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 {15}GPU-Accelerated Envelope-Following Method}{343}}
   8 \@writefile{lof}{\addvspace {10\p@ }}
   9 \@writefile{lot}{\addvspace {10\p@ }}
  10 \@writefile{toc}{\contentsline {section}{\numberline {15.1}Introduction}{343}}
  11 \newlabel{fig:ef1}{{15.1(a)}{345}}
  12 \newlabel{sub@fig:ef1}{{(a)}{345}}
  13 \newlabel{fig:ef2}{{15.1(b)}{345}}
  14 \newlabel{sub@fig:ef2}{{(b)}{345}}
  15 \@writefile{lof}{\contentsline {figure}{\numberline {15.1}{\ignorespaces Transient envelope-following analysis. (Both two figures reflect backward-Euler style envelope-following.)\relax }}{345}}
  16 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {Illustration of one envelope skip.}}}{345}}
  17 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {The envelope changes in a slow time scale.}}}{345}}
  18 \newlabel{fig:ef_intro}{{15.1}{345}}
  19 \@writefile{toc}{\contentsline {section}{\numberline {15.2}The envelope-following method in a nutshell}{346}}
  20 \newlabel{sec:ef}{{15.2}{346}}
  21 \newlabel{eq:dae}{{15.1}{346}}
  22 \newlabel{eq:Newton}{{15.2}{347}}
  23 \newlabel{eq:A}{{15.3}{347}}
  24 \@writefile{toc}{\contentsline {section}{\numberline {15.3}New parallel envelope-following method}{348}}
  25 \newlabel{sec:gmres}{{15.3}{348}}
  26 \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.1}GMRES solver for Newton update equation}{348}}
  27 \@writefile{lof}{\contentsline {figure}{\numberline {15.2}{\ignorespaces The flow of envelope-following method.\relax }}{349}}
  28 \newlabel{fig:ef_flow}{{15.2}{349}}
  29 \@writefile{loa}{\contentsline {algocf}{\numberline {14}{\ignorespaces Standard GMRES algorithm.\relax }}{350}}
  30 \newlabel{alg:GMRES}{{14}{350}}
  31 \newlabel{line:mvp}{{5}{350}}
  32 \newlabel{line:newnorm}{{11}{350}}
  33 \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.2}Parallelization on GPU platforms}{350}}
  34 \newlabel{sec:gpu}{{15.3.2}{350}}
  35 \@writefile{lof}{\contentsline {figure}{\numberline {15.3}{\ignorespaces GPU parallel solver for envelope-following update.\relax }}{351}}
  36 \newlabel{fig:gmres}{{15.3}{351}}
  37 \@writefile{toc}{\contentsline {subsection}{\numberline {15.3.3}Gear-2 based sensitivity calculation}{352}}
  38 \newlabel{sec:gear}{{15.3.3}{352}}
  39 \newlabel{eq:BE}{{15.4}{352}}
  40 \newlabel{eq:sens1}{{15.5}{352}}
  41 \newlabel{eq:Gear_t2}{{15.6}{353}}
  42 \newlabel{eq:sens2}{{15.7}{353}}
  43 \newlabel{eq:Gear_t3}{{15.8}{353}}
  44 \newlabel{eq:sensM}{{15.9}{353}}
  45 \@writefile{loa}{\contentsline {algocf}{\numberline {15}{\ignorespaces The matrix-free method for Krylov subspace construction.\relax }}{354}}
  46 \newlabel{alg:mf_Gear}{{15}{354}}
  47 \newlabel{line:mf_Gear_loop}{{4}{354}}
  48 \newlabel{line:shift}{{8}{354}}
  49 \@writefile{toc}{\contentsline {section}{\numberline {15.4}Numerical examples}{354}}
  50 \newlabel{sec:exp}{{15.4}{354}}
  51 \@writefile{lof}{\contentsline {figure}{\numberline {15.4}{\ignorespaces Diagram of a zero-voltage quasi-resonant flyback converter.\relax }}{355}}
  52 \newlabel{fig:flyback}{{15.4}{355}}
  53 \@writefile{lof}{\contentsline {figure}{\numberline {15.5}{\ignorespaces Illustration of power/ground network model.\relax }}{355}}
  54 \newlabel{fig:pg}{{15.5}{355}}
  55 \newlabel{fig:flybackWhole}{{15.6(a)}{356}}
  56 \newlabel{sub@fig:flybackWhole}{{(a)}{356}}
  57 \newlabel{fig:flybackZoom}{{15.6(b)}{356}}
  58 \newlabel{sub@fig:flybackZoom}{{(b)}{356}}
  59 \@writefile{lof}{\contentsline {figure}{\numberline {15.6}{\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 }}{356}}
  60 \@writefile{lof}{\contentsline {subfigure}{\numberline{(a)}{\ignorespaces {The whole plot}}}{356}}
  61 \@writefile{lof}{\contentsline {subfigure}{\numberline{(b)}{\ignorespaces {Detail of one EF simulation period}}}{356}}
  62 \newlabel{fig:flyback_wave}{{15.6}{356}}
  63 \@writefile{lof}{\contentsline {figure}{\numberline {15.7}{\ignorespaces Buck converter solution calculated by envelope-following.\relax }}{357}}
  64 \newlabel{fig:buck_wave}{{15.7}{357}}
  65 \@writefile{lot}{\contentsline {table}{\numberline {15.1}{\ignorespaces CPU and GPU time comparisons (in seconds) for solving Newton update equation with the proposed Gear-2 sensitivity. \relax }}{357}}
  66 \newlabel{table:circuit}{{15.1}{357}}
  67 \@writefile{toc}{\contentsline {section}{\numberline {15.5}Summary}{358}}
  68 \newlabel{sec:summary}{{15.5}{358}}
  69 \@writefile{toc}{\contentsline {section}{\numberline {15.6}Glossary}{358}}
  70 \@writefile{toc}{\contentsline {section}{Bibliography}{358}}
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