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- 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.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.If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by (a) 1202cos(t+60) (b) 120cos(t+60) (c) 1202sin(t+60)
- The average value of a double-frequency sinusoid, sin2(t+), is given by (a) 1 (b) (c) ZeroLet 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.1. Write down a formula for the three-phase power factor, assuming perfectly sinusoidal and symmetrical conditions, using line-line voltage measurements. 2. Write down a formula that relates three-phase apparent power to active and reactive power. 3. Draw a graph that depict single-phase waveforms for a purely sinusoidal 50 Hz voltage and a lagging current.
- 1. a) Find the rms magnitude and the phase angle of ICA in the circuit shown. 2. b) What percent of the average power delivered by the three-phase source is dissipated in the three-phase load?Given the following equation i = -4 sin(377t + 65°) and e = 5 cos(377t + 190°). Draw the phasor diagram and solve for the following: a. Element present in the circuitb. Power factorc. Real Power in RMS *round the final answer to four decimal places and label it with correct units.If a current 5.0 A lags the applied voltage 230 V by an angle ϕ, it can be resolved into two components, OA in phase with the voltage and OB lagging by 90°. If the phasor diagram in to a circuit possessing resistance and inductance in series, OA and OB must not be labelled and respectively. It has become the practice to say that the power factor is laggingwhen the current lags the supply voltage, and leading when the current leads the supply voltage. This means that the supply voltage is regarded as the reference quantity. (a) A 30 μ F capacitor is connected across the applied voltage, 50 Hz supply. Calculate the reactance of 30 μ F capacitor connected across applied voltage (b) the reactance of the capacitor; (c) the current.
- A load impedance, Zo = 10 + j 3 ohm, is connected to a source with line resistance equal to 3 ohm, as shown in the figure. Determine the average powers delivered to the load and absorbed by the line. The average powers delivered to the load and absorbed by the line are ________ and ____________ , respectively.An industrial installation has a power factor of 0.85 in backward. The demand is 150 KVA, and the operating voltage is 4800 V at 60 Hz. What should be done to bring the power factor to 0.95 in lagging? Indicate what you would connect and with what three-phase power. If the connection of the element to be added is in delta, indicate its reactance and the value of its capacitance or inductance. capacitance or inductance.The impedance ZL in the circuit is adjusted for maximum average power transfer to ZL. The internal impedance of the sinusoidal voltage source is 4+j7 Ω. 1. a) What is the maximum average power delivered to ZL?2. b) What percentage of the average power delivered to the lineartransformer is delivered to ZL?