Within virtual power plants (VPPs), large industrial loads function as key controllable loads (CL), and precise load quantification is pivotal to achieving efficient VPP operation. For industrial loads subject to heterogeneous scheduling problem (SP) constraints alongside uncertain renewable outputs, production scheduling and energy use decisions are strongly coupled, and demand response (DR) execution can conflict with pre-established production plans. There is an urgent need to establish a VPP-oriented unified constraint set and feasible region. However, the coordination challenges of production scheduling optimization, economic performance improvement, and flexible participation in VPP operation remain insufficiently addressed. Accordingly, this paper proposes an industrial load scheduling model for virtual power plants (ILS-VPP), an industrial load scheduling model that reconciles factory-level scheduling with VPP-level regulation requirements. First, to address the difficulty of VPP participation under flexible job shop scheduling problem (FJSSP) constraints, we embed FJSSP into the optimization framework and unify the feasible region with participation constraints. Second, to overcome the limited adaptability of DR responses, we design a co-optimization mechanism that integrates production scheduling with DR. Third, to balance economic benefits and completion deadlines under high uncertainty, we develop a three-stage robust optimization (RO) strategy grounded in multi-polyhedral uncertainty sets, chance-constrained programming, and the -constraint method. An improved football team training algorithm (FTTA) is employed to solve the model, enhancing convergence stability and solution-set quality. A case study over a 90-day operating horizon shows that the proposed model improves economic performance by 21.3 %, can supply 11,003 kWh of energy to the VPP, achieves a load flexibility index (LFI) of 79.8 %, and increases the load factor (LF) from 0.708 to 0.807.
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