A 480V 50Hz Y‐connected six‐pole synchronous generator is rated at 100kVA at 0.8 PF lagging. It has a synchronous reactance of 2.56 Ω/phase and negligible armature resistance. Assume that this generator is connected to a steam turbine capable of supplying up to 113kW. The friction and windage losses are 2kW, and the core losses are 1kW. (a) What is the maximum output power available? (b) Construct the capability curve for this generator considering a max. load angle of 80. (c) Can this generator supply a line current of 200A at 0.6 PF lagging? Why or why not?
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.
A 480V 50Hz Y‐connected six‐pole synchronous generator is rated at 100kVA at 0.8 PF
lagging. It has a synchronous reactance of 2.56 Ω/phase and negligible armature resistance.
Assume that this generator is connected to a steam turbine capable of supplying up to 113kW.
The friction and windage losses are 2kW, and the core losses are 1kW. (a) What is the maximum
output power available? (b) Construct the capability curve for this generator considering a max.
load angle of 80. (c) Can this generator supply a line current of 200A at 0.6 PF lagging? Why or
why not? (d) What is the maximum amount of reactive power this generator can produce? (e) If
the generator supplies 40kW of real power, what is the maximum amount of reactive power
that can be simultaneously supplied and what is the corresponding field excitation and load
angle?
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