A Δ-connected, 60−Hz, balanced, 3ϕ, positive-sequence voltage source is connected to a Δ-connected, symmetric 3ϕ load via a non-ideal transmission line. The line-line voltage magnitude of the source is 480VRMS. The series impedance of each phase of the transmission line is 0.1+j1.5Ω. The impedance of each leg of the load is 3+j6Ω. a. What is the total, 3ϕ complex power consumed by the load. b. What are the total active power losses (all three phases) in the transmission line?

A Δ-connected, 60−Hz, balanced, 3ϕ, positive-sequence voltage source is connected to a Δ-connected, symmetric 3ϕ load via a non-ideal transmission line. The line-line voltage magnitude of the source is 480VRMS. The series impedance of each phase of the transmission line is 0.1+j1.5Ω. The impedance of each leg of the load is 3+j6Ω. a. What is the total, 3ϕ complex power consumed by the load. b. What are the total active power losses (all three phases) in the transmission line?

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 2.14MCQ: The instantaneous power absorbed by the load in a single-phase ac circuit, for a general R LC load...

See similar textbooks

Similar questions

(e) The load in milling factory is having active and reactive power of 100 kW and 59.33 kVAr, respectively at voltage supply of 415 V. A capacitor bank system (PFC) with voltage rating 515 V is to be installed with the target to increase the power factor to 95%. The PFC has the step arrangement of 1:1:2:2:3:3 with 5 kVAr for each capacitor unit. (i) Analyse the average power factor and the minimum effective reactive power, Os injected into supply system. (ii) Examine the effective reactive power, Qceff to be supplied by capacitor bank and the total unit steps of power factor corrector to be (iii) Estimate the actual average power factor for the system based on the unit step recommended in Q(e)(ii). (iv) Justify the implication of total unit steps of power factor corrector if 3.3kVAr per unit of capacitor is to be used in the factory.
5. A substation receives 4,500 kW power at 0.9 p.f. lag. at 10 kV from a generating station over a transmission line of impedance 6+j20 ohms/phase. Identical transformer of 30/10 kV ratio are installed at each end of the line, the transmission line voltage is 30 kV. The equivalent impedance of each transformer on HV side is 2 + j8 ohms/phase. What is the voltage at the generating station busbars?
Three Impedances each of (8 - j24)2 are connected in mesh across a three-phase 420V ac supply. Determine the phase current, line current, active power, reactive power drawn from supply. Also draw the Phasor diagram for the mesh connection and marks the Line current ,phase current line voltage and phase angle between phase current and pahse voltage. phase current (Ip) Line current real power reactive power
The length of a three-phase power transmission line with a nominal operating voltage of 69 kV is 16km. The impedance of the transmission line per unit length is 0.125 + j0.4375 ohm/ km. At the end of the line, a 70 MVA star connected load with a power factor of 0.8 back under 69 kV interphase voltage is fed. Capacitive circuit element with a capacitance of 19.14 mikro F / phase is placed as shunt at the end of the transmission line. According to these given; a) Line head voltage and current, b) Calculate the active and reactive power per line.
The sending-end voltage in the circuit seen is adjusted so that the load voltage is always 13,800 V(rms). The variable capacitor is adjusted until the average power dissipated in the line resistance is minimum. 1. a) If the frequency of the sinusoidal source is 60 Hz, what is thevalue of the capacitance in microfarads?2. b) If the capacitor is removed from the circuit, what percentageincrease in the magnitude of Vs is necessary to maintain 13,800V(rms) at the load?3. c) If the capacitor is removed from the circuit, what is thepercentage increase in line loss?
An 11kV, three phase transmission line has a resistance of 2 ohm and reactance of 4 ohm per phase. The efficiency of the line when supplying a load of 4MW at 0.8 lagging power factor is nearly .. Select one: O a. 97.8 % O b. 90.6 % OC.95.4 % O d.99.2 %
Three impedances (4-j6) ohm, (6+j8) ohm, and (5-j3) ohms are connected in parallel. Calculate the current in each branch when the total supply current is 20 A. Please provide its solution...its urgently needed...please.
It is required to connect Aktif and capacitive reactive mechanical meters that will measure the electrical energy used in a stone crushing quarry that consumes more than 50KVA. Show the connection diagram of these meters to the three-phase line coming from the network by drawing a figure.
Three Impedances each of (12 – j20)Q are connected in mesh across a three-phase 415V ac supply. Determine the phase current, line current, active power, reactive power drawn from supply. Also draw the Phasor diagram for the mesh connection and marks the Line current ,phase current line voltage and phase angle between phase current and pahse voltage phase current (Ip) Line current real power reactive power
There is an installation with two equal triphasic loads of 300 kVA each and a power factor of 0.9 lagging. When connecting a pure reactive element in parallel, the reactive power at the entrance of the installation is 150 kVARS, with a lagging power factor. We can say that: a) A bank of reactors was connected and the fp deteriorated. b) A capacitor bank was connected and the pf deteriorated. c) A bank of reactors was connected and the fp improved. d) A capacitor bank was connected and the pf improved. e) None of the above
Unless given, use the: POLAR FORM for voltage and current, RECTANGULAR FORM for impedance. Consider the following circuit, supplied by a 500mARMS current source with a 30° phase shift (i.e. Isource=500230⁰ mA). R1 L1 320 mH C1 16 μF a. What is the total impedance of the circuit? b. What is the voltage drop on the 100-ohm resistor, R1? c. Is the circuit inductive, capacitive, or neither (resistive)? d. Draw the phasor diagram of the voltage and current at R1. e. What is the total power (apparent) delivered by the current source? f. Draw the phasor diagram of the voltage and current at the source. 11 sine 50 Hz 100 ell
Two impedances consist of resistance of (15 ohms and series connectedinductance of 0.04 henry) and (resistance of 10 ohms, inductance of 0.1 henryand a capacitance of 100 microfarad, all in series) are connected in series andare connected to 230 volts, 50 – Hz AC source. Find: (a) current drawn, (b) voltageacross each impedance, (c) individual and total power factor. Draw the phasordiagram.