Название: Power Electronic System Design: Linking Differential Equations, Linear Algebra, and Implicit Functions
Автор: Keng C. Wu
Издательство: Elsevier Inc.
Год: 2021
Страниц: 400
Язык: английский
Формат: pdf (true)
Размер: 33.4 MB
Power Processing Circuits Design seamlessly infuses important mathematical models and approaches into the optimization of power processing circuits and linear systems. The work unites a constellation of challenging mathematical topics centered on differential equations, linear algebra and implicit functions, with multiple perspectives from electrical, mathematical and physical viewpoints, including power handling components, power filtering and power regulation. Power applications covered encompass first order RC and RL, second order RLC circuits with periodic drives, constant current source, close-loop feedback practices, control loop types, linear regulator, switch-mode regulator and rotation control.
The less-than-desirable state had existed, and is still present,in the form that many degree-holding engineers including electrical, electronic, mechanical, and other specialties are falling short in applying mathematical tools they were taught in college. Given electrical schematic drawings, they were unable to formulate and express systems’ dynamics in state variables and state transition using the first-order differential equations and linear algebra technique. As a result, they were unable to boost their productivity using software such as MATLAB. This book intends to bridge the gap—what is taught in college and how it is being applied in industry. In essence, this writing shall be considered didactic.
It begins with Chapter one giving capacitors and inductors, two indispensable energy storage components, an in-depth examination from the view point of the first-order derivative, its corresponding integral form, and its physical implications. Chapter two covers RC- and RL-type networks governed by a single differential equation. Key steps moving system differential equations to Laplace transform in a frequency domain and to a state-space transition form are introduced. Along the way, unconventional approaches deriving Fourier series, explaining orthogonal property, or treating boundary value problems are also explored. Chapter three covers current sourcing circuits including current mirror, the workhorse of analog integrated circuits, and precision current generator loops critical to instrumentation. Chapter four extends Chapter two to networks of second order governed by two first-order differential equations. Procedures transforming multiple differential equations to Laplace form, to state-transition form, and to state-transition solution are shown...
Автор: Keng C. Wu
Издательство: Elsevier Inc.
Год: 2021
Страниц: 400
Язык: английский
Формат: pdf (true)
Размер: 33.4 MB
Power Processing Circuits Design seamlessly infuses important mathematical models and approaches into the optimization of power processing circuits and linear systems. The work unites a constellation of challenging mathematical topics centered on differential equations, linear algebra and implicit functions, with multiple perspectives from electrical, mathematical and physical viewpoints, including power handling components, power filtering and power regulation. Power applications covered encompass first order RC and RL, second order RLC circuits with periodic drives, constant current source, close-loop feedback practices, control loop types, linear regulator, switch-mode regulator and rotation control.
The less-than-desirable state had existed, and is still present,in the form that many degree-holding engineers including electrical, electronic, mechanical, and other specialties are falling short in applying mathematical tools they were taught in college. Given electrical schematic drawings, they were unable to formulate and express systems’ dynamics in state variables and state transition using the first-order differential equations and linear algebra technique. As a result, they were unable to boost their productivity using software such as MATLAB. This book intends to bridge the gap—what is taught in college and how it is being applied in industry. In essence, this writing shall be considered didactic.
It begins with Chapter one giving capacitors and inductors, two indispensable energy storage components, an in-depth examination from the view point of the first-order derivative, its corresponding integral form, and its physical implications. Chapter two covers RC- and RL-type networks governed by a single differential equation. Key steps moving system differential equations to Laplace transform in a frequency domain and to a state-space transition form are introduced. Along the way, unconventional approaches deriving Fourier series, explaining orthogonal property, or treating boundary value problems are also explored. Chapter three covers current sourcing circuits including current mirror, the workhorse of analog integrated circuits, and precision current generator loops critical to instrumentation. Chapter four extends Chapter two to networks of second order governed by two first-order differential equations. Procedures transforming multiple differential equations to Laplace form, to state-transition form, and to state-transition solution are shown...
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