Re: Power Factor correction
Let's talk "inductive" for the moment. The basic concept of "reactive power" is that it represents an energy exchange between the magnetic field of the generator (or in your case, the transformer) and the magnetic field of the motor. This energy exchange is above and beyond the energy exchange that permits the motor to do its work: to drive the pump so that it can push water down a pipe.
This exchange of energy causes some additional current to flow in the conductors between the transformer and the motor. This causes two problems:
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- <font size="2" face="Verdana, Helvetica, sans-serif">First, the additional current will result in additional I*2R losses, and represents a waste of energy.</font>
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- <font size="2" face="Verdana, Helvetica, sans-serif">Secondly, the additional current will result in a greater voltage drop within the transformer (i.e., due to the resistance of its windings). Therefore, the voltage available at the transformer terminals will be lower, and that will be felt throughout the system.</font>
<font size="2" face="Verdana, Helvetica, sans-serif">Now let us add a capacitor bank. What will happen is that you will now have an energy exchange between the magnetic field of the motor and the electric field of the capacitors. If you pick the right sizes, then the transformer will not longer play a role in this energy exchange. It takes place downstream of the transformer. There will be the same type of "additional current flow" that I described above, but it will take place between the motor and the capacitors.
Starting at the point at which the capacitor bank in installed, and looking downstream to the motor, there will be some additional I*2R losses and some additional voltage drop (again, "additional" meaning above and beyond what is needed to make the motor do its work). Thus, the advantage of installing the capacitor bank close to the motor is that you minimize the I*2R losses and the voltage drop.
But if you put the capacitor bank close to the transformer, then there will be more I*2R losses and a greater voltage drop along the entire length of conductors. That is what I meant, when I said that placing a capacitor bank close to the transformer is of no real value.
But Bob has a good point. Let us start at the point at which the capacitor bank in installed, and looking upstream to the transformer. The energy exchange going on because of inductive and capacitive stuff further downstream will not be seen by the transformer. The additional current flowing because of the inductive and capacitive stuff will not flow from (or within) the transformer. Therefore, there will be no additional voltage drop within the transformer, and its output voltage will be higher. So yes, the power factor seen at the transformer secondary will be higher. Also, that will reflect to the primary side, so there will be a power factor improvement on the primary side.
So let me revise my statement about placing the capacitor bank at the transformer. Let me replace the "It will gain you nothing" with "It will gain you something, but not as much as you could gain."