1. Three loads are connected in parallel across a single-phase source voltage of 240 V (RMS). Load 1 absorbs 5 kW and 4 kvar. Load 2 absorbs 3 kVA at 0.95 PF leading. Load 3 absorbs 4 kW at unity power factor. Calculate the equivalent resistance, R, and reactance, X, for the overall combined load, i.e., all three parallel loads lumped into one, for two cases: (a) series combination of R. and X, and (b) parallel combination of R. and X.

1. Three loads are connected in parallel across a single-phase source voltage of 240 V (RMS). Load 1 absorbs 5 kW and 4 kvar. Load 2 absorbs 3 kVA at 0.95 PF leading. Load 3 absorbs 4 kW at unity power factor. Calculate the equivalent resistance, R, and reactance, X, for the overall combined load, i.e., all three parallel loads lumped into one, for two cases: (a) series combination of R. and X, and (b) parallel combination of R. and X.

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 2.30P: Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source....

See similar textbooks

Similar questions

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.
Three loads connected in parallel across a 1000-V (RMS), 60-Hz single-phase source.Load 1: Inductive load, 125 kVA, 0.28PF laggingLoad 2: Capacitive load, 10 kW, 40 kVARLoad 3: Resistive load, 15 kWa) 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 isconnected in parallel with the above loads. Find the KVAR rating of that capacitor and thecapacitance in μf .c) Comment on the magnitude of the supply current after adding the capacitor
A 3-phase Y-connected load draws power from a 3-phase Y-connected source. The source voltage, ?=440∠0º?_rms and the load impedance, Z_y=(30+j15) Ω. The line impedance, Z_line= (1+j1)Ω and the system operates at 60 Hz. a) Draw the single-phase equivalent circuit and label all given quantities numerically. b) Calculatethe rms line (phase) current phasor in each phase. c) Calculate the total active or real power supplied by the source. d) Calculate the total active or real power consumed by the load. e) Calculate the total line loss i.e. the total activepower lost due to line. f) Determine the power efficiency of the system.
PLS USE 4 DECIMAL PLACES FOR THE FINAL ANSWERS An inductive reactance of 10 ohms is connected in parallel with the capacitive reactance of 30 ohms. If the combination is connected in series with a 10 ohm resistance. The given voltage is 200V. *What is the total real power of the system in magnitude with unit of kW? *What is the total real power of the system in magnitude with unit of kVAR? *What is the total impedance in polar form in ohms? *What is the total real power of the system in magnitude with unit of kVA? *What is the total current in polar form in A?
In the given circuit, the amplitude of the input voltage is 160 Volts RMS and its phase is 35 degrees.The powers given/received by the elements are given below.Accordingly, which of the following is the amplitude (absolute value, modulus) of the equivalent impedance of three parallel loads. Load 1 = 11 kW and 5 kVAR Load 2 = forward 7 kVA with 0.7 power factor Load 3 = 11 kW back with a power factor of 1.0
ANSWER IN POLAR FORM AND 2 DECIMAL In the circuit shown in Figure 1, a load having an impedance of 37 + j26 Ω is fed from a voltage source through a line having an impedance of 1 + j7 Ω. The effective, or rms, value of the source voltage is 250 V. a. Calculate the load current IL and the voltage VL (current and voltage at the load) b. Calculate the average and reactive power delivered to the load. c. Calculate the average and reactive power delivered to the line. d. Calculate the average and reactive power supplied by the source
A network is supplied by a 120 V rms, 60-Hz voltage source. An ammeter and a wattmeter indicate that 12 A rms is drawn from the source and 800 W are consumed by the network. Determine: a. The network power factor b. The network phase angle c. The network impedance d. The equivalent resistance and reactance of the network
A balanced three-phase Y-connected source with positive sequance has an internal voltage of 120 V/phase. The source feeds a balanced three-phase Y-connected load having an impedance of 39 + j28 Ω /phase. The impedance of the transmission line connecting the source to the load is 1 + j2 Ω /phase. The a-phase of the source is the reference voltage. d) Calculate the three line-to-line voltages at the terminals of the load. e) Calculate the total average power in watts delivered to the load. f) Calculate the total complex power in VA delivered by the source.
A microwave with ratings shown in Figure 2 is being supplied with a single phase 120 VAC, 60 Hz source. 1. Find the instantaneous current drawn from the source when plugged in. 2. Find the equivalent impedance of the microwave as seen by the source. 3. Find the reactive power supplied by the source and draw the power triangle showing all power components. 4. Determine the type and value of component required to be placed in parallel with the source to improve the power factor to 0.95 leading.
A Y-connected balanced three-phase source is feeding a balanced three-phase load. The voltage and current of the source coil are: Calculate the following: The rms phase voltage. The rms line-to-line voltage. The rms current in the source. The rms current in the transmission line. The frequency of the supply. The power factor at the source side, state leading or lagging. The three-phase real power delivered to the load. The three-phase reactive power delivered to the load. If the load is connected in delta configuration, calculate the load impedance.
In the given circuit, the amplitude of the input voltage is 180 Volts RMS and its phase is 45 degrees.The power values that the loads receive/give are given below.What is the phase of the current phasor I0?Load 1 = 1.8 kW and capacitive 1.2 kVAR8 kW with load 2 = 0.5 back power factorLoad 3 = 3 kVA with 0.9 forward power factor
A balanced three-phase 60Hz abc systems feeds two delta connected loads in parallel. Load 1 draws 40 kVA (Apparent Power) at a lag pf of 0.8, while load 2 absorbs 24 kW (average power) at a lag pf of 0.9. The line-to-line voltage at the loads, between phase A and B, is VAB = 440 angle 30 V rms. Find: a) The phase current IAB1 for load 1. b) The power factor of the combined loads. Thank you for your assistance.