Problem set 1 Compute the line voltages and currents of the load. Load Side: a 0,1 0 j0.2 Ω Α 10 Ω j5n Line Currents 'A =1 0,1 0 jo.2 N B 12 N j4 N 208-240° V rms 'c- -12 108-120° V rms Line voltages VAB = VBC VCA = 0.1 0 jo.2 N 12Ω j4 N C I+
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- Figure 2.26 shows three loads connected in parallel across a 1000-V(RMS),60Hz single-phase source. Load 1: Inductive load, 125kVA,0.28PF lagging. Load 2: Capacitive load, 10kW,40kvar. Load 3: Resistive load, 15kW. (a) Determine the total kW, kvar, kva, and supply power factor. (b) In order to improve the power factor to 0.8 lagging. a capacitor of negligible resistance is connected in parallel with the above loads. Find the kvar rating of that capacitor and the capacitance in F. Comment on the magnitude of the supply current after adding the capacitor.In the power system the magnitude of the sending end and receiving end voltages are kept at 1pu. The loads are S1 = (6 + j12) pu and S2 = (14 + j7)pu. The line impedance is j0.04pu. The power fed to the busbars are (10 + j17) and (10 + j2). Use the given information to calculate the following: i) the load angle for the sending end voltage ii) the receiving end reactive power iii) the sending end reactive power iv) total reactive power in the lineGiven: 1. 2 wye-connected loads per phase to a 3 phase power source 2. first load consists of a 55ohm resistance and a 0.05H inductance per phase 3. second load consumes 1kW and power factor of 0.7 lagging per phase 4. RMS of voltage across the loads are 220V, frequency 120Hz per phase 5. single phase equivalent is shown in the figure: Question: If the power factor for both loads will be changed to 0.95 lagging using a capacitor parallel to load network, what is the needed reactive power per phase to achieve the required power factor for load 1 and load 2 respectively?
- Given: 1. 2 wye-connected loads per phase to a 3 phase power source 2. first load consists of a 55ohm resistance and a 0.05H inductance per phase 3. second load consumes 1kW and power factor of 0.7 lagging per phase 4. RMS of voltage across the loads are 220V, frequency 120Hz per phase 5. single phase equivalent is shown in the figure: Question: If the power factor for both loads will be changed to 0.95 lagging using a capacitor parallel to load network, what is the needed reactive power per phase to achieve the required power factor for load 1 and load 2 respectively? Give also the value of capacitace that must be added to reach the power factor for both load.Given: 1. 2 wye-connected loads per phase to a 3 phase power source 2. first load consists of a 55ohm resistance and a 0.05H inductance per phase 3. second load consumes 1kW and power factor of 0.7 lagging per phase 4. RMS of voltage across the loads are 220V, frequency 120Hz per phase 5. single phase equivalent is shown in the figure: Question: If the power factor for both loads will be changed to 0.95 lagging using a capacitor parallel to load network, what is the needed reactive power per phase to achieve the required power factor for load 1. Give also the value of capacitace that must be added to reach the power factor for load 1.A 15kV, 3 phase circuits feeds a load of 10,000 kW at a lagging load factor and the load current of 750A. If it is desired to improve the power factor, determine the following: The uncorrected power factor;Reactive load;The new corrected power factor after installing a shunt capacitor unit with a rating of 9000 kVAR. (a) 0.813 lagging (b) 14723 kVAR (c) 0.9 lagging (a) 0.613 lagging (b) 15723 kVAR (c) 0.75 lagging (a) 0.713 lagging (b) 13723 kVAR (c) 0.85 lagging (a) 0.513 lagging (b) 16723 kVAR (c) 0.80 lagging
- Propose size of the capacitor required to improve the pf of a single phase system to 98%. The system supplies follwoing loads i) Lighting load of 50 kW p.f=1 ii) Induction motor load of 125 kW with a lagging p.f of 0.707 iii) A synchronous condenser of 75 kW at p.f 0.9 iv) Other miscellaneous loads of 25 kw at p.f 0.8 lagging. The voltage of the system is xxx V where xxx is 311The load current at Z of a two wire distributor XYZ is 30 A at 0.707 lagging power factor. The load current at Y is 20 A at 0.8 lagging power factor. Both power factors are referenced to their load voltage. If the voltage at Z is to be 230 V, find the value of the voltage to be maintained at X. The loop impedance of section XY is 0.1 + j 0.3 Ω and the loop impedance of section YZ is 0.08 + j 0.24 Ω.Three 230V single phase loads are supplied from a 400V 50Hz 3 phase 4 wire supply. The loads supplied are as follows a. 10Kw at a unity power factor connected between L1 and neutral. b. 15 kVA at 0.8 lagging power factor connected between L2 and neutral. c. 8kVA at 0.7 lagging power factor connected between L3 and neutral. Calculate a. The current in each line conductor. B. The current in the neutral conductor
- The 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.Develop the following problems in a clear and orderly way. Use 4 decimal places for magnitudes, real and imaginary values and 2 decimal places for the angle. Use the node numbering is indicated on the diagram. Indicate what you are calculating in each section of your procedure. problem #1 A three-phase line with an impedance of (0.2+j1.0) Ω per phase feeds three three-phase loads balanced connected in parallel. The characteristics of the loads are summarized in the following table: load 1 Consumes 150 kW and consumes 120 kVAR load 2 Delta connected. Impedance of (150-j48) Ω per phase load 3 120 kVA, pf=0.6 (+) If the line-to-neutral voltage on the load side of the line is 2000 V, determine: a) The line-to-line voltage on the supply side of the line. b) The phase and line currents of load 2A 120V (rms), 60Hz three-phase system is supplying power to the following two loads: Load # 1: A balanced load connected in wye with 100ohm resistance and 0.1H inductor connected in series. Load # 2: A balanced load connected in delta with 100ohm resistance and 10uF capacitor connected in series. Draw a circuit diagram and Determine: (i) Total active and reactive power supplied to load # 1 by the system (ii) Total active and reactive power supplied to load # 2 by the system (iii) Magnitude of the total current supplied by the source (iv) Source power factor