(a) Three identical loads Zy, each of resistance 50 and inductance of 16 mH are connected to a three phase supply as shown in Figure Q4a. The supply has a line to line voltage of 415 V with 30° phase angle and operates at frequency of 50 Hz. Determine: (1) The total power dissipated in the loads. (ii) The total reactive power of the loads. Van Figure Q4a
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- For the power system of Figure Q4.1, all per unit quantities have been calculated usinga common base. The generator delivers power p∞ = 1 p. u. at a lagging power factor ofcos= 0.93. i) Calculate the internal voltage of the generator, the maximum electrical powerthat the generator can deliver to the system during the steady state operationand the steady state rotor angle, σ0, of the generator.ii) A three-phase fault occurs at busbar 3 and it is cleared by simultaneouslydisconnecting lines 13 and 23. Following the fault clearing, the systemcontinues to operate with only line 12 in service. Determine the new steadystate rotor angle, σ1, of the generator and the maximum power the generatorcan deliver to the system post fault.iii) Assuming that the post fault condition is small disturbance stable and that thereis no negative interaction among system controllers, calculate the criticalclearing angle, σcr, at which the fault should be cleared to ensure the generatorreaches a new steady…For the power system of Figure Q4.1, all per unit quantities have been calculated usinga common base. The generator delivers power p∞ = 1 p. u. at a lagging power factor ofcos= 0.93. i) Calculate the internal voltage of the generator, the maximum electrical powerthat the generator can deliver to the system during the steady state operationand the steady state rotor angle, σ0, of the generator.ii) A three-phase fault occurs at busbar 3 and it is cleared by simultaneouslydisconnecting lines 13 and 23. Following the fault clearing, the systemcontinues to operate with only line 12 in service. Determine the new steadystate rotor angle, σ1, of the generator and the maximum power the generatorcan deliver to the system post fault.Discuss why power plant and distribution system engineers are concerned a. with the real power absorbed by a load; b. with the reactive power.
- Discuss why a. Complex power in an AC circuit is more than the DC resistance. b. Receiving end voltage of an unloaded long line may be more than sending end voltage. c. Inductance of the three phase of a transmission line are generally not equal. d. It is necessary to use the geometric means radius in the formula for the inductance calculation whereas the formula for the capacitance calculation uses the actual radius.Each line of a 3-phase system given in figure is suspended by a string of 5 identical disks and the ratio of C1/C=0.1 (Shunt capacitance per self-capacitance) is given. If the string is connected to line of voltage 33kV. a) What is the voltage distribution over the unit of string and what is the string efficiency? b) When the string is supplied by a Guard Ring and this lead to add a two air capacitance of value 0.2C, 0.1C respectively to the nearest to the conductor. Find the new voltage distribution and the new efficiency.Find 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
- The fixed-value components of a Hay Bridge are R2 = 6Ω, and C1 = 2µF. At balance R1 = 16Ω and R3 = 11Ω. The supply frequency is 50 Hz. Calculate the value of the unknown impedance? Calculate the Q factor? What is the advantage of this bridge? The value of the variable resistance of the approximate method for measuring capacitor is R = 80Ω. The voltage across the variable resistance and the capacitor are 20V and 30V. Find the capacitance value if the supply frequency is 60Hz?A 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 ?Given the circuit shown below, if Zx = 100/0 o determine the current in each branch by: a) Nodal Methodb) Maxwell’sMethod
- What are two ways of reducing Z0? (last part of the question)What is the main direct cause of reactive power in AC system?A. Resistance of transmission linesB. Inductance and capacitance in the loadsC. Ideal transformer connected in the systemD. Power produced by generatorLet a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of the load impedance Z=ZZ, find expressions for P and Q, from complex power considerations. (b) Express p(t) in terms of P and Q, by choosing i(t)=2Icost. (c) For the case of Z=R+jL+1/jC, interpret the result of part (b) in terms of P,QL, and Qc. In particular, if 2LC=1, when the inductive and capacitive reactances cancel, comment on what happens.