1 / 14

Wye – Delta Transformations

Wye – Delta Transformations. Also known as T- P transformations. Objective of Lecture. Describe the equations that relate the resistances in a Wye (Y) and Delta ( D ) resistor network. Wye networks are some times called T networks and Delta networks are occasionally called P networks.

emery-burt
Download Presentation

Wye – Delta Transformations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Wye – Delta Transformations Also known as T-P transformations

  2. Objective of Lecture • Describe the equations that relate the resistances in a Wye (Y) and Delta (D) resistor network. • Wye networks are some times called T networks and Delta networks are occasionally called P networks. • Chapter 2.7 Fundamentals of Electric Circuits • Describe a bridge circuit in terms of wye and delta subcircuits.

  3. Wye and Delta Networks • 3 terminal arrangements – commonly used in power systems Wye (Y) Delta (D)

  4. T and P • Drawn as a 4 terminal arrangement of components.

  5. T and P • 2 of the terminals are connects at one node. The node is a distributed node in the case of the P network.

  6. To transform a Delta into a Wye To transform a Wye into a Delta

  7. Simplification • If R1 = R2 = R3 = R, then Ra = Rb =Rc = 3R • If Ra = Rb = Rc = R’, then R1 = R2 = R3 = R’/3

  8. Uses • Distribution of 3 phase power • Distribution of power in stators and windings in motors/generators. • Wye windings provide better torque at low rpm and delta windings generates better torque at high rpm.

  9. Bridge Circuits • Measurement of the voltage VCD is used in sensing and full-wave rectifier circuits. • If RA = RB = RC = RD, VCD = 0V • In sensing circuits, the resistance of one resistor (usually RD) is proportional to some parameter – temperature, pressure, light, etc. , then VCD becomes a function of that same parameter.

  10. Bridge Circuits (con’t) • Back-to-back Wye networks

  11. Bridge Circuit (con’t) • Or two Delta networks where Rc1 = Rc2 = ∞W.

  12. Bridge Circuits (con’t) • Alternatively, the bridge circuit can be constructed from one Delta and one Wye network where Rc = ∞W.

  13. Bridge Circuits (con’t) • Original circuit redrawn. • VCD = VC – VD • If RA = RB = RC = R and RD = R - dR + VT _ VC VD

  14. Summary • There is a conversion between the resistances used in wye and delta resistor networks. • Bridge circuits can be considered to be a combination of wye-wye, delta-delta, or delta-wye circuits. • Voltage across a bridge can be related to the change in the resistance of one resistor if the resistance of the other three resistors is constant.

More Related