The line-to-line voltages in an unbalanced three-phase
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- 1. Calculate the line currents for phase a, b and c.2. Calculate the line-to-neutral voltages at the load for phase a, b and c.3. Draw the phasor diagram of the source line-to-neutral voltages and line currents.If the line-to-line primary voltage and line current is 1.0 at 0 degrees, what is the secondary line- to-line voltage for the following three-phase transformers? Assume a turns ratio of N = 10. Express answer in polar form. a. Delta-to-Delta: b. Delta-to-Wye: c. Wye-to-Delta: d. Wye-to-Wye:Two 7970-V:230-V single-phase transformers with impedance with respect to their secondaries of 1.5 + j3 and 2 + j4.5 ohms are connected in parallel to a 7900-V source. Their secondaries are supplying a common load of 30 + j40 ohms. What is the magnitude of the voltage across the load in volts? (2 decimal places)
- 5.In three-phase transformers, the high voltage star connection is preferred. This is so because in this case A) The voltage on the star windings is lower than if they were in delta and this reduces manufacturing costs. B) The voltage on the star windings is higher than if they were in delta and this reduces manufacturing costs. C) The voltage on the star windings would be the line-to-line voltage of the system since it is a three-phase manufacturing transformer. D) THERE IS NO SOLUTION6.5% ans ex A so kvA. 2o00/20 V, So He single-phase transformar has impedance drof of8% and resistance drop of 4%. Caleulate. The Requlation of the Thams former at full- Load o8 P.s Legging. also find The Power factor at which Voltage requlation will Be Zero. Sols 0.5 leading. s alculate The % Noltege Requlation af atransformar in w hich the Percantage resistance drof is 1% and Percentage dre is 6% when The Power fador is 0.8 lagging ) > unity aMS 38 % ans 1 % (シ→ 0.8 leading . amS - 2.2%Two 7970-V:230-V single-phase transformers with impedance with respect to their secondaries of 1.5 + j3 and 2 + j4.5 ohms are connected in parallel to a 7900-V source. Their secondaries are supplying a common load of 30 + j40 ohms. A. What is the magnitude of the voltage across the load in volts? (2 decimal places) B. What is the magnitude of the total current supplied by the 7900-V source in amperes? (3 decimal places) C. What is the efficiency of the parallel transformers combined in percent? ( 1 decimal place)
- Q. 2a) The impedance Zi and Z2 are connected in parallel across 200 V, 50 HZ single phase ac supply. Zi carries 2 A at 0.8 lag p.f. If the total current is 5 A at 0.985 lagging p.f. Determine - 1. Value of Z, and Z2 2. Total power and power consumed by Z2.The following single-phase loads are connected to a 415V three-phase supply. Z, = (25 - j15)0, Z, = (45+ j10)2 and Z, = (5+ j30)2. Answer questions 37 and 38. -. What is the current in amperes in the red phase? A. 6.65233.69 D. 5.60233.69 B. 8.23/30.96 C. 14.23430.96 Find the magnitude of the current in the neutral conductor in amperes. A. 18.16 с. 21.33 B. 14.23 D. 12.54 E. 15.68 . A three-phase supply energizes three resistive single-phase loads which draw the following currents: 1, =84, 1, = 6A and I, = 24. What is the magnitude of the neutral current? A. 8 В. 16 С. 5.29 D. 12.49 E. 5.61Consider the system shown in Figure 1. Assume the load voltage (VL) is 4720 V and the load consumption is 80 kVA at 0.85 lagging power factor. The line impedance (Zline) is 4.6+j8.5 2. The parameters of the 14,400/4800-V single-phase transformer referred to the secondary are: Req=0.95 , Xeq = 1.74 , Re = 48.5 kn, and Xm = 31.1 k. vp avs 4.6 +19.52 Zline Vs ~ P a:1 ele rmis alf Reais leee V₂ zí S Figure 1: System for Q1 I wad a) Find the current of the load. b) Find the primary and secondary voltages of the ideal transformer. nuomo I un cucc + Bline Xeq,s 1 V₂² 95, 74-32 1. VL 4720 Ponerlosture -> Pont IL = V₂ -V₂ Zine
- (b) A symmetrical delta-connected 415V three-phase supply is feed to an asymmetrical delta- connected load as shown in Figure Q2(b). Assume that it is a RYB sequence. The impedances of the load are ZrY = 50 + j50 N , ZYB = 150 + j0 N and ZBr = 50 –j50 N. jos (i) Determine and draw the phasor diagram of phase currents in the load. (ii) Determine and draw the phasor diagram of line currents in the system.Three single-phase transformers (ideal) are connected as shown in the figure below to supply a balanced 3-phase, 150 KVA, 600 VL load from primary 4.16 KVLL line. H1 X1 H2 X2 BALLANCED H1 X1 THREE PHAGE LOAD H2 X2 H1 X1 X2 (a) Draw (neatly) a phasor diagram showing the three, primary line-to-line voltages and the six secondary phase and line voltages. What is the phase relationship between the primary voltage VAB and the secondary voltage V12? Indicate on the phasor diagram:fFigure Q2(a) shows a positive sequence three phase circuits. Given a line-to-line voltage at generator, ERY = 415230°V. With assumption that all load impedance are balanced, Zn=Zyb=Zbr= 15 + jl8 2, determine all phase currents at each load and line currents. Include the phasor diagram for all currents in your analysis. R Zry Zyt Figure Q2(a) If the transmission line in three phase circuit at Figure Q2(a) has a impedance of 1+j20 for each phase, determine the phase voltages for each load with using an appropriate analysis. Use phase voltage at generator, ERN as a reference. Then determine the total apparent power, active power and reactive power supplied by the generator.