The Materials Innovation and Recycling Authority is asking its 51 member towns to commit to new 30-year contracts for waste disposal by June 1 so it can finance the $330 million cost to renovate the failing trash-to-energy plant. The plant burns a third of Connecticut’s refuse and turns it into electricity. MIRA needs most of its 51 member towns to sign long-term deals in order to make the renovation project viable, he said. Towns with MIRA contracts are currently paying about $83 per ton, projected to go up to about $91 in the next fiscal year. MIRA officials said they are trying to combine state bonding, a new power-purchase agreement for the energy generated by the plant and renewable energy credits to keep the cost of disposal to about $95 per ton after the plant is renovated.