A 4.16 kV, 3-ph industrial plant bus is supplied from the utility mains. Connected to the 4.16 kV plant bus are the following three-phase loads: 1. A 1750 hp induction motor bank operating at 80% full-load, 0.86 pf lagging and 94% efficiency. 2. A 1000 hp synchronous motor operating at 65% full-load and 93% efficiency. The synchronous motor has negligible armature resistance and synchronous reactance of 3002/phase. (a) Draw a single-line schematic diagram to illustrate the scenario described above. Show all P and Q flows. (b) Determine the real and reactive power of the induction motor.
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.
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