Bi-level optimal low-carbon economic dispatch for an industrial park with consideration of multi-energy price incentives

•A bilevel low-carbon economic dispatch model for the industrial park is proposed.•A multi-energy price incentive mechanism for the industrial park is designed.•A nonlinear primal-dual path following interior point method is employed.•A novel integrated demand response program for the building loads is introduced.•Operations of power to gas & ground source heat pump reduced carbon emissions.