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I'd use a 5V SuperCap, a 5V regulator, and some white LED's.

 

1.5F 5.5V SuperCap

 

LM2596 Power Supply

 

You'll need a simple bridge rectifier in front of the power supply to provide DC from track power.  You need a diode in series with the power supply feeding the SuperCap and LED's.  Each white LED has a 100 ohm resistor in series with it, and they're all wired in parallel in this application.  Finally, you set the power supply output voltage to 5.5 volts.  With the diode drop, this charges the SuperCap to 5V and also powers the LED's when track power is present.  When track power is gone, the diode isolates the SuperCap and LED's and they're powered from the SuperCap until track power comes back.

 

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