Delta to Star Transformation Calculator

✖Delta Impedance 1 is defined as the first impedance connected in the delta connection.ⓘ Delta Impedance 1 [Z₁]			+10% -10%
✖Delta Impedance 3 is defined as the third impedance connected in the delta connection.ⓘ Delta Impedance 3 [Z₃]			+10% -10%
✖Delta Impedance 2 is defined as the second impedance connected in the delta connection.ⓘ Delta Impedance 2 [Z₂]			+10% -10%

✖Star Impedance A is defined as the impedance connected between the A node and the neutral node in the star connection.ⓘ Delta to Star Transformation [Z_A]

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Formula

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Delta to Star Transformation

Formula

`"Z"_{"A"} = ("Z"_{"1"}*"Z"_{"3"})/("Z"_{"1"}+"Z"_{"2"}+"Z"_{"3"})`

Example

`"10.51136Ω"=("37Ω"*"25Ω")/("37Ω"+"26Ω"+"25Ω")`

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Delta to Star Transformation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3)
Z_A = (Z₁*Z₃)/(Z₁+Z₂+Z₃)
This formula uses 4 Variables

Variables Used

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.
Delta Impedance 1 - (Measured in Ohm) - Delta Impedance 1 is defined as the first impedance connected in the delta connection.
Delta Impedance 3 - (Measured in Ohm) - Delta Impedance 3 is defined as the third impedance connected in the delta connection.
Delta Impedance 2 - (Measured in Ohm) - Delta Impedance 2 is defined as the second impedance connected in the delta connection.

STEP 1: Convert Input(s) to Base Unit

Delta Impedance 1: 37 Ohm --> 37 Ohm No Conversion Required
Delta Impedance 3: 25 Ohm --> 25 Ohm No Conversion Required
Delta Impedance 2: 26 Ohm --> 26 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_A = (Z₁*Z₃)/(Z₁+Z₂+Z₃) --> (37*25)/(37+26+25)

Evaluating ... ...

Z_A = 10.5113636363636

STEP 3: Convert Result to Output's Unit

10.5113636363636 Ohm --> No Conversion Required

FINAL ANSWER

10.5113636363636 ≈ 10.51136 Ohm <-- Star Impedance A

(Calculation completed in 00.004 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

Delta to Star Transformation Formula

Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3)
Z_A = (Z₁*Z₃)/(Z₁+Z₂+Z₃)

What is a Delta connection?

A delta connection is a connection used in a three-phase electrical system in which three elements in series form a triangle, the supply being input and output at the three junctions. In Delta (also denoted by Δ) system of interconnection, the starting ends of the three phases or coils are connected to the finishing ends of the coil. Or the starting end of the first coil is connected to the finishing end of the second coil and so on (for all three coils) and it looks like a closed mesh or circuit .

How to Calculate Delta to Star Transformation?

Delta to Star Transformation calculator uses Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3) to calculate the Star Impedance A, The Delta to Star Transformation formula is defined as the transformation of impedance connected in a delta connection to star connection. It is done when the sum of adjacent impedances in star connection are summed up with the product of two adjacent impedances divided by the remaining one impedance. Star Impedance A is denoted by Z_A symbol.

How to calculate Delta to Star Transformation using this online calculator? To use this online calculator for Delta to Star Transformation, enter Delta Impedance 1 (Z₁), Delta Impedance 3 (Z₃) & Delta Impedance 2 (Z₂) and hit the calculate button. Here is how the Delta to Star Transformation calculation can be explained with given input values -> 10.51136 = (37*25)/(37+26+25).

FAQ

What is Delta to Star Transformation?

The Delta to Star Transformation formula is defined as the transformation of impedance connected in a delta connection to star connection. It is done when the sum of adjacent impedances in star connection are summed up with the product of two adjacent impedances divided by the remaining one impedance and is represented as Z_A = (Z₁*Z₃)/(Z₁+Z₂+Z₃) or Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3). Delta Impedance 1 is defined as the first impedance connected in the delta connection, Delta Impedance 3 is defined as the third impedance connected in the delta connection & Delta Impedance 2 is defined as the second impedance connected in the delta connection.

How to calculate Delta to Star Transformation?

The Delta to Star Transformation formula is defined as the transformation of impedance connected in a delta connection to star connection. It is done when the sum of adjacent impedances in star connection are summed up with the product of two adjacent impedances divided by the remaining one impedance is calculated using Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3). To calculate Delta to Star Transformation, you need Delta Impedance 1 (Z₁), Delta Impedance 3 (Z₃) & Delta Impedance 2 (Z₂). With our tool, you need to enter the respective value for Delta Impedance 1, Delta Impedance 3 & Delta Impedance 2 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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