A medium-rise building with inductive loads has an average consumption of 40 kW and 26 KVAR. At the area where the building is located, the electric utility imposes a surcharge (or additional payment, in %) based on the power factor of the load. The utility uses the table below to determine the surcharge. Power factor Surcharge 90 to 100% None 88 to <90% 2% 85 to <88% 4% 80 to <85% 9% 75 to <80% 16% 70 to < 75% 24% 65 to < 70% 34% 60 to 65% 44% 55 to <60% 57% 50 to <55% 72% Less than 50% 80% The building is supplied by a 230 Vrms source. a. What is the average current (in Arms) drawn by the building? b. What is the effective impedance of the building? c. What will be the surcharge (in %) to be imposed on the building? The building occupants are planning to avoid the additional cost by installing a capacitor (to be connected in parallel with the building) for localized reactive power production. The target is to reduce the surcharge to 0%. d. What is the minimum kVAR the capacitor should produce to meet the target?

Power System Analysis and Design (MindTap Course List)
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Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.22P: The real power delivered by a source to two impedances, Z1=4+j5 and Z2=10 connected in parallel, is...
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A medium-rise building with inductive loads has an average consumption of 40 kW and 26
KVAR. At the area where the building is located, the electric utility imposes a surcharge (or
additional payment, in %) based on the power factor of the load. The utility uses the table below
to determine the surcharge.
Power factor
Surcharge
90 to 100%
None
88 to <90%
2%
85 to <88%
4%
80 to <85%
9%
75 to <80%
16%
70 to < 75%
24%
65 to < 70%
34%
60 to 65%
44%
55 to <60%
57%
50 to <55%
72%
Less than 50%
80%
The building is supplied by a 230 Vrms source.
a. What is the average current (in Arms) drawn by the building?
b. What is the effective impedance of the building?
c. What will be the surcharge (in %) to be imposed on the building?
The building occupants are planning to avoid the additional cost by installing a capacitor (to be
connected in parallel with the building) for localized reactive power production. The target is to
reduce the surcharge to 0%.
d. What is the minimum kVAR the capacitor should produce to meet the target?
Transcribed Image Text:A medium-rise building with inductive loads has an average consumption of 40 kW and 26 KVAR. At the area where the building is located, the electric utility imposes a surcharge (or additional payment, in %) based on the power factor of the load. The utility uses the table below to determine the surcharge. Power factor Surcharge 90 to 100% None 88 to <90% 2% 85 to <88% 4% 80 to <85% 9% 75 to <80% 16% 70 to < 75% 24% 65 to < 70% 34% 60 to 65% 44% 55 to <60% 57% 50 to <55% 72% Less than 50% 80% The building is supplied by a 230 Vrms source. a. What is the average current (in Arms) drawn by the building? b. What is the effective impedance of the building? c. What will be the surcharge (in %) to be imposed on the building? The building occupants are planning to avoid the additional cost by installing a capacitor (to be connected in parallel with the building) for localized reactive power production. The target is to reduce the surcharge to 0%. d. What is the minimum kVAR the capacitor should produce to meet the target?
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