SYDNEY, June 19 (Reuters) - A fire that ripped through a New South Wales power station on the weekend will not affect electricity supply, the Australian Energy Market Operator (AEMO) said on Sunday, ruling out a worsening of the energy crisis gripping the country's east. Supply has been stretched since mid-May in the heavily populated east, with about 25% of 23,000 megawatt (MW) of coal-fired capacity...