v(t) = 170cos(120πt +15°) V and the current is i(t) = 21cos(120nt -30°) A. Find the Power Angle, 0, and Power Factor of the circuit element. Power Angle, 0 [°] Power Factor [unitless] 45° 0.707
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- This wind farm needs a 250 km connection laid to Sommerville. The choice is either a 3 phase system or a bipolar dc system at 400 kV and ±400 kV at the receiving end respectively. (i) The 3-phase system has resistive losses per phase of 0.1 Ω/km. Calculate the system losses (in watts) when delivering 0.8 GW. (ii) The bipolar dc system has resistive losses of 0.1 Ω/km. Calculate the system losses (in watts) when delivering 0.8 GW. (iii) Calculate the efficiencies of the two systems. (iv) Comment on which system you would choose to use and why.Consider the microgrid of Figure 3.66. A three-phase transformer, T1, israted at 500 kVA, 220 VY grounded/440 V delta, a transformerwith a reactance of 3.5%.Themicrogridis supplied from anAC bus of a PV generating station.The DC bus rated at 540 V.The distributionlineis 10mileslong and has a series impedance of 0.1 + j1.0 Ω per mile and local load of 100 kVA at 440 V. The microgrid is connected to the local power grid using a three-phase transformer T2, rated at 440 V Y grounded/13.2 kV delta,500 kVA with a reactance of 8%. Compute the per unitimpedance diagram of the microgrid system. Assume the voltage base of 13.2 kV on the local power grid side and kVA base of 500A generator is rated 100 MW, 13.8kV and 90% power factor. The effectiveresistance is 1.5 times the ohmic resistance. The ohmic resistance isobtained by connecting two terminals to a DC source. The current andvoltage are 87.6 A and 6 V respectively. What is the DC resistance perphase? What is the effective resistance per phase? Whole Solution
- The following information is given in connection with three loads that are connected in parallel to a 230 volts ac line. Load 1: 4.6KW at unity power factorLoad 2: 11.5KVA at lagging power factor of 0.62Load 3: 5.52KW at leading power factor of 0.8 Calculate the:a. Total currentb. Overall power factor c. Total power d. Total reactive power e. Draw the phasor diagram of the currentA 210V, 50 Hz, single phase radial distribution system, the resistance of the wire is 0.0008 ohm/m supply and return. Two loads are connected and it consumes 20 and 15 A respectively and are fed from the cable at distance of 25 and 10 respectively. Calculate the voltage available across load 1 and 2. a- Voltage across load A is, Va= b- Voltage across load B is, Vb=A voltmeter, ammeter, amd wattmeter are connected with suitable instrument transformers into a single-phase circuit as per figure, the following data was taken: current transformer ratio 5 to 1, potencial transformer ratio 20 to 1, voltmeter reading 100 V, ammeter reading 5 A, wattmeter reading 360 W find Power factor : a) 56%, b) 63.02%, c) 72%, d) none Power : a) 360 W, b) 3,600 W, C) 36,000 W, d) none
- S1) The serial impedance per unit length of a three-phase 140 km power transmission line is 0.09 + j0.88 ohm/ km and its admittance is j4.1x10-6 S / km. Power factor under 210 kV interphase voltage from the end of this energy transmission line A power of 150 MVA, which is 0.85 back, is drawn. Using this transmission line data and the T equivalent circuit model, the line Calculate the head voltage (V1), current (I1) and load angle.•••PF improved by 100% Convert the given load of the circuit shown into impedance bulk by using power triangle; f= 60hz. Measure the line current IL, power loss PL0, power source Ps, voltage source VS; take note of the old value of PFL; Notations IL= line current; PL0= power loss; PS= power source; VS= voltage source; PFnew= New power factor after correction; PFold= old power factor before correctionWhich termination would result to a phase change of 180 degrees at the load if Zo = 100 ohm? a. 50 ohm b. short circuit c. 75 ohm d. all of these What is the purpose of impedance matching? a. maximum return loss b. maximum SWR c. maximum load power d. maximum reflection A short piece of transmission line that may be open or shorted and used for impedance matching purposes. a. converter b. decoder c. stub d. transformer
- In the circuit of figure shown in the next slide, three impedances are 12 – j10 ohms, 10 + j20 ohms, and 15 + j0 ohms, connected between conductors a, b, c and the neutral “n” of a balanced 230 volts, 60 hertz, 3 phase, 4 wire, ABC system. Using Van as the reference vector, determine:a. Current in each impedanceb. Neutral current Inc. Readings of wattmeters W1, W2, & W3d. Power in each impedanceA three-phase system has balanced conditions so that the per-phase circuit representation can be used as shown in Figure 1 Select the turns ratio of the step-up and step-down transformers that the system operates with an efficiency greater than 99 percent. Moreover, find the complex power (received or given) of all components in the circuit and the V1 and V2 voltages. The load voltage is specified as 4 kV rms, and the load impedance is 4/3 ohm. ..Find the following: the power drawn by the 100ohm variable resistor If the variable resistor is set to 200-ohms, instead of 100-ohms, What is the power drawn by the 200-ohms resistor? total current of the system Is the circuit inductive, capacitive, or neither (resistive)? NOTE: Polar form for Voltage & Current. Rectangular form for Impedance