Load 1: A Y-connected 40 kVAR motor at 0.8 lagging power factor. Load 2: A A-connected 100kW induction motor at 0.75 lagging power factor. Generator 480V Figure 1 Load 1 Wye- Connected Load 2 Delta- Connected From the given info, calculate; ) The total real, reactive and apparent power taken from the supply source by all the loads. i) The phase current for load 1, load 2 and the total line current of the supply source. ii) The overall power factor of the system.

Load 1: A Y-connected 40 kVAR motor at 0.8 lagging power factor. Load 2: A A-connected 100kW induction motor at 0.75 lagging power factor. Generator 480V Figure 1 Load 1 Wye- Connected Load 2 Delta- Connected From the given info, calculate; ) The total real, reactive and apparent power taken from the supply source by all the loads. i) The phase current for load 1, load 2 and the total line current of the supply source. ii) The overall power factor of the system.

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 2.44P: Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a...

See similar textbooks

Similar questions

A source supplies power to the following three loads connected in parallel: (1) a lighting load drawing 10kW. (2) an induction motor drawing 10kVA at 0.90 power factor lagging, and (3) a synchronous motor operating at 10hp,85 effIciency and 0.95 power factor leading (1hp=0.746kW). Determine the real, reactive, and apparent power delivered by the source. Also, draw the source power triangle.
Two balanced Y-connected loads, one drawing 10 kW at 0.8 power factor lagging and the other IS kW at 0.9 power factor leading, are connected in parallel and supplied by a balanced three-phase Y-connected, 480-V source. (a) Determine the source current. (b) If the load neutrals are connected to the source neutral by a zero-ohm neutral wire through an ammeter, what will the ammeter read?
A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and L=40mH. (a) Determine the power factor of the circuit and state whether it is lagging or leading. (b) Determine the real and reactive power absorbed by the load. (c) Calculate the peak magnetic energy Wint stored in the inductor by using the expression Wint=L(Irms)2 and check whether the reactive power Q=Wint is satisfied. (Note: The instantaneous magnetic energy storage fluctuates between zero and the peak energy. This energy must be sent twice each cycle to the load from the source by means of reactive power flows.)
For the circuit element of Problem 2.3, calculate (a) the instantaneous power absorbed, (b) the real power (state whether it is delivered or absorbed). (c) the reactive power (state whether delivered or absorbed). (d) the power factor (state whether lagging or leading). [Note: By convention the power factor cos() is positive. If | | is greater than 90, then the reference direction for current may be reversed, resulting in a positive value of cos() ].
Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source. Load 1: Inductive load, 125kVA,0.28PF lagging. Load 2: Capacitive load, 10kW,40kvar. Load 3: Resistive load, 15kW. (a) Determine the total kW, kvar, kva, and supply power factor. (b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in F. Comment on the magnitude of the supply current after adding the capacitor.
Consider a three-phase Y-connected source feeding a balanced- load. The phasor sum of the line currents as well as the neutral current are always zero. (a) True (b) False
The total instantaneous power delivered by a three-phase generator under balanced operating conditions is (a) A function of time (b) A constant
Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of (0.4j2.7) per phase. One of the loads absorbs 560 kVA at 0.707 power factor lagging, and the other 132 kW at unity power factor. The line-to-line voltage at the load end of the line is 2203V. Compute (a) the line-to-line voltage at the source end of the line. (b) the total real and reactive power losses in the three-phase line, and (c) the total three-phase real and reactive power supplied at the sending end of the line. Check that the total three-phase complex power delivered by the source equals the total three-phase comp lex power absorbed by the line and loads.
The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.
Consider the following power system model with the following entities:i. A generator generates a sinusoidal waveform with amplitude of 300 V and angular frequency of 5 radians,ii. The transmission line has a resistance of 1Ω, andiii. A capacitive load with a value of 2F presents at the end of the system. Answer the following questions:(a) Draw the relevant diagram and label all entity values of the power system as described above.(b) Replacing the real source in Figure from part (a) with a complex source, find the response of the steady-state capacitor voltage in time-domain.(d) Repeat the sub-question (a) above, now showing calculations in s-domain.
Consider the following power system model with the following entities:i. A generator generates a sinusoidal waveform with amplitude of 300 V and angular frequency of 5 radians,ii. The transmission line has a resistance of 1Ω, andiii. A capacitive load with a value of 2F presents at the end of the system. Answer the following questions:(a) Draw the relevant diagram and label all entity values of the power system as described above.(b) Replacing the real source in Figure from part (a) with a complex source, find the response of the steady-state capacitor voltage in time-domain.(c) Repeat the sub-question (a) above, now showing calculations in frequency-domain.(d) Repeat the sub-question (a) above, now showing calculations in s-domain.
A 3 phase synchronous generator has a synchronous reactance Xs of 9 Ω perphase, a no-load line to neutral AC voltage E of 12 kV and a line to line terminalvoltage of V of 17.3 kV.(a) Derive the formula for the 3 phase power produced by the generator in terms ofthe power angle δm, |V |, |E|, and Xs. (δm is the angle between E and V ).(b) The power angle δm = 30 degrees. Calculate the 3 phase real power delivered to thegrid at the terminals of the generator.(c) The real power increases when the power angle δm increases, but there is amaximum possible theoretical power that the generator can produce. Calculate themaximum 3 phase real power. Solve A-C