Also known as T-  transformations. Objective of Lecture Describe the equations that relate the resistances in a Wye (Y) and Delta (  ) resistor network.

Slides:



Advertisements
Similar presentations
Chapter 4 Transformer Connections
Advertisements

Voltage and Current Division
2. RESISTIVE CIRCUITS CIRCUITS by Ulaby & Maharbiz Piezoresistive sensor All rights reserved. Do not reproduce or distribute. ©2013 Technology and Science.
Chapter 8 – Methods of Analysis Lecture 11 by Moeen Ghiyas 14/04/
Basic Electrical Engineering Lecture # 05 & 06 Course Instructor: Engr. Sana Ziafat.
Chapter 6 DC and AC Machines
ECE 2006 Lecture for Chapters 1 & 2 S.Norr. Fundamental Laws of Circuits Ohm’s Law: –The voltage across a resistor is directly proportional to the current.
ECE 201 Circuit Theory I1 Natural Response of an RC Circuit.
RECTIFIERS. INTRODUCTION  A rectifier is an electrical device that converts alternating current (AC), which periodically reverses direction, to direct.
ECE 201 Circuit Theory I1 Back to the Bridge Which resistors are in series? Which resistors are in parallel?
Source Transformation
Objective of Lecture Introduce the concept of duality. Chapter 8.10 in Fundamentals of Electric Circuits.
Objective of Lecture Describe what a single node, a distributed node, branch, and loop are. Chapter 2.3 Explain the differences between a series and parallel.
First Order Circuits. Objective of Lecture Explain the operation of a RC circuit in dc circuits As the capacitor releases energy when there is: a transition.
Unit 29 Three-Phase Transformers. Objectives: Discuss the construction of three-phase transformers. Discuss the formation of a three-phase transformer.
POLY PHASE A.C.CIRCUITS CHAPTER 7.
Chapter 20: Circuits Current and EMF Ohm’s Law and Resistance
Objective of Lecture Explain mathematically how resistors in series are combined and their equivalent resistance. Chapter 2.5 Explain mathematically how.
Thévenin’s and Norton’s Theorems
E E 1205 Circuit Analysis Lecture 2 - Circuit Elements and Essential Laws.
Lecture 6 Direct Current Circuits Chapter 18 Outline Energy Source in Circuits Resistor Combinations Kirchhoff’s Rules RC Circuits.
EE 1270 Introduction to Electric Circuits Suketu Naik 0 EE 1270: Introduction to Electric Circuits Lecture 4: Equivalent Networks Chapter 3 Simple Resistive.
Alternating Current Electricity NCEA A.S 3.6 Text Chapters
1.6 Real Single-Phase Transformer.
1 Chapter 3 Harmonic Modeling of Networks Contributors: T. Ortmyer, C. Hatziadoniu, and P. Ribeiro Organized by Task Force on Harmonics Modeling & Simulation.
AC Generators (Alternators)
BALANCED THREE-PHASE CIRCUITS
Chapter 6 DC Machines EET103/4.
Power System Fundamentals EE 317 Lecture 7 20 October 2010.
Fundamentals of Electric Circuits Chapter 12
IEEE PES General Meeting, Tampa FL June 24-28, Chapter 3 Harmonic Modeling of Networks Contributors: T. Ortmyer, C. Hatziadoniu, and P. Ribeiro.
Internal Resistance.
Methods of Analysis EE 2010: Fundamentals of Electric Circuits Mujahed AlDhaifallah.
Lecture-5. Md.Kausher ahmed Electrical department.
RESISTIVE CIRCUIT Topic 2.
FUNDAMENTALS OF ELECTRICAL ENGINEERING [ ENT 163 ]
Objective of Lecture State Thévenin’s and Norton Theorems. Chapter 4.5 and 4.6 Fundamentals of Electric Circuits Demonstrate how Thévenin’s and Norton.
Dan O. Popa, Intro to EE, Freshman Seminar, Spring 2015 EE 1105 : Introduction to EE Freshman Seminar Lecture 5: Thevenin Equivalent, Norton Equivalent,
Basic Electricity END Alternators. 2 WHAT DOES AN ALTERNATOR DO? -IT GENERATES ELECTRICAL CURRENT -IT CONVERTS ALTERNATING CURRENT TO DIRECT CURRENT -IT.
1 Chapter2 Basic Laws 2.0 Objectives For This Chapter 2.1 Introduction. 2.2 Nodes, Branches, and Loops. 2.3 Kirchhoff’s Laws. 2.4 Equivalent Subcircuits.
Chapter 2 Resistive Circuits 1. Overview of Chapter Series Resistors and Parallel Resistors 2.2Voltage Divider Circuit 2.3 Current Divider Circuit.
EKT101 Electric Circuit Theory
Fundamentals of Electric Circuits Chapter 2
Fundamentals of Electric Circuits Chapter 2
ECE 3301 General Electrical Engineering
Chapter 6: DC & AC Machine
CIRCUIT THEOREMS & conversions
Energy Conversion and Transport George G. Karady & Keith Holbert
PowerPoint Presentation for ER 2030
Chapter 30 Charging System Fundamentals
Lecture 2 - Circuit Elements and Essential Laws
Electric Circuits Fundamentals
12/6/2018.
12/6/2018.
Circuit Principles Kirchhoff’s Current Law (KCL)
Utilisation of Electrical Energy
Source Transformation
Back to the Bridge Which resistors are in series?
Lecture 2 - Circuit Elements and Essential Laws
Voltage and Current Division
Generator Equations Galore
Back to the Bridge Which resistors are in series?
Basic Laws of Electric Circuits Equivalent Resistance
Series and Parallel Circuits
BLM Circuit Theory Prof. Dr. Nizamettin AYDIN
Circuit Principles Kirchhoff’s Current Law (KCL)
Power Electronics Lecture -11 Single Phase Controlled Rectifier.
Example Example 1: An electric lamp is rated 110 W, 200 V. When the lamp is operated at its rated power and voltage, calculate a) the current flowing through.
Electric Circuits I (EELE 2310)
Presentation transcript:

Also known as T-  transformations

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

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

T and  Drawn as a 4 terminal arrangement of components.

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

To transform a Delta into a Wye To transform a Wye into a Delta

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

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.

Bridge Circuits Measurement of the voltage V CD is used in sensing and full- wave rectifier circuits. If R A = R B = R C = R D, V CD = 0V In sensing circuits, the resistance of one resistor (usually R D ) is proportional to some parameter – temperature, pressure, light, etc., then V CD becomes a function of that same parameter.

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

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

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

Bridge Circuits (con’t) Original circuit redrawn. V CD = V C – V D If R A = R B = R C = R and R D = R -  R VCVC VDVD +VT_+VT_

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.