The pilot reported that he was practicing touch and go landings. He reported that during the third landing, a gust of wind caught the tail wheel as it touched down, turning the aircraft to the left. He tried to increase power to lift off but 'was out of control.' Subsequently, the left wing struck a fence, and the aircraft 'cart wheeled.' The pilot reported that the winds were from the south at 2 knots and that the gust of wind was 'unexpected.' A nearby weather facility, reported the winds to be from 190 degrees at 10 knots.