Consider a 3-phase delta induction motor that is operating at 120 Hz. The motor (load) impedance, Z_Δ is given as (9+j12)Ω. The line-to-line voltage at the load is, ?_ab=416 ∠30ºVrms. Let the source be wye-connected, and line impedance be negligible. a) Draw the single-phase wye equivalent circuit and label all known parameters numericallyincluding load voltage. b)Determine the rms phase current phasors for each phase. c) Calculate the complex power consumed by the 3-phase load. d) Determine the capacitance value of each capacitor in a 3-phase delta capacitor bank needed to correct the load to a power-factor of 0.9, lagging.
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.
Consider a 3-phase delta induction motor that is operating at 120 Hz. The motor (load) impedance, Z_Δ is given as (9+j12)Ω. The line-to-line voltage at the load is, ?_ab=416 ∠30ºVrms. Let the source be wye-connected, and line impedance be negligible.
a) Draw the single-phase wye equivalent circuit and label all known parameters numericallyincluding load voltage.
b)Determine the rms phase current phasors for each phase.
c) Calculate the complex power consumed by the 3-phase load.
d) Determine the capacitance value of each capacitor in a 3-phase delta capacitor bank needed to correct the load to a power-factor of 0.9, lagging.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 10 images
