Consider a power system network with a $33$ kV $,20$MW $(0\mathrm{.}95$ power factor lagging$)$ load fed from

two parallel connected generators via a$(11)/(220)$kV substation, a $220$kV transmission line,$(220)/(33)$ kV

substation and $33$ kV distribution line; each substation has a $100$MVA transformer with an

impedance of $1\mathrm{.}9$ p$.$u$.$ referred to the secondary side. The transmission line has an impedance of

$(3\mathrm{.}5+$j$8\mathrm{.}4)\backslash$Omega while the distribution line impedance is $(2\mathrm{.}15+$j$0\mathrm{.}9)\backslash$Omega $.$

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