Circuit Analysis 2 - AC Circuits

Sinusoidal Steady-State Analysis

·          Sinusoids and Phasors                    

·          Euler's Formula and Complex Forcing Function                         

·          Sinusoids and Phasor Representation                         

·          Particular Solutions to Linear Differential Equations                  

·          Phasor Technique                             

·          Addition of Sinusoids, KCL and KVL                              

·          Differentiation of Sinusoids and Concept of Impedance                           

·          Equivalent Circuits

 

AC Power Circuit Analysis

·          Nodal Analysis                    

·          Loop Analysis                     

·          Thevenin's Theorem                          

·          Norton's Theorem                              

·          Power Calculation                              

·          Average Power Consumption by a Resistor, Inductor or a Capacitor

·          Complex Power                  

·          Power Factor and Power Factor Correction  

 

THREE-PHASE CIRCUITS

·          Introduction

·          Balanced Three-phase Voltages

·          Balanced Wye-Wye Connection

·          Balanced Wye-Delta Connection

·          Balanced Delta-Delta Connection

·          Balanced Delta-Wye Connection

·          Power in a Balanced System

·          Unbalanced Three-phase Systems               

 

Polyphase Circuits

 

·          Three-Phase Sources, Circuits & Loads                      

·          Balanced Y-Loads                             

·          Balanced δ-Loads                             

·          Balanced Three-Phase Load Transformation                             

·          Three-Phase Power Calculation     

 

Two-Port Networks

·          Transformers                      

·          Ideal Transformer                              

·          Transformer Application                   

·          Two-Port Parameters                        

·          Impedance Parameters                    

·          Admittance Parameters                    

·          Hybrid Parameters                             

·          Inverse Hybrid Parameters                              

·          Transmission Parameters                               

·          Inverse Transmission Parameters                

·          Parameter Conversions and Applications    

 

Fourier Series

·          Trigonometric Fourier Series

·          Symmetry Considerations

·          Even Symmetry

·          Odd Symmetry

·          Half-wave Symmetry

·          Circuit Applications

·          Average Power and RMS Values

·          Exponential Fourier Series

·          Fourier Analysis with PSpice

·          Applications

·          Spectrum Analyzers

·          Filters

 

Fourier Transforms

·          Definition of Fourier Transform

·          Properties of Fourier Transform

·          Circuit Applications

·          Parseval's Theorem

·          Comparing the Fourier and Laplace Transforms

·          Amplitude Modulation

·          Sampling

 

Fourier Circuit Analysis

·          Fourier Analysis and Frequency Response                 

·          Periodic Signals                 

·          Fourier Series Representation                        

·          Steady-State Analysis with Fourier Series                    

·          Energy Signals and the Fourier Transform

 

Magnetically Coupled Circuits

·          Introduction

·          Mutual Inductance

·          Energy in a Coupled Circuit

·          Linear Transformers

·          Ideal Transformers

·          Ideal Autotransformers

·          Three-phase Transformers

·          Transformer as an Isolation Device

·          Transformer as a Matching Device

·          Power Distribution

 

Complex Frequency and the Laplace Transform

·          Definition & Properties of Laplace Transform

·          State-Variable Analysis                     

·          Linearity                

·          Frequency Shifting                             

·          Time Shifting                       

·          Inverse Laplace Transform through Partial Fraction Expansion                              

·          Distinctive & Repeated Poles                          

·          Theorems on Laplace Transform                   

·          Impulse and Transfer Function                       

·          Convolution Integral                           

·          Initial-Value and Final-Value Theorems                        

·          Solving the State Equations with Laplace Transform

 

Frequency Response

·          First-order Circuits                             

·          First-order Low-pass Filter                               

·          First-order High-pass Filter                              

·          Second-order Circuits                       

·          Series Resonant Circuit                   

·          Parallel Resonant Circuit                 

·          Complex Frequency and General Circuit Analysis