In order to simplify the blast furnace control system, study was made to understand the relations among the reaction raw materials (X), the reaction products (Y), and the reaction rates (r) in the blast furnace by the method described below.
1) Basic model of B.F. operation
The material flow in the blast furnace is diagrammed according to the conservation laws of mass and number of atoms.
This diagram was proposed by the author as the basic model of B.F. operation, to clarify the relations among various process variables.
2) Method of obtaining reaction products (Y)
In seeking the reaction products (Y) from the reaction raw materials (X), it will be found that the number of equations is greater than the number of unknown variables (Y).
Hence, the selction of equations is required for obtaining the solution.
3) Application of generalized inverse matrix
The generalized inverse matrix is the method which uses all equations obtained. And its application is described here.
4) Method of obtaining reaction rates (r)
In seeking the reaction rates (r) in the blast furnace from the reaction products (Y) and the reaction raw materials (X) described in the foregoing paragraph, the node equations are formulated by the use of the basic model.
In this case, the number of node equations is also greater than the number of unknown variables (Y).
It is shown here that the reaction rates (r) must be sought by selecting independent nodes in accordance with the theory of graph.
5) Result of simulation
It is found that the solution loss value, which is an important B.F. operation index, is different for the traditional method and the generalized inverse matrix method.
This result indicats the necessity to find a method most suited for estimating the state of actual process.
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