3 Phase Unbalanced System

Thread Starter

ngkt722

Joined May 10, 2015
3
Can anyone teach me how to draw the circuit diagram and solve the problem?? Thanks

The following loads are connected in star across a 3-phase, 380 Volts, 50 Hz supply as follows:

-> A 380 Volt, three phase 10kW input power induction motor, with 0.8 lagging power factor
is connected to the Red, Yellow and Blue phase via a 3-phase, 3-wire cable;
-> A 2kW single phase electrical heater (assume pure resistive load) is connected between the
Yellow phase and neutral;
-> A 4kW single phase electrical load, with 0.7 leading power factor is connected between the
Blue phase and neutral.

Calculate:
(a) ALL the phase currents that flow to the induction motor;
(b) the phase current that flows to the 2kW electrical heater;
(c) the phase current that flows to the 4kW electrical load;
(d) ALL the line and neutral currents taken from the supply.

Thanks~~~
 

JoeJester

Joined Apr 26, 2005
4,390
What book is the origin of that question or the book you are using in your class?

There should be examples from whatever material the instructor has given you.
 

Thread Starter

ngkt722

Joined May 10, 2015
3
So
What book is the origin of that question or the book you are using in your class?

There should be examples from whatever material the instructor has given you.
Sorry to reply you late.

My class use this book for reference:

Allan H. Robbins, Wilhelm C. Miller, "Circuit Analysis: Theory and Practice, 5 edition"

There are no similar question in the reference book. I learned how to solve some basic balanced and unbalanced 3-phase problem. BUT for this question, It is difficult for me to figure out the circuit diagram.

Thanks
 

t_n_k

Joined Mar 6, 2009
5,455
@ngkt722
If you have done both balanced and unbalanced 3 phase calculations in class I would be surprised if you cannot at least offer solutions for each of the three individual loads.
The final step of how one combines individual load currents together to give the composite load currents, can obviously be left as the final task.
You should be able to show us the individual per-phase line & neutral load currents for each load case. The most 'complex' load is the induction motor, but I presume you realise this would be considered of itself, as a balanced load. This should inform you as to what the absence of the neutral wire connection to the motor means in this context.
 

Thread Starter

ngkt722

Joined May 10, 2015
3
@ngkt722
If you have done both balanced and unbalanced 3 phase calculations in class I would be surprised if you cannot at least offer solutions for each of the three individual loads.
The final step of how one combines individual load currents together to give the composite load currents, can obviously be left as the final task.
You should be able to show us the individual per-phase line & neutral load currents for each load case. The most 'complex' load is the induction motor, but I presume you realise this would be considered of itself, as a balanced load. This should inform you as to what the absence of the neutral wire connection to the motor means in this context.
Sorry to reply late, because I am a part time student@@.

How can I know from the context about the motor (star)connection.

And I really don't know how to draw the diagram in star or delta connect from my problem@@.

Thanks
 

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