wye – delta transformations

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Also known as T-transformations

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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. - PowerPoint PPT Presentation

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  • Also known as T-P transformations

  • Objective of LectureDescribe 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 CircuitsDescribe a bridge circuit in terms of wye and delta subcircuits.

  • Wye and Delta Networks3 terminal arrangements commonly used in power systemsWye (Y)Delta (D)

  • T and PDrawn as a 4 terminal arrangement of components.

  • T and P2 of the terminals are connects at one node. The node is a distributed node in the case of the P network.

  • To transform a Delta into a WyeTo transform a Wye into a Delta

  • SimplificationIf R1 = R2 = R3 = R, then Ra = Rb =Rc = 3R If Ra = Rb = Rc = R, then R1 = R2 = R3 = R/3

  • UsesDistribution of 3 phase powerDistribution 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.

  • Bridge CircuitsMeasurement of the voltage VCD is used in sensing and full-wave rectifier circuits. If RA = RB = RC = RD, VCD = 0VIn 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.

  • Bridge Circuits (cont)Back-to-back Wye networks

  • Bridge Circuit (cont)Or two Delta networks where Rc1 = Rc2 = W.

  • Bridge Circuits (cont)Alternatively, the bridge circuit can be constructed from one Delta and one Wye network where Rc = W.

  • Bridge Circuits (cont)Original circuit redrawn.VCD = VC VDIf RA = RB = RC = R and RD = R - dRVC VD+

    VT

    _

  • SummaryThere 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.