11.1 What is the phase sequence of each of the following sets of voltages? = a) va = 137 cos (wt + 63°) V, Vb = 137 cos (wt - 57°) V, Vc 137 cos (@t + 183°) V. = 820 cos (wt - 36°) V, Vb = 820 cos (wt + 84°) V, b) Va vc = 820 sin (wt - 66°) V. Vc
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- c) Calculate the phase voltages of the following zero, positive, and negative sequences of phase “a" given as follows: Vao = 20045° V Vai = 2052 – 30° V Vaz = 1534196° VThe instantaneous values of two alternating currents are given by i, = 20 sin wt and i, = 10 sin (wt + :) A. Find the sinusoidal expression for (i1 + i2) by drawing phasors and by calculations. Two alternating voltages are given by vị = 120 sin wt volts and vz = 200 sin(wt -) volts. Obtain the sinusoidal expression for v1 – v2 by resolution of phasors.The phase b voltage and the phase b current of a balance three-phase system are V = 220 sin (wt + 210°) and I = 10 sin (wt-180°). * A. 5256.44 W B. 5514.38 W C. 5715.76 W D. 6049.22 W
- Given the following phase currents: Ia= 3.5+j3.5; Ib=-j3; and Ic+-2.6+j1.5. Determine the negative sequence current for phase A. A. 0.313+j0.678 B. -0.313 -j0.678 C. -0.313+j0.678 D. 0.313-j0.678A single-phase source has a terminal voltage V=1200volts and a currentI=1530, which leaves the positive terminal of the source. Determine the real and reactive power and state whether the source is delivering or absorbing each.The figure shows a 3-phase bala Time left 1:06:30 200 /00 Vrms. sequence electrical system. Vcn Vbn %3D al Balanced (-) sequence 100 so a 2000 Vms Select one: O a. 200 /-120 Vrms O b. 200 v2 /0 Vrms O C. 200 /0 Vrms O d. 200 v2/-120 Vrms e. 200/120 Vrms
- Two relays each with 20-ohm resistance and 0.16-henry inductance are connected in series. What is the equivalent impedance?a. 20 + j102.2 ohms c. 20 + j95.32 ohmsb. 20 + j120.63 ohms d. 10 + j25.32 ohmsThe phase voltages across a certain load are given as: Va = 176 – j132 volts Vb = -128 - j96 volts Vc = -160 + j100 volts Va1 = 163.24-j35.10 / 166.97L-12.135 Va2 = 50.1-j53.9 / 73.59L-47.09 Va0 = -37.34-j42.67 / 56.70L-131.19 Compute for positive, negative, and zero sequence components of voltage.2) Figure shows three loads connected in parallel across a 1000-V (rms), 60-Hz single-phase source. Load 1: Inductive load, ... kVA, 0.28 p.f. lagging Load 2: Capacitive load, ... kW, 40 kvar Load 3: Resistive load, 15 kW Determine the total (a) kW, (b) kvar, (c) kva, and (d) supply power factor. (Please determine the power values within the specified limits: Load 1 apparent power: 100-150 kVA, Load 2 active power: 5-20 kW. By considering the power values you determined yourself, solve the question.) Load Load DE 1 2 Load 3
- The circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three-phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and ITThe circuit shows an unbalanced electrical installation powered by a positive sequence symmetrical three- phase network of 380 V compound voltage. The loads are single phase. Load 1 absorbs an active power of 950 W with f.d.p. 0.5 inductive. Load 2 absorbs an active power of 1,140 W with f.d.p. Unit. Load 3 absorbs from the network an active power of 760 W with f.d.p. 0.5 capacitive. Taking the network voltage URN as the phase reference, calculate: a) complex expressions of the line currents IR. Is. and IT RO- SO TO IR Is IT U₁-380 V CARGA 1 P₁ =950 W cos p1=0,5 ind. CARGA 2 P₂=1.140 W cos p₂=1 CARGA 3 P3=760 W cos p3=0,5 cap.1. Using rms values to represent their magnitudes, the voltage across and the current into a load are as follows in phasor form: V = Vejo° and I = le-jø° Show that the instantaneous power p(t) = v(t)·i(t) can be written as p(t) = P + P cos 2wt + Q sin 2wt, where average power P = VI cos o and reactive power Q = VI sin o. %3D 2. In problem 1, if V= 120 V, I= 1 A, and Ø = 30°, find the actual value of P, Q, S and power factor (PF). Is this load leading or lagging? 3. An input voltage of a repetitive waveform is filtered and then applied across the load resistance, as shown in Fig. P3-8. Consider the system to be in steady state. It is given that L = 5 µH and PLoad = 250 W. (a) Calculate the average output voltage Vo. (b) Calculate the rms value of Vị. (c) Assume C is big enough to hold the output voltage vo fairly constant. Calculate iLoad and the average value of the capacitor current ic. (d) (10 points bonus) Sketch i, iz and vị. iLoad Vi İL it R 15V C 宗。 (Load) 4 us 2 us- 6 us Figure…