Question 4.44: A load of 20 kW at 230 V is supplied by a compound D C gener...

A load of 20 kW at 230 V is supplied by a compound D C generator. If the series, shunt field and armature resistances are 0.05,115 and 0.1 ohm respectively. Calculate the generated e m f when the generator is connected as long shunt.

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\begin{array}{l} \\\begin{aligned}\text { Load } &=20 kW =20 \times 10^{3} W \\V &=230 V ; R_{a}=0.1 \Omega ; R_{s e}=0.05 \Omega ; R_{s h}=115 \Omega \\\text { Line current ,}I_{L} &=\frac{20 \times 10^{3}}{230}=86 \cdot 96 A\end{aligned}\\\text { Shunt field current, } \quad I_{s h}=\frac{V}{R_{s h}}=\frac{230}{115}=2 A\\\text { Armature current, } \quad I_{a}=I_{L}+I_{s h}=86.96+2=88.96 A\\\begin{aligned}\text { Generated emf, } \quad E_{g} &=V+I_{a} R_{a}+I_{a} R_{s e} \\&=230+88.96 \times 0.1+88.96 \times 0.05 \\&=243.3V \end{aligned}\end{array}

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