Question # $05(20)$ A DC shunt generator $(20$ kW$,200$ V$,1800$ rpm$)$ has Ra$=0\mathrm{.}1$R$\_$a $=0\mathrm{.}1\backslash ,\backslash$OmegaRa$=0\mathrm{.}1,$ Rw$=150$R$\_$w $=150\backslash ,\backslash$OmegaRw$=150.$ Assume that Ea$=$VtE$\_$a $=$ V$\_$tEa$=$Vt$$ at no load. Data for the magnetization curve at $1800$ rpm are: IfI$\_$fIf$($A$)0\mathrm{.}00\mathrm{.}1250\mathrm{.}250\mathrm{.}50\mathrm{.}6250\mathrm{.}750\mathrm{.}8751\mathrm{.}01\mathrm{.}251\mathrm{.}5$EaE$\_$aEa$($V$)533\mathrm{.}567134160175190200214223$ The machine is self$-$excited. $($a$)$ Determine the maximum generated voltage. $($b$)$ At full$-$load condition, Vt$=$VtV$\_$t $=$ V$\_$tVt$=$Vt$($rated$),$ Ia$=$IaI$\_$a $=$ I$\_$aIa$=$Ia$($rated$),$ If$=1\mathrm{.}25$ AI$\_$f $=1\mathrm{.}25\backslash ,\backslash$text$\{$A$\}$If$=1\mathrm{.}25$A$.$ Determine the value of the field control resistance $($RcR$\_$cRc$).($c$)$ Determine the electromagnetic power and torque developed at full$-$load condition. The shunt generator is now connected as a long shunt compound generator. $($a$)$ Show the generator connection. $($b$)$ Determine the number of turns per pole of the series field winding required to make the no$-$load and full$-$load terminal voltage Vt$=200$ VV$\_$t $=200\backslash ,\backslash$text$\{$V$\}$Vt$=200$V$.$ Rsr$=0\mathrm{.}04$R$\_\{$sr$\}=0\mathrm{.}04\backslash ,\backslash$OmegaRsr$=0\mathrm{.}04$ and Nf$=1200$ turns$/$poleN$\_$f $=1200\backslash ,\backslash$text$\{$turns$/$pole$\}$Nf$=1200$turns$/$pole$.($Assume the effective field amperes due to armature effect is $0\mathrm{.}09$ A$)$