Three balanced 3 phase loads are connected in parallel. Load 1 is Y–connected with an impedance of 400 + j300Ω/φ, Load 2 is ∆–connected with an impedance of 2400 −j1800Ω/φ and Load 3 is rated at 172.8 + j2203.2kVA. The loads are fed from a distribution line with an impedance of 2 + j16Ω/φ. Magnitude of line–to–neutral voltage at the load end of the line is 24√3 kV. The frequency of operation is 50Hz. (d) Calculate the compensation capacitor values connected line–to–neural at the load end of the system so that power factor satisfies pf ≥ 0.98 at the load end. (e) What if the capacitors are connected line–to–line? Which would be the better choice for the compensation, Y or ∆ connected capacitors? Explain. (f) What is the power factor at the sending end of the line?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.52P: A balanced three-phase load is connected to a 4.16-kV, three-phase, fourwire, grounded-wye dedicated...
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Three balanced 3 phase loads are connected in parallel. Load 1 is Y–connected with an impedance of 400 + j300Ω/φ, Load 2 is ∆–connected with an impedance of 2400 −j1800Ω/φ and Load 3 is rated at 172.8 + j2203.2kVA. The loads are fed from a distribution line with an impedance of 2 + j16Ω/φ. Magnitude of line–to–neutral voltage at the load end
of the line is 24√3 kV. The frequency of operation is 50Hz.
(d) Calculate the compensation capacitor values connected line–to–neural at the load end of the system so that power factor satisfies pf ≥ 0.98 at the load end.
(e) What if the capacitors are connected line–to–line? Which would be the better choice for the compensation, Y or ∆ connected capacitors? Explain.
(f) What is the power factor at the sending end of the line?
(g) Calculate percentage of the average power at the sending end of the line that is delivered to loads.

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