I run a small electrical utility, and can offer some insight
It is common to build distribution systems with some degree of redundancy. In this business, this is commonly done by building a series of distribution loops. This topology allows maintenance to be performed (via switching) with minimum overall disruption to continuity of service. The loops usually never completely close... there is always an open point for each loop. This approach allows for the circuit protection to operate correctly.
It is likely that your electric utility does not have all elements their distribution system in your neighborhood identically phased. This is not uncommon in areas where the majority of customers are residential, and thus mostly 1-ph. However, in industrial, commercial or agricultural areas, the utility will take careful measures to ensure identical phasing throughout their system. If you are a lonely 3-ph customer in a mostly residential area, then you are S.O.L.
Quick-fix :
Any VFD drive does not care what the incoming electricity phase sequence is. And you select the phase sequence out (remains unchanging regardless of ph-seq input). VFD drives are pretty cheap and easy for any electrician to install. Side-benefit is you get good speed control & your power factor may improve. Good for shop tools, blowers, pumps. Not good for high-starting-torque loads though.
Examples: http://www.automationdirect.com/adc/Shopping/Catalog/Drives"
Read the small print in your utility tariff. There may be a section on minimum performance standards that includes constant phase-rotation. Based on that... you will have some leverage. If not... then they have all the power... that you want... once again S.O.L.
Imagine a city down-town where this happens... none of the elevators would work 1/2 of the time.
BTW, in an area with older switching equipment (no phase sequence ID aid)... the solution to this problem may NOT be a quick & easy fix. The solution will take time to identify analyze & fix. Some modern switchgear (S&C Vista) does include this, making the job easy.
And no, I don't work for either Automation Direct or S&C
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