6th Semester Files
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\documentclass{article}
|
||||
|
||||
\title{Power Electronics Homework 1}
|
||||
\author{Aidan Sharpe}
|
||||
|
||||
\usepackage{circuitikz}
|
||||
\usepackage{amsmath}
|
||||
\usepackage{listings}
|
||||
|
||||
\begin{document}
|
||||
\maketitle
|
||||
\date{}
|
||||
|
||||
\section{Initial Circuit}
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [short] (1,0) to [empty diode, l=$D_1$] (3,0) to [open, v=$V_d$] (3,-2)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
$$V_s(t) = 110 \sqrt{2} \cos(2\pi f t)$$
|
||||
$$f = 60 \text{[Hz]}$$
|
||||
$$L_1 = 20 \text{[mH]}$$
|
||||
$$R_1 = 10 [\Omega]$$
|
||||
|
||||
\section{Diode is "On"}
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [closing switch] (3,0) to [open, v=$V_d$] (3,-2)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
$$V_d(t) = V_s(t) = V_L(t) + V_R(t)$$
|
||||
$$V_L(t) = L_1 {d \over dt}i_L(t)$$
|
||||
$$V_R(t) = R_1 i_L(t)$$
|
||||
$$110 \sqrt{2} \cos(120\pi t) = 10 i_L(t) + 0.02 {d\over dt}i_L(t)$$
|
||||
Apply Laplace Transform:
|
||||
$$10 I_L(s) + 0.02 s I_L(s) + i_L(0) = {110 \sqrt{2} s \over 14400 \pi^2 + s^2}$$
|
||||
Solve for $I_L(s)$:
|
||||
$$I_L(s) (10 + 0.02 s) = {110 \sqrt{2} s \over 14400 \pi^2 + s^2}$$
|
||||
$$I_L(s) = \frac{110\,\sqrt{2}\,s}{\left(\frac{s}{50}+10\right)\,\left(s^2+14400\,\pi ^2\right)}$$
|
||||
Apply Inverse Laplace Transform:
|
||||
$$i_L(t) = \frac{6875\,\sqrt{2}\,\cos\left(120\,\pi \,t\right)+1650\,\pi \,\sqrt{2}\,\sin\left(120\,\pi \,t\right)}{36\,\pi ^2+625}-\frac{6875\,\sqrt{2}\,{\mathrm{e}}^{-500\,t}}{36\,\pi ^2+625}$$
|
||||
$$V_R = \frac{10\,\left(6875\,\sqrt{2}\,\cos\left(120\,\pi \,t\right)+1650\,\pi \,\sqrt{2}\,\sin\left(120\,\pi \,t\right)\right)}{36\,\pi ^2+625}-\frac{68750\,\sqrt{2}\,{\mathrm{e}}^{-500\,t}}{36\,\pi ^2+625}$$
|
||||
|
||||
|
||||
\section{Diode Is "Off"}
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [opening switch] (3,0) to [open, v=$V_d$] (3,-2)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
\section{LTSpice}
|
||||
\begin{figure}[h]
|
||||
\includegraphics[width=\textwidth]{simulation.png}
|
||||
\end{figure}
|
||||
|
||||
\section{MATLAB}
|
||||
\begin{lstlisting}[language=MATLAB]
|
||||
syms s t
|
||||
R_1 = 10;
|
||||
L_1 = 0.02;
|
||||
v_s = 110*sqrt(2)*cos(120*pi*t);
|
||||
|
||||
V_s = laplace(v_s);
|
||||
I_L = V_s / (R_1 + s*L_1);
|
||||
i_L = ilaplace(I_L);
|
||||
|
||||
v_o = i_L * R_1
|
||||
\end{lstlisting}
|
||||
|
||||
\section{Large Inductor}
|
||||
As the inductor gets proportionally larger than the resistor, the amplitude of the output voltage decreases and the phase shift increases.
|
||||
\section{Large Resistor}
|
||||
As the resistor gets proportionally larger than the inductor, the amplitude of the output approaches the amplitude of the input and the phase shift goes to zero.
|
||||
|
||||
\end{document}
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Package: listings 2020/03/24 1.8d (Carsten Heinz)
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|
||||
\documentclass{article}
|
||||
|
||||
\title{Power Electronics Homework 1}
|
||||
\author{Aidan Sharpe}
|
||||
|
||||
\usepackage{circuitikz}
|
||||
\usepackage{amsmath}
|
||||
\usepackage{listings}
|
||||
|
||||
\begin{document}
|
||||
\maketitle
|
||||
\date{}
|
||||
|
||||
\section{Initial Circuit}
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [short] (1,0) to [empty diode, l=$D_1$] (3,0) to [open, v=$V_d$] (3,-2)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
$$V_s(t) = 110 \sqrt{2} \cos(2\pi f t)$$
|
||||
$$f = 60 \text{[Hz]}$$
|
||||
$$L_1 = 20 \text{[mH]}$$
|
||||
$$R_1 = 10 [\Omega]$$
|
||||
|
||||
\section{Diode is "On"}
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [closing switch] (3,0) to [open, v=$V_d$] (3,-2)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
$$V_d(t) = V_s(t) = V_L(t) + V_R(t)$$
|
||||
$$V_L(t) = L_1 {d \over dt}i_L(t)$$
|
||||
$$V_R(t) = R_1 i_L(t)$$
|
||||
$$110 \sqrt{2} \cos(120\pi t) = 10 i_L(t) + 0.02 {d\over dt}i_L(t)$$
|
||||
Apply Laplace Transform:
|
||||
$$10 I_L(s) + 0.02 s I_L(s) + i_L(0) = {110 \sqrt{2} s \over 14400 \pi^2 + s^2}$$
|
||||
Solve for $I_L(s)$:
|
||||
$$I_L(s) (10 + 0.02 s) = {110 \sqrt{2} s \over 14400 \pi^2 + s^2}$$
|
||||
$$I_L(s) = \frac{110\,\sqrt{2}\,s}{\left(\frac{s}{50}+10\right)\,\left(s^2+14400\,\pi ^2\right)}$$
|
||||
Apply Inverse Laplace Transform:
|
||||
$$i_L(t) = \frac{6875\,\sqrt{2}\,\cos\left(120\,\pi \,t\right)+1650\,\pi \,\sqrt{2}\,\sin\left(120\,\pi \,t\right)}{36\,\pi ^2+625}-\frac{6875\,\sqrt{2}\,{\mathrm{e}}^{-500\,t}}{36\,\pi ^2+625}$$
|
||||
$$V_R = \frac{10\,\left(6875\,\sqrt{2}\,\cos\left(120\,\pi \,t\right)+1650\,\pi \,\sqrt{2}\,\sin\left(120\,\pi \,t\right)\right)}{36\,\pi ^2+625}-\frac{68750\,\sqrt{2}\,{\mathrm{e}}^{-500\,t}}{36\,\pi ^2+625}$$
|
||||
|
||||
|
||||
\section{Diode Is "Off"}
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [opening switch] (3,0) to [open, v=$V_d$] (3,-2)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
\section{LTSpice}
|
||||
\begin{figure}[h]
|
||||
\includegraphics[width=\textwidth]{simulation.png}
|
||||
\end{figure}
|
||||
|
||||
\section{MATLAB}
|
||||
\begin{lstlisting}[language=MATLAB]
|
||||
syms s t
|
||||
R_1 = 10;
|
||||
L_1 = 0.02;
|
||||
v_s = 110*sqrt(2)*cos(120*pi*t);
|
||||
|
||||
V_s = laplace(v_s);
|
||||
I_L = V_s / (R_1 + s*L_1);
|
||||
i_L = ilaplace(I_L);
|
||||
|
||||
v_o = i_L * R_1
|
||||
\end{lstlisting}
|
||||
|
||||
\section{Large Inductor}
|
||||
As the inductor gets proportionally larger than the resistor, the amplitude of the output voltage decreases and the phase shift increases.
|
||||
\section{Large Resistor}
|
||||
As the resistor gets proportionally larger than the inductor, the amplitude of the output approaches the amplitude of the input and the phase shift goes to zero.
|
||||
|
||||
\end{document}
|
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6th-Semester-Spring-2024/Power-Electronics/Notes/letterfonts.tex
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|
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% Things Lie
|
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\newcommand{\kb}{\mathfrak b}
|
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\newcommand{\kg}{\mathfrak g}
|
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|
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\newcommand{\kn}{\mathfrak n}
|
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|
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|
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|
||||
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|
||||
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|
||||
|
||||
% More script letters etc.
|
||||
\newcommand{\SA}{\mathcal A}
|
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\newcommand{\SB}{\mathcal B}
|
||||
\newcommand{\SC}{\mathcal C}
|
||||
\newcommand{\SF}{\mathcal F}
|
||||
\newcommand{\SG}{\mathcal G}
|
||||
\newcommand{\SH}{\mathcal H}
|
||||
\newcommand{\OO}{\mathcal O}
|
||||
|
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\newcommand{\SCA}{\mathscr A}
|
||||
\newcommand{\SCB}{\mathscr B}
|
||||
\newcommand{\SCC}{\mathscr C}
|
||||
\newcommand{\SCD}{\mathscr D}
|
||||
\newcommand{\SCE}{\mathscr E}
|
||||
\newcommand{\SCF}{\mathscr F}
|
||||
\newcommand{\SCG}{\mathscr G}
|
||||
\newcommand{\SCH}{\mathscr H}
|
||||
|
||||
% Mathfrak primes
|
||||
\newcommand{\km}{\mathfrak m}
|
||||
\newcommand{\kp}{\mathfrak p}
|
||||
\newcommand{\kq}{\mathfrak q}
|
||||
|
||||
% number sets
|
||||
\newcommand{\RR}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{R}}{\mathbb{R}^{#1}}}}
|
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\newcommand{\NN}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{N}}{\mathbb{N}^{#1}}}}
|
||||
\newcommand{\ZZ}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{Z}}{\mathbb{Z}^{#1}}}}
|
||||
\newcommand{\QQ}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{Q}}{\mathbb{Q}^{#1}}}}
|
||||
\newcommand{\CC}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{C}}{\mathbb{C}^{#1}}}}
|
||||
\newcommand{\PP}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{P}}{\mathbb{P}^{#1}}}}
|
||||
\newcommand{\HH}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{H}}{\mathbb{H}^{#1}}}}
|
||||
\newcommand{\FF}[1][]{\ensuremath{\ifstrempty{#1}{\mathbb{F}}{\mathbb{F}^{#1}}}}
|
||||
% expected value
|
||||
\newcommand{\EE}{\ensuremath{\mathbb{E}}}
|
||||
\newcommand{\charin}{\text{ char }}
|
||||
\DeclareMathOperator{\sign}{sign}
|
||||
\DeclareMathOperator{\Aut}{Aut}
|
||||
\DeclareMathOperator{\Inn}{Inn}
|
||||
\DeclareMathOperator{\Syl}{Syl}
|
||||
\DeclareMathOperator{\Gal}{Gal}
|
||||
\DeclareMathOperator{\GL}{GL} % General linear group
|
||||
\DeclareMathOperator{\SL}{SL} % Special linear group
|
||||
|
||||
%---------------------------------------
|
||||
% BlackBoard Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\bbA}{\mathbb{A}} \newcommand{\bbB}{\mathbb{B}}
|
||||
\newcommand{\bbC}{\mathbb{C}} \newcommand{\bbD}{\mathbb{D}}
|
||||
\newcommand{\bbE}{\mathbb{E}} \newcommand{\bbF}{\mathbb{F}}
|
||||
\newcommand{\bbG}{\mathbb{G}} \newcommand{\bbH}{\mathbb{H}}
|
||||
\newcommand{\bbI}{\mathbb{I}} \newcommand{\bbJ}{\mathbb{J}}
|
||||
\newcommand{\bbK}{\mathbb{K}} \newcommand{\bbL}{\mathbb{L}}
|
||||
\newcommand{\bbM}{\mathbb{M}} \newcommand{\bbN}{\mathbb{N}}
|
||||
\newcommand{\bbO}{\mathbb{O}} \newcommand{\bbP}{\mathbb{P}}
|
||||
\newcommand{\bbQ}{\mathbb{Q}} \newcommand{\bbR}{\mathbb{R}}
|
||||
\newcommand{\bbS}{\mathbb{S}} \newcommand{\bbT}{\mathbb{T}}
|
||||
\newcommand{\bbU}{\mathbb{U}} \newcommand{\bbV}{\mathbb{V}}
|
||||
\newcommand{\bbW}{\mathbb{W}} \newcommand{\bbX}{\mathbb{X}}
|
||||
\newcommand{\bbY}{\mathbb{Y}} \newcommand{\bbZ}{\mathbb{Z}}
|
||||
|
||||
%---------------------------------------
|
||||
% MathCal Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\mcA}{\mathcal{A}} \newcommand{\mcB}{\mathcal{B}}
|
||||
\newcommand{\mcC}{\mathcal{C}} \newcommand{\mcD}{\mathcal{D}}
|
||||
\newcommand{\mcE}{\mathcal{E}} \newcommand{\mcF}{\mathcal{F}}
|
||||
\newcommand{\mcG}{\mathcal{G}} \newcommand{\mcH}{\mathcal{H}}
|
||||
\newcommand{\mcI}{\mathcal{I}} \newcommand{\mcJ}{\mathcal{J}}
|
||||
\newcommand{\mcK}{\mathcal{K}} \newcommand{\mcL}{\mathcal{L}}
|
||||
\newcommand{\mcM}{\mathcal{M}} \newcommand{\mcN}{\mathcal{N}}
|
||||
\newcommand{\mcO}{\mathcal{O}} \newcommand{\mcP}{\mathcal{P}}
|
||||
\newcommand{\mcQ}{\mathcal{Q}} \newcommand{\mcR}{\mathcal{R}}
|
||||
\newcommand{\mcS}{\mathcal{S}} \newcommand{\mcT}{\mathcal{T}}
|
||||
\newcommand{\mcU}{\mathcal{U}} \newcommand{\mcV}{\mathcal{V}}
|
||||
\newcommand{\mcW}{\mathcal{W}} \newcommand{\mcX}{\mathcal{X}}
|
||||
\newcommand{\mcY}{\mathcal{Y}} \newcommand{\mcZ}{\mathcal{Z}}
|
||||
|
||||
|
||||
%---------------------------------------
|
||||
% Bold Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
||||
%Captital Letters
|
||||
\newcommand{\bmA}{\boldsymbol{A}} \newcommand{\bmB}{\boldsymbol{B}}
|
||||
\newcommand{\bmC}{\boldsymbol{C}} \newcommand{\bmD}{\boldsymbol{D}}
|
||||
\newcommand{\bmE}{\boldsymbol{E}} \newcommand{\bmF}{\boldsymbol{F}}
|
||||
\newcommand{\bmG}{\boldsymbol{G}} \newcommand{\bmH}{\boldsymbol{H}}
|
||||
\newcommand{\bmI}{\boldsymbol{I}} \newcommand{\bmJ}{\boldsymbol{J}}
|
||||
\newcommand{\bmK}{\boldsymbol{K}} \newcommand{\bmL}{\boldsymbol{L}}
|
||||
\newcommand{\bmM}{\boldsymbol{M}} \newcommand{\bmN}{\boldsymbol{N}}
|
||||
\newcommand{\bmO}{\boldsymbol{O}} \newcommand{\bmP}{\boldsymbol{P}}
|
||||
\newcommand{\bmQ}{\boldsymbol{Q}} \newcommand{\bmR}{\boldsymbol{R}}
|
||||
\newcommand{\bmS}{\boldsymbol{S}} \newcommand{\bmT}{\boldsymbol{T}}
|
||||
\newcommand{\bmU}{\boldsymbol{U}} \newcommand{\bmV}{\boldsymbol{V}}
|
||||
\newcommand{\bmW}{\boldsymbol{W}} \newcommand{\bmX}{\boldsymbol{X}}
|
||||
\newcommand{\bmY}{\boldsymbol{Y}} \newcommand{\bmZ}{\boldsymbol{Z}}
|
||||
%Small Letters
|
||||
\newcommand{\bma}{\boldsymbol{a}} \newcommand{\bmb}{\boldsymbol{b}}
|
||||
\newcommand{\bmc}{\boldsymbol{c}} \newcommand{\bmd}{\boldsymbol{d}}
|
||||
\newcommand{\bme}{\boldsymbol{e}} \newcommand{\bmf}{\boldsymbol{f}}
|
||||
\newcommand{\bmg}{\boldsymbol{g}} \newcommand{\bmh}{\boldsymbol{h}}
|
||||
\newcommand{\bmi}{\boldsymbol{i}} \newcommand{\bmj}{\boldsymbol{j}}
|
||||
\newcommand{\bmk}{\boldsymbol{k}} \newcommand{\bml}{\boldsymbol{l}}
|
||||
\newcommand{\bmm}{\boldsymbol{m}} \newcommand{\bmn}{\boldsymbol{n}}
|
||||
\newcommand{\bmo}{\boldsymbol{o}} \newcommand{\bmp}{\boldsymbol{p}}
|
||||
\newcommand{\bmq}{\boldsymbol{q}} \newcommand{\bmr}{\boldsymbol{r}}
|
||||
\newcommand{\bms}{\boldsymbol{s}} \newcommand{\bmt}{\boldsymbol{t}}
|
||||
\newcommand{\bmu}{\boldsymbol{u}} \newcommand{\bmv}{\boldsymbol{v}}
|
||||
\newcommand{\bmw}{\boldsymbol{w}} \newcommand{\bmx}{\boldsymbol{x}}
|
||||
\newcommand{\bmy}{\boldsymbol{y}} \newcommand{\bmz}{\boldsymbol{z}}
|
||||
|
||||
%---------------------------------------
|
||||
% Scr Math Fonts :-
|
||||
%---------------------------------------
|
||||
|
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||||
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||||
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|
||||
\newcommand{\sU}{{\mathscr{U}}} \newcommand{\sV}{{\mathscr{V}}}
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||||
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|
||||
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||||
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||||
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|
||||
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|
||||
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|
||||
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|
||||
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|
||||
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88
6th-Semester-Spring-2024/Power-Electronics/Notes/macros.tex
Normal file
88
6th-Semester-Spring-2024/Power-Electronics/Notes/macros.tex
Normal file
@ -0,0 +1,88 @@
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%From M275 "Topology" at SJSU
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% \begin{proof}[#1] \renewcommand{\qedsymbol}{$\blacksquare$}}%
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"power-electronics-notes.toc" 1708472464.32784 586 7d7a0ca12c125ac7fb48d7b3475d5f21 "pdflatex"
|
||||
"preamble.tex" 1706047396.13256 20069 50a0a2a4e1b2811a514a77f6b07b9f7f ""
|
||||
(generated)
|
||||
"power-electronics-notes.aux"
|
||||
"power-electronics-notes.log"
|
||||
"power-electronics-notes.pdf"
|
||||
"power-electronics-notes.toc"
|
||||
(rewritten before read)
|
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|
||||
\documentclass{report}
|
||||
|
||||
\input{preamble}
|
||||
\input{macros}
|
||||
\input{letterfonts}
|
||||
\usepackage{circuitikz}
|
||||
|
||||
\title{\Huge{Power Electronics}}
|
||||
\author{\huge{Aidan Sharpe}}
|
||||
\date{}
|
||||
|
||||
\begin{document}
|
||||
|
||||
\maketitle
|
||||
\newpage% or \cleardoublepage
|
||||
% \pdfbookmark[<level>]{<title>}{<dest>}
|
||||
\pdfbookmark[section]{\contentsname}{toc}
|
||||
\tableofcontents
|
||||
\pagebreak
|
||||
|
||||
\chapter{}
|
||||
\dfn{Power Electronics}
|
||||
{
|
||||
Any electronics between the power source and the load.
|
||||
}
|
||||
|
||||
\dfn{Diode}
|
||||
{
|
||||
A non-linear, polarized circuit component. Its positive terminal is called the anode, and its negative terminal is called the cathode. If the voltage at the anode is greater the voltage at the cathode, the diode will conduct. Otherwise, the diode behaves as an open circuit.
|
||||
}
|
||||
|
||||
An ideal diode, when conducting, will have no voltage drop, so it will behave like a direct short. An ideal diode, when not conducting, will allow no current to flow, so it will behave like an open circuit.
|
||||
|
||||
For any periodic signal, the average value is given by:
|
||||
$$V_\text{avg} = {1\over T} \int\limits_0^T x(\omega t) dt$$
|
||||
Where:
|
||||
\begin{itemize}
|
||||
\item[$\omega$] is the angular frequency of the signal, $x(\omega t)$
|
||||
\item[$T$] is the period of the signal, $x(\omega t)$
|
||||
\end{itemize}
|
||||
|
||||
Since a half-wave rectifier only allows current to flow for half of a period, the average voltage out is only a fraction of the input voltage.
|
||||
|
||||
\section{Half-Wave Recifier with Resistive Load and Inductive Filter}
|
||||
Since inductors act like a flywheel for current, when an inductor is placed in series with the half-wave rectifier, the voltage across the load and inductor is not always positive. Adding this inductor, however, allows current to flow through the load for more time during each period. With a properly selected inductance, positive current may be able to flow throught the load for the entire period.
|
||||
|
||||
\section{Freewheeling with Resistive Load and Inductive Filter}
|
||||
Simply by adding a second diode, the inductor will slowly dissipate into the resistor between the positive cycles. This slow dissipations is called \emph{freewheeling}. Increasing the size of the inductor will result in less ripple in the output voltage.
|
||||
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [short] (1,0) to [empty diode, l=$D_1$] (3,0) (3,-2) to [empty diode, l=$D_2$] (3,0)
|
||||
(3,0) to [short, american inductor, l=$L_1$, i=$i_L$] (6,0)
|
||||
to [short, american resistor, l_=$R_1$, v^=$V_R$] (6,-2)
|
||||
to [short] (0,-2)
|
||||
(0,0) to [vsourcesin, v_=$V_s$] (0,-2);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
\noindent
|
||||
For the first half-cycle ($0 < \omega t < \pi$):
|
||||
\\
|
||||
\noindent
|
||||
$D_1$ is on, $D_2$ is off, and $i_L = i_R$.
|
||||
$$V_s \sin(\omega t) = L {d i_L \over dt} + i_l R$$
|
||||
$$i_L(t) = {V_s \over Z}\sin(\omega t - \varphi) + Ae^{-Rt/L}$$
|
||||
For the second half-cyle ($\pi < \omega t < 2\pi$):
|
||||
$$V_L + V_R = 0$$
|
||||
$$L {d i_L \over dt} + i_L R = 0$$
|
||||
$$i_L(t) = Be^{-R(\omega t - \pi)/\omega L}$$
|
||||
Since $i_L(\pi)$ must be the same for both the first and the second half-cycles, the two equations must be equal at $t=\pi$.
|
||||
$$i_L(\pi)=B$$
|
||||
$$i_L(0^+)=A-{V_s \over Z^2} \omega L$$
|
||||
|
||||
\section{Full Bridge with Resistive Load and Inductive Filter}
|
||||
|
||||
\begin{center}
|
||||
\begin{circuitikz}[american voltages]
|
||||
\draw
|
||||
(0,0) to [short] (3,0) to [american inductor, l=$L_1$] (6,0)
|
||||
(0,-4) to [empty diode] (0,-2) to [empty diode] (0,0)
|
||||
(3,-4) to [empty diode] (3,-2) to [empty diode] (3,0)
|
||||
(0,-2) to [vsourcesin] (3,-2)
|
||||
(6,0) to [american resistor, l=$R_1$] (6,-4)
|
||||
(0,-4) to [short] (6,-4);
|
||||
\end{circuitikz}
|
||||
\end{center}
|
||||
|
||||
\section{Periodic Steady State}
|
||||
The periodic steady state is when a system returns to the same steady state at the end of each cycle.
|
||||
|
||||
\ex{Inductor PSS}
|
||||
{
|
||||
$$v_L = L {di_L \over dt}$$
|
||||
$$\langle v_L \rangle = {1 \over T} \int\limits_0^T v_L dt = {1 \over T} \int\limits_0^T L {di_L \over dt} dt$$
|
||||
$$\langle v_L \rangle = {L \over T} \lt[i_L(T) - i_L(0)\rt] = 0$$
|
||||
}
|
||||
|
||||
\ex{Capacitor PSS}
|
||||
{
|
||||
$$i_C = C {dv_C \over dt}$$
|
||||
$$\langle i_C \rangle = {1 \over T} \int\limits_0^T i_C dt = {1\over T} \int\limits_0^T C {dv_C \over dt} dt$$
|
||||
$$\langle i_C \rangle = {C \over T} \lt[v_C(T) - v_C(0)\rt] = 0$$
|
||||
}
|
||||
|
||||
\section{Trigonometric Fourier Series}
|
||||
For any periodic signal with period, $f(t) = f(t + nT), n \in \mathbb{Z}$, where $T$ is the period, a trigonometric series can be constructed to create an identical signal:
|
||||
$$f(t) = {a_0 \over 2} + \sum_{n=1}^\infty (a_n \cos(n\omega t) + b_b \sin(n \omega t))$$
|
||||
where $\omega = {2\pi \over T}$. The value of $a_0$ is twice the average value of the signal:
|
||||
$$a_0 = {2 \over T} \int\limits_{t_0}^{t_0 + T} f(t) dt.$$
|
||||
Additionally, the value of $a_n$ and $b_n$ are given by:
|
||||
$$a_n = {2 \over T} \int\limits_{t_0}{t_0 + T} f(t)\cos(n \omega t) dt$$
|
||||
$$b_n = {2\over T} \int\limits_{t_0}{t_0 + T} f(t)\sin(n \omega t) dt.$$
|
||||
The term, $a_0 \over 2$ is the \emph{DC offset} of the signal. While the values of $a_n$ and $b_n$ are defined, since the only difference between $\sin$ and $\cos$ is a phase shift, the expression for the trigonometric Fourier series can be rewritten as:
|
||||
$$f(t) = A_0 + \sum_{n=1}^\infty A_n \cos(n \omega t + \varphi_n)$$
|
||||
where $A_n = \sqrt{a_n^2 + b_n^2}$ and $\varphi_n = -\arctan\lt({b_n \over a_n}\rt)$
|
||||
|
||||
|
||||
\end{document}
|
@ -0,0 +1,7 @@
|
||||
\contentsline {chapter}{\numberline {1}}{2}{chapter.1}%
|
||||
\contentsline {section}{\numberline {1.1}Half-Wave Recifier with Resistive Load and Inductive Filter}{2}{section.1.1}%
|
||||
\contentsline {section}{\numberline {1.2}Freewheeling with Resistive Load and Inductive Filter}{2}{section.1.2}%
|
||||
\contentsline {section}{\numberline {1.3}Full Bridge with Resistive Load and Inductive Filter}{3}{section.1.3}%
|
||||
\contentsline {section}{\numberline {1.4}Periodic Steady State}{3}{section.1.4}%
|
||||
\contentsline {section}{\numberline {1.5}Trigonometric Fourier Series}{4}{section.1.5}%
|
||||
\contentsfinish
|
779
6th-Semester-Spring-2024/Power-Electronics/Notes/preamble.tex
Normal file
779
6th-Semester-Spring-2024/Power-Electronics/Notes/preamble.tex
Normal file
@ -0,0 +1,779 @@
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||||
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||||
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|
||||
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|
||||
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||||
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|
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|
||||
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|
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|
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|
||||
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|
||||
|
||||
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||||
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|
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|
||||
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|
||||
,separator sign none
|
||||
,segmentation style={solid, myg!85!black}
|
||||
}
|
||||
{th}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% Exercise
|
||||
%================================
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=section]{Exercise}{Exercise}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = myexercisebg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{myexercisefg},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = myexercisefg,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, myexercisefg},
|
||||
}
|
||||
{th}
|
||||
|
||||
\tcbuselibrary{theorems,skins,hooks}
|
||||
\newtcbtheorem[number within=chapter]{exercise}{Exercise}
|
||||
{%
|
||||
enhanced,
|
||||
breakable,
|
||||
colback = myexercisebg,
|
||||
frame hidden,
|
||||
boxrule = 0sp,
|
||||
borderline west = {2pt}{0pt}{myexercisefg},
|
||||
sharp corners,
|
||||
detach title,
|
||||
before upper = \tcbtitle\par\smallskip,
|
||||
coltitle = myexercisefg,
|
||||
fonttitle = \bfseries\sffamily,
|
||||
description font = \mdseries,
|
||||
separator sign none,
|
||||
segmentation style={solid, myexercisefg},
|
||||
}
|
||||
{th}
|
||||
|
||||
%================================
|
||||
% EXAMPLE BOX
|
||||
%================================
|
||||
|
||||
\newtcbtheorem[number within=section]{Example}{Example}
|
||||
{%
|
||||
colback = myexamplebg
|
||||
,breakable
|
||||
,colframe = myexamplefr
|
||||
,coltitle = myexampleti
|
||||
,boxrule = 1pt
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper=\tcbtitle\par\smallskip
|
||||
,fonttitle = \bfseries
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,description delimiters parenthesis
|
||||
}
|
||||
{ex}
|
||||
|
||||
\newtcbtheorem[number within=chapter]{example}{Example}
|
||||
{%
|
||||
colback = myexamplebg
|
||||
,breakable
|
||||
,colframe = myexamplefr
|
||||
,coltitle = myexampleti
|
||||
,boxrule = 1pt
|
||||
,sharp corners
|
||||
,detach title
|
||||
,before upper=\tcbtitle\par\smallskip
|
||||
,fonttitle = \bfseries
|
||||
,description font = \mdseries
|
||||
,separator sign none
|
||||
,description delimiters parenthesis
|
||||
}
|
||||
{ex}
|
||||
|
||||
%================================
|
||||
% DEFINITION BOX
|
||||
%================================
|
||||
|
||||
\newtcbtheorem[number within=section]{Definition}{Definition}{enhanced,
|
||||
before skip=2mm,after skip=2mm, colback=red!5,colframe=red!80!black,boxrule=0.5mm,
|
||||
attach boxed title to top left={xshift=1cm,yshift*=1mm-\tcboxedtitleheight}, varwidth boxed title*=-3cm,
|
||||
boxed title style={frame code={
|
||||
\path[fill=tcbcolback]
|
||||
([yshift=-1mm,xshift=-1mm]frame.north west)
|
||||
arc[start angle=0,end angle=180,radius=1mm]
|
||||
([yshift=-1mm,xshift=1mm]frame.north east)
|
||||
arc[start angle=180,end angle=0,radius=1mm];
|
||||
\path[left color=tcbcolback!60!black,right color=tcbcolback!60!black,
|
||||
middle color=tcbcolback!80!black]
|
||||
([xshift=-2mm]frame.north west) -- ([xshift=2mm]frame.north east)
|
||||
[rounded corners=1mm]-- ([xshift=1mm,yshift=-1mm]frame.north east)
|
||||
-- (frame.south east) -- (frame.south west)
|
||||
-- ([xshift=-1mm,yshift=-1mm]frame.north west)
|
||||
[sharp corners]-- cycle;
|
||||
},interior engine=empty,
|
||||
},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},#1}{def}
|
||||
\newtcbtheorem[number within=chapter]{definition}{Definition}{enhanced,
|
||||
before skip=2mm,after skip=2mm, colback=red!5,colframe=red!80!black,boxrule=0.5mm,
|
||||
attach boxed title to top left={xshift=1cm,yshift*=1mm-\tcboxedtitleheight}, varwidth boxed title*=-3cm,
|
||||
boxed title style={frame code={
|
||||
\path[fill=tcbcolback]
|
||||
([yshift=-1mm,xshift=-1mm]frame.north west)
|
||||
arc[start angle=0,end angle=180,radius=1mm]
|
||||
([yshift=-1mm,xshift=1mm]frame.north east)
|
||||
arc[start angle=180,end angle=0,radius=1mm];
|
||||
\path[left color=tcbcolback!60!black,right color=tcbcolback!60!black,
|
||||
middle color=tcbcolback!80!black]
|
||||
([xshift=-2mm]frame.north west) -- ([xshift=2mm]frame.north east)
|
||||
[rounded corners=1mm]-- ([xshift=1mm,yshift=-1mm]frame.north east)
|
||||
-- (frame.south east) -- (frame.south west)
|
||||
-- ([xshift=-1mm,yshift=-1mm]frame.north west)
|
||||
[sharp corners]-- cycle;
|
||||
},interior engine=empty,
|
||||
},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},#1}{def}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% Solution BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcbtheorem{question}{Question}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=myb!80!black,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
colback=tcbcolframe,
|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
\makeatother
|
||||
|
||||
%================================
|
||||
% SOLUTION BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcolorbox{solution}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=myg!80!black,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
title=Solution,
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
colback=tcbcolframe,
|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
}
|
||||
\makeatother
|
||||
|
||||
%================================
|
||||
% Question BOX
|
||||
%================================
|
||||
|
||||
\makeatletter
|
||||
\newtcbtheorem{qstion}{Question}{enhanced,
|
||||
breakable,
|
||||
colback=white,
|
||||
colframe=mygr,
|
||||
attach boxed title to top left={yshift*=-\tcboxedtitleheight},
|
||||
fonttitle=\bfseries,
|
||||
title={#2},
|
||||
boxed title size=title,
|
||||
boxed title style={%
|
||||
sharp corners,
|
||||
rounded corners=northwest,
|
||||
colback=tcbcolframe,
|
||||
boxrule=0pt,
|
||||
},
|
||||
underlay boxed title={%
|
||||
\path[fill=tcbcolframe] (title.south west)--(title.south east)
|
||||
to[out=0, in=180] ([xshift=5mm]title.east)--
|
||||
(title.center-|frame.east)
|
||||
[rounded corners=\kvtcb@arc] |-
|
||||
(frame.north) -| cycle;
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
\makeatother
|
||||
|
||||
\newtcbtheorem[number within=chapter]{wconc}{Wrong Concept}{
|
||||
breakable,
|
||||
enhanced,
|
||||
colback=white,
|
||||
colframe=myr,
|
||||
arc=0pt,
|
||||
outer arc=0pt,
|
||||
fonttitle=\bfseries\sffamily\large,
|
||||
colbacktitle=myr,
|
||||
attach boxed title to top left={},
|
||||
boxed title style={
|
||||
enhanced,
|
||||
skin=enhancedfirst jigsaw,
|
||||
arc=3pt,
|
||||
bottom=0pt,
|
||||
interior style={fill=myr}
|
||||
},
|
||||
#1
|
||||
}{def}
|
||||
|
||||
|
||||
|
||||
%================================
|
||||
% NOTE BOX
|
||||
%================================
|
||||
|
||||
\usetikzlibrary{arrows,calc,shadows.blur}
|
||||
\tcbuselibrary{skins}
|
||||
\newtcolorbox{note}[1][]{%
|
||||
enhanced jigsaw,
|
||||
colback=gray!20!white,%
|
||||
colframe=gray!80!black,
|
||||
size=small,
|
||||
boxrule=1pt,
|
||||
title=\textbf{Note:},
|
||||
halign title=flush center,
|
||||
coltitle=black,
|
||||
breakable,
|
||||
drop shadow=black!50!white,
|
||||
attach boxed title to top left={xshift=1cm,yshift=-\tcboxedtitleheight/2,yshifttext=-\tcboxedtitleheight/2},
|
||||
minipage boxed title=1.5cm,
|
||||
boxed title style={%
|
||||
colback=white,
|
||||
size=fbox,
|
||||
boxrule=1pt,
|
||||
boxsep=2pt,
|
||||
underlay={%
|
||||
\coordinate (dotA) at ($(interior.west) + (-0.5pt,0)$);
|
||||
\coordinate (dotB) at ($(interior.east) + (0.5pt,0)$);
|
||||
\begin{scope}
|
||||
\clip (interior.north west) rectangle ([xshift=3ex]interior.east);
|
||||
\filldraw [white, blur shadow={shadow opacity=60, shadow yshift=-.75ex}, rounded corners=2pt] (interior.north west) rectangle (interior.south east);
|
||||
\end{scope}
|
||||
\begin{scope}[gray!80!black]
|
||||
\fill (dotA) circle (2pt);
|
||||
\fill (dotB) circle (2pt);
|
||||
\end{scope}
|
||||
},
|
||||
},
|
||||
#1,
|
||||
}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% SELF MADE COMMANDS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
|
||||
\newcommand{\thm}[2]{\begin{Theorem}{#1}{}#2\end{Theorem}}
|
||||
\newcommand{\cor}[2]{\begin{Corollary}{#1}{}#2\end{Corollary}}
|
||||
\newcommand{\rvw}[2]{\begin{Review}{#1}{}#2\end{Review}}
|
||||
\newcommand{\mthd}[2]{\begin{Method}{#1}{}#2\end{Method}}
|
||||
\newcommand{\clm}[3]{\begin{claim}{#1}{#2}#3\end{claim}}
|
||||
\newcommand{\wc}[2]{\begin{wconc}{#1}{}\setlength{\parindent}{1cm}#2\end{wconc}}
|
||||
\newcommand{\thmcon}[1]{\begin{Theoremcon}{#1}\end{Theoremcon}}
|
||||
\newcommand{\ex}[2]{\begin{Example}{#1}{}#2\end{Example}}
|
||||
\newcommand{\dfn}[2]{\begin{Definition}[colbacktitle=red!75!black]{#1}{}#2\end{Definition}}
|
||||
\newcommand{\dfnc}[2]{\begin{definition}[colbacktitle=red!75!black]{#1}{}#2\end{definition}}
|
||||
\newcommand{\qs}[2]{\begin{question}{#1}{}#2\end{question}}
|
||||
\newcommand{\pf}[2]{\begin{myproof}[#1]#2\end{myproof}}
|
||||
\newcommand{\nt}[1]{\begin{note}#1\end{note}}
|
||||
|
||||
\newcommand*\circled[1]{\tikz[baseline=(char.base)]{
|
||||
\node[shape=circle,draw,inner sep=1pt] (char) {#1};}}
|
||||
\newcommand\getcurrentref[1]{%
|
||||
\ifnumequal{\value{#1}}{0}
|
||||
{??}
|
||||
{\the\value{#1}}%
|
||||
}
|
||||
\newcommand{\getCurrentSectionNumber}{\getcurrentref{section}}
|
||||
\newenvironment{myproof}[1][\proofname]{%
|
||||
\proof[\bfseries #1: ]%
|
||||
}{\endproof}
|
||||
|
||||
\newcommand{\mclm}[2]{\begin{myclaim}[#1]#2\end{myclaim}}
|
||||
\newenvironment{myclaim}[1][\claimname]{\proof[\bfseries #1: ]}{}
|
||||
|
||||
\newcounter{mylabelcounter}
|
||||
|
||||
\makeatletter
|
||||
\newcommand{\setword}[2]{%
|
||||
\phantomsection
|
||||
#1\def\@currentlabel{\unexpanded{#1}}\label{#2}%
|
||||
}
|
||||
\makeatother
|
||||
|
||||
|
||||
|
||||
|
||||
\tikzset{
|
||||
symbol/.style={
|
||||
draw=none,
|
||||
every to/.append style={
|
||||
edge node={node [sloped, allow upside down, auto=false]{$#1$}}}
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
% deliminators
|
||||
\DeclarePairedDelimiter{\abs}{\lvert}{\rvert}
|
||||
\DeclarePairedDelimiter{\norm}{\lVert}{\rVert}
|
||||
|
||||
\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
|
||||
\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
|
||||
\DeclarePairedDelimiter{\round}{\lfloor}{\rceil}
|
||||
|
||||
\newsavebox\diffdbox
|
||||
\newcommand{\slantedromand}{{\mathpalette\makesl{d}}}
|
||||
\newcommand{\makesl}[2]{%
|
||||
\begingroup
|
||||
\sbox{\diffdbox}{$\mathsurround=0pt#1\mathrm{#2}$}%
|
||||
\pdfsave
|
||||
\pdfsetmatrix{1 0 0.2 1}%
|
||||
\rlap{\usebox{\diffdbox}}%
|
||||
\pdfrestore
|
||||
\hskip\wd\diffdbox
|
||||
\endgroup
|
||||
}
|
||||
\newcommand{\dd}[1][]{\ensuremath{\mathop{}\!\ifstrempty{#1}{%
|
||||
\slantedromand\@ifnextchar^{\hspace{0.2ex}}{\hspace{0.1ex}}}%
|
||||
{\slantedromand\hspace{0.2ex}^{#1}}}}
|
||||
\ProvideDocumentCommand\dv{o m g}{%
|
||||
\ensuremath{%
|
||||
\IfValueTF{#3}{%
|
||||
\IfNoValueTF{#1}{%
|
||||
\frac{\dd #2}{\dd #3}%
|
||||
}{%
|
||||
\frac{\dd^{#1} #2}{\dd #3^{#1}}%
|
||||
}%
|
||||
}{%
|
||||
\IfNoValueTF{#1}{%
|
||||
\frac{\dd}{\dd #2}%
|
||||
}{%
|
||||
\frac{\dd^{#1}}{\dd #2^{#1}}%
|
||||
}%
|
||||
}%
|
||||
}%
|
||||
}
|
||||
\providecommand*{\pdv}[3][]{\frac{\partial^{#1}#2}{\partial#3^{#1}}}
|
||||
% - others
|
||||
\DeclareMathOperator{\Lap}{\mathcal{L}}
|
||||
\DeclareMathOperator{\Var}{Var} % varience
|
||||
\DeclareMathOperator{\Cov}{Cov} % covarience
|
||||
\DeclareMathOperator{\E}{E} % expected
|
||||
|
||||
% Since the amsthm package isn't loaded
|
||||
|
||||
% I prefer the slanted \leq
|
||||
\let\oldleq\leq % save them in case they're every wanted
|
||||
\let\oldgeq\geq
|
||||
\renewcommand{\leq}{\leqslant}
|
||||
\renewcommand{\geq}{\geqslant}
|
||||
|
||||
% % redefine matrix env to allow for alignment, use r as default
|
||||
% \renewcommand*\env@matrix[1][r]{\hskip -\arraycolsep
|
||||
% \let\@ifnextchar\new@ifnextchar
|
||||
% \array{*\c@MaxMatrixCols #1}}
|
||||
|
||||
|
||||
%\usepackage{framed}
|
||||
%\usepackage{titletoc}
|
||||
%\usepackage{etoolbox}
|
||||
%\usepackage{lmodern}
|
||||
|
||||
|
||||
%\patchcmd{\tableofcontents}{\contentsname}{\sffamily\contentsname}{}{}
|
||||
|
||||
%\renewenvironment{leftbar}
|
||||
%{\def\FrameCommand{\hspace{6em}%
|
||||
% {\color{myyellow}\vrule width 2pt depth 6pt}\hspace{1em}}%
|
||||
% \MakeFramed{\parshape 1 0cm \dimexpr\textwidth-6em\relax\FrameRestore}\vskip2pt%
|
||||
%}
|
||||
%{\endMakeFramed}
|
||||
|
||||
%\titlecontents{chapter}
|
||||
%[0em]{\vspace*{2\baselineskip}}
|
||||
%{\parbox{4.5em}{%
|
||||
% \hfill\Huge\sffamily\bfseries\color{myred}\thecontentspage}%
|
||||
% \vspace*{-2.3\baselineskip}\leftbar\textsc{\small\chaptername~\thecontentslabel}\\\sffamily}
|
||||
%{}{\endleftbar}
|
||||
%\titlecontents{section}
|
||||
%[8.4em]
|
||||
%{\sffamily\contentslabel{3em}}{}{}
|
||||
%{\hspace{0.5em}\nobreak\itshape\color{myred}\contentspage}
|
||||
%\titlecontents{subsection}
|
||||
%[8.4em]
|
||||
%{\sffamily\contentslabel{3em}}{}{}
|
||||
%{\hspace{0.5em}\nobreak\itshape\color{myred}\contentspage}
|
||||
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
% TABLE OF CONTENTS
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
|
||||
\usepackage{tikz}
|
||||
\definecolor{doc}{RGB}{0,60,110}
|
||||
\usepackage{titletoc}
|
||||
\contentsmargin{0cm}
|
||||
\titlecontents{chapter}[3.7pc]
|
||||
{\addvspace{30pt}%
|
||||
\begin{tikzpicture}[remember picture, overlay]%
|
||||
\draw[fill=doc!60,draw=doc!60] (-7,-.1) rectangle (-0.9,.5);%
|
||||
\pgftext[left,x=-3.5cm,y=0.2cm]{\color{white}\Large\sc\bfseries Chapter\ \thecontentslabel};%
|
||||
\end{tikzpicture}\color{doc!60}\large\sc\bfseries}%
|
||||
{}
|
||||
{}
|
||||
{\;\titlerule\;\large\sc\bfseries Page \thecontentspage
|
||||
\begin{tikzpicture}[remember picture, overlay]
|
||||
\draw[fill=doc!60,draw=doc!60] (2pt,0) rectangle (4,0.1pt);
|
||||
\end{tikzpicture}}%
|
||||
\titlecontents{section}[3.7pc]
|
||||
{\addvspace{2pt}}
|
||||
{\contentslabel[\thecontentslabel]{2pc}}
|
||||
{}
|
||||
{\hfill\small \thecontentspage}
|
||||
[]
|
||||
\titlecontents*{subsection}[3.7pc]
|
||||
{\addvspace{-1pt}\small}
|
||||
{}
|
||||
{}
|
||||
{\ --- \small\thecontentspage}
|
||||
[ \textbullet\ ][]
|
||||
|
||||
\makeatletter
|
||||
\renewcommand{\tableofcontents}{%
|
||||
\chapter*{%
|
||||
\vspace*{-20\p@}%
|
||||
\begin{tikzpicture}[remember picture, overlay]%
|
||||
\pgftext[right,x=15cm,y=0.2cm]{\color{doc!60}\Huge\sc\bfseries \contentsname};%
|
||||
\draw[fill=doc!60,draw=doc!60] (13,-.75) rectangle (20,1);%
|
||||
\clip (13,-.75) rectangle (20,1);
|
||||
\pgftext[right,x=15cm,y=0.2cm]{\color{white}\Huge\sc\bfseries \contentsname};%
|
||||
\end{tikzpicture}}%
|
||||
\@starttoc{toc}}
|
||||
\makeatother
|
||||
|
@ -0,0 +1,36 @@
|
||||
*--- SIMULATE FILE
|
||||
|
||||
*---SIMULATION PARAMETERS
|
||||
.PARAM:
|
||||
+ FS=60 ;SYSTEM SWITCHING FREQUENCY
|
||||
+ TS={1/FS}
|
||||
+ W={2*PI*FS}
|
||||
+ CYCLE=3 ;SIMULATED CYCLES
|
||||
+ START={500*TS}
|
||||
+ END={START+CYCLE*TS}
|
||||
+ STEP={TS/1000}
|
||||
|
||||
.TRAN {STEP} {END} {START} {STEP} UIC
|
||||
|
||||
*---CIRCUIT PARAMETERS
|
||||
.PARAM:
|
||||
+ VS = 110*SQRT(2)
|
||||
+ L = 20M
|
||||
+ R = 10
|
||||
|
||||
*.STEP PARAM L LIST 0.01M 25M 50M 100M
|
||||
|
||||
*--- AC POWER SUPPLY
|
||||
VIN IN 0 SINE(0 {VS} {FS} 0 0 0)
|
||||
|
||||
*--- CIRCUIT DISCRIPTION
|
||||
D1 IN D1OUT MYDIODE
|
||||
D2 0 D1OUT MYDIODE
|
||||
L D1OUT LOUT {L} IC=0
|
||||
R LOUT 0 {R}
|
||||
|
||||
*--- MEASURE POWER AND EFFICIENCY
|
||||
.MEAS TRAN VD AVG V(D1OUT)
|
||||
.MEAS TRAN VR AVG V(LOUT)
|
||||
|
||||
.MODEL MYDIODE D(RON=0.1M ROFF=100MEG VFWD=0.1M)
|
Binary file not shown.
Reference in New Issue
Block a user