BookGPU/Chapters/chapter16/ch16.aux

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   2 \@writefile{toc}{\author{X.-X. Liu}{}}
   3 \@writefile{toc}{\author{S. X.-D. Tan}{}}
   4 \@writefile{toc}{\author{H. Wang}{}}
   5 \@writefile{toc}{\author{H. Yu}{}}
   6 \@writefile{loa}{\addvspace {10\p@ }}
   7 \@writefile{toc}{\contentsline {chapter}{\numberline {1}GPU-Accelerated Envelope-Following Method}{3}}
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   9 \@writefile{lot}{\addvspace {10\p@ }}
  10 \@writefile{toc}{\contentsline {section}{\numberline {1.1}Introduction}{3}}
  11 \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
  12 \newlabel{fig:ef1}{{1.1(a)}{5}}
  13 \newlabel{sub@fig:ef1}{{(a)}{5}}
  14 \newlabel{fig:ef2}{{1.1(b)}{5}}
  15 \newlabel{sub@fig:ef2}{{(b)}{5}}
  16 \@writefile{lof}{\contentsline {figure}{\numberline {1.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{5}}
  17 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{5}}
  18 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{5}}
  19 \newlabel{fig:ef_intro}{{1.1}{5}}
  20 \@writefile{toc}{\contentsline {section}{\numberline {1.2}The envelope-following method in a nutshell}{6}}
  21 \newlabel{sec:ef}{{1.2}{6}}
  22 \newlabel{eq:dae}{{1.1}{6}}
  23 \newlabel{eq:Newton}{{1.2}{7}}
  24 \newlabel{eq:A}{{1.3}{7}}
  25 \@writefile{toc}{\contentsline {section}{\numberline {1.3}New parallel envelope-following method}{8}}
  26 \newlabel{sec:gmres}{{1.3}{8}}
  27 \@writefile{toc}{\contentsline {subsection}{\numberline {1.3.1}GMRES solver for Newton update equation}{8}}
  28 \@writefile{lof}{\contentsline {figure}{\numberline {1.2}{\ignorespaces The flow of envelope-following method.\relax }}{9}}
  29 \newlabel{fig:ef_flow}{{1.2}{9}}
  30 \@writefile{toc}{\contentsline {subsection}{\numberline {1.3.2}Parallelization on GPU platforms}{10}}
  31 \newlabel{sec:gpu}{{1.3.2}{10}}
  32 \@writefile{lof}{\contentsline {figure}{\numberline {1.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{11}}
  33 \newlabel{fig:gmres}{{1.3}{11}}
  34 \@writefile{toc}{\contentsline {subsection}{\numberline {1.3.3}Gear-2 based sensitivity calculation}{12}}
  35 \newlabel{sec:gear}{{1.3.3}{12}}
  36 \newlabel{eq:BE}{{1.4}{12}}
  37 \newlabel{eq:sens1}{{1.5}{12}}
  38 \newlabel{eq:Gear_t2}{{1.6}{13}}
  39 \newlabel{eq:sens2}{{1.7}{13}}
  40 \newlabel{eq:Gear_t3}{{1.8}{13}}
  41 \newlabel{eq:sensM}{{1.9}{13}}
  42 \@writefile{toc}{\contentsline {section}{\numberline {1.4}Numerical examples}{14}}
  43 \newlabel{sec:exp}{{1.4}{14}}
  44 \@writefile{lof}{\contentsline {figure}{\numberline {1.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{15}}
  45 \newlabel{fig:flyback}{{1.4}{15}}
  46 \@writefile{lof}{\contentsline {figure}{\numberline {1.5}{\ignorespaces Illustration of power/ground network model.\relax }}{15}}
  47 \newlabel{fig:pg}{{1.5}{15}}
  48 \@writefile{lot}{\contentsline {table}{\numberline {1.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{15}}
  49 \newlabel{table:circuit}{{1.1}{15}}
  50 \newlabel{fig:flybackWhole}{{1.6(a)}{16}}
  51 \newlabel{sub@fig:flybackWhole}{{(a)}{16}}
  52 \newlabel{fig:flybackZoom}{{1.6(b)}{16}}
  53 \newlabel{sub@fig:flybackZoom}{{(b)}{16}}
  54 \@writefile{lof}{\contentsline {figure}{\numberline {1.6}{\ignorespaces Flyback converter solution calculated by envelope-following. The red curve is traditional SPICE simulation result, and the back curve is the envelope-following output with simulation points marked.\relax }}{16}}
  55 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{16}}
  56 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{16}}
  57 \newlabel{fig:flyback_wave}{{1.6}{16}}
  58 \@writefile{lof}{\contentsline {figure}{\numberline {1.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{17}}
  59 \newlabel{fig:buck_wave}{{1.7}{17}}
  60 \@writefile{toc}{\contentsline {section}{\numberline {1.5}Summary}{17}}
  61 \newlabel{sec:summary}{{1.5}{17}}
  62 \@writefile{toc}{\contentsline {section}{\numberline {1.6}Glossary}{18}}
  63 \@writefile{toc}{\contentsline {section}{Bibliography}{18}}
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