Ee 410 510 Electromechanical Systemselectromechanical Systems-PDF Free Download

EE 410 510 Electromechanical SystemsElectromechanical Systems
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EE 410 510 Electromechanical Systems, Chapter 1 Introduction to Electromechanical. Systems Torque Characteristics, 2 Analysis of Electromechanical 3 Phase induction motors. Systems Introduction to Quadrature and Direct Variables. Review of Electromagnetics Arbitrary Reference Frames. Review of Classical Mechanics Simulation of 2 and 3 Phase AC Induction Motors. using MATLAB and Simulink, Introduction to MATLAB and Simulink. 6 Synchronous Machines advanced, Chapter 3 Introduction to Power Electronics. Modeling and Application of Op Amps Power, Amplifiers and Power Converters Introduction.
Single and Three Phase Reluctance Motors, Chapter 4 DC Electric Machines and Motor. Two and Three Phase Permanent Magnet, Synchronous Motors and Stepper Motors. Geometry and Equations of Motion Governing, MATLAB and Simulink Simulations. DC Electric Motors, Modeling and Simulation of DC Electric Motors Chapter 7 Introduction to Control of. Permanent Magnet DC Generator Electromechanical Systems and PID Control. DC Electric Machines with Power Electronics Laws, Axial Topology of DC Electric Machines and Equations of Motion Governing the Dymamics of.
Magnetization Currents Electromechanical Systems, Analog PID Control laws and application involving. Chapter 5 Induction Machines some Permanent Magnet DC Motor. advanced topics, Digital PID Control Laws and application involving. Overview 2 Phase AC Induction Motors Servosystem with Permanent Magnet DC Motor. Equations of motion for 2 Phase AC Induction, EE 410 510 Electromechanical Systems. Assignments, Homework will be assigned throughout the semester and is due 7 days after. assignment Assignments will be graded and returned to account for 30 of the. final course grade, Two in class exams will be given during the semester Students will be allowed.
the use of a calculator during the exam All work will be performed. independently Each exam will account for 25 of the student s grade The final. exam will be comprehensive covering major topics presented throughout the. semester and will constitute 20 of the course grade. Final Grade, Homework Weekly 30, Exams 2 per S, Final Comprehensive 20. 5 21 2010 3, EE 410 510 Electromechanical Systems, Chapters 1 and 2. Ch t 11 IIntroduction, t d ti tto, Electromechanical Systems. Chapter 2 Analysis of Electromechanical, Systems and Devices. Introduction to analysis and modeling, Energy conversion and Force.
Production, Overview of electromagnetics, Overview of classical mechanics. Newtonian mechanics only, Applications of combined systems. Simulation of systems in the, MATLAB environment, 5 21 2010 4. All figures taken from primary textbook unless otherwise cited. Interdisciplinary Approach to, Electromechanical, h i lS Systems. Engineering, Kinetic Energy, Potential Energy, 5 21 2010 5.
Modern Electromechanical Devices, 5 21 2010 6, Interdisciplinary Approach to. Electromechanical, h i lS Systems, Engineering, 5 21 2010 7. Point Charge Distributions and, Coulomb s Law, The force F between two point charges Q1 and Q2 is. Along the line joining them, Directly proportional to the product between them. Inversely proportional to the square of the distance between them. Where k o 8 854 10 12 C 2 Nm 2, The equation above is easily calculated for a test charge Q1 at the.
origin and a source charge Q2 at a distance R away. The solution is slightly more complicated as we move our reference. frame away from the two charge such that Q1 is referenced by the. vector r1 and Q2 is referenced by the r2, 5 21 2010 8. Gauss Law The electric flux through any closed surface is equal to the. total charge enclosed by that surface thus Qenc, Integral Form D dS v dv Qenc. Applying the divergence theorem we have, D dS D dv v dv. yielding the differential form, This is the first of the 4 Maxwell Equations which clearly states that the. volume charge density is equal to the divergence of the electric flux density. Maxwell s D v B 0, Equations B D, 5 21 2010 In matter t t 9.
Gauss Law 2, Gauss law is simply an alternative statement of Coulomb s law. Gauss law provides an easy means of finding E or D for symmetrical charge. distributions, Applications Point Charge, dS ar r sin d d. Qenc Dar ar r sin d d, Dr sin d d D 4 r, 5 21 2010 4 r 2 r. Figure from M N O Sadiku Elements of Electromagnetics 4th ed Oxford University Press 2007. Electric Potential, We define the electric potential or the irrotational scalar field V describing any. electrostatic, l t t ti vector fi ld E, t field E as the.
th magnitudeit d off th, difference between, b t E att two. points a and b and some standard common reference point o. V p E dl negative, ega e by co, convention, V b V a E dl E dl E dl. Now the Gradient theorem states that Note the crucial role that independence. of path plays If E was dependent on, dV E dl path then the definition of V would be. nonsense because the path would alter, E cos E V the value of V p. 5 21 2010 11, The Dielectric Constant, It is important to note that up to this point we have not committed ourselves to the.
cause of the polarization P We dealt only with its effects We have stated that the. polarization of a dielectric ordinary results from an electric field which lines up the. atomic or molecular dipoles, In many substances experimental evidence shows that the polarization is proportional. to the electric field provided that E is not too strong These substances are said to. have a linear isotropic dielectric constant, This proportionality constant is called the electric susceptibility e The convention is. to t t the, th permittivity, itti it off ffree space from. th electric, l t i susceptibility, tibilit to, dimensionless Thus we have. From the previous slide, D o E P o 1 e E The dielectric constant or relative.
permittivity of the material r is the ratio, D o r E of the permittivity to that of free space. If the electric field is too strong then it begins to strip electrons completely from. molecules leading conduction effects This is called dielectric breakdown. The maximum strength of the electric that a dielectric can tolerate prior to which. breakdown occurs is called the dielectric strength. 5 21 2010 12, Using Gauss, Gauss Law With Dielectrics. Two flat conductive plates of Concentric Conducting Spheres with. area A filled with dielectric radius a, a b b a with a dielectric fill. Et E1 E2 s a z, E1 s a z o r, Dt Et o r Et r s a z V dl. E2 s a z dS Qenc, r D da DA Q a, D Qd Q 1 1, If capacitance C Q V then what is the value for each example.
5 21 2010 13, Figure from M N O Sadiku Elements of Electromagnetics 4th ed Oxford University Press 2007. Continuity Equation, Remembering that all charge is conserved the time rate of decrease of charge. within a given volume must be equal to the net outward flow through the surface. of the volume, Thus the current out of a closed surface is. I J dS enclosed v dv d, Applying Stokes Theorem, S J dS v Jdv v t dv. J v Continuity Equation, For steady state problems the derivative of charge with respect to time equals.
zero and thus gradient of current density at the surface is zero showing that. there can be no net accumulation of charge, 5 21 2010 14. Electrical Resistively, Consider a conductor whose ends are maintained at a potential difference i e the. l t i fifield, the conductor, d t iis nonzero and d a fifield. ld iis passed, the material, Note that there is no static equilibrium in this system The conductor is being fed. energy by the application of the electric field bias potential. As electrons move within the material to set up p induction fields theyy scatter and are. therefore damped This damping is quantified as the resistance R of the material. For this example assume, a uniform cross sectional area S and length l.
The direction of the electric field, E produced is the same as the direction of flow of positive. charges or the same as the current I, I E dS S l, 5 21 2010 15. Figure from M N O Sadiku Elements of Electromagnetics 4th ed Oxford University Press 2007. H D Chai Electromechanical Motion Devices Prentice Hall 1998 S J Chapman Electric Machinery Fundamentals 4th ed McGraw Hill 2005 S E Lyshevski Engineering and ScientificS E Lyshevski Engineering and Scientific Computations using MATLAB Wiley 2003Computations using MATLAB Wiley 2003

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