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An automatic automotive spray painting system consists of conveyors, spraying, dustand overspray extraction fans with electrostatic and water walls, finishing with bakingovens. This system is connected to a 415V, 50 Hz three phase and has been divided into three balanced loads, as follows:
LOAD 1 (STAR): 15 kVA at a power factor of 0.60 lagging;LOAD 2 (DELTA): 24 kW at a power factor of 0.55 lagging;LOAD 3 (DELTA): ZRW = ZWB = ZBR = Unknown impedance, but components are known to be balanced.
The system draws a total apparent power of 44kVA at a power factor of 0.82 lagging from the supply.
Determine:
(i) the STAR capacitance required to correct the overall supply Power Factor to 0.87 lagging.(ii) The total line current drawn from the supply before power factor correction and after.(iii) LOAD 3 apparent power.(iv) LOAD 3 impedances ZRW = ZWB = ZBR.
Consider a system equation \(s^{4}+s^{3}+s^{2}+2s+10=0\) Find its Routh Table. Determine if the system is stable , marginal stable, or unstable.
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