There is conflicting information on the Digitrax site.
This document specifies 13.8v minimum on Pg7:
https://www.digitrax.com/media/apps/products/command-stations-boosters/db220/documents/DB210%2BDB220_rev0.pdf3.0Powering your DB210/DB220The DB210 is for use with DC POWER input ONLY, MAXIMUM INPUT 8 AMPS, 24VDC, DO NOT Exceed 25VDC maximum Input. Minimum Input 13.8VDC.
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It is recommended that when selecting a DC power supply the voltage should slightly exceed the scale track voltage you plan to run by about approximately 1 to 2V DC, and should provide sufficient current to support the chosen 3/5/8 Amp limit setting. The DC input voltage should not exceed track scale voltage by more than 3V.
However, 15v is minimum recommended on Pg1 of this document:
https://www.digitrax.com/media/apps/products/command-stations-boosters/db220/documents/Spec%20Sheet%20DB220.pdfTo further complicate the picture, a variety of voltages are shown at the bottom of this webpage:
https://www.digitrax.com/tsd/KB1017/loconet-accessory-power-requirements/PS2012e
The PS2012 provides the following dc voltage and current outputs depending on the Output Voltage Selector switch.
G setting provides 23V @ 12amps
HO setting provides 18V @ 15amps
N setting provides 13.8v @ 20amps
There are two sets of Output Connections. These outputs are electrically the same. The outputs need to be properly fused. The “Y” cable included with the PS2012 has self-resetting 5amp current limiters. If the PS2012 is used with the DCS200 or DB200 an 8amp fuse, circuit breaker or current limiter must be used. If “Y” cable is used with the DCS200 or DB200 only 5 amps of power will be available, defeating the purpose of using an 8 amp. Booster.
PS514
The PS514 is a 70watt Universal AC Power Supply. This power supply offers many different voltage outputs. Set the voltage selector as follows:
G / O Scale – 20v
HO Scale – 16.8v
N Scale – 13.8 or 15v
Use the Blue electrical tip with the pigtail that is included with the Super Chief Xtra and Super Empire Builder Xtra Starter sets. This power supply has been retired.
PS615
The PS615 is a 15 volt DC, 6A power supply. It is included in the Evolution Starter set and is also sold separately. It is for use with all current Command Stations operating at 5 amps.
Geez, as if DCC was complicated enough!
Like Tim says, there is a voltage adjust pot. All of my supplies, both cheapo and genuine Meanwell, have this feature. The range is the same on all of them +-1.7v even though the documentation states +-1.5v. So your 15v unit is good for 13.3v to 16.7v. If you want to replicate the Digitrax PS2012 unit then you would need an 18v version. Meanwell doesn't offer much at 18v but eBay is chock full of units.
I suspect anything 13.8v and up will work fine because your power supply is rated at 22 amps. If it were lower and closer to the booster's rated amperage then there may be an issue with voltage fluctuation if the power supply is asked to output full amperage. The booster will kick out long before your 22A supply fluctuates. Besides, 16 amps of trains running is a whole lot of trains!
13.8v is a "magic" standard voltage in the 12v powered world. Diodes are used on equipment inputs to protect the unit from people wiring it backwards. There is a small voltage drop across each diode. The next component in line is the internal regulator which also has a small voltage drop across it. Add up the drops and you get ~1.8v. End result - 13.8 yields internally stable 12 volts. The Digitrax N scale recommendation of 13.8v tells us the internal working voltage of the DB is 12v.