Inverse Calculation of Burden Distribution Matrix Using B-spline Model Based PDF control in Blast Furnace Burden Charging Process

The inverse calculation of burden distribution matrix (BDM) is one of the most important challenges in the blast furnace iron-making processes. Focusing on this practical challenge, this paper proposes a new burden distribution spatial model in burden charging process, and develops a B-spline approximation-based probability density function (PDF) control algorithm to assign the expected thickness distribution of burden layer and perform the required inverse calculation of BDM. First, a novel method for the thickness distribution of burden layer is given using B-spline model. Then, according to the coexistence of continuous and bounded discrete variables in BDM, a novel hybrid optimization control method by combining integer programming and PDF tracking is further established. Finally, the proposed PDF-based iterative inverse calculation of BDM using B-spline models are tested using industrial data. The simulation results show that the proposed method is well-suited to solve the BDM inverse calculation problem in practice.