What is the formula for the phase current of a delta winding?

What is the formula for the phase current of a delta winding?

• A. I(phase)=Ii/√3
• B. I(phase)=Ii×√3
• C. I(phase)=√3×Ii
• D. I(phase)=Ii²/3

Answer: (A)

In a delta-connected winding, the relationship between the line current (the current flowing in the supply lines, denoted as Ii) and the phase current (the current flowing through each winding or phase, denoted as I(phase)) is based on how the currents distribute in a delta configuration. For a delta connection, the line current is equal to the square root of three times the phase current. This arises from the geometry of how the voltages and currents are distributed through the circuit, where each phase is connected to the line at 120-degree intervals. Thus, the phase current can be calculated by dividing the line current by the square root of three. Mathematically, this is expressed as: I(phase) = Ii / √3 This formula is fundamental in understanding the operation of three-phase systems, especially when considering load distribution and current calculations across different types of connections (delta and wye). The correct answer reflects this fundamental relationship in three-phase circuits.

In a delta-connected winding, the relationship between the line current (the current flowing in the supply lines, denoted as Ii) and the phase current (the current flowing through each winding or phase, denoted as I(phase)) is based on how the currents distribute in a delta configuration.

For a delta connection, the line current is equal to the square root of three times the phase current. This arises from the geometry of how the voltages and currents are distributed through the circuit, where each phase is connected to the line at 120-degree intervals. Thus, the phase current can be calculated by dividing the line current by the square root of three.

Mathematically, this is expressed as:

I(phase) = Ii / √3

This formula is fundamental in understanding the operation of three-phase systems, especially when considering load distribution and current calculations across different types of connections (delta and wye). The correct answer reflects this fundamental relationship in three-phase circuits.