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Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of
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Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
- A three-phase line with an impedance of (0.2+j1.0)/ phase feeds three balanced three-phase loads connected in parallel. Load 1: Absorbs a total of 150 kW and 120 kvar. Load 2: Delta connected with an impedance of (150j48)/phase. Load 3: 120 kVA at 0.6 PF leading. If the line-to-neutral voltage at the load end of the line is 2000 v (rms), determine the magnitude of the line-to-line voltage at the source end of the line.arrow_forwardA 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.arrow_forwardA three-phase line has an impedance of 0.1+j0.8 Ω/ϕ. The line feeds two balanced three-phase loads connected in parallel. The first load is absorbing a total of 630 kW and absorbing 840 kVAR magnetizing vars. The second load is Y-connected and has an impedance of 15.36−j4.48 Ω/ϕ. The line-to-neutral voltage at the load end of the line is 4000 V. What is the magnitude of the line voltage at the source end of the line?arrow_forward
- A balanced Δ connected load with impedance 63 + j216 Ω/Ø 50∠0 ° Ω/Ø It is connected in parallel to a balanced Y-connected load with impedance. Parallel loads have an impedance of 1 + j3 Ω/Ø fed from one line. Y the magnitude of the connected load from line to neutral is 750 V a) Calculate the magnitude of the current in the line feeding the loads? b) Calculate the magnitude of the phase voltage at the sending end of the line? c) Find the total apparent, average and reactive powers provided by the sources?.arrow_forwardA three-phase line feeds two balanced three-phase loads connected in parallel. The first Y load consumes a total of 630,000 W at 0.6 power factor lagging. The second in Δ it has an impedance per phase of 46.08 – j 13.44 Ω. The line-to-line voltage at the end of the loads corresponds to 6920 Vrms, negative sequence. Find the total line current and power total complex absorbed by the two-charge system.arrow_forwardA 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.arrow_forward
- Two balanced three-phase loads that are connected in parallel are fed by a three-phase line having a series impedance of ZL = (0:4 + j2:7) Ω 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 atthe load end of the line is 2; 200p3 V. 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.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-phasecomplex power absorbed by the line and loads.arrow_forwardPROBLEM 1. A three-phase transmission line is 100 km long. Its parameters are: z= (0.08 + j0.45) Ω/km y=j5 μS/km At the generating end it has a voltage of 115 kV L-L, and it is delivering a real power of PS= 51 MW and a reactive power of QS=31.6 MVARS. a. Find the parameters A,B,C and D. b. Determine the voltage and current at the receiving end. C. Calculate the regulation of the load node.arrow_forwardA 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. 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.arrow_forward
- A 50 Hz, 250 V single phase power line has the following loads placed across it in parallel; 4 kW ata pf of 0. 8 lagging; 6 kVA at a pf of 0.6 lagging; 5 kVA which includes 1.2 kVAR leading. Determinethe overall pf of the system and the capacitance of the capacitor which, if connected across themains restore the power factor to unity.arrow_forwardFast Answer please A balanced ∆ connected load with impedance 63 + j216 Ω⁄∅ 50∠0° Ω⁄∅It is connected in parallel to a balanced Y-connected load with impedance. Parallel loads have an impedance of 1 + j3 Ω⁄∅fed from one line. Y the magnitude of the connected load from line to neutral is 750 V.a) Calculate the magnitude of the current in the line feeding the loads?b) Calculate the magnitude of the phase voltage at the sending end of the line?c) The total apparent, average and reactive powers provided by the sources areA balanced ∆ connected load with impedance 63 + ?216 Ω⁄∅ 50∠0° Ω⁄∅It is connected in parallel to a balanced ?-connected load with impedance. Parallel loads have an impedance of 1 + j3 Ω⁄∅fed from one line. Y the magnitude of the connected load from line to neutral is 750 V.a) Calculate the magnitude of the current in the line feeding the loads?b) Calculate the magnitude of the phase voltage at the sending end of the line?c) The total apparent, average and reactive powers…arrow_forwardThe following three parallel-connected three-phase loads are fed by a balanced three-phase source: Load 1: 250 kVA, 0.8 pf lagging Load 2: 300 kVA, 0.95 pf leading Load 3: 450 kVA, unity pf If the line voltage is 13.8 kV, calculate the line current and the power factor of the source. Assume that the line impedance is zero.arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning