LECTURE 27 Basic Magnetic's Issues in Transformers A. Overview B
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Mutual Inductance and Transformer Theory Questions: 1 Through 15 Lab Exercise: Transformer Voltage/Current Ratios (Question 61)
ELTR 115 (AC 2), section 1 Recommended schedule Day 1 Topics: Mutual inductance and transformer theory Questions: 1 through 15 Lab Exercise: Transformer voltage/current ratios (question 61) Day 2 Topics: Transformer step ratio Questions: 16 through 30 Lab Exercise: Auto-transformers (question 62) Day 3 Topics: Maximum power transfer theorem and impedance matching with transformers Questions: 31 through 45 Lab Exercise: Auto-transformers (question 63) Day 4 Topics: Transformer applications, power ratings, and core effects Questions: 46 through 60 Lab Exercise: Differential voltage measurement using the oscilloscope (question 64) Day 5 Exam 1: includes Transformer voltage ratio performance assessment Lab Exercise: work on project Project: Initial project design checked by instructor and components selected (sensitive audio detector circuit recommended) Practice and challenge problems Questions: 66 through the end of the worksheet Impending deadlines Project due at end of ELTR115, Section 3 Question 65: Sample project grading criteria 1 ELTR 115 (AC 2), section 1 Project ideas AC power supply: (Strongly Recommended!) This is basically one-half of an AC/DC power supply circuit, consisting of a line power plug, on/off switch, fuse, indicator lamp, and a step-down transformer. The reason this project idea is strongly recommended is that it may serve as the basis for the recommended power supply project in the next course (ELTR120 – Semiconductors 1). If you build the AC section now, you will not have to re-build an enclosure or any of the line-power circuitry later! Note that the first lab (step-down transformer circuit) may serve as a prototype for this project with just a few additional components. -
Power Management Consortium (PMC) Nuggets
CPES ANNUAL REPORT 2020 103 Power Management Consortium (PMC) Nuggets 104 Low Loss Integrated Inductor and Transformer Structure and Application 114 Design Optimization of an Unregulated LLC Converter with Integrated in Regulated LLC Converter for 48 V Bus Converter Magnetics for a Two-Stage, 48 V VRM 105 Magnetic Integration of Matrix Transformer with a Highly Controllable 115 Wide-Voltage Range, High-Efficiency Sigma Converter 48 V VRM with Leakage Inductance Integrated Magnetics 106 Control Technique for CRM-Based, High-Frequency, 116 Modeling and Control for a 48 V/1 V Sigma Converter for Very Fast Soft-Switching Three-Phase Inverter Under Grid Fault Condition Transient Response 107 Critical Conduction Mode-Based, High-Frequency, Single-Phase 117 A Two-Stage Rail Grade DC-DC Converter Based on a GaN Device Transformerless PV Inverter 118 Design-Oriented Equivalent Circuit Model for Resonant Converters 108 Transmitter Coil Design for Free-Positioning Omnidirectional Wireless 119 Critical-Conduction-Mode-Based Soft-Switching Modulation for Three- Power Transfer System Phase PV Inverters with Reactive Power Transfer Capability 109 Shielding Study of a 6.78 MHz Omnidirectional Wireless Power Transfer 120 Improved Three-Phase Critical-Mode-Based Soft-Switching Modulation System Technique with Low Leakage Current for PV Inverter Application 110 The LCCL-LC Resonant Converter and Its Soft Switching Realization for 121 Balance Technique for CM Noise Reduction in Critical-Mode-Based Three- Omnidirectional Wireless Power Transfer Systems Phase -
Fall 2011 Meeting Minutes Boston MA November 3,2011
IEEE/PES Transformers Committee Fall 2011 Meeting Minutes Boston MA November 3,2011 Unapproved IEEE/PES Transformers Committee Meeting Fall 2011 Boston MA Committee Members and Guests Registered for the Spring 2011 Meeting Albers, Timothy: II Bertolini, Edward: AP - LM Campbell, James: II Allaway, Dave: II Berube, Jean-Noel: II Carlos, Arnaldo: AP Allaway, Marcene: SP Betancourt, Enrique: CM Caronia, Paul: II Allen, Jerry: AP Bhatia, Paramjit: II Caskey, John: AP Allen, Abbey: II Binder, Wallace: CM Caskey, Melissa: G Alton, Henry: II Bishop Jr, Wayne: II Castellanos, Juan: CM Amos, Richard: CM Bishop, Cherie: SP Castillo, Alonso: II Amos, Norann: SP Blackburn, Gene: CM Castillo, Karla: SP Anderson, Gregory: CM Blackburn, Martha: SP Chadderdon, Philip: II Anderson, Jeffrey: II Blackmon, Jr., James: AP Cheim, Luiz: AP Angell, Don: AP Blackmon, Donna: SP Cherry, Donald: CM Ansari, Tauhid: AP Blaydon, Daniel: CM Chiodo, Vincent: II Anthony, Stephen: II Boettger, William: CM Chisholm, Paul: AP Antosz, Stephen: CM Boettger, Pat: SP Chiu, Bill: CM Armstrong, James: AP Bolliger, Alain: AP Lu, Minnie: SP Arpino, Carlo: CM Bolliger, Dominique: SP Chmiel, Frank: AP Arpino, Tina: SP Boman, Paul: CM Choinski, Scott: AP Asano, Roberto: AP Borowitz, James: II Bartholomew, Kathy: SP Atef, Kahveh: II Botti, Michael: II Christodoulou, Larry: II Averitt, Ralph: II Botti, Nicole: SP Chrobak, John: II Ayers, Donald: CM Bozich, Bradford: II Chu, Donald: CM Bae, Yongbae: II Bradford, Ira: II Claiborne, C. Clair: CM Ballard, Jay: AP Brady, Ryan: II Cocchiarale, -
Application Note AN-1024 Flyback Transformer Design for The
Application Note AN-1024 Flyback Transformer Design for the IRIS40xx Series Table of Contents Page 1. Introduction to Flyback Transformer Design ...............................................1 2. Power Supply Design Criteria Required .......................................................2 3. Transformer Design Process.........................................................................2 4) Transformer Construction .............................................................................9 4.1) Transformer Materials..................................................................................10 4.2) Winding Styles.............................................................................................12 4.3) Winding Order..............................................................................................12 4.4) Multiple Outputs...........................................................................................12 4.5) Leakage Inductance ....................................................................................13 5) Transformer Core Types ..............................................................................14 6) Wire Table .....................................................................................................16 7) References ....................................................................................................17 8) Transformer Component Sources...............................................................17 One of the most important factors in the design of -
University Physics 227N/232N Ch 27
Vector pointing OUT of page University Physics 227N/232N Ch 27: Inductors, towards Ch 28: AC Circuits Quiz and Homework This Week Dr. Todd Satogata (ODU/Jefferson Lab) [email protected] http://www.toddsatogata.net/2014-ODU Monday, March 31 2014 Happy Birthday to Jack Antonoff, Kate Micucci, Ewan McGregor, Christopher Walken, Carlo Rubbia (1984 Nobel), and Al Gore (2007 Nobel) (and Sin-Itiro Tomonaga and Rene Descartes and Johann Sebastian Bach too!) Prof. Satogata / Spring 2014 ODU University Physics 227N/232N 1 Testing for Rest of Semester § Past Exams § Full solutions promptly posted for review (done) § Quizzes § Similar to (but not exactly the same as) homework § Full solutions promptly posted for review § Future Exams (including comprehensive final) § I’ll provide copy of cheat sheet(s) at least one week in advance § Still no computer/cell phone/interwebz/Chegg/call-a-friend § Will only be homework/quiz/exam problems you have seen! • So no separate practice exam (you’ll have seen them all anyway) § Extra incentive to do/review/work through/understand homework § Reduces (some) of the panic of the (omg) comprehensive exam • But still tests your comprehensive knowledge of what we’ve done Prof. Satogata / Spring 2014 ODU University Physics 227N/232N 2 Review: Magnetism § Magnetism exerts a force on moving electric charges F~ = q~v B~ magnitude F = qvB sin ✓ § Direction follows⇥ right hand rule, perpendicular to both ~v and B~ § Be careful about the sign of the charge q § Magnetic fields also originate from moving electric charges § Electric currents create magnetic fields! § There are no individual magnetic “charges” § Magnetic field lines are always closed loops § Biot-Savart law: how a current creates a magnetic field: µ0 IdL~ rˆ 7 dB~ = ⇥ µ0 4⇡ 10− T m/A 4⇡ r2 ⌘ ⇥ − § Magnetic field field from an infinitely long line of current I § Field lines are right-hand circles around the line of current § Each field line has a constant magnetic field of µ I B = 0 2⇡r Prof. -
Tesla's Coil. a Toy Or Useful Thing in the Life of Radio Engineering?
УДК 537 Ільчук Д.Р. Tesla's coil. A toy or useful thing in the life of radio engineering? Вінницький національний технічний університет Аннотація. У цій статті, подан опис такого приладу як Котушка Тесли. Наведені її характеристики, принцип роботи, історія створення та значення в сучасному житті. Також описані процеси створення власноруч та розсуди про практичність даного виробу у реальному житті. Ключові слова: Котушка індуктивності, висока напруга, Нікола Тесла, радіотехніка, електрична дуга. Abstract. This article contains a description of the device as a Tesla coil. These characteristics of the principle of history and value creation in modern life. Also describes the process of creating his own judge and practicality of this product in real life. Keywords: Inductor, high voltage, Nikola Tesla, radio, electric arc. I.Introduction Perhaps in the life of every student comes a time when it begins to be interested in their field. In some it comes in the first year, someone on last. At the beginning of the 3rd year I finally decided to solder something with their hands. The choice immediately fell on Tesla coil. But is this thing so important, whether it is only a toy, which is impossible to do anything useful? Let us know about it. II. Summary The Tesla coil is an electrical resonant transformer circuit designed by inventor Nikola Tesla around 1891 as a power supply for his "System of Electric Lighting".It is used to produce high-voltage, low-current, high frequency alternating-current electricity. Tesla experimented with a number of different configurations consisting of two, or sometimes three, coupled resonant electric circuits. -
THE ULTIMATE Tesla Coil Design and CONSTRUCTION GUIDE the ULTIMATE Tesla Coil Design and CONSTRUCTION GUIDE
THE ULTIMATE Tesla Coil Design AND CONSTRUCTION GUIDE THE ULTIMATE Tesla Coil Design AND CONSTRUCTION GUIDE Mitch Tilbury New York Chicago San Francisco Lisbon London Madrid Mexico City Milan New Delhi San Juan Seoul Singapore Sydney Toronto Copyright © 2008 by The McGraw-Hill Companies, Inc. All rights reserved. Manufactured in the United States of America. Except as permitted under the United States Copyright Act of 1976, no part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher. 0-07-159589-9 The material in this eBook also appears in the print version of this title: 0-07-149737-4. All trademarks are trademarks of their respective owners. Rather than put a trademark symbol after every occurrence of a trademarked name, we use names in an editorial fashion only, and to the benefit of the trademark owner, with no intention of infringement of the trademark. Where such designations appear in this book, they have been printed with initial caps. McGraw-Hill eBooks are available at special quantity discounts to use as premiums and sales promotions, or for use in corporate training programs. For more information, please contact George Hoare, Special Sales, at [email protected] or (212) 904-4069. TERMS OF USE This is a copyrighted work and The McGraw-Hill Companies, Inc. (“McGraw-Hill”) and its licensors reserve all rights in and to the work. Use of this work is subject to these terms. Except as permitted under the Copyright Act of 1976 and the right to store and retrieve one copy of the work, you may not decompile, disassemble, reverse engineer, reproduce, modify, create derivative works based upon, transmit, distribute, disseminate, sell, publish or sublicense the work or any part of it without McGraw-Hill’s prior consent. -
Power Processing, Part 1. Electric Machinery Analysis
DOCONEIT MORE BD 179 391 SE 029 295,. a 'AUTHOR Hamilton, Howard B. :TITLE Power Processing, Part 1.Electic Machinery Analyiis. ) INSTITUTION Pittsburgh Onii., Pa. SPONS AGENCY National Science Foundation, Washingtcn, PUB DATE 70 GRANT NSF-GY-4138 NOTE 4913.; For related documents, see SE 029 296-298 n EDRS PRICE MF01/PC10 PusiPostage. DESCRIPTORS *College Science; Ciirriculum Develoiment; ElectricityrFlectrOmechanical lechnology: Electronics; *Fagineering.Education; Higher Education;,Instructional'Materials; *Science Courses; Science Curiiculum:.*Science Education; *Science Materials; SCientific Concepts ABSTRACT A This publication was developed as aportion of a two-semester sequence commeicing ateither the sixth cr'seventh term of,the undergraduate program inelectrical engineering at the University of Pittsburgh. The materials of thetwo courses, produced by a ional Science Foundation grant, are concernedwith power convrs systems comprising power electronicdevices, electrouthchanical energy converters, and associated,logic Configurations necessary to cause the system to behave in a prescribed fashion. The emphisis in this portionof the two course sequence (Part 1)is on electric machinery analysis. lechnigues app;icable'to electric machines under dynamicconditions are anallzed. This publication consists of sevenchapters which cW-al with: (1) basic principles: (2) elementary concept of torqueand geherated voltage; (3)tile generalized machine;(4i direct current (7) macrimes; (5) cross field machines;(6),synchronous machines; and polyphase -
Power-Invariant Magnetic System Modeling
POWER-INVARIANT MAGNETIC SYSTEM MODELING A Dissertation by GUADALUPE GISELLE GONZALEZ DOMINGUEZ Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY August 2011 Major Subject: Electrical Engineering Power-Invariant Magnetic System Modeling Copyright 2011 Guadalupe Giselle González Domínguez POWER-INVARIANT MAGNETIC SYSTEM MODELING A Dissertation by GUADALUPE GISELLE GONZALEZ DOMINGUEZ Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Approved by: Chair of Committee, Mehrdad Ehsani Committee Members, Karen Butler-Purry Shankar Bhattacharyya Reza Langari Head of Department, Costas Georghiades August 2011 Major Subject: Electrical Engineering iii ABSTRACT Power-Invariant Magnetic System Modeling. (August 2011) Guadalupe Giselle González Domínguez, B.S., Universidad Tecnológica de Panamá Chair of Advisory Committee: Dr. Mehrdad Ehsani In all energy systems, the parameters necessary to calculate power are the same in functionality: an effort or force needed to create a movement in an object and a flow or rate at which the object moves. Therefore, the power equation can generalized as a function of these two parameters: effort and flow, P = effort × flow. Analyzing various power transfer media this is true for at least three regimes: electrical, mechanical and hydraulic but not for magnetic. This implies that the conventional magnetic system model (the reluctance model) requires modifications in order to be consistent with other energy system models. Even further, performing a comprehensive comparison among the systems, each system’s model includes an effort quantity, a flow quantity and three passive elements used to establish the amount of energy that is stored or dissipated as heat. -
IEEE/PES Transformers Committee
IEEE/PES Transformers Committee Meeting Minutes April 18, 2002 IEEE/PES TRANSFORMERS COMMITTEE MEETING April 18, 2002 Vancouver, British Columbia, Canada IEEE/PES TRANSFORMERS COMMITTEE MEETING Vancouver, British Columbia, Canada April 14-18, 2002 ATTENDANCE SUM MARY MEMBERS ATTENDING, AND PRESENT FOR MAIN MEETING (4/18) Aho, David Fyvie, Jim MacMillan, Donald Riffon, Pierre Allan, Dennis Ghafourian, Ali Marek, Rick Romano, Ken Anderson, Greg Girgis , Ramsis Matthews, John Rossetti, John Arteaga, Javier Graham, Richard McClure, Phil Schweiger, Ewald Ayers, Don Griesacker, Bill McNelly, Susan Shull, Stephen Barnard, Dave Grunert, Bob McQuin, Nigel Sim, Jin Bartley, Bill Haas, Michael McTaggart, Ross Singh, Prit Blackburn III, Gene Hager, Jr., Red Miller, Kent Smith, Jim Boettger, Bill Haggerty, N. Kent Mitelman, Mike Smith, Ed Borst, John Hanus, Ken Molden, Arthur Stahara, Ron Chiu, Bill Harlow, Jim Niemann, Carl Stiegemeier, Craig Colopy, Craig Hayes, Roger Papp, Klaus Thompson, James Corkran, Jerry Highton, Keith R. Patel, Bipin Tuli, Subhash Crouse, John Hopkinson, Phil Patton, Jesse Veitch, Bob Dohnal, Dieter James, Rowland Payne, Paulette Wagenaar, Loren Duckett, Don Johnson, Jr., Chuck Pekarek, Tom Ward, Barry Dudley, Richard Kelly, Joe Plaster, Leon Watson, Joe Elliott, Fred Kennedy, Sheldon Platts, Don Wilks, Alan Ellis , Keith Kim, Dong Preininger, Gustav Zhao, Peter Fallon, Don Lau, Mike Prevost, Tom Foldi, Joe Lowe, Don Puri, Jeewan MEMBERS ATTENDING, BUT NOT PRESENT FOR MAIN MEETING (4/18) Antosz, Stephen Galloway, Dudley Kline, -
On Simplified Calculations of Leakage Inductances of Power Transformers
energies Article On Simplified Calculations of Leakage Inductances of Power Transformers Tadeusz Sobczyk * and Marcin Jaraczewski * Faculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24 Street, 31-155 Cracow, Poland * Correspondence: [email protected] (T.S.); [email protected] (M.J.); Tel.: +48-12-628-2658 (M.J.) Received: 1 August 2020; Accepted: 17 September 2020; Published: 21 September 2020 Abstract: This paper deals with the problem of the leakage inductance calculations in power transformers. Commonly, the leakage flux in the air zone is represented by short-circuit inductance, which determines the short-circuit voltage, which is a very important factor for power transformers. That inductance is a good representation of the typical power transformer windings, but it is insufficient for multi-winding ones. This paper presents simple formulae for self- and mutual leakage inductance calculations for an arbitrary pair of windings. It follows from a simple 1D approach to analyzing the stray field using a discrete differential operator, and it was verified by the finite element method (FEM) calculation results. Keywords: multi-winding transformers; 1D stray field analysis; discrete differential operator; energy-based approach; self- and mutual leakage inductances 1. Introduction Power transformers are rather well-recognized electromagnetic devices. During the almost 150 year history of their development, countless books and papers have been devoted to power transformers, examples of which are [1–4]. Theoretical, design and operation problems have been solved. Besides the classical single-phase and three-phase, new types of power transformers have been designed for special applications: power system control, power electronics units, or electrical traction. -
Transient Simulation of Magnetic Circuits Using the Permeance-Capacitance Analogy
Transient Simulation of Magnetic Circuits Using the Permeance-Capacitance Analogy Jost Allmeling Wolfgang Hammer John Schonberger¨ Plexim GmbH Plexim GmbH TridonicAtco Schweiz AG Technoparkstrasse 1 Technoparkstrasse 1 Obere Allmeind 2 8005 Zurich, Switzerland 8005 Zurich, Switzerland 8755 Ennenda, Switzerland Email: [email protected] Email: [email protected] Email: [email protected] Abstract—When modeling magnetic components, the R1 Lσ1 Lσ2 R2 permeance-capacitance analogy avoids the drawbacks of traditional equivalent circuits models. The magnetic circuit structure is easily derived from the core geometry, and the Ideal Transformer Lm Rfe energy relationship between electrical and magnetic domain N1:N2 is preserved. Non-linear core materials can be modeled with variable permeances, enabling the implementation of arbitrary saturation and hysteresis functions. Frequency-dependent losses can be realized with resistors in the magnetic circuit. Fig. 1. Transformer implementation with coupled inductors The magnetic domain has been implemented in the simulation software PLECS. To avoid numerical integration errors, Kirch- hoff’s current law must be applied to both the magnetic flux and circuit, in which inductances represent magnetic flux paths the flux-rate when solving the circuit equations. and losses incur at resistors. Magnetic coupling between I. INTRODUCTION windings is realized either with mutual inductances or with ideal transformers. Inductors and transformers are key components in modern power electronic circuits. Compared to other passive com- Using coupled inductors, magnetic components can be ponents they are difficult to model due to the non-linear implemented in any circuit simulator since only electrical behavior of magnetic core materials and the complex structure components are required.