Название: Fundamentals of Modern Electric Circuit Analysis and Filter Synthesis (2nd Edition)
Автор: Afshin Izadian
Издательство: Springer
Год: 2023
Страниц: 689
Язык: английский
Формат: pdf (true)
Размер: 19.6 MB

This textbook explains the fundamentals of electric circuits and uses the transfer function as a tool to analyze circuits, systems, and filters. The author avoids the Fourier transform, since this topic is often not taught in circuits courses. General transfer functions for low pass, high pass, band pass and band reject filters are demonstrated, with first order and higher order filters explained in plain language. The author’s presentation is designed to be accessible to a broad audience, with the concepts of circuit analysis explained in basic language, reinforced by numerous, solved examples.

The book can cover two semesters of electric circuits:

Chapter 1 covers electric circuits’ basics by introducing some measurement units and their conversions. Circuit elements and their schematics are introduced, and several examples of electric circuits are provided. Students familiarize themselves with the units used in the book and understand the importance and application of electric circuits.

Chapter 2 covers the circuit elements, OHM’s law, and the voltage-current relations in each electric circuit element. Resistors, inductors, and capacitors can be connected in various ways. Series, parallel, delta, and star and their equivalent models are covered for each circuit element. However, analysis of RL, RC, and RLC is introduced in Chapters 4 and 5. Several switching elements are introduced with their detailed operations. Mechanical and electrical switches and their applications are discussed. Dependent and independent sources are introduced. Linear time-invariant circuits and superposition are introduced through several examples.

Chapter 3 covers fundamental waveforms, their analysis, and mathematical expressions. Sinusoidal waveform, phasor, and rectangular-polar coordinations are introduced. The application of phasors in circuit analysis is introduced in Chapter 5.

Chapter 4 covers the concept of the order of a circuit. The first-order circuits and second-order circuits are introduced as an introduction to time-based circuit analysis. Several examples are introduced to help students classify the circuits and predict their behavior. Natural response and forced response are discussed. Students also learn to obtain the circuit parameters by analyzing the time-based responses.

Chapter 5 covers the basics of sinusoidal AC circuit analysis in LTI. This starts with a coverage of complex math calculations. The foundations of phase shift, lead, and lag circuits are discussed. The idea of reactance is introduced, and several circuits are analyzed. Accordingly, the power factor and resonance are introduced through several examples. The power calculations in AC circuits are introduced and covered in-depth. This section also includes the Thevenin-Norton equivalent for AC circuits. The maximum power transfer for the AC circuits is also introduced.

Chapter 6 covers the fundamentals of mutual inductance and their equivalent circuits. The concept of induced voltage through mutual inductance is introduced. Accordingly, transformers are introduced, and their power, voltage, and current are analyzed.

Chapter 7 covers the fundamentals of the Laplace transformation and its application in circuit analysis. Basic mathematical analysis of the Laplace transformations and operations are also introduced for signals and waveforms. They are identified as the input and output of the circuits to prepare for the transfer function analysis. The frequency domain analysis of simple circuits with various inputs is introduced.

Chapter 8 covers the transfer functions, their definition, various forms of system combination, and feedback systems. The transfer function is obtained for single-loop systems and systems with multiple inputs and multiple outputs. The initial and final value theorems are introduced, and the systems’ steady-state responses are analyzed accordingly. First-order system transfer functions second order systems are analyzed in the frequency domain. The frequency response of the systems is analyzed, and their Bode diagrams are obtained. This chapter also covers the state space representation of the systems.

Chapter 9 covers the design and analysis of passive filters. Various filters are introduced and designed in the form of hardware (circuits) and software (computer code). Filter transfer functions are analyzed, and their basic operations are improved to design better filters. A free-style software design that matches the filter circuit transfer functions is introduced. RLC resonant circuit is used for this purpose to form filters. Butterworth filters are designed to improve their operation. Higher-order filters are also designed to obtain the desired performance.

Chapter 10 covers the principles of operational amplifiers. Several design principles are covered, and simple circuits are introduced to help students understand the approach to analyzing the Opamp circuits. Opamps are also utilized to solve differential equations. This chapter introduces the design of analog computers and PID controllers.

Chapter 11 covers the active filters in various forms. Simple circuits are designed with the approach to control the feedback impedance or the input impedance. Filter hardware is analyzed, and the transfer functions are obtained. Non-resonant-based filters are introduced, and their circuits are analyzed. Multi FeedBack (MFB) circuits are introduced, and methods to obtain various filters are discussed.

Chapter 12 covers two-port networks. Several representation methods in impedance, admittance, and transmission matrices are introduced. These matrices are often obtained through several methods explained in numerous examples.