Star to Delta Transformation Calculator

✖Star Impedance A is defined as the impedance connected between the A node and the neutral node in the star connection.ⓘ Star Impedance A [Z_A]			+10% -10%
✖Star Impedance B is defined as the impedance connected between the B node and the neutral node in the star connection.ⓘ Star Impedance B [Z_B]			+10% -10%
✖Star Impedance C is defined as the impedance connected between the C node and the neutral node in the star connection.ⓘ Star Impedance C [Z_C]			+10% -10%

✖Delta Impedance 1 is defined as the first impedance connected in the delta connection.ⓘ Star to Delta Transformation [Z₁]

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Formula

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Star to Delta Transformation

Formula

`"Z"_{"1"} = "Z"_{"A"}+"Z"_{"B"}+(("Z"_{"A"}*"Z"_{"B"})/"Z"_{"C"})`

Example

`"37.16667Ω"="10.5Ω"+"8Ω"+(("10.5Ω"*"8Ω")/"4.5Ω")`

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Star to Delta Transformation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C)
Z₁ = Z_A+Z_B+((Z_A*Z_B)/Z_C)
This formula uses 4 Variables

Variables Used

Delta Impedance 1 - (Measured in Ohm) - Delta Impedance 1 is defined as the first impedance connected in the delta connection.
Star Impedance A - (Measured in Ohm) - Star Impedance A is defined as the impedance connected between the A node and the neutral node in the star connection.
Star Impedance B - (Measured in Ohm) - Star Impedance B is defined as the impedance connected between the B node and the neutral node in the star connection.
Star Impedance C - (Measured in Ohm) - Star Impedance C is defined as the impedance connected between the C node and the neutral node in the star connection.

STEP 1: Convert Input(s) to Base Unit

Star Impedance A: 10.5 Ohm --> 10.5 Ohm No Conversion Required
Star Impedance B: 8 Ohm --> 8 Ohm No Conversion Required
Star Impedance C: 4.5 Ohm --> 4.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z₁ = Z_A+Z_B+((Z_A*Z_B)/Z_C) --> 10.5+8+((10.5*8)/4.5)

Evaluating ... ...

Z₁ = 37.1666666666667

STEP 3: Convert Result to Output's Unit

37.1666666666667 Ohm --> No Conversion Required

FINAL ANSWER

37.1666666666667 ≈ 37.16667 Ohm <-- Delta Impedance 1

(Calculation completed in 00.020 seconds)

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Created by Parminder Singh

Chandigarh University (CU), Punjab

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BMS College Of Engineering (BMSCE), Banglore

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< 17 DC Circuits Calculators

Delta to Star Transformation

Go Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3)

Star to Delta Transformation

Go Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C)

Voltage Division for Two Capacitors

Go Capacitor 1 Voltage = Source Voltage*((Circuit Capacitance 2)/(Circuit Capacitance 1+Circuit Capacitance 2))

Voltage Division in Two Inductors

Go Inductor 1 Voltage = Source Voltage*((Circuit Inductance 1)/(Circuit Inductance 1+Circuit Inductance 2))

Current Division in Two Inductors

Go Inductor 1 Current = Source Current*((Circuit Inductance 2)/(Circuit Inductance 1+Circuit Inductance 2))

Maximum Power Transfer

Go Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2

Voltage Divider for Two Resistors

Go Resistor 1 Voltage = Source Voltage*((Resistance 1)/(Resistance 1+Resistance 2))

Current Divider for Two Resistors

Go Resistor 1 Current = Source Current*((Resistance 2)/(Resistance 1+Resistance 2))

Current Division in Two Capacitors

Go Capacitor 1 Current = Source Current*((Circuit Capacitance 1)/(Circuit Capacitance 2))

Conductance given Resistivity

Go Conductance = Area of Conductor/(Length of Conductor*Resistivity)

Conductance given Current

Go Conductance = Current/Voltage

Resistance in DC Circuit

Go Resistance = Voltage/Current

Current in DC Circuits

Go Current = Voltage/Resistance

Voltage in DC Circuit

Go Voltage = Current*Resistance

Power in DC Circuit

Go Power = Voltage*Current

Energy in DC Circuit

Go Energy = Power*Time

Conductance in DC Circuit

Go Conductance = 1/Resistance

Star to Delta Transformation Formula

Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C)
Z₁ = Z_A+Z_B+((Z_A*Z_B)/Z_C)

What is a Star connection?

Star Connection (Y) System is also known as Three Phase Four Wire System (3-Phase 4 Wire) and it is the most preferred system for AC power distribution while for transmission.
In Star (also denoted by Y) system of interconnection, the starting ends or finishing ends (similar ends) of three coils are connected together to form the neutral point. Star Connection is obtained by connecting together similar ends of the three coils, either “Starting” or “Finishing”. The other ends are joined to the line wires. The common point is called the neutral or Star Point, which is represented by N.

How to Calculate Star to Delta Transformation?

Star to Delta Transformation calculator uses Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C) to calculate the Delta Impedance 1, The Star to Delta Transformation formula is defined as the transformation of impedance connected in a star connection to delta connection. It is done when the product of adjacent impedances in delta connection are divided by the sum of all the impedances in delta connection. Delta Impedance 1 is denoted by Z₁ symbol.

How to calculate Star to Delta Transformation using this online calculator? To use this online calculator for Star to Delta Transformation, enter Star Impedance A (Z_A), Star Impedance B (Z_B) & Star Impedance C (Z_C) and hit the calculate button. Here is how the Star to Delta Transformation calculation can be explained with given input values -> 37.16667 = 10.5+8+((10.5*8)/4.5).

FAQ

What is Star to Delta Transformation?

The Star to Delta Transformation formula is defined as the transformation of impedance connected in a star connection to delta connection. It is done when the product of adjacent impedances in delta connection are divided by the sum of all the impedances in delta connection and is represented as Z₁ = Z_A+Z_B+((Z_A*Z_B)/Z_C) or Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C). Star Impedance A is defined as the impedance connected between the A node and the neutral node in the star connection, Star Impedance B is defined as the impedance connected between the B node and the neutral node in the star connection & Star Impedance C is defined as the impedance connected between the C node and the neutral node in the star connection.

How to calculate Star to Delta Transformation?

The Star to Delta Transformation formula is defined as the transformation of impedance connected in a star connection to delta connection. It is done when the product of adjacent impedances in delta connection are divided by the sum of all the impedances in delta connection is calculated using Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C). To calculate Star to Delta Transformation, you need Star Impedance A (Z_A), Star Impedance B (Z_B) & Star Impedance C (Z_C). With our tool, you need to enter the respective value for Star Impedance A, Star Impedance B & Star Impedance C 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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