Q.3 Based on Figure Q.3, Z1 = 120 N215° , Z, = 100 N410 ° and Za = 180 NL45 °. Z3 10 V 0.5 kH Vs Z2 Figure Q.3 a) Determine the impedance of Z4 for the bridge when it is in a balanced condition. Based on your answers in Qlc (i), propose suitable elements for Z4 and the value of each element if Vs has a frequency of 0.5 kHz. Justify your answer. b) c) What is the current flow through the meter? Justify your answer.
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- Consider the load convention that is used for the RLC elements shown in Figure 2.2 of the text. A. If one says that an inductor absorbs zero real power and positive reactive power. is it (a) True (b) False B. If one says that a capacitor absorbs zero real power and negative reactive power (or delivers positive reactive power), is it (a) False (b) True C. If one says that a (positive-valued) resistor absorbs (positive) real power and zero reactive power, is it (a) True (b) FalseFind the following: the power drawn by the 100ohm variable resistor If the variable resistor is set to 200-ohms, instead of 100-ohms, What is the power drawn by the 200-ohms resistor? total current of the system Is the circuit inductive, capacitive, or neither (resistive)? NOTE: Polar form for Voltage & Current. Rectangular form for ImpedanceSolve the impedances of the circuit using mesh analysis. Complete the table given. Note: If there are no coefficients for a particular parameter, input zero. Round off only the final answer to five decimal places if possible. @mesh 1: Z11I1 + Z12I2 +Z13I3 + Z14I4 = Source1 @mesh 2: Z21I1 + Z22I2 + Z23I3 + Z24I4 = Source2 @mesh 3: Z31I1 + Z32I2 + Z33I3 + Z34I4 = Source3 @mesh 4: Z41I1 + Z42I2 + Z43I3 + Z44I4 = Source4
- Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z = Z angleZ, find expressions for P and Q, from complex power considerations.(b) Express p(t) in terms of P and Q, by choosing i(t)= sqrt2*I* cos wt.(c) For the case of Z = R + jwL + 1 /jwC, interpret the result of part (b) in terms of P, QL, and QC. In particular, if w^2*LC=1, when the inductive and capacitive reactances cancel, comment on what happens.If the values of real power and reactive power is specified for a bus, then it is called as PQ bus. Select one: True FalseFind the total impedance, voltage drop on the 100-ohm resistor, draw the phasor diagram of the voltage and current at R1, total power (apparent) delivered by the current source, draw the phasor diagram of the voltage and current at the source. Also, is the circuit inductive, capacitive, or neither (resistive)? please give the step-by-step solution NOTE: Polar form for Voltage & Current. Rectangular form for Impedance
- In the network, find the value of ZL for maximum power transfer. The load impedance has both variable resistance and variable reactance. In addition, calculate the maximum power dissipated under these conditions, PS: Show complete/step-by-step solution without rounding off any numbers.The currents in each branch of a two - branched parallel circuit are given by expression i1 = 7.07sin(314t - π/4) A and i2 = 21.2sin((314t - π/3) A. The supply voltage is given by the expression v = 354sin 314t V. Determine the impedance Z1 and Z2. a. Z1 = 50.07 Ω, Z2 = 16.7 Ω b. Z1 = 35.4 Ω, Z2 = 8.35 Ω c. Z1 = 10.0 Ω, Z2 = 10.2 Ω d. Z1 = 14.46 Ω, Z2 = 14.14 ΩI have just started my first Semester (Fall 2021) out of 4 semesters in Master of Applied Science (M.A.S) in Power Engineering at Illinois Institute of Technology. I did not clearly undersand the course enrollment system because I am new to the system, so I ended up enrolling in courses; ECE58-Microgrid Design and Operation, and ECE579-Computer Aided Design of Electrical Machines. It appears ECE582 listed ECE418 (Power System Analysis) as a prerequisite; and ECE539 requires ECE319 (Fundamentals of Power Engineering) and ECE412(Hybrid Electric Vehicle Drives) as prerequisites. Let me hasten to add that I graduated in 2009 in a different academic setup in Africa in Electrical Engineering. So, not only do I have to cover the gap of about 12 year out of classroom, but I have compounded the problem by jumping into advanced courses before enrolling into foundation courses. Unfortunately I can no longer switch courses as the enrollment window has passed. I am only left with one option; to…
- Consider the microgrid of Figure 3.66. A three-phase transformer, T1, israted at 500 kVA, 220 VY grounded/440 V delta, a transformerwith a reactance of 3.5%.Themicrogridis supplied from anAC bus of a PV generating station.The DC bus rated at 540 V.The distributionlineis 10mileslong and has a series impedance of 0.1 + j1.0 Ω per mile and local load of 100 kVA at 440 V. The microgrid is connected to the local power grid using a three-phase transformer T2, rated at 440 V Y grounded/13.2 kV delta,500 kVA with a reactance of 8%. Compute the per unitimpedance diagram of the microgrid system. Assume the voltage base of 13.2 kV on the local power grid side and kVA base of 500InclassofENG100youwereaskedtoconnectacoilofresistance50Ωand inductance0.318Hwithacircuitcomprisinga75Ωresistorinserieswitha 159µFcapacitor.Andyouconnectedyourresultingcircuittoa240v,50HzAC supply. Calculate: (a)the supply current of your circuit; EV(7) (b)the circuit impedance, resistance and reactance; CR(7) (c)the phase angle of the resulting current,use (sine) as your reference and explain your result. AN(6) Question21.1 We have two loads in delta and another in star in parallel, the impedances of the branches of the delta are equal and we have that RΔ=1p.u. and XΔ=0.75 p.u., while in the star we have equal values of the branches, but formed by admittances where we have the conductance in parallel GY=0.64 p.u. and inductive susceptance of BY=-j0.48 p.u. If the loads are being supplied by a positive sequence balanced three-phase source with line-to-line voltage of phases a and b of Vab=1∠ 30º, if the base values are line-to-line base voltage of 1kV and three-phase base power of 100kW. DetermineA) Line and phase voltages, line and phase currents of the load in delta, line and phase voltages of the star, line and phase currents of the star.B) Obtain separately the phasor diagram of the delta and star load with the values obtained in A), indicate on the scale that these are 1 p.u.=5cm for example.C) obtain the power triangle and the power factor separately for each load. D) Obtain the power…