480 [V] generator, no load. Model parameters: Y connected, f = 50 [Hz], P=6. I, adjusted to get VLoc=480 [V] with [X₂ = 1 [2] R₁ →0 I₁ = 60 [A]; PF = 0.8 lagging At full-load: P = 1.5 [KW] mec Pore=1 [KW] a) Calculate the speed at which the rotor needs to rotate (in rpm and in radians per second). Solution: bl) Calculate the terminal line voltage V₁ under full-load current with PF-0.8 lagging. Solution: b2) Calculate the power converted and the induced counter-torque at full load and with PF=0.8 lagging Solution: b3) Calculate the power in Pin, the applied torque Tapp, and the power efficiency 77% operating at full load and with PF=0.8 lagging Solution: c) Calculate the terminal line voltage V₁ under full-load current with PF=1. Solution: d) Calculate the terminal line voltage V₁ under full-load current with PF-0.8 leading. Solution: e) Calculate the voltage regulation VR with PF=0.8 lagging, PF=1 and PF=0.8 leading Solution:
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.
The topic is electrical energy systems. Please help solve the problem shown. Thank you!!
![Objective: The objective of this problem is to learn how the load affects the line voltage
when we keep the excitation current constant.
Data:
480 [V] generator, Y connected, ƒ = 50 [Hz], P = 6. Iƒ adjusted to get VLoc=480 [V] with
no load.
Model parameters:
X₁ = 1 [2]
R₁ → 0
I₁ = 60 [A]; PF = 0.8 lagging
At full-load: P = 1.5 [KW]
Pore=1 [KW]
a) Calculate the speed at which the rotor needs to rotate (in rpm and in radians per second).
Solution:
bl) Calculate the terminal line voltage V, under full-load current with PF-0.8 lagging.
Solution:
b2) Calculate the power converted and the induced counter-torque at full load and
with PF-0.8 lagging
Solution:
b3) Calculate the power in Pn, the applied torque Tapp, and the power efficiency
77% operating at full load and with PF=0.8 lagging
Solution:
c) Calculate the terminal line voltage V, under full-load current with PF=1.
Solution:
d) Calculate the terminal line voltage V, under full-load current with PF-0.8 leading.
Solution:
e) Calculate the voltage regulation VR with PF-0.8 lagging, PF=1 and PF=0.8 leading
Solution:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb9a7c18-65f1-48ed-bb7e-4937a04e4157%2F5118c25a-0463-4e7d-9238-d49ae2229578%2Fi9kacw8_processed.png&w=3840&q=75)
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