Your copper line is way too long for one. After 4 blocks, copper cable starts losing EU. Throw a couple bat boxes in-line, and that should help, not to mention buffer the EU for the luminators. They do take quite a bit of power to fully charge up, but a full charge will run them for a bit over 2 minecraft days I believe.
Depending on how many blocks your line is traveling, you could have very little power left by the time it reaches the luminator.
4 copper cables, bat-box, repeat.
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If you plan on running multiple machines in addition to lights, I would recommend using medium voltage wiring and MFE, then step down to low voltage and bat-box when it runs to the lighting columns. You have quite a few lights to be powered by a single 32 EU line.
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