Linearization of Blast Furnace Operation Index Obtained with Reaction Rate

In order to develop steady state models of blast furnace systematically, “Basic Model of Blast Furnace operation (BM-BF)” was proposed in the author's first paper. In the following paper, “Basic Model of Simplified Blast furnace (BM-SBF)” was also proposed in order to avoid mathematical complexity result from many variables of real blast furnace. From this BM-SBF, both Input/Output variables Basic Equation (I/O-BE) and Node Basic Equation (N-BE) were derived. These equations (I/O-BE and N-BE) were regarded as a starting equation to calculate reaction products and as a starting equation to calculate reaction rates, respectively. The equations to be solved, which consist of I/O-BE and N-BE, outnumbered the unknown variables to be obtained. Therefore, the various calculating methods could be obtained depending on how to select the equations. In author's third paper, it was shown how to select a good calculating method of reaction products among various ones mentioned previously. And also indication was made that reaction products were obtained from linearized equations with measurement values (raw materiales and reaction products analysis data). In this paper, the number of independent calculating methods of reaction rate was made clear. Although there were many BF operation indexes obtained from reaction rate, two indexes, this is Solution Loss Carbon (SLC) and author's own Shrink coefficient of Cohesive Volume (SCV), were picked out among many as most suitable. These two indexes were calculated according to the definition equation. After regressional analysis, it was known that these operation indexes could be linearized with measurement values. The linear coupling coefficient matrix obtained from analytical method was shown to be consist with the one statistical method. In the course of analytical linearization, the structual difference between SLC and SCV become clear.