Bonus problem A single phase generator delivers at its terminals a voltage of 600 Volts rms and a current of 30 Amps rms. The real power delivered to a load from its terminals is P= 11.5 kW. Find the reactive power Q.
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- Consider a 3-phase delta induction motor that is operating at 120 Hz. The motor (load) impedance, Z_Δ is given as (9+j12)Ω. The line-to-line voltage at the load is, ?_ab=416 ∠30ºVrms. Let the source be wye-connected, and line impedance be negligible. b)Determine the rms phase current phasors for each phase. c) Calculate the complex power consumed by the 3-phase load. d) Determine the capacitance value of each capacitor in a 3-phase delta capacitor bank needed to correct the load to a power-factor of 0.9, lagging.please answer this question within 30 minutes. i will upvote. In a series RLC circuit with resistance ? and impedance ? , the rms value of the generator emf is ?rms and the rms value of the current is ?rms . The current lags the emf by ? . The average power supplied by the generator is given by which formula ? Show Mathematically.A 13.8-kV, single-phase generator supplies power to a load through a step-up transformer, a transmisson line, and a step-down transformer as in the figure above. Assume the transformers are ideal. The load’s impedance is Zload = 200 L 36.870, and the transmission line’s impedance is Zline = 70 L 600 What are the transmision losses in Watts?
- A 3 phase, wye-connected salient-pole generator has on per phase basis Xd = 2 ohms, Xq = 1.5 ohms and R∅ = 0. When delivering its maximum power output to an infinite bus bar, the terminal and excitation voltages/phase are 1,430 V and 1,495 V, respectively. Find the power angle in electrical degrees at the above conditionsWhile the instantaneous electric power delivered by a single-phase generator under balanced steady-state conditions is a function of time havi ng two components of a constant and a double-frequency sinusoid, the total instantaneous electric power delivered by a three-phase generator under balanced steady-state conditions is a constant. (a) True (b) FalseAn industrial plant consisting primarily of induction motor loads absorbs 500 kW at 0.6 power factor lagging. (a) Compute the required kVA rating of a shunt capacitor to improve the power factor to 0.9 lagging. (b) Calculate the resulting power factor if a synchronous motor rated at 500 hp with 90 efficiency operating at rated load and at unity power factor is added to the plant instead of the capacitor. Assume constant voltage (1hp=0.746kW).
- Under balanced operating conditions, consider the three-phase complex power delivered by the three-phase source to the three-phase load. Match the following expressions, those on the left to those on the right. (i) Realpower, P3 (a) (3VLLIL)VA (ii) Reactive power, Q3 (b) (3VLLILsin)var (iii) Total apparent power, S3 (c) (3VLLILcos)W (iv) Complex power, S3 (d) P3+jQ3 Note that VLL is the rms line-to-line voltage, IL is the rms line current, and is the power-factor angle.Consider a single-phase load with an applied voltage v(t)=150cos(t+10)volts and load current i(t)=5cos(t+50)A. (a) Determine the power triangle. (b) Find the power factor and specify whether it is lagging or leading. (c) Calculate the reactive power supplied by capacitors in parallel with the load that correct the power factor to 0.9 lagging.Consider a load impedance of Z=jwL connected to a voltage and V let the current drawn be I. (a) Develop an expression for the reactive power Q in terms of ,L, and I, from complex power considerations. (b) Let the instantaneous current be i(t)=2Icos(t+). Obtain an expression for the instantaneous power p(t) into L, and then express it in terms of Q. (c) Comment on the average real power P supplied to the inductor and the instantaneous power supplied.
- The voltage v(t)=359.3cos(t)volts is applied to a load consisting of a 10 resistor in parallel with a capacitive reactance XC=25. Calculate (a) the instantaneous power absorbed by the resistor, (b) the instantaneous power absorbed by the capacitor. (c) the real power absorbed by the resistor, (d) the reactive power delivered by the capacitor, and (e) the load power factor.Find Vab at the terminals of a three-phase generator operating in a balanced system, if the armature voltage Ea=100<0° Vrms, its series reactance is j1, and the phase b current it is supplying is 20<-150° armsA generating station has a maximum demand of 25,000 kW. Calculate the cost per unit generatedfrom the following data: Capital cost = P 120M; Annual load factor = 45%; Annual cost of fuel and oil = P6.5M ; Taxes, wagesand salaries etc. = P6M and Interest and depreciation = 13%