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A small manufacturing plant is located 2 km down a transmission line, which has a series reactance of
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Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
- Under balanced operating conditions, consider the three-phase complex power delivered by the three-phase source to the three-phase load. Match the following expressions, those on the left to those on the right. (i) Realpower, P3 (a) (3VLLIL)VA (ii) Reactive power, Q3 (b) (3VLLILsin)var (iii) Total apparent power, S3 (c) (3VLLILcos)W (iv) Complex power, S3 (d) P3+jQ3 Note that VLL is the rms line-to-line voltage, IL is the rms line current, and is the power-factor angle.arrow_forwardS.1) The serial impedance per phase of a three-phase 45 km energy transmission line is 2 + j4 / phase. A load with a power factor of cos2 = 0.8 forward is fed from the end of the line. Since the line voltage at the beginning and end of the line of the energy transmission line is wanted to be kept constant at 115 kV, a) Active and reactive powers drawn from the beginning and end of the line, b) Calculating the power consumed along the energy transmission line and the efficiency of the line. S.2) Line constants of an energy transmission line are given as A = D = 0.8746 + j0, B = 0 + j128.34, C = j0.0018316 S. At the beginning of the line, it is desired to write 1920 MW active power and 600 MVAr reactive power lines under 7650kV line voltage. According to this business, a) Calculate the line end magnitudes (U2, I2 and P2). b) What value does the end voltage take when the load fed from the end of the line is deactivated? S.3) The length of a phased energy transmission line with a…arrow_forwardA 60 Hz, three-phase transmission line is 100 miles long. It has a total seriesimpedance of {35 + j120) n and a shunt admittance of j930 μsiemen. It delivers40 MW at 220 kV with 90% lagging power factor. Find the voltage at the sendingend by:(a) short line approximation(b) the nominal rr approximation(c) the nominal T approximationAlso determine the voltage regulation for the given line and the power loss.Assume the sending end voltage remains constant. Expected Answer: (a) 237.67 kV, 1.4284 MW, 8.03%; (b) 225.8 kV, 1.1642 MW, 8.67% (c) 225.10 kV, 1.5095 MW, 8.35% Pls. Provide Full Solution for thumbs uparrow_forward
- A load impedance, Zo = 10 + j 3 ohm, is connected to a source with line resistance equal to 3 ohm, as shown in the figure. Determine the average powers delivered to the load and absorbed by the line. The average powers delivered to the load and absorbed by the line are ________ and ____________ , respectively.arrow_forwardAssuming the voltage at the utility bus is 13.5 kV and the PV plant supplies 4.8 MW of power at 0.95 power factor lagging. Draw the diagram of the system and determine i) the per-phase voltage and current at the POI at the PV plant ii) the reactive power delivered and that which is lost in the line. Assume the line is modelled as a short line.arrow_forwardConsider an ac network with an ideal transformer (with turns ratio of n:1) shown below where ZL=(1+j0) is the load impedance and Zs=(7−j24). Ideal transformer turns ratio n is chosen so that the average power delivered to the load is maximized. Under this scenario, the average power delivered to the load is given byarrow_forward
- Explain the significance of load flow analysis in power systems. How does it help in determining the steady-state operating conditions of a power network?arrow_forwardAnalyze the impact of distributed energy resources (DERs) and smart grid technologies on the modernization of power systems.arrow_forwardA two-area system connected by tie-line has the following parameters on a 1000 MVA common base Area The units are operating in parallel at the nominal frequency of 50 Hz. A load change of 200 MW occurs in area 1. Determine the new steady state frequency and the change in the tie-line flow?arrow_forward
- How do distributed energy resources (DERs) such as solar panels and wind turbines impact the operation and planning of power systems? Analyze their integration challenges.arrow_forwardA three-phase line, which has an impedance of (2+j4) per phase, feeds two balanced three-phase loads that are connected in parallel. One of the loads is Y-connected with an impedance of (30+j40) per phase, and the other is -connected with an impedance of (60j45) per phase. The line is energized at the sending end from a 60-Hz, three-phase, balanced voltage source of 1203V (rms. line-to-line). Determine (a) the current, real power. and reactive power delivered by the sending-end source: (b) the line-to-line voltage at the load: (C) the current per phase in each load: and (d) the total three-phase real and reactive powers absorbed by each load and by the line. Check that the total three- phase complex power delivered by the source equals the total three-phase power absorbed by the line and loads.arrow_forwarda short three phase transmission line connected to 33kv 50 hertz generating station at starting and is required to supply a load of 10 MW at pointed start lagging power factor at 30 KV addresses in that is the minimum transmission efficiency is to be determined96% estimate the per face value of resistance and inductance of a linearrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning