Dublin-based Wendyâs has dethroned Burger King as the nationâs second-largest hamburger chain. A new report from the food industry research firm Technomic says last year, for the first time, Wendyâs topped Burger King in total U.S. sales by about $100 million. Both combined still have half the annual sales of McDonaldâs. The report credits Wendyâs number-two ranking to efforts to reinvent itself as a high-end burger chains with sandwiches like the W. and remodeling stores to give them a more-modern look. The report also quotes Wendyâs CEO Emil Brolick as saying poor performance in recent years was âa self-inflicted wound.â? Wendyâs returned its headquarers to Dublin last year after a three-year stint in Atlanta when it was co-owned with fast food chain Arbyâs.