Lecture 111 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.

Slides:



Advertisements
Similar presentations
Lecture 131 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
Advertisements

CHAPTER 5: TRANSFORMER AND MUTUAL INDUCTANCE
Lecture 11 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
Lecture 31 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
Lecture 21 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
Problem #2-8 A 480 – 120 V, 60 Hz transformer has its high voltage winding connected to a 460 V system, and its low voltage winding connected to a 24/32.8°Ω.
Lecture 121 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
ECE 201 Circuit Theory 11 Mutual Inductance in Terms of Self - Inductance L1L1 L2L2.
ECE 201 Circuit Theory 11 Energy Calculations for Mutually – Coupled Coils.
Lecture 61 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
ECE 201 Circuit Theory 11 The Concept of Mutual Inductance.
Mutual Inductance Consider two circuits “linked” by a magnetic field (magnetically-coupled coils). ECE 201 Circuit Theory I.
AHBMH DEE2113 : Chapter 5 - Transformer & Mutual Inductance 1 CHAPTER 5: TRANSFORMER AND MUTUAL INDUCTANCE Review of Magnetic Induction Mutual Inductance.
Magnetically Coupled Circuits
Lecture 51 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
Lecture 171 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001.
Transformers Test Friday 3/30/12. Electromagnetic Induction Induction is the process of producing (inducing) a voltage by passing a wire through a magnetic.
MAGNETICALLY COUPLED NETWORKS
Basic Electronics Ninth Edition Basic Electronics Ninth Edition ©2002 The McGraw-Hill Companies Grob Schultz.
Electronics Fundamentals 8 th edition Floyd/Buchla © 2010 Pearson Education, Upper Saddle River, NJ All Rights Reserved. chapter 14 electronics.
MAGNETICALLY COUPLED NETWORKS LEARNING GOALS Mutual Inductance Behavior of inductors sharing a common magnetic field Energy Analysis Used to establish.
Coupling Element and Coupled circuits Coupled inductor Ideal transformer Controlled sources.
1 ECE 3336 Introduction to Circuits & Electronics Set #16 Transformers Fall 2011, TUE&TH 4-5:30 pm Dr. Wanda Wosik.
1 Lecture #25 EGR 272 – Circuit Theory II Transformers: Our earlier study of mutual inductance introduced the idea that the magnetic field produced by.
Chapter 13 Magnetically Coupled Circuits
Magnetically Coupled Networks
CIRCUITS and SYSTEMS – part I
MAGNETICALLY COUPLED CIRCUIT
Magnetically Coupled Circuits Instructor: Chia-Ming Tsai Electronics Engineering National Chiao Tung University Hsinchu, Taiwan, R.O.C.
Fundamentals of Electric Circuits Chapter 13 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
10. Magnetically coupled networks
Alexander-Sadiku Fundamentals of Electric Circuits
BASIC ELECTRICAL TECHNOLOGY Chapter 6: Single Phase Transformer
Drill Exercise A linear transformer couples a load consisting of a 360 Ω resistor in series with a 0.25 H inductor to a sinusoidal voltage source, as shown.
See online explanation at AC Circuits.
LITAR ELEKTRIK II EET 102/4. SILIBUS LITAR ELEKTRIK II  Mutual Inductance  Two port Network Pengenalan Jelmaan Laplace Pengenalan Jelmaan Laplace Kaedah.
EE 1270 Introduction to Electric Circuits Suketu Naik 0 EE 1270: Introduction to Electric Circuits Lecture 16: Mutual Inductance Chapter 6 Inductance,
MAGNETICALLY COUPLED NETWORKS
Circuits II EE221 Unit 10 Instructor: Kevin D. Donohue Magnetically Coupled Circuits, Linear Transformers, Transformer Circuits.
Chapter 30 Lecture 31: Faraday’s Law and Induction: II HW 10 (problems): 29.15, 29.36, 29.48, 29.54, 30.14, 30.34, 30.42, Due Friday, Dec. 4.
1 ELECTRICAL TECHNOLOGY EET 103/4 Define and analyze the principle of transformer, its parameters and structure. Describe and analyze Ideal transformer,
1 ELECTRICAL TECHNOLOGY EET 103/4 Define and analyze the principle of transformer, its parameters and structure. Describe and analyze Ideal transformer,
1 、 grasp mutual inductance and the disappear method of mutual inductance 2 、 grasp the calculation of including mutual inductance 10 Circuit That Contain.
E E 2415 Lecture 12 Mutual Inductance and Ideal Transformers.
Chapter 13 Magnetically Coupled Circuits
Lecture 17: Mutual Inductance and Transformers Nilsson & Riedel 6.4, 6.5, 9.10, 9.11 ENG17 (Sec. 2): Circuits I Spring May 27, 2014.
Chapter 13 Ideal Transformers
Dr inż. Agnieszka Wardzińska Room: 105 Polanka cygnus.et.put.poznan.pl/~award Advisor hours: Monday: Wednesday:
1 ELECTRICAL TECHNOLOGY ERT 105/3 Define and analyze the principle of transformer, its parameters and structure. Describe and analyze Ideal transformer,
MAGNETICALLY COUPLED CIRCUIT
Chapter 13 Ideal Transformers
Chapter 10 Magnetically Coupled Circuits and Resonance
Applied Electricity and Magnetism
Ideal Transformers Chapter Objectives:
Circuits II EE221 Unit 10 Instructor: Kevin D. Donohue
Circuits II EE221 Unit 9 Instructor: Kevin D. Donohue
Circuits II EE221 Unit 9 Instructor: Kevin D. Donohue
ECE 1270: Introduction to Electric Circuits
MAGNETICALLY COUPLED CIRCUIT
electronics fundamentals
Energy Conversion and Transport George G. Karady & Keith Holbert
Engineering Circuit Analysis
Ch. 13 – Ideal Transformers
L = L1 + L2 + L3 + 2M12 – 2M23 –2M31 = x6 – 2x6 –2x4 Problem 13.2 Determine the inductance of the three series-connected inductors. Consider.
Mutual Inductance Consider two circuits “linked” by a magnetic field (magnetically-coupled coils). ECE 201 Circuit Theory I.
Lecture 10 - Transformers/Three-Phase Circuits
EET 323 – Electrical System Design Lecture 14: Transformers
L-11 ELECTROMAGNETISM ELE 1001: Basic Electrical Technology
Chapter 14.
MAGNETICALLY COUPLED CIRCUIT
Presentation transcript:

Lecture 111 EEE 302 Electrical Networks II Dr. Keith E. Holbert Summer 2001

Lecture 112 Magnetically Coupled Networks A new four-terminal element, the transformer, is introduced in this chapter A transformer is composed of two closely spaced inductors, that is, two or more magnetically coupled coils –primary side is connected to the source –secondary side is connected to the load

Lecture 113 Dot Convention dot convention: dots are placed beside each coil (inductor) so that if the currents are entering (or leaving) both dotted terminals, then the fluxes add right hand rule says that curling the fingers (of the right hand) around the coil in the direction of the current gives the direction of the magnetic flux based on the direction of the thumb We need dots on the schematic to know how the coils are physically oriented wrt one another

Lecture 114 Mutually Coupled Coils The following equations define the coupling between the two inductors assuming that each respective current enters the dot side which is also the positive voltage side where L 1 and L 2 are the self-inductances of the coils (inductors), and M is the mutual inductance between the two coils

Lecture 115 Mutually Coupled Coils i1(t)i1(t) + – v1(t)v1(t)L1L1 i2(t)i2(t) + – v2(t)v2(t)L2L2 M

Lecture 116 Class Example Extension Exercise E11.1

Lecture 117 Mutually Coupled Coils (AC) The frequency domain model of the coupled circuit is essentially identical to that of the time domain

Lecture 118 Class Examples Extension Exercise E11.2 Extension Exercise E11.3

Lecture 119 Source Input Impedance The source sees an input impedance, Z i, that is the sum of the primary impedance, and a reflected impedance, Z R, due to the secondary (load) side L1L1 L2L2 M ZLZL +–+– VSVS Z

Lecture 1110 Class Example Extension Exercise E11.4

Lecture 1111 Energy Analysis An energy analysis of the mutually coupled inductors provides an expression for the instantaneous stored energy The sign is positive (+) if currents are both entering (or leaving) the dots; sign is negative (-) if currents are otherwise

Lecture 1112 Quantifying the Coupling The mutual inductance, M, is in the range The coefficient of coupling (k) between two inductors is defined as –for k > 0.5, inductors are said to be tightly coupled –for k  0.5, coils are considered to be loosely coupled

Lecture 1113 Class Example Extension Exercise E11.5