COURSE HANDOUTM.Tech 1st Semester :: AY 2014-15Course Title: Electrical Machine Modeling and Analysis Course Code : EEEP1 1403

Course Structure: 4-0-4Instructor: T.S.L.V.Ayyarao

1. Course descriptionBasic Two- Pole machine representation of all electrical machines, Modeling of D.C Machines Steady state and transient state analysis, Reference frame theory Parks Transformation, Dynamic modeling and Small signal modeling of three phase induction machine, Analysis of symmetrical and unsymmetrical 2-phse induction machine, Modeling and analysis of Synchronous machine. 2. Scope and objective of courseThis course is designed for M.Tech Isemester students. The course is intended to make the students understand the concepts of modeling of electrical machines and analysis of these machines in steady state and transient state. Also to make the student to design various controllers for satisfactory operation of the machines in various industries applications. The main objective of the course is to: Know the concepts of generalized theory of electrical machines. Represent the DC and AC machines as Basic Two Pole machine. Model the electrical machines with voltage, current, torque and speed equations. Investigate the steady state and transient behavior of the electrical machines. Understand the dynamic behavior of the AC machines. Learn the issues affecting the behavior of different types machines such as sudden application of loads, short circuit etc.,At the end of the course, the students can: Apply knowledge of behavior of DC motors to model and analyze for different applications. Analyze the characteristics of different types of DC motors to design suitable controllers Apply the knowledge of reference frame theory for AC machines to model the induction and synchronous machines. Evaluate the steady state and transient behavior of induction and synchronous machines to propose the suitability of drives for different industrial applications Analyze the 2-Phase induction machines using voltage and torque equations to differentiate the behavior and to propose their applications in real world. 3. BOOKS:Text Books:1. Generalized Theory of Electrical Machies P.S.Bimbra Khanna publications 5th edition-19952. Electric motor Drives Modeling, Analysis and control R.Krishnan Pearson 3. Analysis of Electrical Machinery and Drive systems P.C.Krause, Oleg Wasynczuk, Scott D.Sudhoff Second Edition IEEE Press

Reference Books:1. Dynamic simulation of Electric machineryuing Matlab / Simulink - Chee Mun Ong- Prentice Hall2. Electrical Machine Dynamics - D.P.Sen Gupta and J.W.Lynn- The Macmillan Press Ltd

4. SYLLUBUS

UNIT I: BASIC CONCEPTS OF MODELLING & DC MACHINE MODELING

Basic Two-pole Machine representation of Commutator machines, 3-phase synchronous machine with and without damper bars and 3-phase induction machine, Krons primitive Machine-voltage, current and Torque equations.Mathematical model of separately excited D.C motor Steady State analysis-Transient State analysis-Sudden application of Inertia Load-Transfer function of Separately excited D.C Motor- Mathematical model of D.C Series motor, Shunt motor.UNIT II: DYNAMIC MODELING OF THREE PHASE INDUCTION MACHINE

Real time model of a two phase induction machine- Transformation to obtain constant matrices-three phase to two phase transformation-Power equivalence-Generalized model in arbitrary reference frame-Electromagnetic torque-Derivation of commonly used Induction machine models- Stator reference frame model-Rotor reference frame model-Synchronously rotating reference frame model-Equations in flux linkages-per unit model.UNIT III: SMALL SIGNAL MODELING OF THREE PHASE INDUCTION MACHINE Small signal equations of Induction machine-derivation-DQ flux linkage model derivation-control principle of Induction machine.SYMMETRICAL AND UNSYMMETRICAL 2 PHASE INDUCTION MACHINE Analysis of symmetrical 2 phase induction machine-voltage and torque equations for unsymmetrical 2 phase induction machine-voltage and torque equations in stationary reference frame variables for unsymmetrical 2 phase induction machine-analysis of steady state operation of unsymmetrical 2 phase induction machineUNIT IV: MODELLING OF SYNCHRONOUS MACHINE Synchronous machine inductances voltage equations in the rotors dq0 reference frame-electromagnetic torque-current in terms of flux linkages-simulation of three phase synchronous machine- Modeling of PM Synchronous motor.DYNAMIC ANALYSIS OF SYNCHRONOUS MACHINE Dynamic performance of synchronous machine, three-phase fault, comparison of actual and approximate transient torque characteristics, Equal area criteria.

5. LESSON PLAN

Lecture No.Learning ObjectivesTopics to be coveredReference

Unit I : BASIC CONCEPTS OF MODELING and DC MACHINE MODELING

1The Basic two pole MachineEssentials Electric machines Conventions representation of basic two pole machineT1:1.1,1.2,

2Commutator machinesDC- compound, shunt machines. AC-1phase series motor, 3phase synchronous and induction machineT1:1.3.1 to 1.3.8

3EMF in ArmatueTransformer and spee votages in the armature, Krons Primitive MachineT1:1.5,1.6,1.7

4Voltage Equations Leakage flux, Voltage equations inn Matrix formT:1.7.1,1.7.2

5Torque and powerTorque equations and power equationsT1:1.7.2

6Mathematical model of separately excited dc motorTorque speed equation, Steady state analysis and transient analysisT:3.2

7Problem partT1:3.4, 3.5

8Analysis of Separately excited dc motorSudden application of Inertia loadT1:3.2.1

9Transfer functionSeparately excited motor transfer functionT1:3.4,3.4.2

10Problem partT1:3.7,3.8,3.9

11DC series motorMathematical model of dc series motorT1:3.5,3.10

12DC hunt motorMathematical model of dc hunt motorT:3.6,3.11,3.12

UNIT- II DYNAMIC MODELING OF 3-PHASE INDUCTION MACHINE

133-phase to 2-phase transformationPower invariance, Displaced brush-AxisT2:2.1,2.2

14Power invariance Power invariance, Problem partT2:2.1

15Transformation to obtain constant matricesTwo phase rotating to two phase stationayT2:2.4

16Physical significance parks transformationPhysical concepts of Parks transformation2.5

17Arbitrary reference modelGeneralized model of induction motor T2:5.7.5

Arbitrary reference modelElectromagnetic torqueT2:5.7.6

18Stator reference frame modelDerivation of stator reference frame modelT2:5.7.7,5.7.7.1

19Roto reference frame modelModeling of Induction motor with Rotor reference frameT2:5.7.7,5.7.7.2

20Synchronously rotating frame modelModeling of Induction motor with Synchroously rotating reference frameT2:5.7.7,5.7.7.3

21Analysis of Induction motorEquations in flux linkagesT2:5.7.8

22Per unit modelModeling equations in per-unit modelT2:5.7.9

23Dynamic simulationInduction machine dynamic simulation in arbitrary frameT2:5.8

UNIT III SMALL SIGNAL MODELING OF INDUCTION MACHINE

24Dynamic equationsDerivation of electrical equations of induction machineT2:5.9.1

25DQ flux linkage modelSpace phasor model principle-DQ flux linkage model derivationT2:5.11.1,5.11.2

26Control principle Control principle of induction machineT2:5.12

27Problem partT2:5.9

25Problem part

26Analysis of 2 phase induction machineAnalysis of symmetrical 2-phase induction machineT3:10.2

27Equations in machine variablesVoltage and torque equations in machine variablesT3:10.2

28Equations in stationary reference frameVoltage and torque equations in stationary reference frameT3:10.4

29Steady state operationAnalysis of steady state operation of unsymmetricalT3:10.5

30Single phase induction machineAnalysis of single phase induction machineT3:10.6

UNIT- IV MODELING OF SYNCHRONOUS MACHINE

31Synchronous machine inductancesVoltage equations in machine variablesT3:5.1,5.2

32Torque equationsTorque equations in machine variablesT3:5.3

33Rotor reference frame equationsVoltage equations in rotor reference-frame variables: Parks equationsT3:5.5

34Equations in flux linkagesTorque and current equations in flux linkagesT3:5.5

35Dynamic performanceDynamic performance during a 3-phase fault at machine terminalsT3:5.11

36Analysis of characteristicsComparison of approximate transient torque versus rotor angle characteristicsT3:5.12

37Performance during input torque changeEqual area criterion with input torque changeT3:5.15

7. Chamber consultation hour: Informed in the class in first week.8. Notices: All notices regarding the course will be put in departmental notice board

Signature of the Instructor(A.AppaRao)