In my experience, the zero sequence of Transformers is not calculated, it is directly tested following ANSII/IEEE guidlines for Z1no, Z2no, and Z1ns tests (for three phase, three winding transformers).
Rough estimations of zero sequence impedance can be determined based on the positive sequence and core form of the transformer. A Shell type core will have a zero sequence of ~100% the positive sequence because the flux stays in the core / follows the same path as it does for positive sequence currents. For a core type, the zero sequence will be ~80-90% typically, because the flux must travel outside the core. This is for three winding transformer.
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Your third leg is called the high leg and can exceed 180 or more volts. In a 3 phase panel you will loose a third of your circuits unless they are used for motors or other equipment that uses three phase evenly through its function {meaning it doesn't use one leg exclusively for controls or 110V functions. It get a bit involved explaining the windings of a transformer and center taps but suffice it to say one leg gets more than it's share of windings in the transformer. It was used in the early years of industry when single phase 240V systems were the only game in town and they wanted to get more power from the Wye set up prior to delta. It never was popular but a necessity for industry and grew only because of slow development incorporating the 208V delta 3 phase system.
the G1 phase, dawg!
There is no phase shift.
A CT is a current transformer, used to measure current flow in a conductor. Neutral is power return, usually grounded at the distribution panel. A neutral CT, then, is a device that measures the current flow in the neutral conductor. In a three phase star system, each phase returns current to neutral, but the three phases cancel each other out, resulting in effectively zero current in neutral. The neutral CT is used to detect an imbalance in the system, perhaps caused by a ground fault or by some failure in one of the phase loads. In a single phase, single ended system, there is current on neutral, so the value of a neutral CT is not so great. If you also had a hot CT, you could compare and detect imbalance between hot and neutral, which would be an indication of a ground fault. (Actually, a ground fault current interrupting device, also called a GFCI, usually compares current in hot and neutral simultaneously, because both conductors are wound together as the sensing transformer primary - any perceived current is a ground fault.) In a single phase, double ended system, such as the 120/240 split phase system used in the US, a current CT could indicate ground fault or a system imbalance but, usually, imbalance might be a normal situation as various loads are turned on and off.
Unit of Phase constant is Radians per metre .