BookGPU/Chapters/chapter16/ch16.aux

   1 \relax
   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 {13}GPU-Accelerated Envelope-Following Method}{289}}
   8 \@writefile{lof}{\addvspace {10\p@ }}
   9 \@writefile{lot}{\addvspace {10\p@ }}
  10 \@writefile{toc}{\contentsline {section}{\numberline {13.1}Introduction}{289}}
  11 \newlabel{fig:ef1}{{13.1(a)}{291}}
  12 \newlabel{sub@fig:ef1}{{(a)}{291}}
  13 \newlabel{fig:ef2}{{13.1(b)}{291}}
  14 \newlabel{sub@fig:ef2}{{(b)}{291}}
  15 \@writefile{lof}{\contentsline {figure}{\numberline {13.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{291}}
  16 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{291}}
  17 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{291}}
  18 \newlabel{fig:ef_intro}{{13.1}{291}}
  19 \@writefile{toc}{\contentsline {section}{\numberline {13.2}The envelope-following method in a nutshell}{292}}
  20 \newlabel{sec:ef}{{13.2}{292}}
  21 \newlabel{eq:dae}{{13.1}{292}}
  22 \newlabel{eq:Newton}{{13.2}{293}}
  23 \newlabel{eq:A}{{13.3}{293}}
  24 \@writefile{toc}{\contentsline {section}{\numberline {13.3}New parallel envelope-following method}{294}}
  25 \newlabel{sec:gmres}{{13.3}{294}}
  26 \@writefile{toc}{\contentsline {subsection}{\numberline {13.3.1}GMRES solver for Newton update equation}{294}}
  27 \@writefile{lof}{\contentsline {figure}{\numberline {13.2}{\ignorespaces The flow of envelope-following method.\relax }}{295}}
  28 \newlabel{fig:ef_flow}{{13.2}{295}}
  29 \@writefile{loa}{\contentsline {algocf}{\numberline {10}{\ignorespaces Standard GMRES algorithm.\relax }}{296}}
  30 \newlabel{alg:GMRES}{{10}{296}}
  31 \newlabel{line:mvp}{{5}{296}}
  32 \newlabel{line:newnorm}{{11}{296}}
  33 \@writefile{toc}{\contentsline {subsection}{\numberline {13.3.2}Parallelization on GPU platforms}{296}}
  34 \newlabel{sec:gpu}{{13.3.2}{296}}
  35 \@writefile{lof}{\contentsline {figure}{\numberline {13.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{297}}
  36 \newlabel{fig:gmres}{{13.3}{297}}
  37 \@writefile{toc}{\contentsline {subsection}{\numberline {13.3.3}Gear-2 based sensitivity calculation}{298}}
  38 \newlabel{sec:gear}{{13.3.3}{298}}
  39 \newlabel{eq:BE}{{13.4}{298}}
  40 \newlabel{eq:sens1}{{13.5}{298}}
  41 \newlabel{eq:Gear_t2}{{13.6}{299}}
  42 \newlabel{eq:sens2}{{13.7}{299}}
  43 \newlabel{eq:Gear_t3}{{13.8}{299}}
  44 \newlabel{eq:sensM}{{13.9}{299}}
  45 \@writefile{loa}{\contentsline {algocf}{\numberline {11}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{300}}
  46 \newlabel{alg:mf_Gear}{{11}{300}}
  47 \newlabel{line:mf_Gear_loop}{{4}{300}}
  48 \newlabel{line:shift}{{8}{300}}
  49 \@writefile{toc}{\contentsline {section}{\numberline {13.4}Numerical examples}{300}}
  50 \newlabel{sec:exp}{{13.4}{300}}
  51 \@writefile{lof}{\contentsline {figure}{\numberline {13.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{301}}
  52 \newlabel{fig:flyback}{{13.4}{301}}
  53 \@writefile{lof}{\contentsline {figure}{\numberline {13.5}{\ignorespaces Illustration of power/ground network model.\relax }}{301}}
  54 \newlabel{fig:pg}{{13.5}{301}}
  55 \newlabel{fig:flybackWhole}{{13.6(a)}{302}}
  56 \newlabel{sub@fig:flybackWhole}{{(a)}{302}}
  57 \newlabel{fig:flybackZoom}{{13.6(b)}{302}}
  58 \newlabel{sub@fig:flybackZoom}{{(b)}{302}}
  59 \@writefile{lof}{\contentsline {figure}{\numberline {13.6}{\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 }}{302}}
  60 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{302}}
  61 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{302}}
  62 \newlabel{fig:flyback_wave}{{13.6}{302}}
  63 \@writefile{lof}{\contentsline {figure}{\numberline {13.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{303}}
  64 \newlabel{fig:buck_wave}{{13.7}{303}}
  65 \@writefile{lot}{\contentsline {table}{\numberline {13.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{303}}
  66 \newlabel{table:circuit}{{13.1}{303}}
  67 \@writefile{toc}{\contentsline {section}{\numberline {13.5}Summary}{304}}
  68 \newlabel{sec:summary}{{13.5}{304}}
  69 \@writefile{toc}{\contentsline {section}{\numberline {13.6}Glossary}{304}}
  70 \@writefile{toc}{\contentsline {section}{Bibliography}{304}}
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