It is understood the outlay in police, stewarding and hospitality costs will top £30,000, excluding any electrical engineering expenditure to solve the problem.
The Dingwall club's long-serving chairman and financier Roy MacGregor was not concerned with hard figures yesterday, though, as he returned to the ground to oversee investigations.
MacGregor instead laid bare the depth of his frustration after the lights went out at half-time under the full glare of live BT Sports TV coverage of the SPFL Premiership clash.
Engineers battled for 30 minutes to restore power to the ground before referee John Beaton called off the match.
It amounted to an embarrassing night for MacGregor, County's dedicated benefactor, who has invested millions in the club's rise from part-time Highland League status to Scotland's top flight.
He said: "This has cost the club a lot of money, but my real concern is we've let a lot of people down - the fans, the broadcasters, the image of the game. We do so much to get it right then this happens. It's not about the money. It's the fact we have let football down."
MacGregor said the source of the problem was a mystery. He added: "We know there was a drop in power outside the ground which affected the houses as well as the stadium, but we should still have been able to re-start it and get it going, and that didn't happen. I have a team of engineers going through everything."
No date has yet been set for the match to be played again.