Phasors, Impedance, SPICE, and Circuit Analysis

Slides:

Advertisements

Similar presentations

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

Advertisements

ECE 201 Circuit Theory I1 Impedance and Reactance In general, Resistance Inductance Capacitance Z = Impedance.

AC i-V relationship for R, L, and C Resistive Load Source v S (t)  Asin  t V R and i R are in phase Phasor representation: v S (t) =Asin  t = Acos(

Topic 1: DC & AC Circuit Analyses

1 Sinusoidal Functions, Complex Numbers, and Phasors Discussion D14.2 Sections 4-2, 4-3 Appendix A.

R,L, and C Elements and the Impedance Concept

Alexander-Sadiku Fundamentals of Electric Circuits

1 Circuit Theory Chapter 10 Sinusoidal Steady-State Analysis Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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

Lesson 20 Series AC Circuits. Learning Objectives Compute the total impedance for a series AC circuit. Apply Ohm’s Law, Kirchhoff’s Voltage Law and the.

AC i-V relationship for R, L, and C Resistive Load Source v S (t)  Asin  t V R and i R are in phase Phasor representation: v S (t) =Asin  t = Acos(

Chapter 20 AC Network Theorems.

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

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

Review Part 3 of Course. Passive Circuit Elements i i i + -

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

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.

Circuits II EE221 Unit 2 Instructor: Kevin D. Donohue Review: Impedance Circuit Analysis with nodal, mesh, superposition, source transformation, equivalent.

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

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

AC Analysis Using Thevenin's Theorem and Superposition

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

1 Thevenin’s theorem, Norton’s theorem and Superposition theorem for AC Circuits 3/2/09.

Series/Parallel Combination Circuits

Circuit Theorems ELEC 202 Electric Circuit Analysis II.

Chapter 6(b) Sinusoidal Steady State Analysis

1 ECE 3144 Lecture 32 Dr. Rose Q. Hu Electrical and Computer Engineering Department Mississippi State University.

1 Circuit Theory Chapter 9B Sinusoidal Steady-State : Node Voltage, Mesh Current, Thevenin Copyright © The McGraw-Hill Companies, Inc. Permission required.

1 Chapter 10 Sinusoidal Steady-State Analysis 電路學 ( 二 )

Kevin D. Donohue, University of Kentucky1 AC Steady-State Analysis Sinusoidal Forcing Functions, Phasors, and Impedance.

CHAPTER 2: DC Circuit Analysis and AC Circuit Analysis Motivation Sinusoids’ features Phasors Phasor relationships for circuit elements Impedance and admittance.

1 Lecture #6 EGR 272 – Circuit Theory II Read: Chapter 9 and Appendix B in Electric Circuits, 6 th Edition by Nilsson Using Phasors to Add Sinusoids Sinusoidal.

1 Eeng 224 Chapter 10 Sinusoidal Steady State Analysis Huseyin Bilgekul Eeng224 Circuit Theory II Department of Electrical and Electronic Engineering Eastern.

Kevin D. Donohue, University of Kentucky1 Additional Analysis Techniques for Linear Circuits Models and Equivalent Circuits for Analysis and Design.

1. Using superposition, find the current I through the 10 resistor for the network CLASS ASSIGNMENT SUPERPOSITION THEOREM.

1 EENG224 Chapter 9 Complex Numbers and Phasors Huseyin Bilgekul EENG224 Circuit Theory II Department of Electrical and Electronic Engineering Eastern.

EE301 Phasors, Complex Numbers, And Impedance. Learning Objectives Define a phasor and use phasors to represent sinusoidal voltages and currents Determine.

Chapter 9 Sinusoidal Steady-State Analysis

(COMPLEX) ADMITTANCE.

Chapter 6(b) Sinusoidal Steady State Analysis

Alexander-Sadiku Fundamentals of Electric Circuits

Chapter 20 AC Network Theorems.

Chapter 7 Sinusoidal Steady-State Analysis

Registered Electrical & Mechanical Engineer

Lesson 16: Series AC Circuits

Ch4 Sinusoidal Steady State Analysis

Chapter 9 Complex Numbers and Phasors

Chapter 6 Sinusoids and Phasors

Circuits II EE221 Unit 9 Instructor: Kevin D. Donohue

Phasor Circuit Analysis

Week 11 Force Response of a Sinusoidal Input and Phasor Concept

ECE 3301 General Electrical Engineering

Sinusoidal Functions, Complex Numbers, and Phasors

ECE 3301 General Electrical Engineering

Alexander-Sadiku Fundamentals of Electric Circuits

SOURCE TRANSFORMATIONS TECHNIQUE

Chapter 10 – AC Circuits Recall: Element Impedances and Admittances

Chapter 10 – AC Circuits Recall: Element Impedances and Admittances

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.

Voltage Divider and Current Divider Rules

Chapter 10 Sinusoidal Steady-State Analysis

Fundamentals of Electric Circuits Chapter 10

Announcement Next class: 10 min Quiz Material: Book Chapter 10

Annex G.7. A Past Year Exam Paper

3/16/2015 Hafiz Zaheer Hussain.

Circuits in the Frequency Domain

UNIT-1 Introduction to Electrical Circuits

Chapter 9 – Sinusoids and Phasors

AC Analysis Using Thevenin's Theorem and Superposition

INC 111 Basic Circuit Analysis

Presentation transcript:

Phasors, Impedance, SPICE, and Circuit Analysis Phasor Analysis Phasors, Impedance, SPICE, and Circuit Analysis Kevin D. Donohue, University of Kentucky

Kevin D. Donohue, University of Kentucky Impedance The conversion of resistive, inductive, and capacitive elements to impedance for a sinusoidal excitation at frequency  is given by: In general impedance is a complex quantity with a resistive component (real) and a reactive component (imaginary): Kevin D. Donohue, University of Kentucky

Kevin D. Donohue, University of Kentucky Phasors Sources can be converted to phasor notation as follows: This can be applied to all sources of the same frequency, where  is used in the impedance conversion of the circuit. If sources of different frequencies exist, superposition must applied to solve for a given voltage or current: 1. Select sources with a common  and deactive all other sources. 2. Convert circuit elements to impedances. 3. Solve for desired voltage or current for selected . 4. Repeat steps 1 through 3 for new  until all sources have been applied. 5. Add together all time-domain solutions solutions obtain in Step 3. Kevin D. Donohue, University of Kentucky

Kevin D. Donohue, University of Kentucky Loop Analysis Example Determine the steady-state response for vc(t) when vs(t) = 5cos(800t) V 114.86 nF 6 kW 3 kW vs(t) + vc(t) - Show: Kevin D. Donohue, University of Kentucky

Nodal Analysis Example Find the steady-state value of vo(t) in the circuit below, if vs(t) = 20cos(4t): 10  1 H ix + vo - 0.1 F vs 2 ix 0.5 H Show: v0(t) = 13.91cos(4t + 198.3º) Kevin D. Donohue, University of Kentucky

Multiple Source Example Find io if is = 3cos(10t) and vs = 6cos(20t + 60º) io 5  vs 0.01 F 0.5 H is Show io = 0.54cos(20t+123.4º)+2.7cos(10t-153.4º) Kevin D. Donohue, University of Kentucky

Equivalent Circuit Example Find io steady-state using Norton’s Theorem, if vs(t) = 2sin(10t): 10  io vs 0.01 F 5  .4 H Show is(t)= .2sin(10t); Zth = 3-j = 3.2-18.4º; io = 0.15cos(10t-153.4 º) Kevin D. Donohue, University of Kentucky

Equivalent Circuit Example Find vo steady-state using Thévenin’s Theorem, if vs(t) = 20cos(4t): 10  1 H ix + vo - 0.1 F vs 2 ix 0.5 H Kevin D. Donohue, University of Kentucky