Circulating Current across Reactor under Dual Converter Calculator

✖Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit.ⓘ Angular Frequency [ω_(dual)]			+10% -10%
✖Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents.ⓘ Circulating Current Reactor [L_r(dual)]			+10% -10%
✖The Instantaneous Voltage across Reactor refers to the Voltage present across the Reactor's terminals at a specific moment in Time.ⓘ Instantaneous voltage Across Reactor [e_R]			+10% -10%
✖Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.ⓘ Delay Angle of First Converter [α_1(dual)]			+10% -10%
✖Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments.ⓘ Time [t_(dual)]			+10% -10%

✖The Circulating Current flows between the Rectifier and the Inverter through the DC link Reactor, Compensating for the Phase difference and Stabilizing the DC link Voltage.ⓘ Circulating Current across Reactor under Dual Converter [i_c]

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Formula

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Circulating Current across Reactor under Dual Converter

Formula

`"i"_{"c"} = (1/("ω"_{"(dual)"}*"L"_{"r(dual)"}))*int("e"_{"R"},x,("α"_{"1(dual)"}+(pi/6)),("ω"_{"(dual)"}*"t"_{"(dual)"}))`

Example

`"56.33078A"=(1/("100rad/s"*"2.3H"))*int("4.32V",x,("22°"+(pi/6)),("100rad/s"*"30s"))`

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Circulating Current across Reactor under Dual Converter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time))
i_c = (1/(ω_(dual)*L_r(dual)))*int(e_R,x,(α_1(dual)+(pi/6)),(ω_(dual)*t_(dual)))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Circulating Current - (Measured in Ampere) - The Circulating Current flows between the Rectifier and the Inverter through the DC link Reactor, Compensating for the Phase difference and Stabilizing the DC link Voltage.
Angular Frequency - (Measured in Radian per Second) - Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit.
Circulating Current Reactor - (Measured in Henry) - Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents.
Instantaneous voltage Across Reactor - (Measured in Volt) - The Instantaneous Voltage across Reactor refers to the Voltage present across the Reactor's terminals at a specific moment in Time.
Delay Angle of First Converter - (Measured in Radian) - Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter.
Time - (Measured in Second) - Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments.

STEP 1: Convert Input(s) to Base Unit

Angular Frequency: 100 Radian per Second --> 100 Radian per Second No Conversion Required
Circulating Current Reactor: 2.3 Henry --> 2.3 Henry No Conversion Required
Instantaneous voltage Across Reactor: 4.32 Volt --> 4.32 Volt No Conversion Required
Delay Angle of First Converter: 22 Degree --> 0.38397243543868 Radian (Check conversion here)
Time: 30 Second --> 30 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

i_c = (1/(ω_(dual)*L_r(dual)))*int(e_R,x,(α_1(dual)+(pi/6)),(ω_(dual)*t_(dual))) --> (1/(100*2.3))*int(4.32,x,(0.38397243543868+(pi/6)),(100*30))

Evaluating ... ...

i_c = 56.3307795320362

STEP 3: Convert Result to Output's Unit

56.3307795320362 Ampere --> No Conversion Required

FINAL ANSWER

56.3307795320362 ≈ 56.33078 Ampere <-- Circulating Current

(Calculation completed in 00.004 seconds)

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Home » Engineering » Electrical » Power Electronics » Converters » Single Phase Dual Converters » Circulating Current across Reactor under Dual Converter

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Created by Siddharth Raj

Heritage Institute of Technology ( HITK), Kolkata

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< 4 Single Phase Dual Converters Calculators

Instantaneous Circulating Current

Go 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)

Circulating Current across Reactor under Dual Converter

Go Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time))

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

Circulating Current across Reactor under Dual Converter Formula

How does Circulating Current Arises in Dual Converter?

The circulating current arises because of the difference in the firing angles (also known as phase shift) between the rectifier and the inverter. When the firing angle of the inverter is different from that of the rectifier, it causes a phase difference between the rectifier output voltage and the inverter output voltage. As a result, the DC link voltage fluctuates periodically.
The DC link reactor, being an inductive component, opposes changes in current. When the DC link voltage fluctuates, it induces a circulating current through the reactor to stabilize the voltage. This circulating current flows between the rectifier and the inverter through the DC link reactor, compensating for the phase difference and stabilizing the DC link voltage.

How to Calculate Circulating Current across Reactor under Dual Converter?

Circulating Current across Reactor under Dual Converter calculator uses Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time)) to calculate the Circulating Current, The Circulating Current across Reactor under Dual Converter refers to the current that flows through the reactor due to the phase difference between the firing angles of the rectifier and the inverter in the dual converter system. Circulating Current is denoted by i_c symbol.

How to calculate Circulating Current across Reactor under Dual Converter using this online calculator? To use this online calculator for Circulating Current across Reactor under Dual Converter, enter Angular Frequency (ω_(dual)), Circulating Current Reactor (L_r(dual)), Instantaneous voltage Across Reactor (e_R), Delay Angle of First Converter (α_1(dual)) & Time (t_(dual)) and hit the calculate button. Here is how the Circulating Current across Reactor under Dual Converter calculation can be explained with given input values -> 56.33078 = (1/(100*2.3))*int(4.32,x,(0.38397243543868+(pi/6)),(100*30)).

FAQ

What is Circulating Current across Reactor under Dual Converter?

The Circulating Current across Reactor under Dual Converter refers to the current that flows through the reactor due to the phase difference between the firing angles of the rectifier and the inverter in the dual converter system and is represented as i_c = (1/(ω_(dual)*L_r(dual)))*int(e_R,x,(α_1(dual)+(pi/6)),(ω_(dual)*t_(dual))) or Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time)). Angular Frequency refers to the angular displacement per unit of time in a dual converter circuit, Circulating Current Reactor is an inductive component that is deliberately introduced into the circuit to influence the behavior of circulating currents, The Instantaneous Voltage across Reactor refers to the Voltage present across the Reactor's terminals at a specific moment in Time, Delay angle of first converter here refers to the delay angle of thyristors of the first converter in the dual converter & Time provides a framework for understanding the sequence of events, durations, intervals, and the relationships between different moments.

How to calculate Circulating Current across Reactor under Dual Converter?

The Circulating Current across Reactor under Dual Converter refers to the current that flows through the reactor due to the phase difference between the firing angles of the rectifier and the inverter in the dual converter system is calculated using Circulating Current = (1/(Angular Frequency*Circulating Current Reactor))*int(Instantaneous voltage Across Reactor,x,(Delay Angle of First Converter+(pi/6)),(Angular Frequency*Time)). To calculate Circulating Current across Reactor under Dual Converter, you need Angular Frequency (ω_(dual)), Circulating Current Reactor (L_r(dual)), Instantaneous voltage Across Reactor (e_R), Delay Angle of First Converter (α_1(dual)) & Time (t_(dual)). With our tool, you need to enter the respective value for Angular Frequency, Circulating Current Reactor, Instantaneous voltage Across Reactor, Delay Angle of First Converter & Time 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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