A load flow analysis is to be performed on a four bus power system, the per unit admittance matrix of which is given below: | (3.0– j9.0) (-2.0+ j6.0) (-1.0+j3.0) (0.0+ j0.0) |(-2,0+ j6.0) (3.5– j10.5) (-0.5+ jl.5) (-1.0+ j3.0) |(-1.0+ j3.0) (-0.5+ jl.5) (3.5- j10.5) (-2.0+ j6.0) (0.0+ j0.0) (-1.0+j3.0) (-2.0+ j6.0) (3.0– j9.0) ] [Y]= Bus number I is the swing bus, buses numbers 2 and 4 are load buses and bus number 3 is a generator bus. The system base is 100 MVA. a) Draw and label carefully an appropriate single line diagram of the power system, showing the actual values of both admittance and impedance. Outline how the bus admittance matrix is derived from the system single line diagram and explain the physical significance of the values of elements Y, and Y of Yus above. If the loads at buses 2 and 4 are S, =(1.0+ j0.75) pu and S, = (0.5+ j0.3) pu. determine the value of the voltage V, at bus 2 that is produced by the first iteration of the Gauss-Seidel load flow method. Assume that the following initial conditions apply to the calculation: V, = V, = V, = (1.0+ j0.0) pu and |V,|=1.00 pu b)

A load flow analysis is to be performed on a four bus power system, the per unit admittance matrix of which is given below: | (3.0– j9.0) (-2.0+ j6.0) (-1.0+j3.0) (0.0+ j0.0) |(-2,0+ j6.0) (3.5– j10.5) (-0.5+ jl.5) (-1.0+ j3.0) |(-1.0+ j3.0) (-0.5+ jl.5) (3.5- j10.5) (-2.0+ j6.0) (0.0+ j0.0) (-1.0+j3.0) (-2.0+ j6.0) (3.0– j9.0) ] [Y]= Bus number I is the swing bus, buses numbers 2 and 4 are load buses and bus number 3 is a generator bus. The system base is 100 MVA. a) Draw and label carefully an appropriate single line diagram of the power system, showing the actual values of both admittance and impedance. Outline how the bus admittance matrix is derived from the system single line diagram and explain the physical significance of the values of elements Y, and Y of Yus above. If the loads at buses 2 and 4 are S, =(1.0+ j0.75) pu and S, = (0.5+ j0.3) pu. determine the value of the voltage V, at bus 2 that is produced by the first iteration of the Gauss-Seidel load flow method. Assume that the following initial conditions apply to the calculation: V, = V, = V, = (1.0+ j0.0) pu and |V,|=1.00 pu b)

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

Chapter11: Transient Stability

Section: Chapter Questions

Problem 11.22P

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