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 2.25P
Consider the series RLC circuit of Problem 2.7 and calculate the complex power absorbed by each of the R, L, and C elements, as well as the complex power absorbed by the total load. Draw the resultant power tna ngle. Check whether the complex power delivered by the source equals the total complex power absorbed by the load.
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Q2. For the circuit shown below, sketch the current waveforms iş and io and determine the
Average and RMS for both currents.
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Figure 2 shows three "LC" circuits, two of them with capacitance capacitors "C" and the three with inductance coils "L", the three circuits are coupled by means of two capacitance capacitors "Cc". The currents that circulate through each mesh are those indicated in the figure: "I1", "I2" and "I3". Using Kirchhoff's law for voltages and taking into account the definition of current I = −dQ / dt, find the system of coupled equations of the system and then find the normal angular frequencies of the system.
A parallel connection of a RL branch with a C branch is connected across a 100V AC mains. At first R = 10 ohms, L = 20mH and frequency of 1000rad / s, the current measured is 2.2361A at 89.44 leading power factor. A) Determine the initial capacitance. B) However, a fault occurs on the capacitor branch making its capacitance 20% lower and a resistance of 5 ohms is detected. If this faulty circuit is rerun but at a frequency of 500 rad / s, determine the new current that will flow through the circuit
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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- A parallel connection of a RL branch with a C branch is connected across a 100V AC mains. At first R = 10 ohms, L = 20mH and frequency of 1000rad / s, the current measured is 2.2361A at 89.44 leading power factor. A) Determine the initial capacitance. B) However, a fault occurs on the capacitor branch making its capacitance 20% lower and a resistance of 5 ohms is detected. If this faulty circuit is rerun but at a frequency of 500 rad / s, determine the new current that will flow through the circuit.arrow_forwardFor the circuit given in Figure 1, a) Find the Thevenin equivalent circuit with respect to terminals a-b b) When a 5000 resistor is connected to terminal a-b, find the voltage on the resistor wwwwwwmm c) It will be connected to a-b terminals and its voltage on 5000 load will be 132 kV rms. What should be the capacitive reactance value that will increase it? wwwwwwwww d) What happens to the short-circuit current when the a-b terminals are short-circuited? 2+1202 000 m da 127/6 kV rms ob 1.5 +/902 000 w 12725 kV msarrow_forwardQ2. For the circuit shown below, sketch the current waveforms is and io and determine the Average and RMS for both currents. a = 50° T1 50 2 ot Vs = 300 sin 100rt T2 otarrow_forward
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- Aside from the typical RLC circuit arranged in series, there exist that arranged in parallel as well (see Figure 3). In this configuration, the instantaneous voltages (and rms voltages) across cach of the three circuit elements are the same, and cach is in phase with the current in the resistor. The currents in C and L lead or lag the current in the resistor as shown in the phasor diagram (Figure 3b). By taking the instantaneous voltage across the AC source to be v(t) =V sin er and the instantaneous current provided by the AC source to be i(r) =, sin (er - ø). where V, and are the voltage and current amplitudes respectively, (a) (b) AV AV R. gure 3: (a) RLC circuit in parallel configuration and (b) phasor diagram for the RLC circuit. (a). Write the instantaneous currents across the three circuit elements in terms of angular frequency o, inductance L, and capacitance C. (b). Relate for the ratio of the rms voltage and current towards the ratio of the amplitude voltage and current. (c).…arrow_forwardTask 3 A three phase, four wire star connected load consisting of: ZR: a resistor of 9500 in series with a 3H inductor ZB: a resistor of 1950 ZY: a resistor of 1950 in series with a 4µF capacitor Using the equipment available in the power lab (Room T017), connect the given load to a three-phase supply available in the lab and: 3.1. Determine the current of each line and the neutral current and measure the total power supplied by the source. 3.2. Analytically, calculate all currents and the total power and compare with those obtained in measurements. 3.3. Device a method and measure the waveform of the neutral current. Discuss the obtained waveform and the reason for any distortion in the waveform 3.4. Validate your calculations using computer simulationarrow_forwardTwo 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.arrow_forward
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