Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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Chapter 2, Problem 2.29P
To determine
The value of complex power
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A 3-ph, double circuit O.H.T.L, 420 kV, 350 km, 50 Hz has a configuration as shown in the figure below where each phase in the double circuit has a double bundle with a spacing of 24 cm between the two conductors in the bundle
Each conductor in the bundle has a diameter of 0.115 ft and a geometric mean radius (Ds = 1.7 cm). Calculate: [10]
1- Inductance per phase per km and total inductive reactance of this T.L.
2- Capacitance per phase per km and total capacitive reactance of this T.L.
3- Total charging current.
4- Total MVAR generated by the capacitive effect.
5- This T.L. is required to supply 260MVA at 0.85 lag P.f. at 420 kV, assuming that this load is divided equally between these two circuits, find the voltage drop across this T.L (ignore capacitive effect in the calculation).
Describe the concept of FACTS (Flexible AC Transmission Systems) devices and their applications in enhancing power system performance.
Two very long parallel conducting wires carry currents I1 = 1 A, I2 = 2 A in opposite directions. They hang horizontally from pylons by pairs of insulating cables, each of length a = 1 m, and are a distance d << a apart. The wires have mass m per unit length and the cables make angle theta to the vertical. Find theta.
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Chapter 2 Solutions
Power System Analysis and Design (MindTap Course List)
Ch. 2 - The rms value of v(t)=Vmaxcos(t+) is given by a....Ch. 2 - If the rms phasor of a voltage is given by V=12060...Ch. 2 - If a phasor representation of a current is given...Ch. 2 - Prob. 2.4MCQCh. 2 - Prob. 2.5MCQCh. 2 - Prob. 2.6MCQCh. 2 - Prob. 2.7MCQCh. 2 - Prob. 2.8MCQCh. 2 - Prob. 2.9MCQCh. 2 - The average value of a double-frequency sinusoid,...
Ch. 2 - The power factor for an inductive circuit (R-L...Ch. 2 - The power factor for a capacitive circuit (R-C...Ch. 2 - Prob. 2.13MCQCh. 2 - The instantaneous power absorbed by the load in a...Ch. 2 - Prob. 2.15MCQCh. 2 - With generator conyention, where the current...Ch. 2 - Consider the load convention that is used for the...Ch. 2 - Prob. 2.18MCQCh. 2 - The admittance of the impedance j12 is given by...Ch. 2 - Consider Figure 2.9 of the text, Let the nodal...Ch. 2 - The three-phase source line-to-neutral voltages...Ch. 2 - In a balanced three-phase Y-connected system with...Ch. 2 - In a balanced system, the phasor sum of the...Ch. 2 - Consider a three-phase Y-connected source feeding...Ch. 2 - For a balanced- load supplied by a balanced...Ch. 2 - A balanced -load can be converted to an...Ch. 2 - When working with balanced three-phase circuits,...Ch. 2 - The total instantaneous power delivered by a...Ch. 2 - The total instantaneous power absorbed by a...Ch. 2 - Under balanced operating conditions, consider the...Ch. 2 - One advantage of balanced three-phase systems over...Ch. 2 - While the instantaneous electric power delivered...Ch. 2 - Given the complex numbers A1=630 and A2=4+j5, (a)...Ch. 2 - Convert the following instantaneous currents to...Ch. 2 - The instantaneous voltage across a circuit element...Ch. 2 - For the single-phase circuit shown in Figure...Ch. 2 - A 60Hz, single-phase source with V=27730 volts is...Ch. 2 - (a) Transform v(t)=75cos(377t15) to phasor form....Ch. 2 - Let a 100V sinusoidal source be connected to a...Ch. 2 - Consider the circuit shown in Figure 2.23 in time...Ch. 2 - For the circuit shown in Figure 2.24, compute the...Ch. 2 - For the circuit element of Problem 2.3, calculate...Ch. 2 - Prob. 2.11PCh. 2 - The voltage v(t)=359.3cos(t)volts is applied to a...Ch. 2 - Prob. 2.13PCh. 2 - A single-phase source is applied to a...Ch. 2 - Let a voltage source v(t)=4cos(t+60) be connected...Ch. 2 - A single-phase, 120V(rms),60Hz source supplies...Ch. 2 - Consider a load impedance of Z=jwL connected to a...Ch. 2 - Let a series RLC network be connected to a source...Ch. 2 - Consider a single-phase load with an applied...Ch. 2 - A circuit consists of two impedances, Z1=2030 and...Ch. 2 - An industrial plant consisting primarily of...Ch. 2 - The real power delivered by a source to two...Ch. 2 - A single-phase source has a terminal voltage...Ch. 2 - A source supplies power to the following three...Ch. 2 - Consider the series RLC circuit of Problem 2.7 and...Ch. 2 - A small manufacturing plant is located 2 km down a...Ch. 2 - An industrial load consisting of a bank of...Ch. 2 - Three loads are connected in parallel across a...Ch. 2 - Prob. 2.29PCh. 2 - Figure 2.26 shows three loads connected in...Ch. 2 - Consider two interconnected voltage sources...Ch. 2 - Prob. 2.35PCh. 2 - Prob. 2.36PCh. 2 - Prob. 2.37PCh. 2 - Prob. 2.38PCh. 2 - Prob. 2.39PCh. 2 - A balanced three-phase 240-V source supplies a...Ch. 2 - Prob. 2.41PCh. 2 - A balanced -connected impedance load with (12+j9)...Ch. 2 - A three-phase line, which has an impedance of...Ch. 2 - Two balanced three-phase loads that are connected...Ch. 2 - Two balanced Y-connected loads, one drawing 10 kW...Ch. 2 - Three identical impedances Z=3030 are connected in...Ch. 2 - Two three-phase generators supply a three-phase...Ch. 2 - Prob. 2.48PCh. 2 - Figure 2.33 gives the general -Y transformation....Ch. 2 - Consider the balanced three-phase system shown in...Ch. 2 - A three-phase line with an impedance of...Ch. 2 - A balanced three-phase load is connected to a...Ch. 2 - What is a microgrid?Ch. 2 - What are the benefits of microgrids?Ch. 2 - Prob. CCSQCh. 2 - Prob. DCSQ
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- Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in Figure 2.27. (a) Obtain expressions for P12 and Q12. (b) Determine the maximum power transfer and the condition for it toarrow_forwardA lossy capacitor Cx, rated for operation of 5 kV, 50 Hz is represented by an equivalent circuit with an ideal capacitor Cp in parallel with a resistor Rp. Cp is 0.102 microF and Rp=1.25 Mohm. The power loss, and loss tangent of this lossy capacitor at rated voltage respectively ?arrow_forward(b) A 3-phase, 50 Hz, 132 kV overhead line of length 150 km has conductors placed in ahorizontal plane. The diameter of the conductors is 20 mm and assume completetransposition arrangement is applied. (i) Analyse the charging current per phase when the conductors spacing are set at 4 m (ii) Investigate the range of conductor spacing that should be chosen in order to reducethe magnitude of the charging current per phase in Q2 (b)(i) by 5% or more.arrow_forward
- Discuss the significance of FACTS (Flexible AC Transmission Systems) devices in enhancing power system stability.arrow_forwardDiscuss the concept of FACTS (Flexible AC Transmission Systems) devices and their role in enhancing power system stability and control.arrow_forwardAn overhead line has the following data: Span length 160 metres, conductor diameter 0.95 cm, weight per unit length of the conductor 0.65 kg/metre. Ultimate stress 4250 kg/cm², wind pressure 40 kg/m² of projected area. Factor of safety 5.arrow_forward
- Discuss the role of FACTS (Flexible Alternating Current Transmission Systems) devices in power system control and optimization.arrow_forwardTOPIC: Transmission Lines, Power Systems, and Powerplants:INSTRUCTIONS:- Answer in this format: Given, Illustration, Required Conversion, Solution, Final Answer.- Step-by-step solution, do not skip even simple calculations to avoid confusion.- If answered in written form, make sure it is readable.PROBLEM:The per-phase constants of a 345-kV, three-phase, 150-km-long transmission line are resistance = 0.112/km, inductance-1.1 mH/km, and capacitance = 0.02 uF/km. The line supplies a 180-MW load at 0.9 power factor lagging. Using the nominal-m circuit, determine the sending-end voltage in kV. 351.2 349.3 348.7 350.8arrow_forwardExplore the role of FACTS (Flexible AC Transmission Systems) devices in enhancing power system stability and control.arrow_forward
- please explain steps-by-steps solution tqarrow_forwardThe diameter of the overhead lines in the form of cylindrical conductors in a 300 kV three-phase transmission system is 20 mm.a) - How much distance should there be between two conductors using the maximum area calculation equations?Calculate. (Puncture peak strength of air is 30kV / cm.)b) - In this configuration, if the distance between phase conductors is 0m, at what voltage levelCalculate the discharge occurs?c) - Maximum electric field in the same configuration, for electrode distances to be 0mCalculate the value. If needed in calculations Ꜫ0 = 8.854x10-12 F / m)arrow_forwardı know answer but how? z=2, p=1,n=1 and system is unstablearrow_forward
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