Rotational Systems, Gears, and DC Servo Motors


 Grace Peters
 1 years ago
 Views:
Transcription
1 Rotational Systems Rotational Systems, Gears, and DC Servo Motors Rotational systems behave exactly like translational systems, except that The state (angle) is denoted with rather than x (position) Inertia is called J (rather than M) Friction is called D (rather than B) θ Otherwise, the symbols, circuit equivalent, and analysis for rotational systems is exactly like translational systems. Z = R (resistor) Z = Ls (inductor) Z = 1/Cs (capacitor) Electrical Circuits I = 1 Z V Inertia Translational Systems F M X F = Ms 2 X Friction B F = BsX Spring K F = KX Inertia Rotational Systems T Q J T = Js 2 θ Friction D T = Dsθ Spring K T = Kθ JSG 1 October 5, 216
2 Example: Draw the circuit equivalent and write the equations of motion for the following rotational system. T Q2 Q3 K1 K2 K3 J1 J2 J3 D1 D2 D3 Inertia  Spring Rotational System Solution: Note that each term is an admittance. Draw the circuit equivalent. There are three masses, which result in three voltages nodes (each angle corresponds to a voltage node). Each element corresponds to an impedance. K1 Q2 K2 A3 T J1 s 2 D1 s J2 s 2 J3 s 2 D2 s D3 s K3 The voltage node equations are then: Circuit Equivalent ( s 2 + D 1 s + K 1)θ 1 (K 1 )θ 2 = T (J 2 s 2 + D 2 s + K 1 + K 2)θ 2 (K 1 )θ 1 (K 2 )θ 2 = (J 3 s 2 + D 3 s + K 2 + K 3)θ 3 (K 2 )θ 2 = Placing this in statespace form is identical to what we did with massspring systems. Solve for the highest derivative: s 2 θ 1 = D 1 s + K 1 θ 1 + K 1 θ T s 2 θ 2 = D 2s J 2 + K 1+K 2 J 2 θ 2 + K 1 J 2 θ 1 + K 2 J 2 θ 2 s 2 θ 3 = D 3s J 3 + K 2+K 3 J 3 θ 3 + K 2 J 3 θ 2 Defining the states to be the angles and the derivatives, in matrix form this is JSG 2 October 5, 216
3 Gears NDSU Rotational Systems, Gears, and DC Servo Motors ECE 461 sθ 1 sθ 2 sθ 3... s 2 θ 1 s 2 θ 2 s 2 θ 3 = D. 1 K 1 K 1 K 1 K 1 K 2 K 2. D 2 K 2 K 2 K 3. D 3 J 3 J 2 θ 1 θ 2 θ 3... sθ 1 sθ 2 sθ T Gears are like transformers: They convert one speed to another as the gear ratio, They convert one impedance to another as the gear ratio squared. The governing equation for a gear is that the distance traveled at the interface must be the same for both gears: distance = rθ d 1 = r 1 θ 1 d 2 = r 2 θ 2 d 1 = d 2 or r 1 θ 1 = r 2 θ 2 θ 1 = r 2 r 1 θ 2 JSG 3 October 5, 216
4 Gear 2 Gear 1 F2 r2 r1 Q2 F1 Two gears, where gear 1 turns gear 2 The torques are also related by the turn ration. Torque is: T 1 = F 1 r 1 T 2 = F 2 r 2 At the tip, each force has an equal and opposite force: resulting in F 1 = F 2 T 1 r 1 = T 2 r 2 T 1 = r 1 r 2 T 2 Admittance is the ratio T 1 = Ms 2 θ 1 Relative to the other side of the gear: or r 1 r 2 T 2 = (Ms 2 ) r 2 r 1 θ 2 T 2 = r 2 r 1 2(Ms 2 )θ 2 Impedances go through a gear as the turn ratio squared JSG 4 October 5, 216
5 Example: T K1 1 : 5 = 5 Q2 Q3 K3 J1 J3 D1 D3 Q2 J2 K2 D2 1 : 5 Q2 = 5 Q3 i) Draw the circuit equivalent with the gears K1 K2 Q2 1 : 5 1 : 5 A3 T J1 s 2 D1 s J2 s 2 J3 s 2 D2 s D3 s K3 Circuit Equivalent for Rotational Gear System ii) Take out the gears by scaling the impedance by the turn ratio squared Y new where going to where coming from 2 Yold K1 Q2'.4 K2 Q3'.4 J2 s 2.16 J3 s 2.16 D3 s T J1 s 2 D1 s.4 D2 s.16 K3 x 1/25 x 1/625 JSG 5 October 5, 216
6 iii) Write the equations of motion (i.e. write the voltage node equations, noting that all terms are impedance). (note: is used rather than as a reminder that the node voltages are scaled by the gear ratio.) φ θ ( s 2 + D 1 s + K 1)φ 1 (K 1 )φ 2 = T J s 2 + D s + K 1 + K φ 2 (K 1 )φ 1 K φ 3 = J s 2 + D s + K 1 + K φ 3 K φ 2 = From this point onward, it's the same as before. DC Servo Motors A DC Servo Motor is a type of motor which is often used with rotational systems. It has the advantage that Torque is proportional to current (making it easy to apply torques to a rotational system) Spins when a constant voltage is applied (operating as a motor), or Provides a constant voltage when spun (operating as a DC generator  a.k.a. a dynamo) A DC servo motor is a 2lead motor which spins when a constant voltage is applied (motor) or produces a constant voltage when spun (generator) (image from Internally, a DC motor has A permanent magnet (field winding) on the outside, An electromagnet on the inside (armature), and A commutator which switches the polarity of the current (voltage) so that the torque remains in the same direction as the motor spins. A DC servo motor is essentially an electromagnet, with the following circuit equivalent: JSG 6 October 5, 216
7 Ra Las Ia Q Va Kt*dQ/dt +  KtIa Js 2 Ds Circuit equivalent for a DC servo motor Kt is a constant for the motor. It describes how the motor works as a generator, creating a back voltage proportional to speed E a = K t dθ dt = K t ω as well as a motor where the torque is proportional to the armature current T = K t I a It isn't obvious, but Kt is the same for both equations. To see this, note that power out = power in P in = P out E a I a = Tω Substituting for Ea and T: (K t1 ω)i a = (K t2 I a)ω K t1 = K t2 Here you can see that the two constants are the same. The equations for this are then or V a = K t(sq) + (R a + L a s)i a K t I a = (Js 2 + Ds)Q Solving gives Q = 1 s K t 2 (Js+D)(L as+r a)+k t if the output is angle (Q) or ω= dq dt = if the output is speed. K t 2 (Js+D)(L as+r a)+k t V a V a JSG 7 October 5, 216
8 Example: Determine the transfer function for a DC servo motor with the following specifications: ( K t =.3Nm/A Terminal resistance = 1.6 (Ra) Armature inductance = 4.1mH (La) Rotor Inertia =.8 ozin/sec/sec ugh  english units Damping Contant =.25 ozin/krpm double ugh Torque Constant = 13.7 ozin/amp Peak current = 34 amps Max operating speed = 6 rpm You need to translate to metric: Kt: 13.7 oz in amp 1m 39.4in D:.25 oz in min krev J:.8 oz in sec 2 1lb 16oz.454kg lb 9.8N kg =.967 N m A 1Nm 141.7oz in Nm 141.7oz in 6 sec min krev 1rev kg 9.8N = kg m rev 2πrad = Nm s 2 rad/sec Plugging in numbers: Q = s(s s+63 2 ) V = 1.31(63) 2 s(s j598)(s j598) V This means... If you apply a constant +12V to the motor, the motor spins at a speed of rad/sec. (1.31*12) It takes about 2ms for the motor to get up to speed (Ts = 4/196) The motor will overshoot it's final speed (123 rad/sec) by 35% (damping ratio =.3119) JSG 8 October 5, 216
9 Gears and Wheels: It isn't obvious, but a wheel is a type of gear or transformer. The circuit symbol for a gear 5 : 1 Q2 means 5 θ 1 = 1 θ 2 A wheel converts rotational motion to translational motion as where x = rθ x is the displacement in meters r is the radius of the wheel and θ is the angle in radians. Example: Find the dynamics of the previous motor if it is driving a cart with a mass of 2kg through a wheel with a diameter of 3cm (.3m) X 2kg Q First, draw the circuit equivalent La s Ra Ia Q r : 1 x Va +  Kt W +  Kt Ia Js2 Bs 2kg Remove the gear by translating the 2kg mass to the motor angle x = rθ 2kg r 2 1 =.18 kg m 2 The net inertia is then JSG 9 October 5, 216
10 J motor + J mass = = The motor dynamics are then θ= 1361 s(s+3.273)(s+387) V a The motor dynamics have a complex pole  which might seem odd. Motors are intended to be used to drive something, however. If you drive a cart with a mass of 2kg through wheels with a radius of 3cm, the complex poles shift to { , 387 }. The complex poles will shift (and probably become real) when connected to a load. JSG 1 October 5, 216
INC 341 Feedback Control Systems: Lecture 3 Transfer Function of Dynamic Systems II
INC 341 Feedback Control Systems: Lecture 3 Transfer Function of Dynamic Systems II Asst. Prof. Dr.Ing. Sudchai Boonto Department of Control Systems and Instrumentation Engineering King Mongkut s University
More informationDC Shunt Excited Motor
A DC motor has DC hunt Excited Motor A constant (DC) magnetic field for the stator, and A constant (DC) magnetic field in the rotor, That switches as the motor rotates. This switching results in a constant
More informationE11 Lecture 13: Motors. Professor Lape Fall 2010
E11 Lecture 13: Motors Professor Lape Fall 2010 Overview How do electric motors work? Electric motor types and general principles of operation How well does your motor perform? Torque and power output
More informationIntroduction to Controls
EE 474 Review Exam 1 Name Answer each of the questions. Show your work. Note were essaytype answers are requested. Answer with complete sentences. Incomplete sentences will count heavily against the grade.
More informationDcMotor_ Model Help File
Name of Model: DcMotor_021708 Author: Vladimir L. Chervyakov Date: 20021026 Executable file name DcMotor_021708.vtm Version number: 1.0 Description This model represents a Nonlinear model of a permanent
More informationFeedback Control Systems
ME Homework #0 Feedback Control Systems Last Updated November 06 Text problem 67 (Revised Chapter 6 Homework Problems attached) 65 Chapter 6 Homework Problems 65 Transient Response of a Second Order Model
More informationENGG4420 LECTURE 7. CHAPTER 1 BY RADU MURESAN Page 1. September :29 PM
CHAPTER 1 BY RADU MURESAN Page 1 ENGG4420 LECTURE 7 September 21 10 2:29 PM MODELS OF ELECTRIC CIRCUITS Electric circuits contain sources of electric voltage and current and other electronic elements such
More informationME 375 Final Examination Thursday, May 7, 2015 SOLUTION
ME 375 Final Examination Thursday, May 7, 2015 SOLUTION POBLEM 1 (25%) negligible mass wheels negligible mass wheels v motor no slip ω r r F D O no slip e in Motor% Cart%with%motor%a,ached% The coupled
More informationPositioning Servo Design Example
Positioning Servo Design Example 1 Goal. The goal in this design example is to design a control system that will be used in a pickandplace robot to move the link of a robot between two positions. Usually
More informationTexas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos
Texas A & M University Department of Mechanical Engineering MEEN 364 Dynamic Systems and Controls Dr. Alexander G. Parlos Lecture 6: Modeling of Electromechanical Systems Principles of Motor Operation
More informationSchool of Mechanical Engineering Purdue University. ME375 ElectroMechanical  1
ElectroMechanical Systems DC Motors Principles of Operation Modeling (Derivation of fg Governing Equations (EOM)) Block Diagram Representations Using Block Diagrams to Represent Equations in s  Domain
More informationOverview of motors and motion control
Overview of motors and motion control. Elements of a motioncontrol system Power upply Highlevel controller owlevel controller Driver Motor. Types of motors discussed here; Brushed, PM DC Motors Cheap,
More informationMotor Info on the WWW Motorola Motors DC motor» /MOTORDCTUT.
Motor Info on the WWW Motorola Motors DC motor» http://www.freescale.com/files/microcontrollers/doc/train_ref_material /MOTORDCTUT.html Brushless DC motor» http://www.freescale.com/files/microcontrollers/doc/train_ref_material
More information2002 Prentice Hall, Inc. Gene F. Franklin, J. David Powell, Abbas EmamiNaeini Feedback Control of Dynamic Systems, 4e
u Figure 2.1 Cruisecontrol model x Friction force bx m x u Figure 2.2 Freebody diagram for cruise control S P 278 Figure 2.3 Automobile suspension y m 2 k s b v car x m 1 k w Road surface r Inertial
More informationMechatronics Engineering. Li Wen
Mechatronics Engineering Li Wen Bioinspired robotdc motor drive Unstable system Mirko Kovac,EPFL Modeling and simulation of the control system Problems 1. Why we establish mathematical model of the control
More informationEDEXCEL NATIONALS UNIT 5  ELECTRICAL AND ELECTRONIC PRINCIPLES. ASSIGNMENT No. 3  ELECTRO MAGNETIC INDUCTION
EDEXCEL NATIONALS UNIT 5  ELECTRICAL AND ELECTRONIC PRINCIPLES ASSIGNMENT No. 3  ELECTRO MAGNETIC INDUCTION NAME: I agree to the assessment as contained in this assignment. I confirm that the work submitted
More informationECEN 420 LINEAR CONTROL SYSTEMS. Lecture 6 Mathematical Representation of Physical Systems II 1/67
1/67 ECEN 420 LINEAR CONTROL SYSTEMS Lecture 6 Mathematical Representation of Physical Systems II State Variable Models for Dynamic Systems u 1 u 2 u ṙ. Internal Variables x 1, x 2 x n y 1 y 2. y m Figure
More informationMassachusetts Institute of Technology Department of Electrical Engineering and Computer Science Electric Machines
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.685 Electric Machines Problem Set 10 Issued November 11, 2013 Due November 20, 2013 Problem 1: Permanent
More informationControl of Wind Turbine Generators. James Cale Guest Lecturer EE 566, Fall Semester 2014 Colorado State University
Control of Wind Turbine Generators James Cale Guest Lecturer EE 566, Fall Semester 2014 Colorado State University Review from Day 1 Review Last time, we started with basic concepts from physics such as
More informationFEEDBACK CONTROL SYSTEMS
FEEDBAC CONTROL SYSTEMS. Control System Design. Open and ClosedLoop Control Systems 3. Why ClosedLoop Control? 4. Case Study  Speed Control of a DC Motor 5. SteadyState Errors in Unity Feedback Control
More informationSolved Problems. Electric Circuits & Components. 11 Write the KVL equation for the circuit shown.
Solved Problems Electric Circuits & Components 11 Write the KVL equation for the circuit shown. 12 Write the KCL equation for the principal node shown. 12A In the DC circuit given in Fig. 1, find (i)
More informationINDUCTION MOTOR MODEL AND PARAMETERS
APPENDIX C INDUCTION MOTOR MODEL AND PARAMETERS C.1 Dynamic Model of the Induction Motor in Stationary Reference Frame A three phase induction machine can be represented by an equivalent two phase machine
More informationChapter 4. Synchronous Generators. Basic Topology
Basic Topology Chapter 4 ynchronous Generators In stator, a threephase winding similar to the one described in chapter 4. ince the main voltage is induced in this winding, it is also called armature winding.
More informationR10 JNTUWORLD B 1 M 1 K 2 M 2. f(t) Figure 1
Code No: R06 R0 SET  II B. Tech II Semester Regular Examinations April/May 03 CONTROL SYSTEMS (Com. to EEE, ECE, EIE, ECC, AE) Time: 3 hours Max. Marks: 75 Answer any FIVE Questions All Questions carry
More informationNoise  irrelevant data; variability in a quantity that has no meaning or significance. In most cases this is modeled as a random variable.
1.1 Signals and Systems Signals convey information. Systems respond to (or process) information. Engineers desire mathematical models for signals and systems in order to solve design problems efficiently
More informationLOCOG DC Gearmotors. Series GM8000. Series GM9000. Series GM BULLETIN LCG Series GM8000, GM9000, GM Power Your Ideas
BULLETIN LCG Series GM8, GM9, GM149 LOCOG DC Gearmotors Pittman brand LOCOG brushcommutated DC gearmotors offer smooth, quiet operation and long life. LOCOG gearmotors feature sintered steel spur gears
More informationPower and Energy Measurement
Power and Energy Measurement EIE 240 Electrical and Electronic Measurement April 24, 2015 1 Work, Energy and Power Work is an activity of force and movement in the direction of force (Joules) Energy is
More informationModel of a DC Generator Driving a DC Motor (which propels a car)
Model of a DC Generator Driving a DC Motor (which propels a car) John Hung 5 July 2011 The dc is connected to the dc as illustrated in Fig. 1. Both machines are of permanent magnet type, so their respective
More informationEE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, pm, Room TBA
EE 3120 Electric Energy Systems Study Guide for Prerequisite Test Wednesday, Jan 18, 2006 67 pm, Room TBA First retrieve your EE2110 final and other course papers and notes! The test will be closed book
More informationTutorial 1  Drive fundamentals and DC motor characteristics
University of New South Wales School of Electrical Engineering & elecommunications ELEC4613 ELECRIC DRIVE SYSEMS utorial 1  Drive fundamentals and DC motor characteristics 1. In the hoist drive system
More information(a) Torsional springmass system. (b) Spring element.
m v s T s v a (a) T a (b) T a FIGURE 2.1 (a) Torsional springmass system. (b) Spring element. by ky Wall friction, b Mass M k y M y r(t) Force r(t) (a) (b) FIGURE 2.2 (a) Springmassdamper system. (b)
More informationObjectives. Power in Translational Systems 298 CHAPTER 6 POWER
Objectives Explain the relationship between power and work. Explain the relationship between power, force, and speed for an object in translational motion. Calculate a device s efficiency in terms of the
More informationCh. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies
Ch. 23 Electromagnetic Induction, AC Circuits, And Electrical Technologies Induced emf  Faraday s Experiment When a magnet moves toward a loop of wire, the ammeter shows the presence of a current When
More informationIntroduction to Synchronous. Machines. Kevin Gaughan
Introduction to Synchronous Machines Kevin Gaughan The Synchronous Machine An AC machine (generator or motor) with a stator winding (usually 3 phase) generating a rotating magnetic field and a rotor carrying
More informationA FORCE BALANCE TECHNIQUE FOR MEASUREMENT OF YOUNG'S MODULUS. 1 Introduction
A FORCE BALANCE TECHNIQUE FOR MEASUREMENT OF YOUNG'S MODULUS Abhinav A. Kalamdani Dept. of Instrumentation Engineering, R. V. College of Engineering, Bangalore, India. kalamdani@ieee.org Abstract: A new
More informationIntroduction to Control (034040) lecture no. 2
Introduction to Control (034040) lecture no. 2 Leonid Mirkin Faculty of Mechanical Engineering Technion IIT Setup: Abstract control problem to begin with y P(s) u where P is a plant u is a control signal
More information8 z 2, then the greatest value of z is. 2. The principal argument/amplitude of the complex number 1 2 i (C) (D) 3 (C)
1. If z is a complex number and if 8 z 2, then the greatest value of z is z (A) 2 (B) 3 (C) 4 (D) 5 4 2. The principal argument/amplitude of the complex number 1 2 i 1 3i is (A) 2 (B) 4 (C) (D) 3 4 3.
More informationMECHATRONICS ENGINEERING TECHNOLOGY. Modeling a Servo Motor System
Modeling a Servo Motor System Definitions Motor: A device that receives a continuous (Analog) signal and operates continuously in time. Digital Controller: Discretizes the amplitude of the signal and also
More informationThe basic principle to be used in mechanical systems to derive a mathematical model is Newton s law,
Chapter. DYNAMIC MODELING Understanding the nature of the process to be controlled is a central issue for a control engineer. Thus the engineer must construct a model of the process with whatever information
More informationPassive RL and RC Filters
NDSU Passive RL and RC Filters ECE 3 Passive RL and RC Filters A filter is a system whose gain changes with frequency. Essentially, all dynamic systems are filters. Stage LowPass Filter For the following
More informationPESIT Bangalore South Campus Hosur road, 1km before Electronic City, Bengaluru 100 Department of Electronics & Communication Engineering
QUESTION PAPER INTERNAL ASSESSMENT TEST 2 Date : /10/2016 Marks: 0 Subject & Code: BASIC ELECTRICAL ENGINEERING 15ELE15 Sec : F,G,H,I,J,K Name of faculty : Dhanashree Bhate, Hema B, Prashanth V Time :
More informationChapter three. Mathematical Modeling of mechanical end electrical systems. Laith Batarseh
Chapter three Mathematical Modeling of mechanical end electrical systems Laith Batarseh 1 Next Previous Mathematical Modeling of mechanical end electrical systems Dynamic system modeling Definition of
More informationPower and Energy Measurement
Power and Energy Measurement ENE 240 Electrical and Electronic Measurement Class 11, February 4, 2009 werapon.chi@kmutt.ac.th 1 Work, Energy and Power Work is an activity of force and movement in the direction
More informationUniversity of Jordan Faculty of Engineering & Technology Electric Power Engineering Department
University of Jordan Faculty of Engineering & Technology Electric Power Engineering Department EE471: Electrical MachinesII Tutorial # 2: 3ph Induction Motor/Generator Question #1 A 100 hp, 60Hz, threephase
More information3 Lab 3: DC Motor Transfer Function Estimation by Explicit Measurement
3 Lab 3: DC Motor Transfer Function Estimation by Explicit Measurement 3.1 Introduction There are two common methods for determining a plant s transfer function. They are: 1. Measure all the physical parameters
More informationEE313 Fall 2013 Exam #1 (100 pts) Thursday, September 26, 2013 Name. 1) [6 pts] Convert the following timedomain circuit to the RMS Phasor Domain.
Name If you have any questions ask them. Remember to include all units on your answers (V, A, etc). Clearly indicate your answers. All angles must be in the range 0 to +180 or 0 to 180 degrees. 1) [6 pts]
More informationState Space Representation
ME Homework #6 State Space Representation Last Updated September 6 6. From the homework problems on the following pages 5. 5. 5.6 5.7. 5.6 Chapter 5 Homework Problems 5.6. Simulation of Linear and Nonlinear
More informationMutual Inductance. The field lines flow from a + charge to a  change
Capacitors Mutual Inductance Since electrical charges do exist, electric field lines have a starting point and an ending point. For example, if you have a + and a  change, the field lines would look something
More informationModeling and Simulation Revision III D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N
Modeling and Simulation Revision III D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N 0 1 4 Block Diagrams Block diagram models consist of two fundamental objects:
More informationMechatronics Modeling and Analysis of Dynamic Systems CaseStudy Exercise
Mechatronics Modeling and Analysis of Dynamic Systems CaseStudy Exercise Goal: This exercise is designed to take a realworld problem and apply the modeling and analysis concepts discussed in class. As
More informationRotational Mechanical Systems. Unit 2: Modeling in the Frequency Domain Part 6: Modeling Rotational Mechanical Systems
Unit 2: Modeling in the Frequency Domain Part 6: Modeling Rotational mechanical systems are modelled in almost the same way as translational systems except that... We replace displacement, x(t) with angular
More information6) Motors and Encoders
6) Motors and Encoders Electric motors are by far the most common component to supply mechanical input to a linear motion system. Stepper motors and servo motors are the popular choices in linear motion
More informationAutomatic Control Systems. Lecture Note 15
Lecture Note 15 Modeling of Physical Systems 5 1/52 AC Motors AC Motors Classification i) Induction Motor (Asynchronous Motor) ii) Synchronous Motor 2/52 Advantages of AC Motors i) Costeffective ii)
More informationWork, Energy and Power
1 Work, Energy and Power Work is an activity of force and movement in the direction of force (Joules) Energy is the capacity for doing work (Joules) Power is the rate of using energy (Watt) P = W / t,
More informationLinear Systems Theory
ME 3253 Linear Systems Theory Review Class Overview and Introduction 1. How to build dynamic system model for physical system? 2. How to analyze the dynamic system?  Time domain  Frequency domain (Laplace
More informationMATHEMATICAL MODELING OF OPEN LOOP PMDC MOTOR USING MATLAB/SIMULINK
MATHEMATICAL MODELING OF OPEN LOOP PMDC MOTOR USING MATLAB/SIMULINK 1 Mr.Dhaval K.Patel 1 Assistant Professor, Dept. of Electrical Engineering. Gidc Degree Engineering College Abrama, Navsari. ABSTRACT:
More informationElectric Machines I Three Phase Induction Motor. Dr. Firas Obeidat
Electric Machines I Three Phase Induction Motor Dr. Firas Obeidat 1 Table of contents 1 General Principles 2 Construction 3 Production of Rotating Field 4 Why Does the Rotor Rotate 5 The Slip and Rotor
More informationPRACTICE EXAM 1 for Midterm 2
PRACTICE EXAM 1 for Midterm 2 Multiple Choice Questions 1) The figure shows three identical lightbulbs connected to a battery having a constant voltage across its terminals. What happens to the brightness
More informationELECTROMAGNETIC INDUCTION
ELECTROMAGNETIC INDUCTION 1. Magnetic Flux 2. Faraday s Experiments 3. Faraday s Laws of Electromagnetic Induction 4. Lenz s Law and Law of Conservation of Energy 5. Expression for Induced emf based on
More informationLesson 17: Synchronous Machines
Lesson 17: Synchronous Machines ET 332b Ac Motors, Generators and Power Systems Lesson 17_et332b.pptx 1 Learning Objectives After this presentation you will be able to: Explain how synchronous machines
More informationInternational Journal of Advance Engineering and Research Development SIMULATION OF FIELD ORIENTED CONTROL OF PERMANENT MAGNET SYNCHRONOUS MOTOR
Scientific Journal of Impact Factor(SJIF): 3.134 eissn(o): 23484470 pissn(p): 23486406 International Journal of Advance Engineering and Research Development Volume 2,Issue 4, April 2015 SIMULATION
More informationExercise 5  Hydraulic Turbines and Electromagnetic Systems
Exercise 5  Hydraulic Turbines and Electromagnetic Systems 5.1 Hydraulic Turbines Whole courses are dedicated to the analysis of gas turbines. For the aim of modeling hydraulic systems, we analyze here
More informationRevision Guide for Chapter 15
Revision Guide for Chapter 15 Contents tudent s Checklist Revision otes Transformer... 4 Electromagnetic induction... 4 Generator... 5 Electric motor... 6 Magnetic field... 8 Magnetic flux... 9 Force on
More informationDynamic Modeling. For the mechanical translational system shown in Figure 1, determine a set of first order
QUESTION 1 For the mechanical translational system shown in, determine a set of first order differential equations describing the system dynamics. Identify the state variables and inputs. y(t) x(t) k m
More informationDC Motor Position: System Modeling
1 of 7 01/03/2014 22:07 Tips Effects TIPS ABOUT BASICS INDEX NEXT INTRODUCTION CRUISE CONTROL MOTOR SPEED MOTOR POSITION SUSPENSION INVERTED PENDULUM SYSTEM MODELING ANALYSIS DC Motor Position: System
More informationGet Discount Coupons for your Coaching institute and FREE Study Material at ELECTROMAGNETIC INDUCTION
ELECTROMAGNETIC INDUCTION 1. Magnetic Flux 2. Faraday s Experiments 3. Faraday s Laws of Electromagnetic Induction 4. Lenz s Law and Law of Conservation of Energy 5. Expression for Induced emf based on
More informationET37: Modelling II(V) Electrical, Mechanical and Thermal Systems
ET37: Modelling II(V) Electrical, Mechanical and Thermal Systems Agenda of the Day 1. Resume of lesson I 2. Basic system models. 3. Models of basic electrical system elements 4. Application of Matlab/Simulink
More informationElectrical Machines and Energy Systems: Operating Principles (Part 2) SYED A Rizvi
Electrical Machines and Energy Systems: Operating Principles (Part 2) SYED A Rizvi AC Machines Operating Principles: Synchronous Motor In synchronous motors, the stator of the motor has a rotating magnetic
More informationAlternating Current. Symbol for A.C. source. A.C.
Alternating Current Kirchoff s rules for loops and junctions may be used to analyze complicated circuits such as the one below, powered by an alternating current (A.C.) source. But the analysis can quickly
More informationEE 40: Introduction to Microelectronic Circuits Spring 2008: Midterm 2
EE 4: Introduction to Microelectronic Circuits Spring 8: Midterm Venkat Anantharam 3/9/8 Total Time Allotted : min Total Points:. This is a closed book exam. However, you are allowed to bring two pages
More informationAppendix A: Exercise Problems on Classical Feedback Control Theory (Chaps. 1 and 2)
Appendix A: Exercise Problems on Classical Feedback Control Theory (Chaps. 1 and 2) For all calculations in this book, you can use the MathCad software or any other mathematical software that you are familiar
More informationMAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194
MAY/JUNE 2006 Question & Model Answer IN BASIC ELECTRICITY 194 Question 1 (a) List three sources of heat in soldering (b) state the functions of flux in soldering (c) briefly describe with aid of diagram
More informationTwoMass, ThreeSpring Dynamic System Investigation Case Study
Twoass, ThreeSpring Dynamic System Investigation Case Study easurements, Calculations, anufacturer's Specifications odel Parameter Identification Which Parameters to Identify? What Tests to Perform?
More informationMCE380: Measurements and Instrumentation Lab. Chapter 5: Electromechanical Transducers
MCE380: Measurements and Instrumentation Lab Chapter 5: Electromechanical Transducers Part I Topics: Transducers and Impedance Magnetic Electromechanical Coupling Reference: Holman, CH 4. Cleveland State
More informationBasics of Network Theory (PartI)
Basics of Network Theory (PartI). A square waveform as shown in figure is applied across mh ideal inductor. The current through the inductor is a. wave of peak amplitude. V 0 0.5 t (m sec) [Gate 987: Marks]
More informationElectrical Machines and Energy Systems: Operating Principles (Part 1) SYED A Rizvi
Electrical Machines and Energy Systems: Operating Principles (Part 1) SYED A Rizvi AC Machines Operating Principles: Rotating Magnetic Field The key to the functioning of AC machines is the rotating magnetic
More informationEngineering Fundamentals and Problem Solving, 6e
Engineering Fundamentals and Problem Solving, 6e Chapter 17 Electrical Circuits Chapter Objectives Compute the equivalent resistance of resistors in series and in parallel Apply Ohm s law to a resistive
More informationCHAPTER 1 Basic Concepts of Control System. CHAPTER 6 Hydraulic Control System
CHAPTER 1 Basic Concepts of Control System 1. What is open loop control systems and closed loop control systems? Compare open loop control system with closed loop control system. Write down major advantages
More information2.4 Models of Oscillation
2.4 Models of Oscillation In this section we give three examples of oscillating physical systems that can be modeled by the harmonic oscillator equation. Such models are ubiquitous in physics, but are
More informationHandout 10: Inductance. SelfInductance and inductors
1 Handout 10: Inductance SelfInductance and inductors In Fig. 1, electric current is present in an isolate circuit, setting up magnetic field that causes a magnetic flux through the circuit itself. This
More informationSliding Conducting Bar
Motional emf, final For equilibrium, qe = qvb or E = vb A potential difference is maintained between the ends of the conductor as long as the conductor continues to move through the uniform magnetic field
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Spring 2003 Experiment 17: RLC Circuit (modified 4/15/2003) OBJECTIVES
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8. Spring 3 Experiment 7: R Circuit (modified 4/5/3) OBJECTIVES. To observe electrical oscillations, measure their frequencies, and verify energy
More informationGeneral Physics (PHY 2140)
General Physics (PHY 2140) Lecture 10 6/12/2007 Electricity and Magnetism Induced voltages and induction SelfInductance RL Circuits Energy in magnetic fields AC circuits and EM waves Resistors, capacitors
More informationPrediction of Electromagnetic Forces and Vibrations in SRMs Operating at Steady State and Transient Speeds
Prediction of Electromagnetic Forces and Vibrations in SRMs Operating at Steady State and Transient Speeds Zhangjun Tang Stryker Instruments Kalamazoo, MI 491 Phone: 26932377 Ext.363 Fax: 269323394
More informationApplied Electronics and Electrical Machines
School of Electrical and Computer Engineering Applied Electronics and Electrical Machines (ELEC 365) Fall 2015 DC Machines 1 DC Machines Key educational goals: Develop the basic principle of operation
More informationEqual Pitch and Unequal Pitch:
Equal Pitch and Unequal Pitch: EqualPitch MultipleStack Stepper: For each rotor stack, there is a toothed stator segment around it, whose pitch angle is identical to that of the rotor (θs = θr). A stator
More informationModeling and Simulation Revision IV D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N
Modeling and Simulation Revision IV D R. T A R E K A. T U T U N J I P H I L A D E L P H I A U N I V E R S I T Y, J O R D A N 2 0 1 7 Modeling Modeling is the process of representing the behavior of a real
More informationAn Introduction to Electrical Machines. P. Di Barba, University of Pavia, Italy
An Introduction to Electrical Machines P. Di Barba, University of Pavia, Italy Academic year 00 Contents Transformer. An overview of the device. Principle of operation of a singlephase transformer 3.
More informationClosed loop of moving charges (electrons move  flow of negative charges; positive ions move  flow of positive charges. Nucleus not moving)
Unit 2: Electricity and Magnetism Lesson 3: Simple Circuits Electric circuits transfer energy. Electrical energy is converted into light, heat, sound, mechanical work, etc. The byproduct of any circuit
More informationPhysics 420 Fall 2004 Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers.
Quiz 1 Wednesday This quiz is worth 6 points. Be sure to show your work and label your final answers. 1. A charge q 1 = +5.0 nc is located on the yaxis, 15 µm above the origin, while another charge q
More informationECE 5670/6670 Lab 8. Torque Curves of Induction Motors. Objectives
ECE 5670/6670 Lab 8 Torque Curves of Induction Motors Objectives The objective of the lab is to measure the torque curves of induction motors. Acceleration experiments are used to reconstruct approximately
More informationEncoders. Understanding. November design for industry: Help clean up the ocean. Horizon failure forensics
November 2013 www.designworldonline.com INSIDE: design for industry: Help clean up the ocean Page 18 3D CAD: FEA aids Deepwater Horizon failure forensics Page 37 Understanding NETWORKING: Enhancing enterprise
More informationSECTION 3 BASIC AUTOMATIC CONTROLS UNIT 12 BASIC ELECTRICITY AND MAGNETISM
SECTION 3 BASIC AUTOMATIC CONTROLS UNIT 12 BASIC ELECTRICITY AND MAGNETISM Unit Objectives Describe the structure of an atom. Identify atoms with a positive charge and atoms with a negative charge. Explain
More informationLecture (20) DC Machine Examples Start of Synchronous Machines
Lecture (20) DC Machine Examples Start of Synchronous Machines Energy Systems Research Laboratory, FIU All rights reserved. 201 Energy Systems Research Laboratory, FIU All rights reserved. 202 Ra R f
More informationUNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BSC (HONS) MECHATRONICS TOPUP SEMESTER 1 EXAMINATION 2017/2018 ADVANCED MECHATRONIC SYSTEMS
ENG08 UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BSC (HONS) MECHATRONICS TOPUP SEMESTER EXAMINATION 07/08 ADVANCED MECHATRONIC SYSTEMS MODULE NO: MEC600 Date: 7 January 08 Time: 0.00.00 INSTRUCTIONS TO
More informationExam 3 Topics. Displacement Current Poynting Vector. Faraday s Law Self Inductance. Circuits. Energy Stored in Inductor/Magnetic Field
Exam 3 Topics Faraday s Law Self Inductance Energy Stored in Inductor/Magnetic Field Circuits LR Circuits Undriven (R)LC Circuits Driven RLC Circuits Displacement Current Poynting Vector NO: B Materials,
More informationChapter 3: Fundamentals of Mechanics and Heat. 1/11/00 Electromechanical Dynamics 1
Chapter 3: Fundamentals of Mechanics and Heat 1/11/00 Electromechanical Dynamics 1 Force Linear acceleration of an object is proportional to the applied force: F = m a x(t) F = force acting on an object
More informationLab 3: Quanser Hardware and Proportional Control
Lab 3: Quanser Hardware and Proportional Control The worst wheel of the cart makes the most noise. Benjamin Franklin 1 Objectives The goal of this lab is to: 1. familiarize you with Quanser s QuaRC tools
More informationConventional PaperI2011 PARTA
Conventional PaperI0 PARTA.a Give five properties of static magnetic field intensity. What are the different methods by which it can be calculated? Write a Maxwell s equation relating this in integral
More information