7Delta–Wye Conversions: Circuit Analysis
7.1 Introduction
In this chapter, we will examine two kinds of circuit configurations, Delta and Wye (Y), and how to convert from one to the other.1
Converting a circuit between Delta and Y configurations and vice versa can make a circuit easier to understand and analyze.
7.2 Delta Circuit
Figures 7.1 and 7.2 show examples of Delta and Y circuit configurations.
Figure 7.1 Delta or triangle circuit.
7.3 Delta–Wye Conversion
Consider that we want to find the resistance between points A and B in the circuit shown in Figure 7.1 and that point C is not connected to anything.
If point C is not connected to anything, we can redraw the circuit into a friendlier version shown in Figure 7.3.
Thus, the resistance between A and B will be the resistance of R1 in parallel with the sum of R2 and R3, because these later resistors are in series.
Figure 7.2 Y or Wye circuit.
Figure 7.3 Delta circuit modified.
Mathematically speaking,
By applying the equations for the equivalent resistance of parallel resistors,
If we want to convert the original ...
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