ACR MLG UNAUTH RWY ENTRY AT DFW.

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DURING TAXI OUT IN DFW; WE MADE A WRONG TURN ON THE TXWY AND ONTO RWY 17R; WHICH WAS THE ACTIVE RWY. WE DEPARTED THE AIRLINER RAMP AREA AT TXWY 28 WITH TAXI INSTRUCTIONS FROM GND CTL OF 'INNER - 27 - OUTER TO RWY 17R.' INSTEAD OF MAKING AN IMMEDIATE LEFT ON THE INNER TXWY; WE CONTINUED STRAIGHT AHEAD TO THE OUTER TXWY AND THEN TURNED LEFT ON THE OUTER TXWY (BELIEVING THAT WE WERE ON THE INNER TXWY); THEN RIGHT ON TXWY 27 AND ONTO RWY 17R. WE NOTIFIED GND CTL THAT WE WERE ON RWY 17R BY MISTAKE AND WE CLRED 17R AS EXPEDITIOUSLY AS POSSIBLE. WE RECEIVED A NEW CLRNC TO TAXI TO 17R AND CONTINUED THE FLT. I BELIEVE THE FOLLOWING TO BE CONTRIBUTING FACTORS. THE LIGHTING AT TXWY 28 DEPARTING RAMP ON THE INNER TXWY IS EXTREMELY POOR; ESPECIALLY ON THE RAMP SIDE OF THE INNER TXWY. THERE IS CONTINUOUS CONSTRUCTION GOING ON WITH ALL THE ASSOCIATED LIGHTS THAT ADD TO THE CONFUSION. I FEEL THE LIGHTING ON THE INNER TXWY NEAR BOTH ACR X AND ACR Y RAMP AREAS NEEDS TO BE IMPROVED. THE FIRST BLUE LIGHTS THAT CAN BE SEEN DEPARTING THE RAMP AREA AT TXWY 28 ARE ON THE OUTER TXWY.