Troy,

You're correct in your statement about dimmers operating on a phase shift 
within their own circuitry.  However, that isn't likely the culprit here.

1000 feet of 350 MCM would have approximately 0.65 millihenry inductance per 
conductor.  If the conductors are widely separated in a manner that the 
respective magnetic fields have minimal interaction, this inductance value 
essentially doubles.  If the conductors are adjacent, or nearly so, the 
inductance value is less by virtue of the field cancellation.  Parallel 
conductors in very close proximity to each other will have minimal inductance 
because the fields are 180 degrees out of phase, and thus cancel.

That said .. and presuming a "worst case" installation with the conductors far 
apart from each other (not likely .. but we'll pretend that's the case), the 
collective impedance of both conductors at 60 Hz would be approximately 0.5 
ohm.  (Inductive reactances add in series.)

The remaining calculations pertaining to reactive voltage drop and phase shift 
depend on additional values that were not present in your post.  However, the 
values above can be plugged into calculations for you to determine the 
electrical effect.

If you were to attempt to cancel the inductive reactance in the conductors, a 
capacitor of more than 50,000 uF would be required.  Clearly NOT recommended.

You didn't specify a temperature, so I arbitrarily used 40C (104F) for the wire 
calculations that follow.  2,000 feet of 350 MCM at 40C would have a collective 
resistive loss for two conductors of 0.127 ohms.  Presuming a 40 amp load, this 
equates to a 5.1V drop in line voltage.  You also didn't indicate whether this 
was 120V or 240V .. but based on your query, I presumed the former.  If so, a 
5V drop (and this drop would be in addition other loss in the connections, 
connectors, switches, breakers, and elsewhere) may be sufficient to cause a 
slight but visible flicker in some LEDs on dimmers.  This would be attributed 
to the change in time at which the diac (trigger element in the dimmer) is 
activated relative to time, thus turning on the dimmer at varying points in the 
wave form .. hence causing a difference in intensity from one cycle to the next.

As a point of clarification: aside from the miniscule resistive loss in their 
conductors and conductive material, capacitors do not have any real "power 
draw".  However, inverters can easily be destroyed by sufficient capacitance 
connected across their AC output.  This is not due to the reactive current .. 
but instead by destabilizing the inverter's output voltage control loop.

In summary .. is your problem due to inductance?  Not likely.  Check for 
undiscovered points of resistive loss in your circuit.


Regards,


Dan Lepinski




--------------------------------------------
On Sun, 2/2/14, Troy Harvey <[email protected]> wrote:

Subject: [RE-wrenches] Long transmission line inductance and LED light flicker
To: "RE-wrenches" <[email protected]>
Date: Sunday, February 2, 2014, 2:39 PM
 
We've got a PV system that has long lines from the inverters to the house (1000 
ft or so). While the wires are properly sized (2x350MCMs), it inherently has a 
lot of inductance due to the line-length. What We are noticing is that dimmable 
LED lights flicker anytime a new load turned on, even if that load is purely 
resistive and the overall current draw is small (20 amps or so). What I "think" 
is happening is the LED dimmer circuits get their cue from phase delays, and 
that the inductance of the line length causes some phase jitter everytime a 
load is applied - thus causing flicker. Has anyone dealt with this issue 
successfully (other than switching to incandescent lights)? Would a static 
capacitor bank at the house do the trick, or do we need some type of active 
PFC? And if static did you have any issues with constant power draw from the 
capacitors?
  
Troy Harvey
 
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