CI. In the two bus system shown in Fig.2, bus 1 is slack bus with V, = 120° pu. A load of 150MW and 50MVar is taken from bus 2. Yus is given below. Using Newton-Raphson method, find the Jacobian matrix and inverse of the Jacobian matrix. Make suitable assumptions wherever required. O Y AUS V=1/0⁰ Fig.2. System for question Cl. [102-73.74 102106.26° 102106.26 102-73.74° 150MW >50Mvar

CI. In the two bus system shown in Fig.2, bus 1 is slack bus with V, = 120° pu. A load of 150MW and 50MVar is taken from bus 2. Yus is given below. Using Newton-Raphson method, find the Jacobian matrix and inverse of the Jacobian matrix. Make suitable assumptions wherever required. O Y AUS V=1/0⁰ Fig.2. System for question Cl. [102-73.74 102106.26° 102106.26 102-73.74° 150MW >50Mvar

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter6: Power Flows

Section: Chapter Questions

Problem 6.43P

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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 %3D
The order of the matrix increases during the formulation of Z bus , when a new branch is added between the existing bus and new bus True False
Determine Y-Bus and Z-Bus Matrix Given E1 and E2 equal 1.5 angle 0
For a system consist from 3 buses and bus 1 is the slack bus. The data of the system are:- 0.25 Ybus j -0.2 -0.2 -0.05 0.225 -0.025 p.u. -0.05 -0.025 0.075 V₁=1+j0 p.u., P₂+jQ₂=0.6+j0.25 p.u., P3+jQ3=0.8+j0.5 p.u. By using Gauss-Siedal method, the voltage of the bus 3 after two iteration is -0.076+j0.5566 O -0.076-j0.5566 O 0.076+j0.5566 0.076-j0.5566
Question 3: The 3-bus system is shown in the figure, Two lines are connected between bus 1 and bus 2 is having a mutual effect of M = j0.01(additive). Find the Y22 element of the Y-bus matrix of the system. j0.3 pu j0.3 pu 10.3 pu j0.3 pu
For a system consist from 3 buses and bus 1 is the slack bus. The data of the system are:- 0.25 Ybusj -0.2 -0.2 0.225 -0.05 -0.025 -0.05 -0.025 p.u. 0.075 V₁=1+j0 p.u., P₂+jQ=0.6+j0.25 p.u., P3+jQ3-0.8+j0.5 p.u. -0.762-j0.826 -0.762+10.826 O 0.762+j0.826 0.762-j0.826 By using Gauss-Siedal method, the voltage of the bus 2 after two iteration is
For a system consist from 3 buses and bus 1 is the slack bus. The data of the system are:- -0.2 -0.05 Ybus-j-0.2 0.225 -0.025 p.u. -0.05 -0.025 0.075 V₁=1+j0 p.u., P₂+jQ=0.6+j0.25 p.u., P3+jQ3-0.8+j0.5 p.u. 0.25 By using Gauss-Siedal method, the voltage of the bus 2 after two iteration is -0.762-j0.826 -0.762+j0.826 0.762+j0.826 0.762-j0.826 By using Gauss-Siedal method, the voltage of the bus 1 after two iteration is 1+j0 0+j1 -0.3-j0.6 0.3-j0.6
Using N-R method power flow solution, find AP2, AP3 and AQ2 also the first row and first column elements of the Jacobian matrix of the 3-bus system shown in fig.2. below. The bus data given in below table.The series impedance of each line is (0.0197 + 0.0788) p.u. and the shunt admittance at each end of the line is j0.02.Assume V2 as 1.0 + j0 for an initial start. Bus No. PG QG PL QL Bus Voltage 1 1.04 + j0 Unspecified 1.04 + j0 2 0.5 1.0 3 1.5 V, - 1.04 0* PU 0.5 1.0 V,- 1.04 Pu t 1.5 Fig.2.
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