1) A 50 Hz, 3.75 MVA, 3.18 kV, three-phase synchronous generator with rated (nominal) current of In = 682 A has open- and short-circuit characteristic listed in Table 1 and Table 2 respectively. Determine saturated and unsaturated synchronous reactance in per-unit and in Ohms and calulate short circuit ratio (SCR). The generator is delivering rated power at 0.95 power factor leading at the rated therminal voltage. Using given open-circuit characteristic approximately determine the field current under rated loading.
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) A 50 Hz, 3.75 MVA, 3.18 kV, three-phase synchronous generator with rated (nominal) current
of In = 682 A has open- and short-circuit characteristic listed in Table 1 and Table 2 respectively.
Determine saturated and unsaturated synchronous reactance in per-unit and in Ohms and calulate
short circuit ratio (SCR). The generator is delivering rated power at 0.95 power factor leading at
the rated therminal voltage. Using given open-circuit characteristic approximately determine the
field current under rated loading.
![Table 1: Problem 1: short-circuit characteristic
Field Current If [A]
80
Short circuit current I [A] 620
Table 2: Problem 1: open-circuit characteristic
Field Current If [A]
100 120
3920 4120 4280 4400 | 4500
20
50
88
140
160
180
200
220
Open-circuit voltage E [V]
860 2180 | 3440
3660
4560](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c4a3d82-fadf-4c27-8edb-5e62636bbe4f%2Fdcb04e77-7ed3-4205-a46e-ed4f9761d0fe%2F8qohtfz_processed.png&w=3840&q=75)
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