1) One of the following three matrices represents the Ybus of the system of the one-line diagram in the figure below. ● ● ● Matrix A Matrix B Matrix C -j14.5 j8.0 j4.0 j2.5 j8.0 -j17.0 j4.0 j5.0 j4.0 -j8.8 0.0 j4.0 j2.5 j5.0 0.0 -j8.3] [j0.7187 j0.6688 j0.6307 j0.61931 j0.6688 j0.7045 j0.6242 j0.6258 j0.6307 j0.6242 j0.6840 j0.5660 Lj0.6193 j0.6258 0.5660 j0.6840] j0.7187 -j0.6688 -j0.6307 -j0.61931 -j0.6688 j0.7045 -j0.6242 -j0.6258 -j0.6307 -j0.6242 j0.6840 -j0.5660 -j0.6193-j0.6258 -0.5660 j0.6840 BUS 3 moon voo BUS 2 elle BUS 1 momo a) Which of the three matrices represents the Ybus of the system? b) Which of the three matrices represents the Zbus of the system? c) What is the impedance of the transmission line connecting bus 4 to bus 1? d) What is the admittance of the transformer connected to bus 4? e) If a circuit breaker was to operate and disconnect the transmission connecting bus 1 to bus 2, find the new Ybus of the system. f) Find the current injection at bus two given that the voltage at bus 2 is 0.95 PU. ww ™ BUS 4
Load flow analysis
Load flow analysis is a study or numerical calculation of the power flow of power in steady-state conditions in any electrical system. It is used to determine the flow of power (real and reactive), voltage, or current in a system under any load conditions.
Nodal Matrix
The nodal matrix or simply known as admittance matrix, generally in engineering term it is called Y Matrix or Y bus, since it involve matrices so it is also referred as a n into n order matrix that represents a power system with n number of buses. It shows the buses' nodal admittance in a power system. The Y matrix is rather sparse in actual systems with thousands of buses. In the power system the transmission cables connect each bus to only a few other buses. Also the important data that one needs for have a power flow study is the Y Matrix.
Types of Buses
A bus is a type of system of communication that transfers data between the components inside a computer or between two or more computers. With multiple hardware connections, the earlier buses were parallel electrical wires but the term "bus" is now used for any type of physical arrangement which provides the same type of logical functions similar to the parallel electrical bus. Both parallel and bit connections are used by modern buses. They can be wired either electrical parallel or daisy chain topology or are connected by hubs which are switched same as in the case of Universal Serial Bus or USB.
![1) One of the following three matrices represents the Ybus of the system of the one-line
diagram in the figure below.
●
●
●
Matrix A =
Matrix B=
Matrix C =
[-j14.5 j8.0 j4.0
j2.5
j8.0 -j17.0 j4.0 j5.0
j4.0
j4.0
-j8.8 0.0
j2.5
j5.0
0.0 -j8.3]
j0.7187 j0.6688 j0.6307 j0.61931
j0.6688 j0.7045 j0.6242 j0.6258
j0.6307 j0.6242 j0.6840 j0.5660
Lj0.6193 j0.6258 0.5660 j0.6840]
j0.7187 -j0.6688 -j0.6307 -j0.61931
-j0.6688 j0.7045 -j0.6242 -j0.6258
-j0.6307 -j0.6242 j0.6840 -j0.5660
-j0.6193 -j0.6258 -0.5660 j0.6840
BUS 3
uw
m
mon
mom
BUS 2
BUS 1
a) Which of the three matrices represents the Ybus of the system?
b) Which of the three matrices represents the Zbus of the system?
c) What is the impedance of the transmission line connecting bus 4 to bus 1?
d) What is the admittance of the transformer connected to bus 4?
mo
voor
e) If a circuit breaker was to operate and disconnect the transmission connecting bus
1 to bus 2, find the new Ybus of the system.
f) Find the current injection at bus two given that the voltage at bus 2 is 0.95 PU.
m
O
BUS 4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F297f5383-848f-4ea4-b3b0-01d2f60fe37d%2Fc4afc8fe-e930-46b4-be11-ca571314aa1e%2Fuk624zi_processed.png&w=3840&q=75)
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