Power Electronic System Design: Linking Differential Equations, Linear Algebra, and Implicit Functions

Front Matter
Copyright
Dedication
Contents
About the Author
Preface
1. Capacitor and inductor
	1.1 Capacitor equation in differential form
	1.2 Capacitor equation in integral form
	1.3 Inductor equation in differential form
	1.4 Inductor equation in integral form
	1.5 Definition of inductance and Faraday’s law
	1.6 Magnetic coupling and mutual inductance
	1.7 Transformer equation
	1.8 Nonideal capacitor,nonideal inductor,and equivalent circuit
	1.9 Transformer equivalent circuits
	1.10 Physical size of capacitor and inductor
	1.11 Specifications for capacitor and inductor
2 First-order circuits
	2.1 RC network with periodic drive source
	2.2 Sawtooth (triangle ramp) generator
	2.3 Full-wave rectifier with RC load
	2.4 Abrushless DC Motor with permanent magnets rotor
	2.5 A BLDC motor speed detector
	References
3 Current source
	3.1 Semiconductor diode equation
	3.2 Simple current source
	3.3 Bob Widlar current source
	3.4 Improved current source
	3.5 Source impedance
	3.6 555 timer
	3.7 Precision current loop
	3.8 Current-mode laser driver
	3.9 LED array driver
	3.10 JFET current source
	3.11 MOSFET current source
4 Second order
	4.1 Form
	4.2 Root
	4.3 Time domain
	4.4 Frequency domain
	4.5 Parallel and serial resonance
	4.6 Eigen value approach
	4.7 RC filters and Sallen–Key filters
	4.8 Power filters
	4.9 Oscillator
	4.10 Implicit function
5 Gain blocks
	5.1 Class-A direct-coupled bipolar transistor amplifiers
	5.2 Class-AB, B, C bipolar transistor amplifiers
	5.3 Transformer-coupled transistor amplifiers
	5.4 Class-D switch-mode power amplifiers
	5.5 Pulse width modulator
	5.6 Digital (clocked) window comparator
	5.7 Linear operational amplifiers
	5.8 Tuned amplifiers and implicit function
	5.9 Composite nonlinear operational amplifiers
	5.10 Unity-gain bandwidth of op-amp
	5.11 Large signal gain of op-amp
6 Feedback approaches
	6.1 Voltage feedback
	6.2 Current feedback
	6.3 PID feedback
	6.4 State feedback
	6.5 Feedback isolation
7 Control practices
	7.1 Level control
	7.2 Mode control
	7.3 Zone control
	7.4 Variable structures
	7.5 Sensor
	7.6 Open loop
	7.7 Close loop
	7.8 Loop contention
	7.9 Time control
	7.10 Sequential time control
8 Linear regulator
	8.1 Bipolar series voltage regulator
	8.2 MOSFET series voltage regulator
	8.3 Multiple implicit function approach
	8.4 Design procedure for loop stability
	8.5 Design procedure for error amplifiers
	8.6 Current-mode laser driver design procedure
	8.7 Shunt regulators
9 Switch-mode DC/DC converters
	9.1 Power filter, inductor, and capacitor
	9.2 Fundamental topologies
	9.3 Operational dynamics of basic buck topology
	9.4 Operational dynamics of basic boost topology
	9.5 Operational dynamics of basic flyback converter
	9.6 Cascaded converter — nonisolated
	9.7 Isolated converter — forward converter
	9.8 Isolated converter — half-bridge converter
	9.9 Isolated converter — push–pull converter
	9.10 Isolated converter — full-bridge converter
	9.11 Isolated converter — quasi-resonant converter
	9.12 Analog feedback
	9.13 Close loop—analog
	9.14 Close loop—digital
10 AC drives, rectification, and inductive loads
	10.1 Reexamine RC-loaded rectifier
	10.2 AC drive with unidirectional RL load
	10.3 Half-wave AC drive with nonpulsating current feeding RL load
	10.4 Full-wave AC drive with nonpulsating current feeding RL load
	10.5 Phase-controlled AC drive with  RL load
	10.6 Phase-controlled AC drive with free-wheel diode and RL load
	10.7 Phase-controlled full-wave AC drive with  RL load
	10.8 Three-phase circuits
11 Rotation, three-phase synthesis, and space vector concepts
	11.1 Magnetic field (flux)
	11.2 Synthesis of three-phase sources and inverters
	11.3 Vector concept
Appendix A Accelerated steady-state analysis for a parallel resonant network fed by nonsinusoidal, half-wave rectified current
Appendix B Matrix exponential
Appendix C Example 4.7 MATLAB m-file
Appendix D Example 8.1
Appendix E A general mass-spring-dashpot second-order system; first alternative
Appendix F A general mass-spring-dashpot second-order system; second alternative
Appendix G A general mass-spring-dashpot second-order system; third alternative
Appendix H Matrix exponential—Jordan form
Appendix I A step-by-step primer on digital power-supply design
	Digital tides
	Tumble to digital
	Roadmap to digital
	Navigate to digital filter
	Workout a forward converter example
	Implementation
	Conclusion
	References
Appendix J Motor winding driven by SCR phase-controlled sine source
Index
Front Matter
Front Matter
Copyright
Front Matter
Dedication
Contents
About the Author
Preface
Chapter 1 Capacitor and inductor
	1.1 Capacitor equation in differential form
	1.2 Capacitor equation in integral form
	1.3 Inductor equation in differential form
	1.4 Inductor equation in integral form
	1.5 Definition of inductance and Faraday's law
	1.6 Magnetic coupling and mutual inductance
	1.7 Transformer equation
	1.8 Nonideal capacitor, nonideal inductor, and equivalent circuit
	1.9 Transformer equivalent circuits
	1.10 Physical size of capacitor and inductor
	1.11 Specifications for capacitor and inductor
		1.11.1 Capacitor
		1.11.2 Inductor
		1.11.3 Inductor core material
		1.11.4 Inductor core Geometry
		1.11.5 Inductor winding
Chapter 2 First-order circuits
	2.1 RC network with periodic drive source
		2.1.1. Fourier analysis approach
		2.1.1 Continuity of states and boundary condition approach
	2.2 Sawtooth \(triangle ramp\) generator
	2.3 Full-wave rectifier with RC load
		2.3.1 Issues
		2.3.2 Solutions
		2.3.3 Graphical method
		2.3.4 Numerical method
	2.4 A brushless DC Motor with permanent magnets rotor
	2.5 A BLDC \(Brushless DC\) motor speed detector
	References
Chapter 3 Current source
	3.1 Semiconductor diode equation
	3.2 Simple current source
	3.3 Bob Widlar current source
	3.4 Improved current source
	3.5 Source impedance
	3.6 555 timer
	3.7 Precision current loop
	3.8 Current-mode laser driver
	3.9 LED array driver
	3.10 JFET current source
	3.11 MOSFET current source
Chapter 4 Second order
	4.1 Form
	4.2 Root
		4.2.1 Parametric change
	4.3 Time domain
	4.4 Frequency domain
	4.5 Parallel and serial resonance
		4.5.1 Steady-state AC analysis
		4.5.2 Inverse Laplace transform
		4.5.3 Approximation considering only the fundamental
		4.5.4 Steady-state Fourier analysis
		4.5.5 Accelerated steady-state analysis
		4.5.6 Approximation
		4.5.7 Fourier analysis
		4.5.8 Accelerated steady-state approach
	4.6 Eigen value approach
	4.7 RC filters and Sallen-Key filters
	4.8 Power filters
	4.9 Oscillator
	4.10 Implicit function
Chapter 5 Gain blocks
	5.1 Class-A direct-coupled bipolar transistor amplifiers
	5.2 Class-AB, B, C bipolar transistor amplifiers
	5.3 Transformer-coupled transistor amplifiers
	5.4 Class-D switch-mode power amplifiers
	5.5 Pulse width modulator
	5.6 Digital \(clocked\) window comparator
	5.7 Linear operational amplifiers
	5.8 Tuned amplifiers and implicit function
	5.9 Composite nonlinear operational amplifiers
	5.10 Unity-gain bandwidth of op-amp
	5.11 Large signal gain of op-amp
Chapter 6 Feedback approaches
	6.1 Voltage feedback
	6.2 Current feedback
		6.2.1 Low-side DC current feedback
		6.2.2 High-side DC current feedback
		6.2.3 Resistive AC current feedback
		6.2.4 Inductive AC current feedback
		6.2.5 Current summation
		6.2.6 Current subtraction
		6.2.7 Current steering
	6.3 PID feedback
		6.3.1 Proportional feedback
		6.3.2 Derivative feedback
		6.3.3 Integral feedback
	6.4 State feedback
	6.5 Feedback isolation
		6.5.1 Magnetic isolators
		6.5.2 Optical isolators
Chapter 7 Control practices
	7.1 Level control
		7.1.1 Single level
		7.1.2 Multilevel
	7.2 Mode control
	7.3 Zone control
	7.4 Variable structures
	7.5 Sensor
		7.5.1 Spatial sensors
		7.5.2 Energy sensors
		7.5.3 Sensors specification
	7.6 Open loop
	7.7 Close loop
		7.7.1 Loop gain/phase
		7.7.2 Loop gain margin, phase margin, and stability
	7.8 Loop contention
	7.9 Time control
		7.9.1 Duration control
		7.9.2 Instant control
		7.9.3 Shaping
		7.9.4 Preset
	7.10 Sequential time control
		7.10.1 Power ON/OFF sequence
		7.10.2 Sequential control
		7.10.3 Cycle suppressing
		7.10.4 Sequential burst
Chapter 8 Linear regulator
	8.1 Bipolar series voltage regulator
		8.1.1 DC analysis
		8.1.2 Small-signal AC analysis
	8.2 MOSFET series voltage regulator
		8.2.1 DC analysis
		8.2.2 Small-signal AC analysis
	8.3 Multiple implicit function approach
	8.4 Design procedure for loop stability
	8.5 Design procedure for error amplifiers
		8.5.1 Type-II amplifier
		8.5.2 Type-III amplifier
	8.6 Current-mode laser driver design procedure
	8.7 Shunt regulators
Chapter 9 Switch-mode DC/DC converters
	9.1 Power filter, inductor, and capacitor
		9.1.1 Laplace transform approach
		9.1.2 State transition approach
		9.1.3 Inductor current
		9.1.4 Capacitor size
		9.1.5 Inductor size
	9.2 Fundamental topologies
		9.2.1 Buck converter
		9.2.2 Boost converter
		9.2.3 Buck/boost converter
		9.2.4 Electromagnetic function
		9.2.5 Core utilization
	9.3 Operational dynamics of basic buck topology
	9.4 Operational dynamics of basic boost topology
	9.5 Operational dynamics of basic flyback converter
	9.6 Cascaded converter-nonisolated
		9.6.1 SEPIC \(single-ended primary inductor converter\)
		9.6.2 Ćuk converter
	9.7 Isolated converter-forward converter
		9.7.1 One switch
		9.7.2 Two switch
		9.7.3 Synchronous rectification
	9.8 Isolated converter-half-bridge converter
	9.9 Isolated converter-push-pull converter
	9.10 Isolated converter-full-bridge converter
	9.11 Isolated converter-quasi-resonant converter
	9.12 Analog feedback
		9.12.1 Voltage mode
		9.12.2 Pulse width modulation-edge modulation
		9.12.3 SG1524
		9.12.4 Frequency modulation
		9.12.5 Ripple regulator
		9.12.6 Peak current mode
		9.12.7 Switches and driver
	9.13 Close loop-analog
		9.13.1 Voltage-mode loop
		9.13.2 Current-mode loop
		9.13.3 Loop gain/phase/bandwidth
		9.13.4 Loop stability
	9.14 Close loop-digital
Chapter 10 AC drives, rectification, and inductive loads
	10.1 Reexamine RC-loaded rectifier
	10.2 AC drive with unidirectional RL load
	10.3 Half-wave AC drive with nonpulsating current feeding RL load
	10.4 Full-wave AC drive with nonpulsating current feeding RL load
	10.5 Phase-controlled AC drive with RL load
	10.6 Phase-controlled AC drive with free-wheel diode and RL load
	10.7 Phase-controlled full-wave AC drive with RL load
	10.8 Three-phase circuits
Chapter 11 Rotation, three-phase synthesis, and space vector concepts
	11.1 Magnetic field \(flux\)
	11.2 Synthesis of three-phase sources and inverters
		11.2.1 Voltage-fed single-switch inverter
		11.2.2 Voltage-fed two-switch inverter
		11.2.3 Voltage-fed half-bridge inverter
		11.2.4 Voltage-fed full-bridge inverter
		11.2.5 Voltage-fed three-phase inverter
	11.3 Vector concept
		11.3.1 Synthesis of other states
		11.3.2 Minimal synthesis
		11.3.3 Optimal synthesis
Appendix A Accelerated steady-state analysis for a parallel resonant network fed by nonsinusoidal, half-wave rectified current
Appendix J Motor winding driven by SCR phase-controlled sine source
Index
Appendix B Matrix exponential
Appendix C Example 4.7 MATLAB m-file
Appendix D Example 8.1
Appendix E A general mass-spring- dashpot second-order system; first alternative
Appendix F A general mass-spring- dashpot second-order system; second alternative
Appendix G A general mass-spring- dashpot second-order system; third alternative
Appendix H Matrix exponential-Jordan form
Appendix I A step-by-step primer on digital power-supply design
	Digital tides
	Tumble to digital
	Roadmap to digital
	Navigate to digital filter
	Work out a forward converter example
	Implementation
	Conclusion
	References