Three unequal single-phase loads are connected across the lines of a balanced, 3- phase, 230 volts (line) circuit. The first load takes 106 A at 0.78 pf lagging and is connected across lines 1 & 2. The second load takes 142 A, at 0.82 pf lagging and is connected across 2 & 3. The third one takes a load of 28.4 kW at 0.77 pf lagging. Solve for the following a. The line currents b. The equivalent wye connected impedance of the connection c. The total complex power absorbed by the load
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.
Three unequal single-phase loads are
connected across the lines of a balanced, 3-
phase, 230 volts (line) circuit. The first load
takes 106 A at 0.78 pf lagging and is
connected across lines 1 & 2. The second load
takes 142 A, at 0.82 pf lagging and is
connected across 2 & 3. The third one takes a
load of 28.4 kW at 0.77 pf lagging. Solve for
the following
a. The line currents
b. The equivalent wye connected impedance of
the connection
c. The total complex power absorbed by the
load
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