Inrush current limiting circuit for a 1.5 MW transformer
Sequential phase energization with resistor in neutral supply
Ideas are based on these sources https://ieeexplore.ieee.org/document/1413337 a.k.a. 
http://www.ece.ualberta.ca/~apic/papers/Power_Quality/PQ-InrushReductionP1.pdf
From my own experience with a 80 kVA 400 VAC 50 Hz transformer with a specified maximum of 1216 Amps inrush current, I can tell that switching on phases L1-L2-L3 sequentially with a resistor in the neutral line reduces inrush current a lot (even better then expected). 4 relays, 1 timer relay, 1 resistor and an NC auxillary for the contactor was all I needed, beside the contactor already in place. The contactor is there to disconnect at night and to short-circuit the bypass resistor.
Timing of sequential phase delay
Somewhere between 0.015 and 0.5 seconds is a good delay for L2 and L3 at 50 hertz.
By trial and resistive inrush current measurements at 100 ksamples per second, I can measure less frequent high peaks at longer delays, though high inrush current peaks do still occur at 0.55 s.
L2+L3 delay [s]    L1 peak [A]    L2 peak [A]    #tests
---------------    -----------    -----------    ------
0.015...0.025      83             42             247
0.1                56             56             459
0.25               26             41             19
0.5                50             62             59
0.55               99             99             205
---------------    -----------    -----------    ------

Timer protection
Because the MTR17-TAB-U240-208 timer relay is rated at 8 A and magnetic circuit breakers in D-8A are expensive to source, a lower value D-6A breaker was used. Even with 0.55 seconds delay the L3 D-6A breaker tripped once where L1 and L2 inrush measurements were at 99 A. Though better choose a B characteric. It turns out that D-6A doesn't protect the 8 A relay in case of short circuit. Where a B-32 A breaker was able to protect IKA-232 relays.
For improved uptime I'd rather accept 99 A peaks over 45 A, when the circuit can be protected with 32 A breakers instead of 6 A breakers. Therefore I chose to replace 100 ms delays of the MTR17-TAB-U240-208 timer relay with 15...25 milliseconds make delays of the 32A IKA232-20/230V relay.
Note: 0.6 seconds was used as last sequential delay for switching a DILMP125(RAC240) contactor using a h3dt-a2.
Ohmic value grounding resistor
In my case the primary side no load phase average measured around 2.2 A. Optimal neutral line resistance was calculated according to part II to be 8.97 ohms:
U ≈ 235 volts
I_no-load_phase_average ≈ 2.21 amps
P_no-load_loss ≈ 186.48 watts
Z_open = U/I_no-load_phase_average ≈ 106.33 ohms
R_open = P_loss / (3 · I_no-load² ) ≈ 12.727 ohms
X_no-load = SQRT(11307.1-162) ≈ 105.57 ohms
 
R_N_optimal ≈ 0.085 · X_no-load ≈ 8.97 ohms

Include or exclude neutral to ground resistance?
No clue whether that resistor value should include or exclude the line to ground resistance of the earth rod. Although my measurements suggests the calculated resistance value includes the full circuit including star point earth rod resistance. With 8.5 ohms inserted in the circuit the maximum inrush phase current was measured at 99 A and a D-6A breaker tripped (once during 60 test runs). Lowering the resistance to 4.5 ohms reduced the peak values and didn't trip the D-6 A breaker during 697 test runs. Lowering to 3.644 ohms seems to slightly increase inrush L2-L3 current peak values.
Resistance [Ω]    L1 peak [A]    L2 peak [A]    #tests
--------------    -----------    -----------    ------
3.644             56             62             138
4.0               52             50             197
4.5               45             49             118
5.0               42             48             87
6.0               37             47             98
7.061             31             42             21
8.0               83             43             241
8.5               99             99             60
--------------    -----------    -----------    ------

My first thought is to exclude/ignore neutral to earth resistance. Though the calculated optimal value seems a too high for L3 due to the breaker tripping once. Lowering neutral resistance with 1.5 ohms to around 7 ohms seems optimal in this case. Choosing between fixed value resistors, better use 4 ohms over 8 ohms for lowest peak values (52 versus 83).
Note: I didn't measure neutral to earth circuit resistance, though suspect 5 ohms of resistance in the earthing rod at the utility company transformer according to that company its public documents for contracts, which states &quot;...stop adding earth rods as soon as the resistance is lower then 5 ohms&quot;. At the time of the measurements soil is dry to a lack of rain and ground water level is rather low at 3.3 meters below surface.
Resistor power rating
The H3DT-A2 timer relay to be set to actuate the contactor within 0.6 seconds, and when switching the transformer on 6 times per minute the 8 ohms 50 watt NHS50 or NH0504R000FE02 non-inductive resistor increased from 17º to 45ºC at most. With 4 ohms 50 watt the temperature hardly reaches 28ºC. Choosing a power rating of 10 watts seems safe for 4 ohms. For 8 ohms 25 watts leaves a lot of margin.
Fusible resistor power rating: 14 watts = too little
Sourcing fusible resistors above 7 watts seems impossible. Thus a parallel resistance network was used. Testing with 2 parallel pieces of type FW70A each 9.1 ohms rated at 7 watts was too little power for the transformer with up to 1218 A spikes. Where 4 parallel AC05 fusible resistors of 22 ohms rated 5 watts (P40), 20 watts in total, seems to be powerful enough.
Schematic with power saving
In this schematic L2 + L3 are operated with timer relays. These timer relays can be exchanged with breakers, like N + L1.
This energy saving design powers down 4 (timer) relays N-L1-L2-L3 after enabling the contactor. This is done using a make-before-break H3DT-A2 timer relay and DILM150-XHI11 auxiliary its NC terminals on the contactor. Thus after switching, the only power consumed is by the contactor (2.4 W) and the H3DT-A2 timer relay (0.6 W). Start is issued by making an external relay. In this case the relay of a solar DC to AC inverter.
Safety warnings

To operate safely the schematic requires an overheating protection device for the resistor. In case the timer relay fails to actuate the contactor, all transformer standby consumption current flows via the resistor and the resistor will get very hot quickly (example standby consumption of the 80 kVA transformer is 0.24 kW where the resistor is only rated for .05 kW). For example use fusible wirewound resistors, like Bourns FW70A series, Panasonic ERQX, Vishay Draloric AC05-CS, Vitrohm CRF-500, etcetera.
Apply Nomex/Insultherm or equivalent fiberglass insulation sleeving to the 4 wires on the primary side between contactor and cable protection devices. Those cables would otherwise be unprotected.


DIN rail with phase delay modules