The figure below shows a single-phase load being fed by a voltage source through a transmission line. The impedance of the line is represented by the (4+j2) 2 impedance and a return path. Find the active power absorbed/supplied by: (a) the source, (b) the line, and (c) the load. j22 ww m 15 Q 220/0° V rms ブ102 Source Line Load O (a)-2163.1 W, (b) 455.4 W, and (c) 1707.7 W O (a) 2163.1 VA, (b) 455.4 VA, and (c) 1707.7 VA O (a) -2163.1 kW, (b) 455.4 kW, and (c) 1707.7 kW O (a) 2163.1 W, (b) 455.4 W, and (c) 1707.7 W (a) -2163.1 VA, (b) 455.4 VA, and (c) 1707.7 VA

The figure below shows a single-phase load being fed by a voltage source through a transmission line. The impedance of the line is represented by the (4+j2) 2 impedance and a return path. Find the active power absorbed/supplied by: (a) the source, (b) the line, and (c) the load. j22 ww m 15 Q 220/0° V rms ブ102 Source Line Load O (a)-2163.1 W, (b) 455.4 W, and (c) 1707.7 W O (a) 2163.1 VA, (b) 455.4 VA, and (c) 1707.7 VA O (a) -2163.1 kW, (b) 455.4 kW, and (c) 1707.7 kW O (a) 2163.1 W, (b) 455.4 W, and (c) 1707.7 W (a) -2163.1 VA, (b) 455.4 VA, and (c) 1707.7 VA

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 2.17P: Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a)...

See similar textbooks

Similar questions

Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a) Develop an expression for the reactive power Q in terms of ,L, and I, from complex power considerations. (b) Let the instantaneous current be i(t)=2Icos(t+). Obtain an expression for the instantaneous power p(t) into L, and then express it in terms of Q. (c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.
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.
A transmission line with impedance of 0.085 + j 0.32 Ω is used to deliver power to a load. The load is inductive and the load voltage is 200∠0° Vrms at 60Hz. If the load operates at 20 kVA with a power factor of 0.75 determine the real and quadrature power losses in both the load and the line and the source voltage phasor.
a) You have been employed as an electrical engineer by a power transmission company to design a short transmission line to supply power to a light-industrial load consumer with power system specification as follows, a 3-ph, 60Hz overhead short transmission line with a line-to-line voltage of 23KV at the load end, line impedance of 2.48 ±j6.57Ω/phase, the industry has a cumulative consumption of 9MW with a power factor of 0.85 of lagging as a result of several induction motor on its production lines.As part of the regulations for connections to the grid, you are to provide justifications and values to the Energy Commission of Ghana.(i) What would be value of the voltage between the live conductor and the neutral, between live and live voltages at the industrial premises of the factory?(ii) What load angle would expect the factory to be operating at?
A circuit branch is found to have an equivalent impedance of Z=120−j45Ω. It is given that this impedance is a series combination of a 120Ω resistor and another passive component. If the circuit has a sinusoidal voltage source whose frequency is 120 Hz. What is the value of the component in series with the 120Ω resistor? (Note: Express the value assuming a metric scaling of μ(10-6). Provide your answer in decimal form, up to 3 decimal places.)
1. a) Determine the load impedance for the circuit shown that will result in maximum average power being transferred to the load if ω=10 krad/s.2. b) Determine the maximum average power delivered to the loadfrom part (a) if vg=120cos10,000t V.3. c) Repeat part (b) when ZL. consists of two components fromAppendix H whose values yield a maximum average power closestto the value calculated in part (a).
1. Solve for the equivalent impedance and admittance seen at the source. Solve for is(t). 2. A load Z draws 12 kVA at a power factor of 0.856 lagging from a 120-Vrms sinusoidal source. Calculate: (a) the average and reactive powers delivered to the load, and (b) the peak current.
In the circuit below, a generator is connected to a load via a transmission line. Given that Rs = 10 Ω, Zline= (4 + j2) Ω, and Zload = (40 + j30) Ω: (a) Determine the power factor of the load, the power factor of the transmission line, and the power factor of the voltage source. (hint: pf can be calculated using the equation below, and θv, θi, θz are the phase angles of the voltage, current and the load impedance, respectively) (b) Specify the capacitance of a shunt capacitor C that would raise the power factor of the source to unity when connected between terminals (a, b). The source frequency is 60 Hz. (hint: increasing the source pf to unity requires that Zab = Zc || (Zline + Zload) be purely real.)
Problem : The industrial load requires 40 kW with a power factor of 0.84 leading. The load voltage is 220 Vrms at 60 Hz, and the transmission line impedance is 0.1 + j0.25Ω. Calculate the active and reactive power losses on the transmission line and determine the required active and reactive power at the input end of the transmission line. The answer given : Pline=4.685 kW, Qline=11.713 kvar, PS=44.685 kW, QS=37.55 kvar and I want to know the concept of 'Complex Power'.
A series circuit of RLC with following parameters, R=15 ohm, L=20 m H & C=100 micro Farad. VT=169.7 sin (337t-30) Volt. Find the following: Zt, , It, Voltage across each element, Power factor, apparent power, real or average power and reactive power and the total phasor diagram and power phasor diagram
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.
Understand ac power concepts, their relationships to one another, and how to calculate them in a circuitA load consisting of a 1.35 kΩ resistor in parallel with a 405 mH inductor is connected across the terminals of a sinusoidal voltage source vg, where vg = 90 cos 2500t V. Find 1. a) the average power delivered to the load,2. b) the reactive power for the load,3. c) the apparent power for the load, and4. d) the power factor of the load.