7. AC ANALYSIS CIRCUITS by Ulaby & Maharbiz All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press All rights reserved.

Slides:

Advertisements

Similar presentations

CE ELECTRICAL PRINCIPLES STEADY STATE ANALYSIS OF SINGLE PHASE CIRCUITS UNDER SINUSOIDAL EXCITATION 1 Steady State response of Pure R,L and C &

Advertisements

Impedance and Admittance. Objective of Lecture Demonstrate how to apply Thévenin and Norton transformations to simplify circuits that contain one or more.

Chapter 12 RL Circuits.

Ch4 Sinusoidal Steady State Analysis 4.1 Characteristics of Sinusoidal 4.2 Phasors 4.3 Phasor Relationships for R, L and C 4.4 Impedance 4.5 Parallel and.

Fundamentals of Electric Circuits Chapter 10 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Phasors Complex numbers LCR Oscillator circuit: An example Transient and Steady States Lecture 18. System Response II 1.

Lect17EEE 2021 Phasor Relationships; Impedance Dr. Holbert April 2, 2008.

3. ANALYSIS TECHNIQUES CIRCUITS by Ulaby & Maharbiz All rights reserved. Do not reproduce or distribute. © 2013 National Technology and Science Press.

Lesson 19 Impedance. Learning Objectives For purely resistive, inductive and capacitive elements define the voltage and current phase differences. Define.

Lecture 16 AC Circuit Analysis (1) Hung-yi Lee. Textbook Chapter 6.1.

6. Circuit Analysis by Laplace

Chapter 6(a) Sinusoidal Steady-State Analysis

Feb 23, 2007 EEE393 Basic Electrical Engineering K.A.Peker Signals and Systems Introduction EEE393 Basic Electrical Engineering.

Lecture 26 Review Steady state sinusoidal response Phasor representation of sinusoids Phasor diagrams Phasor representation of circuit elements Related.

8. AC POWER CIRCUITS by Ulaby & Maharbiz. Overview.

ELECTRIC CIRCUIT ANALYSIS - I

Lecture 27 Review Phasor voltage-current relations for circuit elements Impedance and admittance Steady-state sinusoidal analysis Examples Related educational.

Chapter 10 Sinusoidal Steady-State Analysis

ES250: Electrical Science

A sinusoidal current source (independent or dependent) produces a current That varies sinusoidally with time.

Alternating Current Circuits

CH3 Half-wave rectifiers (The basics of analysis)

AC STEADY-STATE ANALYSIS SINUSOIDAL AND COMPLEX FORCING FUNCTIONS Behavior of circuits with sinusoidal independent sources and modeling of sinusoids in.

CIRCUITS by Ulaby & Maharbiz

Fall 2000EE201Phasors and Steady-State AC1 Phasors A concept of phasors, or rotating vectors, is used to find the AC steady-state response of linear circuits.

Chapter 9 Sinusoids and Phasor

The V  I Relationship for a Resistor Let the current through the resistor be a sinusoidal given as Is also sinusoidal with amplitude amplitudeAnd.

EMLAB 1 회로 이론 (2014). EMLAB 2 Review of circuit theory I 1.Linear system 2.Kirchhoff’s law 3.Nodal & loop analysis 4.Superposition 5.Thevenin’s and Norton’s.

1. WAVES & PHASORS Applied EM by Ulaby, Michielssen and Ravaioli 2-D Array of a Liquid Crystal Display.

5. RC and RL First-Order Circuits

1 ECE 3336 Introduction to Circuits & Electronics Note Set #10 Phasors Analysis Fall 2012, TUE&TH 4:00-5:30 pm Dr. Wanda Wosik.

Fundamentals of Electric Circuits Chapter 16 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

1 © Unitec New Zealand DE4401 AC R L C COMPONENTS.

INC 112 Basic Circuit Analysis Week 9 Force Response of a Sinusoidal Input and Phasor Concept.

Fundamentals of Electric Circuits Chapter 9

1 ELECTRICAL TECHNOLOGY ET 201  Define series impedances and analyze series AC circuits using circuit techniques.

Phasors A phasor is a complex number that represents the magnitude and phase of a sinusoid:

Sinusoids and Phasors Instructor: Chia-Ming Tsai

Unit 8 Phasors.

1 REVISION Things you should know Things you have learned in SEE1003 Things I EXPECT you to know ! 1 Knows how to write expressions for sinusoidal waveforms.

Fundamentals of Electric Circuits Chapter 10 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

8. AC POWER CIRCUITS by Ulaby & Maharbiz All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press.

CHAPTER I APPLICATION OF CIRCUIT LAWS. 2 Introduction Generally, we require 3 steps to analyze AC Circuit Transform the circuit to the phasor / frequency.

Lecture 17: Analysis with Sinusoidal Sources, Transformers Nilsson ENG17 : Circuits I Spring May 26, 2015.

SINUSOIDAL STEADY-STATE ANALYSIS – SINUSOIDAL AND PHASOR

Chapter 6(b) Sinusoidal Steady State Analysis

Filters By combining resistor, capacitor, inductor in special ways we can design circuits that are capable of passing certain frequency while rejecting.

Diode Rectifier Circuits Section 4.5. In this Lecture, we will:  Determine the operation and characteristics of diode rectifier circuits, which is the.

Chapter 1 Overview. Examples of EM Applications Dimensions and Units.

INC 111 Basic Circuit Analysis Week 11 Force Response of a Sinusoidal Input and Phasor Concept.

A sinusoidal current source (independent or dependent) produces a current That varies sinusoidally with time.

6. Unregulated Power Supply Design

Chapter 9 Sinusoids and Phasors

Sinusoid Phasor. Lemma 1: (Uniqueness) Proof: Lemma 2: (Linearity) Proof:

Chapter 9 Sinusoids and Phasors

Chapter 6(b) Sinusoidal Steady State Analysis

Dr. Cynthia Furse University of Utah

Chapter 6 Sinusoids and Phasors

AC STEADY-STATE ANALYSIS

EKT 242/3 & EKT 241/4 1. INTRODUCTION

Week 11 Force Response of a Sinusoidal Input and Phasor Concept

Sinusoidal Functions, Complex Numbers, and Phasors

Thévenin and Norton Transformation

Applied EM by Ulaby, Michielssen and Ravaioli

ECE 1270: Introduction to Electric Circuits

CIRCUITS by Ulaby & Maharbiz

2. 2 The V-I Relationship for a Resistor Let the current through the resistor be a sinusoidal given as Is also sinusoidal with amplitude amplitude.

CIRCUITS by Ulaby & Maharbiz

3/16/2015 Hafiz Zaheer Hussain.

INC 111 Basic Circuit Analysis

Presentation transcript:

7. AC ANALYSIS CIRCUITS by Ulaby & Maharbiz All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Overview All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Linear Circuits at ac Objective: To determine the steady state response of a linear circuit to ac signals  Sinusoidal input is common in electronic circuits  Any time-varying periodic signal can be represented by a series of sinusoids (Fourier Series)  Time-domain solution method can be cumbersome All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Sinusoidal Signals Useful relations All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phase Lead/Lag All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phasor Domain 1. The phasor-analysis technique transforms equations from the time domain to the phasor domain. 2. Integro-differential equations get converted into linear equations with no sinusoidal functions. 3. After solving for the desired variable--such as a particular voltage or current-- in the phasor domain, conversion back to the time domain provides the same solution that would have been obtained had the original integro-differential equations been solved entirely in the time domain. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phasor Domain Phasor counterpart of All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Time and Phasor Domain It is much easier to deal with exponentials in the phasor domain than sinusoidal relations in the time domain. You just need to track magnitude/phase, knowing that everything is at frequency  All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phasor Relation for Resistors Time DomainFrequency Domain Current through a resistor Time domain Phasor Domain All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phasor Relation for Inductors Time Domain Current through inductor in time domain Time domain Phasor Domain All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phasor Relation for Capacitors Time Domain Voltage across capacitor in time domain is Time domain Phasor Domain All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Summary of R, L, C All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

ac Phasor Analysis General Procedure Using this procedure, we can apply our techniques from dc analysis All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-4: RL Circuit Cont. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-4: RL Circuit cont. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Impedance and Admittance R = resistance = Re(Z) Impedance is voltage/current X = reactance = Im(Z) Resistor Inductor Capacitor G = conductance = Re(Y) Admittance is current/voltage B = susceptance = Im(Y) All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Impedance Transformation All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Voltage & Current Division All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Cont. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-5: Input Impedance (cont.) All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-8: Thévenin Circuit All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Linear Circuit Properties Thévenin/Norton and Source Transformation Also Valid All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phasor Diagrams All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Phase-Shift Circuits All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-10: Cascaded Phase Shifter Choose R such that output is ahead of input Solution leads to: All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Node 1Cont. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

(cont.) Cont. All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

(cont.) All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-13: Mesh Analysis by Inspection All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Power Supply Circuit All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Ideal Transformer All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Half-Wave Rectifier All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Full-Wave Rectifier Current flow during first half of cycle Current flow during second half of cycle All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Smoothing RC Filter All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Complete Power Supply All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-19: Multisim Measurement of Phase Shift All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Example 7-19 (cont.) Using Transient Analysis All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

Summary All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press