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Autor: Pablo_Ledesma
Tema 4: Estabilidad Transitoria

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# LaTeX2HTML 2008 (1.71)
# Associate images original text with physical files.


$key = q/p;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img28.png"
 ALT="$ p$">|; 

$key = q/R_a+jX'';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="73" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img123.png"
 ALT="$ R_a + jX''$">|; 

$key = q/L''_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img112.png"
 ALT="$ L''_q$">|; 

$key = q/displaystyleL''_{aqs}left(-i_q+frac{Psi_{1q}}{L_{1q}}+frac{Psi_{2q}}{L_{2q}}right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="184" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img99.png"
 ALT="$\displaystyle L''_{aqs} \left( -i_q + \frac{\Psi_{1q}}{L_{1q}} + \frac{\Psi_{2q}}{L_{2q}} \right)$">|; 

$key = q/mathbf{x};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img142.png"
 ALT="$ \mathbf{x}$">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>17input{areas7.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="526" HEIGHT="376" BORDER="0"
 SRC="|."$dir".q|img50.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas7.pstex_t}}\end{figure}">|; 

$key = q/displaystyleT_e;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img129.png"
 ALT="$\displaystyle T_e$">|; 

$key = q/displaystylefrac{dDeltaomega_r}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="47" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img125.png"
 ALT="$\displaystyle \frac{d \Delta \omega_r}{dt}$">|; 

$key = q/L''_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img111.png"
 ALT="$ L''_d$">|; 

$key = q/displaystylemathcal{E}=-(R_a+jX'')mathcal{I}+mathcal{E}'';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="177" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img121.png"
 ALT="$\displaystyle \mathcal{E} = - (R_a + j X'') \mathcal{I} + \mathcal{E}''$">|; 

$key = q/delta_o=22,5^o=0,39~mathrm{rad};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="158" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img65.png"
 ALT="$ \delta_o = 22,5^o = 0,39&nbsp;\mathrm{rad}$">|; 

$key = q/E_{red}angle0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="54" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img6.png"
 ALT="$ E_{red} \angle 0$">|; 

$key = q/scalebox{.8}{includegraphics{areas0.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="95" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img7.png"
 ALT="\scalebox{.8}{\includegraphics{areas0.eps}}">|; 

$key = q/omega_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img29.png"
 ALT="$ \omega_0$">|; 

$key = q/A_2;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img44.png"
 ALT="$ A_2$">|; 

$key = q/delta_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img17.png"
 ALT="$ \delta_0$">|; 

$key = q/displaystylefrac{ddelta}{dt}=23,562t~mathrm{radslashs};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="140" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img64.png"
 ALT="$\displaystyle \frac{d \delta}{d t} = 23,562 t&nbsp;\mathrm{rad/s}$">|; 

$key = q/delta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="12" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img10.png"
 ALT="$ \delta$">|; 

$key = q/e_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img105.png"
 ALT="$ e_q$">|; 

$key = q/P_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img15.png"
 ALT="$ P_{max}$">|; 

$key = q/H;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img31.png"
 ALT="$ H$">|; 

$key = q/displaystyleint_{delta_0}^{delta_1}frac{omega_0(P_m-P_e)}{H}ddelta=int_{delta_1}^{delta_{max}}frac{omega_0(P_e-P_m)}{H}ddelta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="321" HEIGHT="59" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img42.png"
 ALT="$\displaystyle \int_{\delta_0}^{\delta_1} \frac{\omega_0 (P_m -P_e)}{H} d \delta = \int_{\delta_1}^{\delta_{max}} \frac{\omega_0 (P_e -P_m)}{H} d \delta$">|; 

$key = q/1q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img80.png"
 ALT="$ 1q$">|; 

$key = q/displaystyleL''_{ads}left(-i_d+frac{Psi_{fd}}{L_{fd}}+frac{Psi_{1d}}{L_{1d}}right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="187" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img97.png"
 ALT="$\displaystyle L''_{ads} \left( -i_d + \frac{\Psi_{fd}}{L_{fd}} + \frac{\Psi_{1d}}{L_{1d}} \right)$">|; 

$key = q/displaystyleleft[frac{ddelta}{dt}right]^2_B-left[frac{ddelta}{dt}right]^2_A=int_A^Bfrac{omega_0(P_m-P_e)}{H}ddelta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="277" HEIGHT="61" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img38.png"
 ALT="$\displaystyle \left[ \frac{d \delta}{d t} \right]^2_B - \left[ \frac{d \delta}{d t} \right]^2_A = \int_A^B \frac{\omega_0 (P_m -P_e)}{H} d \delta$">|; 

$key = q/mathcal{E}'';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img122.png"
 ALT="$ \mathcal{E}''$">|; 

$key = q/displaystylePsi_{ad}i_q-Psi_{aq}i_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="102" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img130.png"
 ALT="$\displaystyle \Psi_{ad} i_q - \Psi_{aq} i_d$">|; 

$key = q/displaystylefrac{d}{dt}left[frac{ddelta}{dt}right]^2=frac{omega_0(P_m-P_e)}{H}frac{ddelta}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="201" HEIGHT="61" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img35.png"
 ALT="$\displaystyle \frac{d}{d t} \left[ \frac{d \delta}{d t} \right]^2 = \frac{\omega_0 (P_m -P_e)}{H} \frac{d \delta}{d t}$">|; 

$key = q/2q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img81.png"
 ALT="$ 2q$">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>19input{areas9.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="313" HEIGHT="281" BORDER="0"
 SRC="|."$dir".q|img52.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas9.pstex_t}}\end{figure}">|; 

$key = q/{figure}{centering{{scalebox{.9}{<comment_mark>43input{eqth.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="212" HEIGHT="118" BORDER="0"
 SRC="|."$dir".q|img124.png"
 ALT="\begin{figure}\centering
\scalebox{.9}{%
\input{eqth.pstex_t}}\end{figure}">|; 

$key = q/P_{m1}=0,8;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img22.png"
 ALT="$ P_{m1} = 0,8$">|; 

$key = q/scalebox{.8}{includegraphics{ecs_sist.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="614" HEIGHT="238" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img140.png"
 ALT="\scalebox{.8}{\includegraphics{ecs_sist.eps}}">|; 

$key = q/displaystyleE''_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img115.png"
 ALT="$\displaystyle E''_d$">|; 

$key = q/u=Lfrac{di}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="61" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img75.png"
 ALT="$ u = L \frac{di}{dt}$">|; 

$key = q/displaystylefrac{dPsi_{1d}}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img85.png"
 ALT="$\displaystyle \frac{d \Psi_{1d}}{dt}$">|; 

$key = q/displaystylefrac{ddelta}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img127.png"
 ALT="$\displaystyle \frac{d \delta}{dt}$">|; 

$key = q/scalebox{.7}{includegraphics{ne_inest_spd.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="645" HEIGHT="483" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img158.png"
 ALT="\scalebox{.7}{\includegraphics{ne_inest_spd.eps}}">|; 

$key = q/scalebox{.25}{includegraphics{areas.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="426" HEIGHT="361" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img59.png"
 ALT="\scalebox{.25}{\includegraphics{areas.eps}}">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>14input{areas4.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="494" HEIGHT="362" BORDER="0"
 SRC="|."$dir".q|img24.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas4.pstex_t}}\end{figure}">|; 

$key = q/L''_{ads};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img100.png"
 ALT="$ L''_{ads}$">|; 

$key = q/mathcal{U}mathcal{I}^*=K;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="69" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img139.png"
 ALT="$ \mathcal{U}\mathcal{I}^* = K$">|; 

$key = q/delta_{cr}=95^o;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img60.png"
 ALT="$ \delta_{cr} = 95^o$">|; 

$key = q/displaystyle-omegaL''_{ads}left(frac{Psi_{fd}}{L_{fd}}+frac{Psi_{1d}}{L_{1d}}right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="165" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img118.png"
 ALT="$\displaystyle -\omega L''_{ads} \left( \frac{\Psi_{fd}}{L_{fd}} + \frac{\Psi_{1d}}{L_{1d}} \right)$">|; 

$key = q/displaystyle1,66=(11,781t_{cr}^2+0,39);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="184" HEIGHT="37" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img69.png"
 ALT="$\displaystyle 1,66 = (11,781 t_{cr}^2 + 0,39)$">|; 

$key = q/displaystyleP_e=2mathrm{sen}delta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="80" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img58.png"
 ALT="$\displaystyle P_e = 2 \mathrm{sen} \delta$">|; 

$key = q/K_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img134.png"
 ALT="$ K_d$">|; 

$key = q/E''_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img114.png"
 ALT="$ E''_q$">|; 

$key = q/1d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img79.png"
 ALT="$ 1d$">|; 

$key = q/{figure}{centering{{scalebox{.8}{<comment_mark>11input{areas1.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="459" HEIGHT="142" BORDER="0"
 SRC="|."$dir".q|img8.png"
 ALT="\begin{figure}\centering
\scalebox{.8}{%
\input{areas1.pstex_t}}\end{figure}">|; 

$key = q/displaystyleint_{delta_0}^{delta_{max}}frac{omega_0(P_m-P_e)}{H}ddelta=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="190" HEIGHT="59" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img40.png"
 ALT="$\displaystyle \int_{\delta_0}^{\delta_{max}} \frac{\omega_0 (P_m -P_e)}{H} d \delta = 0$">|; 

$key = q/X_{tr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img3.png"
 ALT="$ X_{tr}$">|; 

$key = q/X'_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img2.png"
 ALT="$ X'_d$">|; 

$key = q/Deltaomega_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="34" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img138.png"
 ALT="$ \Delta \omega_r$">|; 

$key = q/{figure}{centering{{scalebox{.8}{<comment_mark>12input{areas2.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="221" HEIGHT="142" BORDER="0"
 SRC="|."$dir".q|img16.png"
 ALT="\begin{figure}\centering
\scalebox{.8}{%
\input{areas2.pstex_t}}\end{figure}">|; 

$key = q/scalebox{.65}{includegraphics{ne_est_ang.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="599" HEIGHT="449" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img156.png"
 ALT="\scalebox{.65}{\includegraphics{ne_est_ang.eps}}">|; 

$key = q/scalebox{.6}{includegraphics{ne.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="563" HEIGHT="443" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img151.png"
 ALT="\scalebox{.6}{\includegraphics{ne.eps}}">|; 

$key = q/displaystylefrac{dmathbf{x}}{dt}=mathbf{f}(mathbf{x},t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="89" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img141.png"
 ALT="$\displaystyle \frac{d \mathbf{x}}{dt} = \mathbf{f}(\mathbf{x},t)$">|; 

$key = q/displaystylefrac{1}{2H}(T_m-T_e-K_dDeltaomega_r);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="170" HEIGHT="50" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img126.png"
 ALT="$\displaystyle \frac{1}{2H} (T_m - T_e - K_d \Delta \omega_r)$">|; 

$key = q/L''_d=L''_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="63" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img119.png"
 ALT="$ L''_d = L''_q$">|; 

$key = q/2ddeltaslashdt;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="50" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img33.png"
 ALT="$ 2 d \delta / d t$">|; 

$key = q/b;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img23.png"
 ALT="$ b$">|; 

$key = q/displaystylet_{cr}=0,33~mathrm{s};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="86" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img70.png"
 ALT="$\displaystyle t_{cr} = 0,33&nbsp;\mathrm{s}$">|; 

$key = q/frac{dx}{dt}=f(x,t);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="87" HEIGHT="36" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img145.png"
 ALT="$ \frac{dx}{dt} = f(x,t)$">|; 

$key = q/A_4;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img49.png"
 ALT="$ A_4$">|; 

$key = q/displaystyleomega_0left(frac{(Psi_{aq}-Psi_{2q})}{L_{2q}}right)R_{2q};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="163" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img90.png"
 ALT="$\displaystyle \omega_0 \left( \frac{(\Psi_{aq}-\Psi_{2q})}{L_{2q}} \right) R_{2q}$">|; 

$key = q/E''_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img113.png"
 ALT="$ E''_d$">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>22input{areas12.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="470" HEIGHT="338" BORDER="0"
 SRC="|."$dir".q|img57.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas12.pstex_t}}\end{figure}">|; 

$key = q/P_m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img32.png"
 ALT="$ P_m$">|; 

$key = q/displaystylefrac{d^2delta}{dt^2}=frac{omega_0}{2H}(P_m-P_e);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="150" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img30.png"
 ALT="$\displaystyle \frac{d^2 \delta}{d t^2} = \frac{\omega_0}{2H} (P_m -P_e)$">|; 

$key = q/displaystylee_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img106.png"
 ALT="$\displaystyle e_d$">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>13input{areas3.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="289" HEIGHT="215" BORDER="0"
 SRC="|."$dir".q|img20.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas3.pstex_t}}\end{figure}">|; 

$key = q/t_{cr};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img68.png"
 ALT="$ t_{cr}$">|; 

$key = q/Psi;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img93.png"
 ALT="$ \Psi$">|; 

$key = q/delta_{max};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="38" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img39.png"
 ALT="$ \delta_{max}$">|; 

$key = q/t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="10" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img143.png"
 ALT="$ t$">|; 

$key = q/X_{l2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img5.png"
 ALT="$ X_{l2}$">|; 

$key = q/displaystyle-R_ai_q-(omegaL''_d)i_d+E''_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="163" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img109.png"
 ALT="$\displaystyle -R_ai_q - (\omega L''_d)i_d + E''_q$">|; 

$key = q/displaystylefrac{d^2delta}{dt^2}=frac{314~mathrm{radslashs}}{2times5~mathrm{s}}(0,75-0)=23,562~mathrm{radslashs^2};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="311" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img63.png"
 ALT="$\displaystyle \frac{d^2 \delta}{d t^2} = \frac{314&nbsp;\mathrm{rad/s}}{2 \times 5&nbsp;\mathrm{s}}(0,75 - 0) = 23,562&nbsp;\mathrm{rad/s^2}$">|; 

$key = q/displaystylefrac{2H}{omega_0}frac{d^2delta}{dt^2}=P_m-P_e;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="137" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img62.png"
 ALT="$\displaystyle \frac{2H}{\omega_0} \frac{d^2 \delta}{d t^2} = P_m - P_e$">|; 

$key = q/displaystyleP_{max}=frac{E'E_{red}}{X_t};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="114" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img14.png"
 ALT="$\displaystyle P_{max} = \frac{E' E_{red}}{X_t}$">|; 

$key = q/c;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="11" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img25.png"
 ALT="$ c$">|; 

$key = q/displaystylefrac{dPsi_{2q}}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img89.png"
 ALT="$\displaystyle \frac{d \Psi_{2q}}{dt}$">|; 

$key = q/a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="13" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img19.png"
 ALT="$ a$">|; 

$key = q/displaystyleomega_0left[e_{fd}+frac{(Psi_{ad}-Psi_{fd})R_{fd}}{L_{fd}}right];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="199" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img84.png"
 ALT="$\displaystyle \omega_0 \left[ e_{fd} + \frac{(\Psi_{ad}-\Psi_{fd})R_{fd}}{L_{fd}} \right]$">|; 

$key = q/displaystyle=;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img83.png"
 ALT="$\displaystyle =$">|; 

$key = q/displaystyleE''_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="25" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img117.png"
 ALT="$\displaystyle E''_q$">|; 

$key = q/X';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img136.png"
 ALT="$ X'$">|; 

$key = q/displaystyleomega_0left(frac{(Psi_{ad}-Psi_{1d})}{L_{1d}}right)R_{1d};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="164" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img86.png"
 ALT="$\displaystyle \omega_0 \left( \frac{(\Psi_{ad}-\Psi_{1d})}{L_{1d}} \right) R_{1d}$">|; 

$key = q/Psi_{aq};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img95.png"
 ALT="$ \Psi_{aq}$">|; 

$key = q/delta=180^o-delta_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="98" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img54.png"
 ALT="$ \delta = 180^o - \delta_0$">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>16input{areas6.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="388" HEIGHT="228" BORDER="0"
 SRC="|."$dir".q|img47.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas6.pstex_t}}\end{figure}">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>15input{areas5.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="388" HEIGHT="230" BORDER="0"
 SRC="|."$dir".q|img46.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas5.pstex_t}}\end{figure}">|; 

$key = q/R_a;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="24" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img110.png"
 ALT="$ R_a$">|; 

$key = q/Deltat;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img148.png"
 ALT="$ \Delta t$">|; 

$key = q/A_3;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img48.png"
 ALT="$ A_3$">|; 

$key = q/displaystyleomega_0left(frac{(Psi_{aq}-Psi_{1q})}{L_{1q}}right)R_{1q};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="163" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img88.png"
 ALT="$\displaystyle \omega_0 \left( \frac{(\Psi_{aq}-\Psi_{1q})}{L_{1q}} \right) R_{1q}$">|; 

$key = q/L''_{aqs};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="35" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img101.png"
 ALT="$ L''_{aqs}$">|; 

$key = q/i_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img103.png"
 ALT="$ i_q$">|; 

$key = q/mathbf{x}_0,t_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="41" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img144.png"
 ALT="$ \mathbf{x}_0, t_0$">|; 

$key = q/displaystylex_{n+1}=x_{n}+frac{dx}{dt}vert_{x=x_n}Deltat;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="174" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img146.png"
 ALT="$\displaystyle x_{n+1} = x_{n} + \frac{dx}{dt}\vert_{x=x_n} \Delta t$">|; 

$key = q/displaystylePsi_{aq};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img98.png"
 ALT="$\displaystyle \Psi_{aq}$">|; 

$key = q/X_t;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img11.png"
 ALT="$ X_t$">|; 

$key = q/displaystyle2frac{ddelta}{dt}frac{d^2delta}{dt^2}=frac{omega_0(P_m-P_e)}{H}frac{ddelta}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="192" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img34.png"
 ALT="$\displaystyle 2 \frac{d \delta}{d t} \frac{d^2 \delta}{d t^2} = \frac{\omega_0 (P_m -P_e)}{H} \frac{d \delta}{d t}$">|; 

$key = q/B;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img37.png"
 ALT="$ B$">|; 

$key = q/E';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img9.png"
 ALT="$ E'$">|; 

$key = q/scalebox{.7}{includegraphics{ne_est_spd.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="645" HEIGHT="483" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img152.png"
 ALT="\scalebox{.7}{\includegraphics{ne_est_spd.eps}}">|; 

$key = q/displaystyleomega_0Deltaomega_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="51" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img128.png"
 ALT="$\displaystyle \omega_0 \Delta \omega_r$">|; 

$key = q/displaystylefrac{dPsi_{fd}}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="44" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img82.png"
 ALT="$\displaystyle \frac{d \Psi_{fd}}{dt}$">|; 

$key = q/i_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img102.png"
 ALT="$ i_d$">|; 

$key = q/displaystyleint_{delta_0}^{delta_1}frac{omega_0(P_m-P_e)}{H}ddelta+int_{delta_1}^{delta_{max}}frac{omega_0(P_m-P_e)}{H}ddelta=0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="348" HEIGHT="59" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img41.png"
 ALT="$\displaystyle \int_{\delta_0}^{\delta_1} \frac{\omega_0 (P_m -P_e)}{H} d \delta + \int_{\delta_1}^{\delta_{max}} \frac{\omega_0 (P_m -P_e)}{H} d \delta = 0$">|; 

$key = q/X'';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img135.png"
 ALT="$ X''$">|; 

$key = q/A;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img36.png"
 ALT="$ A$">|; 

$key = q/scalebox{.7}{includegraphics{ne_est_spd_8_10.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="561" HEIGHT="339" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img154.png"
 ALT="\scalebox{.7}{\includegraphics{ne_est_spd_8_10.eps}}">|; 

$key = q/displaystylefrac{ddelta}{dt}=pfrac{dtheta_r}{dt}-omega_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="116" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img26.png"
 ALT="$\displaystyle \frac{d \delta}{dt} = p \frac{d \theta_r}{dt} - \omega_0$">|; 

$key = q/scalebox{.25}{includegraphics{areas_solucion_1.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="426" HEIGHT="363" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img61.png"
 ALT="\scalebox{.25}{\includegraphics{areas_solucion_1.eps}}">|; 

$key = q/omega_0+Deltaomegaapproxomega_0;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="103" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img77.png"
 ALT="$ \omega_0 + \Delta \omega \approx \omega_0$">|; 

$key = q/T_e;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img133.png"
 ALT="$ T_e$">|; 

$key = q/delta_{cr}=95^o=1,66~mathrm{rad};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="149" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img67.png"
 ALT="$ \delta_{cr} = 95^o = 1,66&nbsp;\mathrm{rad}$">|; 

$key = q/X_{l1};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="29" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img4.png"
 ALT="$ X_{l1}$">|; 

$key = q/scalebox{.7}{includegraphics{ne_est_spd_1.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="561" HEIGHT="339" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img153.png"
 ALT="\scalebox{.7}{\includegraphics{ne_est_spd_1.eps}}">|; 

$key = q/P_m=0,5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="71" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img18.png"
 ALT="$ P_m = 0,5$">|; 

$key = q/displaystyleP_e=0,875mathrm{sen}delta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="111" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img71.png"
 ALT="$\displaystyle P_e = 0,875 \mathrm{sen} \delta$">|; 

$key = q/e_{fd};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="27" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img91.png"
 ALT="$ e_{fd}$">|; 

$key = q/displaystyle-omegaL''_{aqs}left(frac{Psi_{1q}}{L_{1q}}+frac{Psi_{2q}}{L_{2q}}right);MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="162" HEIGHT="54" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img116.png"
 ALT="$\displaystyle -\omega L''_{aqs} \left( \frac{\Psi_{1q}}{L_{1q}} + \frac{\Psi_{2q}}{L_{2q}} \right)$">|; 

$key = q/displaystyledelta=(frac{23,562}{2}t^2+0,39)~mathrm{rad}=(11,781t^2+0,39)~mathrm{rad};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="360" HEIGHT="50" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img66.png"
 ALT="$\displaystyle \delta = (\frac{23,562}{2} t^2 + 0,39)&nbsp;\mathrm{rad} = (11,781 t^2 + 0,39)&nbsp;\mathrm{rad}$">|; 

$key = q/fd;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="22" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img78.png"
 ALT="$ fd$">|; 

$key = q/T_m;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="26" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img132.png"
 ALT="$ T_m$">|; 

$key = q/mathcal{E}';MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="18" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img137.png"
 ALT="$ \mathcal{E}'$">|; 

$key = q/scalebox{.65}{includegraphics{ne_est_p.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="599" HEIGHT="449" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img157.png"
 ALT="\scalebox{.65}{\includegraphics{ne_est_p.eps}}">|; 

$key = q/scalebox{.8}{includegraphics{cc2.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="153" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img56.png"
 ALT="\scalebox{.8}{\includegraphics{cc2.eps}}">|; 

$key = q/P_e;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img12.png"
 ALT="$ P_e$">|; 

$key = q/Psi_{ad};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img94.png"
 ALT="$ \Psi_{ad}$">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>20input{areas10.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="471" HEIGHT="338" BORDER="0"
 SRC="|."$dir".q|img53.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas10.pstex_t}}\end{figure}">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>21input{areas11.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="529" HEIGHT="377" BORDER="0"
 SRC="|."$dir".q|img55.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas11.pstex_t}}\end{figure}">|; 

$key = q/A_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="23" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img43.png"
 ALT="$ A_1$">|; 

$key = q/scalebox{.7}{includegraphics{ne_est_spd_5_9.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="561" HEIGHT="339" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img155.png"
 ALT="\scalebox{.7}{\includegraphics{ne_est_spd_5_9.eps}}">|; 

$key = q/displaystylex_1=x_0+frac{Deltat}{2}left[f(x_0,t_0)+f(x_1,t_1)right];MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="247" HEIGHT="53" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img149.png"
 ALT="$\displaystyle x_1 = x_0 + \frac{\Delta t}{2} \left[ f(x_0,t_0) + f(x_1,t_1) \right]$">|; 

$key = q/e_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img104.png"
 ALT="$ e_d$">|; 

$key = q/displaystylee_q;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img108.png"
 ALT="$\displaystyle e_q$">|; 

$key = q/displaystylePsi_{ad};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="31" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img96.png"
 ALT="$\displaystyle \Psi_{ad}$">|; 

$key = q/scalebox{.8}{includegraphics{cc1.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="222" HEIGHT="153" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img45.png"
 ALT="\scalebox{.8}{\includegraphics{cc1.eps}}">|; 

$key = q/{figure}{centering{{scalebox{.45}{<comment_mark>18input{areas8.pstex_t}}{{{{figure};FSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="313" HEIGHT="206" BORDER="0"
 SRC="|."$dir".q|img51.png"
 ALT="\begin{figure}\centering
\scalebox{.45}{%
\input{areas8.pstex_t}}\end{figure}">|; 

$key = q/X''=jomegaL''_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="85" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img120.png"
 ALT="$ X''= j \omega L''_d$">|; 

$key = q/P_{m0}=0,5;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="77" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img21.png"
 ALT="$ P_{m0} = 0,5$">|; 

$key = q/x_1;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="20" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img150.png"
 ALT="$ x_1$">|; 

$key = q/displaystyle-R_ai_d+(omegaL''_q)i_q+E''_d;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="163" HEIGHT="35" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img107.png"
 ALT="$\displaystyle -R_ai_d + (\omega L''_q)i_q + E''_d$">|; 

$key = q/R;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img92.png"
 ALT="$ R$">|; 

$key = q/mathcal{U}=omegaLmathcal{I};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="68" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img76.png"
 ALT="$ \mathcal{U} = \omega L \mathcal{I}$">|; 

$key = q/displaystylefrac{dPsi_{1q}}{dt};MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="42" HEIGHT="52" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img87.png"
 ALT="$\displaystyle \frac{d \Psi_{1q}}{dt}$">|; 

$key = q/scalebox{.25}{includegraphics{areas_solucion_2.eps}};AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="444" HEIGHT="395" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img74.png"
 ALT="\scalebox{.25}{\includegraphics{areas_solucion_2.eps}}">|; 

$key = q/delta_{cr}=135^o;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="76" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img73.png"
 ALT="$ \delta_{cr} = 135^o$">|; 

$key = q/displaystyleP_e=frac{E'E_{red}}{X_t}operatorname{sen}delta=P_{max}operatorname{sen}delta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="223" HEIGHT="55" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img13.png"
 ALT="$\displaystyle P_e = \frac{E' E_{red}}{X_t} \operatorname{sen}\delta = P_{max} \operatorname{sen}\delta$">|; 

$key = q/omega_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="21" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img131.png"
 ALT="$ \omega_r$">|; 

$key = q/displaystyleP_e=1,5mathrm{sen}delta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="95" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img72.png"
 ALT="$\displaystyle P_e = 1,5 \mathrm{sen} \delta$">|; 

$key = q/E'angledelta;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="39" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="|."$dir".q|img1.png"
 ALT="$ E' \angle \delta$">|; 

$key = q/displaystylex_1=x_0+int_{t_0}^{t_1}f(x,tau)dtau;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="172" HEIGHT="57" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img147.png"
 ALT="$\displaystyle x_1 = x_0 + \int_{t_0}^{t_1} f(x,\tau) d\tau$">|; 

$key = q/theta_r;MSF=1.6;AAT/;
$cached_env_img{$key} = q|<IMG
 WIDTH="19" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
 SRC="|."$dir".q|img27.png"
 ALT="$ \theta_r$">|; 

1;

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