Fundamentals of modern electric circuit analysis and filter synthesis: a transfer function approach
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| Format: | Book |
| Language: | English |
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Cham
Springer
[2019]
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| Subjects: | |
| Online Access: | Inhaltstext http://www.springer.com/ Inhaltsverzeichnis |
| Physical Description: | XIV, 515 Seiten Illustrationen, Diagramme |
| ISBN: | 9783030024833 |
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| adam_text | Afshin Izadian
Fundamentals of Modem
Electric Circuit Analysis
and Filter Synthesis
A Transfer Function Approach
Ö Springer
Contents
1 Introduction to Electric Circuits 1
Introduction 1
Electric Circuit Topologies 1
Hinged Circuits 3
Measurement Units 3
Scales and Units 5
Most Common Electric Circuit Symbols 6
2 Component Voltage and Current Laws 9
Introduction 9
Definition of Voltage 9
Definition of Current 10
Resistor 10
Conductors, Insulators, and Semiconductors 12
Effect of Temperature on Resistance 12
Conductance 13
Series Connection of Circuit Elements 13
Parallel Connection of Circuit Elements 13
Mixed Connection of Circuit Elements 14
Mesh 14
Node 14
Ohm’s Law 15
Kirchhoff Voltage Law (KVL) 16
Kirchhoff Current Law (KCL) 18
Equivalent of Resistors in Series 21
Equivalent of Resistors in Parallel 22
Power and Energy in Resistors 24
Definition of a Short Circuit 25
vii
viii Contents
What Is an Inductor? 26
Energy and Power of an Inductor 28
Equivalent of Inductors in Series 29
Equivalent of Inductors in Parallel 29
What Is a Capacitor? 21
Ohm’s Law and Capacitors 31
Energy and Power of a Capacitor 32
Equivalent of Capacitors in Series 34
Equivalent of Capacitors in Parallel 35
Problems 36
3 Waveform and Source Analyses 43
Introduction 43
Waveform Analysis 43
Impulse Function f(t) = 6(t) 43
Unit Step Function f(l) = u(t) 44
Ramp Function f(t) = r(t) 47
Power Function/(/) = 4|u(t) 50
Exponential Function f(t) = Ae“‘ u(t) 52
Sinusoidal Function f(t) = A sin (tot + cp) 53
Polar to Cartesian (Rectangle) Conversion 54
Cartesian (Rectangle) to Polar Conversion 55
Mathematical Operation of Polar and Complex Numbers 57
Adding Complex Numbers 57
Product of Complex Numbers 57
Product of Polar Numbers 58
Division of Polar Numbers 58
Summation of Polar Numbers 58
Summation of Sinusoidal Functions 59
Damped Sinusoidal Function 61
Average of a Signal 63
Root Mean Square (RMS) 64
Sources 65
Independent Voltage Source 65
Independent Current Source 65
Dependent Sources 70
Circuit Simplification Techniques 73
Voltage Division 73
Current Division 74
Source Conversion 75
Thevenin Equivalent Circuit 75
Contents ix
Norton Equivalent Circuit 79
Norton and Thevenin Equivalent 80
Power Calculations 81
Consumption of Power 81
Generation of Power 82
Maximum Power Transfer to Load in Pure Resistive Circuits 83
Problems 84
4 Circuit Response Analysis 93
Introduction 93
Resistors 93
Inductors 94
Capacitors 96
Order of a Circuit 97
First-Order Circuits 98
Natural Response: RL Circuits 100
Natural Response: RC First-Order Circuit 104
Forced Response of First-Order Circuits 107
Step Response of RL Circuit 108
Forced Response of First-Order RC Circuit Ill
Second-Order Circuits 113
Natural Response of RLC Parallel Circuits 114
Summary of RLC Parallel Circuit 119
Natural Response of RLC Series Circuits 124
Summary of RLC Series Circuit 129
Problems 130
5 Steady-State Sinusoidal Circuit Analysis 135
Introduction 135
How to Use Phasor in Circuit Analysis 136
Circuit Response Stages 137
Resistors in Steady State 138
Power Factor of Resistive Circuits 139
Inductors in Steady State 140
Power Factor of Inductive Circuits 141
Capacitors in Steady-State Sinusoidal 141
Power Factor of Capacitive Circuits 142
Resistive-Inductive Circuits 142
Power Factor of Resistive-Inductive Circuits 144
Vector Analysis of RL Circuits 145
Resistive-Capacitive Circuits 146
Using Admittance 146
Using Impedance 147
Power Factor of Resistive-Capacitive Circuits 148
Vector Analysis of RC Circuits 148
Contents
Steady-State Analysis of Circuits
RLC Series
RLC Parallel
Resonance
Power in Sinusoidal Steady-State Operation
Apparent Power
Active Power
Reactive Power
Non-ideal Inductors
Quality Factor
Non-ideal Capacitors
Model as RC Series
Model as RC Parallel
Dielectric Heating
Thevenin Equivalent Circuits in Sinusoidal Steady State
Norton Equivalent and Source Conversion
Maximum Power Transfer
Problems
6 Mutual Inductance
Introduction
Self-Inductance and Mutual Inductance
Induced Voltage
Energy Stored in Coupled Circuits
Limit of Mutual Inductance
Turn Ratio
Equivalent Circuit of Mutual Inductance
T Equivalent Circuit
II Equivalent Circuit
Ideal Mutual Inductance
Ideal Transformer
Problems
7 Laplace Transform and Its Application in Circuits
Introduction
Mathematical Background
Laplace of Unit Step Function
Laplace of Impulse Function
Laplace of Ramp Function
Laplace of Exponential Function
Laplace of Sinusoidal Function
Laplace of Co-sinusoidal Function
Laplace of Hyperbolic Sinusoidal Function
Laplace of Hyperbolic Co-sinusoidal Function
Laplace of Derivatives of Impulse
Laplace of Differential Functions
153
153
156
162
165
165
167
168
169
170
173
174
175
177
178
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185
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211
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23C
23!
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Contents xi
Laplace Operations 237
Linear Combination of Functions 237
Shift in Time 238
Product by an Exponential 239
Product by Time Factors 240
Divide by Time Factors 241
Complementary Laplace Inverse Techniques 242
Long Division 242
Partial Fraction Expansion 242
Application of Laplace in Electric Circuits 246
Resistors in Frequency Domain 246
Inductors in Frequency Domain 246
Capacitors in Frequency Domain 247
Circuit Analysis Using Laplace Transform 249
Laplace Transform 258
8 Transfer Functions 265
Definition of Transfer Function 265
Multi-input-Multi-output Systems 267
Obtaining Transfer Function of Electric Circuits 267
Transfer Function Operations 271
Parallel Connection 273
Feedback Connection 273
Feedback and Change of Order of Circuit 275
Poles and Zeros 275
Phase Plane 276
Limit of Stability 277
Initial Value and Final Value Theorems 280
Order and Type of a System 282
First-Order Systems 282
Second-Order Systems 283
Step Response of Second-Order System 286
The Effect of Controller on Type-Zero Systems 290
Tracking Error Considering the Type and the Input as Reference
Waveform 292
Convolution Integral 293
State Space Analysis 301
Obtaining State Space Equations from Differential Equations 302
Obtaining Block Diagram of a State Space Equation 304
Obtaining State Space of Differential Equations that Involve
Differential of the Input Signals 306
Obtaining Transfer Function from State Space Representation 307
Bode Diagram 311
Transfer Function Amplitude and Phase 312
Bode Plot of A Transfer Function 313
Problems 333
xii Contents
9 Passive Fillers 341
Introduction 341
Passive and Active Filters 341
Category of Passive Filter Circuits 341
Filter Gains 344
Cutoff and Half-Power Point Frequencies 347
Low-Pass Filter 348
RL Low-Pass Filter 348
RC Low-Pass Filter 352
High-Pass Filter 357
RLHPF 357
RC High Pass Filter 361
Analysis of LC Circuits 364
Band-Pass Filters 367
BPF Circuit 1: Using LC Series 368
BPF Circuit 2: Using LC Parallel 372
Band-Reject Filters 375
BRF Circuit 1: LC Series 376
BRF Circuit 2: Using LC Parallel 380
Summary of Filters in Laplace 382
Higher-Order Filters 384
Repeated LPF 384
Repeated HPF 387
Repeated BPF 388
Repeated BRF 389
Problems 391
Low-Pass Filter 391
Low-Pass Filter Using Laplace 391
High-Pass Filter 392
High-Pass Filter Using Laplace 392
Series and Parallel LC circuits 393
Band-Pass Filters 393
Band-Pass Filters Using Laplace 394
Band-Reject Filters 395
Band-Pass Filters Using Laplace 395
Overall Filtration Process 397
Higher-Order Filter 397
Higher-Order Filter Using Laplace 398
10 Operational Amplifiers 399
Operational Amplifiers 399
Ideal Opamp 399
Slew Rate 401
Opamp in Circuits 402
Contents
xiii
Mathematical Operations 407
Adder 407
Subtraction 410
Integrator 411
Differentiator 413
Comparator 414
Pulse Width Modulation (PWM) 414
Unit Follower 415
Function Builder 416
Negative Immittance Converter 418
Negative Impedance 418
Negative Resistance 420
Negative Capacitance 420
Negative Inductance 421
Gyrator 422
Realization of a Gyrator in Circuits 427
Problems 428
11 Active Filters 433
Introduction 433
Active Low-Pass Filter 433
Active Low-Pass Filters Using Feedback Impedance 434
Active Low-Pass Filters Using Input Impedance 435
Active High-Pass Filters 436
Active High-Pass Filters Using Feedback Impedance 436
Active High-Pass Filters Using Input Impedance 437
Active Band-Pass Filters 437
Active Band-Pass Filter Using a Combination
of Low- and High-Pass Filters 439
Transfer Function of a Band-Pass Filter 440
Active Band-Reject Filters 440
Multiple Feedback Opamp Circuits (MFB) 442
Creating a Low-Pass Filter 443
Creating a High-Pass Filter 445
Creating a Band-Pass Filter 446
Problems 448
12 Two-Port Networks 451
Introduction 451
Impedance Matrix of a Two-Port Network 453
Equivalent of an Impedance Network 454
Reciprocal Networks 454
Nonreciprocal Networks 455
Alternative Approach in Impedance Matrix 458
Finding Impedance Matrix in Multi-loop Networks 461
Impedance Matrix Existence 466
xiv Contents
Admittance Matrix of a Two-Port Network 467
Equivalent of Admittance Network 469
Reciprocal Network 469
Nonreciprocal Network 469
Alternative Approach in Admittance Matrix 473
Finding Admittance Matrix in Multi-node Networks 476
Admittance to Impedance Conversion 480
Admittance Matrix Existence 480
Nonreciprocal Admittance Matrix 489
Hybrid Parameters 492
Inverse Hybrid Parameters 492
Transmission Matrix Parameters 493
Presenting the Transmission Matrix Parameters
in Terms of Impedance and Admittance Matrices 494
Parallel Connection of an Element 496
Series Connection of an Element 497
Transmission Matrix of Cascade Systems 498
Finding Thevenin Equivalent Circuit from Transmission Matrix 500
Problems 501
Bibliography 507
|
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| spelling | Izadian, Afshin Verfasser aut Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach Afshin Izadian Cham Springer [2019] XIV, 515 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Schaltung (DE-588)4052056-0 gnd rswk-swf Analyse (DE-588)4122795-5 gnd rswk-swf Active Filters Basic Circuit Theory Circuit analysis textbook Engineering Circuit Analysis Operational Amplifiers UYF Schaltung (DE-588)4052056-0 s Analyse (DE-588)4122795-5 s DE-604 Springer International Publishing (DE-588)1064344704 pbl Erscheint auch als Online-Ausgabe, eBook 978-3-030-02484-0 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=54ed954164824133a30a1ce8905c76ee&prov=M&dok_var=1&dok_ext=htm Inhaltstext X:MVB http://www.springer.com/ HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030851971&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Izadian, Afshin Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach Schaltung (DE-588)4052056-0 gnd Analyse (DE-588)4122795-5 gnd |
| subject_GND | (DE-588)4052056-0 (DE-588)4122795-5 |
| title | Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach |
| title_auth | Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach |
| title_exact_search | Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach |
| title_full | Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach Afshin Izadian |
| title_fullStr | Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach Afshin Izadian |
| title_full_unstemmed | Fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach Afshin Izadian |
| title_short | Fundamentals of modern electric circuit analysis and filter synthesis |
| title_sort | fundamentals of modern electric circuit analysis and filter synthesis a transfer function approach |
| title_sub | a transfer function approach |
| topic | Schaltung (DE-588)4052056-0 gnd Analyse (DE-588)4122795-5 gnd |
| topic_facet | Schaltung Analyse |
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