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Complex Analysis for Engineers (E-book)
EE 202 (Summer 2004)
Department of Electrical Engin.
Metu, Ankara Turkey.
Instructor : Dr. Cagatay Candan
Outline:
EE 202 is the second course on circuit analysis. Prerequites for
the course are
passing grades from differential equation, linear algebra and EE
201 courses. You are expected
to be familiar with the differential equations solution methods.
A quick review for
the constant coefficient differential equations is done in the first
few weeks.
Topics:
1. Systematic Methods for the Analysis of Dynamic Circuits
-
Review of graph theoretical concepts: tree, cut-sets, fundamental cut-sets
etc.
-
Node Analysis, Modified Node Analysis, State Equation Formulations
2. Response of Nth order Dynamic Circuit
-
Homogeneous Solution, Particular Solution
-
Zero-Input, Zero-State Solutions
-
Modes of the circuit (natural frequencies)
-
Methods for solving scalar Nth order const coef dif. equations
-
Methods for solving 1st order N dimensional matrix differential eqn
(state eqn.'s)
3. Sinosoidal Steady State Analysis
-
Solution of Nth order scalar differential eqn. with sinosoidal excitation
-
Alternative methods for solution with complex exponential input
-
Phasor domain analysis
-
Application of phasor domain for circuit analysis with node, mesh, superposition
methods.
-
AC power calculations, RMS discussions
-
Power factor, complex power
4. Balanced Three Phase Circuits
-
Definition of phase and line voltage, currents
-
Delta - Y connections, Delta - Y transformation
-
Three Phase Power Analysis
-
Power methods for the analysis of the transmission line problems
5. S Domain Analysis
-
Laplace Transform, its properties, important transform pairs etc.
-
Pole - Zero Diagrams
-
Inverse Laplace Transform, partial fraction Expansions
-
Circuit Analysis with Laplace Transforms
-
Network Functions
-
Impulse Response
-
Step Response
-
Two Ports, application of two ports
6. Frequency Domain Analysis
-
High pass, Low Pass, Band pass filters
-
Amplitude and Phase Response
-
Analysis of active and passive filters (RLC, opamp)
-
Bode Plots
-
Revisiting the state eqn. formalism
-
Non-linear circuit elements (time permits)
-
Oscillators (time permits)