Question One

sep$=(\backslash$Delta v$)/(\backslash$Delta f$)$

f$\_(4)$f$\_(3)=60$sH$\_(3)$

S$\_($D$\_(0))=7\%$

S$\_($S$\_(3))=2\mathrm{.}6\%$

Three physically connected synchronous generators are operating in parallel. They are all rated

for a full load of $3$ MW at $0\mathrm{.}78$ pf lagging. The no$-$load frequency of generator A is $61$ Hz $,$ and its

speed droop of $3\mathrm{.}4\%.$ The no$-$load frequency of Generator B is $61\mathrm{.}5$ Hz $,$ and its speed droop is

$3\%$; the no$-$load frequency of generator C is $60\mathrm{.}5$ Hz $,$ and its speed droop is $2\mathrm{.}6\%.$

$($i$)$ If a total load consisting of $7$MW is being supplied by this power system, what will the

system frequency be and how will the power be shared among the three generators?

$($ii$)$ Is this power sharing acceptable? Why or why not?

$($iii$)$ What actions could an operator take to improve the real power sharing between these

generators?