delta-wye conversions

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Delta-Wye Conversions What if resistors are neither in series nor in parallel?

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Delta-Wye Conversions. What if resistors are neither in series nor in parallel?. Delta-Wye. Many circuits can be simplified using three-terminal equivalent networks. These are of the type (Y) wye or tee (T) and the delta (  ) or pi (  ) networks. Y - Tee. Delta - Pi. - PowerPoint PPT Presentation

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Page 1: Delta-Wye Conversions

Delta-Wye Conversions

What if resistors are neither in series nor in parallel?

Page 2: Delta-Wye Conversions

Delta-Wye• Many circuits can be simplified using

three-terminal equivalent networks. • These are of the type (Y) wye or tee

(T) and the delta () or pi () networks.

Page 3: Delta-Wye Conversions

Y - Tee

Page 4: Delta-Wye Conversions

Delta - Pi

Page 5: Delta-Wye Conversions

Delta to Wye Conversion • Each resistor in the

Y-network is the product of the resistors in the two adjacent branches, divided by the sum of the three resistors.

Page 6: Delta-Wye Conversions

Wye to Delta Conversions• Each resistor in the

network is the sum of all possible products of Y resistors taken two at a time, divided by the opposite resistor.

Page 7: Delta-Wye Conversions

Delta-Wye Chart

Page 8: Delta-Wye Conversions

Balanced Networks• Y and networks are said to be

balanced when and when

• Under these conditions, conversion formulas become

RY R3 R 3RY

R1 R2 R3 RYRa Rb Rc R

Page 9: Delta-Wye Conversions

Transform the delta network to its equivalent wye network.

Examples

Page 10: Delta-Wye Conversions

Examples First, transform

your network into its opposite network.

Second, calculate the new values for your network.

Third, erase the old network.

Page 11: Delta-Wye Conversions

Examples

Page 12: Delta-Wye Conversions

Examples

Page 13: Delta-Wye Conversions

Examples