Given the System: BUS, IO MW GI PEAK LOAD : 15 MW 24 HRS JOMW G2 A M) ENERGY : 240 MWH G3 IS A STAND BY UNIT. IOMW G3 Determine the Utilization Factor of the system shown.
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- G1 G2 T₁ ~ Consider the power system given above. Draw the impedance diagram and label it with per unit impedances calculated on generator G1 base. Line GI Load 12 G2 V2 Y=10.952 pu 8 MW, 6.8 kV, Z=0.8+10.6 pu 12 MVA, 13.8 kV, X=8% 10 MVA, 6.6 kV, X=8% 10 MVA, 13.2/132 kV, Z-0.0011+j0.0499 pu 12 MVA, 132/6.6 kV, Z-0.0015 +j0.04616 pu 10 MVA, 132 kV, Zi 0.0158+j0.084 pu "lineFigure below shows the one line diagram of a 3-o system. By selecting a common base of 100 MVA and 22 KV on the generator side, draw an impedance diagram showing all impedances including the load impedance in per unit. The data are given as follows: G: 100 MVA, 22 KV, X= 0.18 pu 22/220 KV, X= 0.1 pu TR1: 50 MVA, TR2: 40 MVA, 220/11 KV, X=0.06 pu Load 1: 50 MVA, 0.8 pf lag Load 2: 50 MVA, 0.8 pf lead If volt at bus 4 equal 11 KV constant value : calculate i) volt at bus 1 ii) EMF (Eg) of generator ii) Transmission line current TR1 TR2 ZTL=j80 2 G1 3. 4 Load 1 Load 2QI/A: The per unit admittances are indicated at the diagram and the bus data are given in table as shown. Determine the voltage at bus 2 and reactive power at hus 3 after one iteration using suitable method. All values are in per unit. PL PG No. OL QG Angle Type 1.0 0 Slack *** 0 2 Load 0.15 0 ? 0 Gen. y=-j5 p.u y=-J2 p.u 3 3 8420 0.8 0 wwww 1.0 1.0 0.35 0 y=-32.5 p.u
- For the system shown in figure, voltages V2, V3 and angles 82, 83 are calculated using Newton-Raphson method. shunt line charging admittances are neglected. All the values are given in per unit on 100MVA base. Calculate the complex power flows S12 and S32 in actual units. 1) Z12 = 0.01+ j0.02 Z3 = 0.02+ j0.04 PL G QL Slack bus V2 = 0.96L -1.67° V3 = 0.884 - 5.48° Vi=1.0/0° (estimated time to answer this question: 13 minutes)2. For the 3-bus network shown in figure, the impedances indicated are in per unit. a) Draw pu admittance diagram and obtain the bus admittance matrix Ybus for the network. b) Find the source voltages Eai and Ecz so that buses 1 and 2 have the voltages V = 120°, V2 = 1.05490° X= 0.20 pu X = 0.20 pu X= 0.36 pu Xo = 0.36 pu Xo 0.15 pu X p= 0.36 pu X- 0.36 pu X - 0.3 pu Load %3DIn a given system of base power of 250 MW, and bus 3 is taken as reference. The per-unit reactances are X12 = 0.2 p.u., X13 = X23 = 0. 1 p.u. The power flow in the system is given as: PF12 = 50 MW, PF13 = 150 MW, PF23 = 50 MW. Based on readings from 2 meters (not including M12 meter), M13 = 145 MW (not calibrated), and M23 = 50 MW (well calibrated), deduce the flow on line 1-2. Select one: O a. PF12 = - 47.5 MW. O b. None of these O c. PF12 = 67.5 MW. O d. PF12 = 47.5 MW. O e. PF12 =- 57.5 MW. O f. PF12 = 57 MW.
- THESE ARE THE QUESTIONS FROM THE SUBJECT POWER SYSTEM FUNDAMENTALS AND THE CHAPTER IS PERFORMANCE OF TRANSMISSION LINES AND THE TOPIC IS SHORT TRANSMISSION LINES THE ANSWERS ARE GIVEN WITH THE QUESTION PLEASE DO ALL THE QUESTIONS PROPERLY „DONOT SKIP ANY STEP AND DO YOUR BEST 4.) Estimate the distance over which a load of 15000 kW at 0-85 p.f. can be delivered by a 3-phase transmission line having conductors of steel-cored aluminium each of resistance 0-905 O/phase per kilometre. The voltage at the receiving end is to be 132 kV and the loss in transmission is to be 7-5% of the load. [69-55 km] 5). A 3-phase line 3 km long delivers 3000 kw at a p.f. 0-8 lagging to a load. The resistance and reactance per km of each conductor are 0-40 and 0-3 Q respectively. If the voltage at the supply end is maintained at 11 kv, calculate: (i) ceceiving end voltage (line-to-line) (ii) line current (ii) transmission efficiency. [(i) 10.46 kv (ii) 207 A (ii) 95%] 6). A short 3-0 transmission line with an…In the following network, the voltage magnitudes at all buses are equal to 1 p.u., the voltage phase angles are very small, and the line resistances are negligible. All the line reactances are equal to j1 p.u. (1) (2. P₂ = 0.1 p.u. P3 = 0.2 p.u. The voltage phase angle 83 in radian at bus 3 is (Assume one of the generator bus as slack bus and sin-¹ (0.1) = 0.1 rad) (a) -0.1 (b) -0.2 (c) 0.1 (d) 0The one-line diagram of a power system is shown in the figure below. The 3-ph load is composed of three 4.8-0 capacitors in delta connection. The motor draws 50 MW, 0.6 power factor lagging at 20 kV. Use a base of 100 MVA, 20 kV in the generator circuit. Determine the generator and motor internal emfs and the transmission line current. Line M 3-ph Load The three-phase power and line-line ratings are given below: X = 24% 22 kV 22/110 kV G: 80 MVA T1:40 MVA X= 6.4% X= 42.35 Q X = 22.5% Line: 110 kV M: 68.85 MVA 20kV The three-phase ratings of the three-winding transformer T2 are: Y-connected 110 kV Primary: Secondary: 40 MVA, Y-connected 25 MVA, 22 kV Tertiary: A-connected 15 MVA, 4.4 kV Neglecting resistance, the leakage impedances are: 110 kV Zps = 9.6% Zpt = 7.2% Zst = 10% 40 MVA, 40 MVA, 25 MVA, 110 kV 22 kV %3D
- PowerWorid Simulator case Problem 3_60 duplicates Example 3.13 except that a resistance term of 0.06 per unit has been added to the transformer and 0.05 per unit to the transmission line. Since the system is no longer lossless, a field showing the real power losses has also been added to the oneline. With the LTC tap fixed at 1.05, plot the real power losses as the phase shift angle is varied from 10 to +10 degrees. What value of phase shift minimizes the system losses?Two 30 22 parallel transmission lines supply a motor and a static load as shown in the figure. Answer the following questions. 20 MVA 11 kV j0.15 pu 25 MVA 12.5 kV/132 kV j0.1 pu G j30 Ohms j30 Ohms 25 MVA 132 kV/11 kV j0.1 8 MVA M 132/11 KV j0.1 pu ΔΥ Static Load 12 MVA, 11 kV, 0.8 lag ΔΥ (a) Choosing transmission line voltage 132 kV and the generator 20 MVA as base quantities determine pu impedance values and draw diagram of the power system shown in the figure. (b) Determine the pu and actual currents through the transmission line. (c) If the voltage at the load bus remains constant at 1.0 pu, determine the voltage regulation of the line.The figure below shows the one-line diagram of a four- bus power system. The voltages, the scheduled real power and reactive powers, and the reactances of transmission lines are marked at this one line diagram (The voltages and reactances are in PU referred to 100 MW base. The active power P2 in MW is the last three digits (from right) of your registration number (i.e for the student that has a registration number 202112396, P2 =396). [10] Starting from an estimated voltage at bus 2, bus 3, and bus 4 equals V2 (0) = 1.15<0°, V3 = 1.15 < 0°, V4 1.1< 0°. 1- Specify the type of each bus and known & unknown quantities at each bus. 2- Find the elements of the second row of the admittance matrix (i.e. [Y21 Y22 Y23 Y24]). 3- Using Gauss-Siedal fınd the voltage at bus 2 after the first iteration. 4- Using Newton-Raphson, calculate: |- The value of real power (P2), at bus 2 after the first iteration. Il- The second element in the first row of the Jacobian matrix after the first iteration. 2 P2…