ω (dual) \cdot L r(dual)}

i_r(dual) - Instantaneous Circulating Current Dual Converter?V_in(dual) - Peak Input Voltage Dual Converter?ω_(dual) - Angular Frequency?t_(dual) - Time?α_1(dual) - Delay Angle of First Converter?L_r(dual) - Circulating Current Reactor?

Instantaneous Circulating Current Example

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Here is how the Instantaneous Circulating Current equation looks like with Values.

Here is how the Instantaneous Circulating Current equation looks like with Units.

Here is how the Instantaneous Circulating Current equation looks like.

-2.0683 = \frac{2 \cdot 125 \cdot (\cos (100 \cdot 30) - \cos (22))}{100 \cdot 2.3}

-2.0683A = \frac{2 \cdot 125V \cdot (\cos (100rad/s \cdot 30s) - \cos (22°))}{100rad/s \cdot 2.3H}

-2.0683 = \frac{2 \cdot 125 \cdot (\cos (100 \cdot 30) - \cos (22))}{100 \cdot 2.3}

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Instantaneous Circulating Current Solution

Follow our step by step solution on how to calculate Instantaneous Circulating Current?

FIRST Step Consider the formula

i r(dual) = \frac{2 \cdot V in(dual) \cdot (\cos (ω (dual) \cdot t (dual)) - \cos (α 1(dual)))}{ω (dual) \cdot L r(dual)}

Next Step Substitute values of Variables

∴

i r(dual) = \frac{2 \cdot 125V \cdot (\cos (100rad/s \cdot 30s) - \cos (22°))}{100rad/s \cdot 2.3H}

Next Step Convert Units

∴

i r(dual) = \frac{2 \cdot 125V \cdot (\cos (100rad/s \cdot 30s) - \cos (0.384rad))}{100rad/s \cdot 2.3H}

Next Step Prepare to Evaluate

∴

i r(dual) = \frac{2 \cdot 125 \cdot (\cos (100 \cdot 30) - \cos (0.384))}{100 \cdot 2.3}

Next Step Evaluate

∴

i r(dual) = -2.06833266788322A

LAST Step Rounding Answer

∴

i r(dual) = -2.0683A

Instantaneous Circulating Current Formula Elements

Variables

Functions

Instantaneous Circulating Current Dual Converter

Instantaneous Circulating Current Dual Converter refers to the undesired current flow between the rectifier and inverter when their output voltages are not perfectly matched.

Symbol: i_r(dual)

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Instantaneous Circulating Current Dual Converter

Peak Input Voltage Dual Converter

Peak Input Voltage Dual Converter is defined as the peak amplitude obtained by the voltage at the input terminal of a dual converter circuit.

Symbol: V_in(dual)

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Peak Input Voltage Dual Converter

Angular Frequency

Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit.

Symbol: ω_(dual)

Measurement: Angular FrequencyUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Time

Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments.

Symbol: t_(dual)

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time

Delay Angle of First Converter

Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.

Symbol: α_1(dual)

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Delay Angle of First Converter

Circulating Current Reactor

Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents.

Symbol: L_r(dual)

Measurement: InductanceUnit: H

Note: Value should be greater than 0.

Formulas to find Circulating Current Reactor

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Single Phase Dual Converters category

Go DC Output Voltage for First Converter

V out(first) = \frac{2 \cdot V in(dual) \cdot (\cos (α 1(dual)))}{π}

Go DC Output Voltage of Second Converter

V out(second) = \frac{2 \cdot V in(dual) \cdot (\cos (α 2(dual)))}{π}

Go Circulating Current across Reactor under Dual Converter

i c = (\frac{1}{ω (dual) \cdot L r(dual)}) \cdot \int (e R, x, (α 1(dual) + (\frac{π}{6})), (ω (dual) \cdot t (dual)))

How to Evaluate Instantaneous Circulating Current?

Instantaneous Circulating Current evaluator uses Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor) to evaluate the Instantaneous Circulating Current Dual Converter, The Instantaneous Circulating Current formula is the value of the circulating current of the dual converter at any instant. Instantaneous Circulating Current Dual Converter is denoted by i_r(dual) symbol.

How to evaluate Instantaneous Circulating Current using this online evaluator? To use this online evaluator for Instantaneous Circulating Current, enter Peak Input Voltage Dual Converter (V_in(dual)), Angular Frequency (ω_(dual)), Time (t_(dual)), Delay Angle of First Converter (α_1(dual)) & Circulating Current Reactor (L_r(dual)) and hit the calculate button.

FAQs on Instantaneous Circulating Current

What is the formula to find Instantaneous Circulating Current?

The formula of Instantaneous Circulating Current is expressed as Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor). Here is an example- -2.068333 = (2*125*(cos(100*30)-cos(0.38397243543868)))/(100*2.3).

How to calculate Instantaneous Circulating Current?

With Peak Input Voltage Dual Converter (V_in(dual)), Angular Frequency (ω_(dual)), Time (t_(dual)), Delay Angle of First Converter (α_1(dual)) & Circulating Current Reactor (L_r(dual)) we can find Instantaneous Circulating Current using the formula - Instantaneous Circulating Current Dual Converter = (2*Peak Input Voltage Dual Converter*(cos(Angular Frequency*Time)-cos(Delay Angle of First Converter)))/(Angular Frequency*Circulating Current Reactor). This formula also uses Cosine function(s).

Can the Instantaneous Circulating Current be negative?

Yes, the Instantaneous Circulating Current, measured in Electric Current can be negative.

Which unit is used to measure Instantaneous Circulating Current?

Instantaneous Circulating Current is usually measured using the Ampere[A] for Electric Current. Milliampere[A], Microampere[A], Centiampere[A] are the few other units in which Instantaneous Circulating Current can be measured.

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Instantaneous Circulating Current Formula

Instantaneous Circulating Current Example

Instantaneous Circulating Current Solution

Instantaneous Circulating Current Formula Elements

Other formulas in Single Phase Dual Converters category

How to Evaluate Instantaneous Circulating Current?

FAQs on Instantaneous Circulating Current

Variable Name