Modelling of Hydrocone Crushers for Controlling Product Quality

To improve the efficiency of the crushing/screening plant of Bazalt-Középko Kobányák Ltd. (Hungary), the implementation of computer aided quality control is planned. In the current phase, the R & D work aims at the solution of high-priority tasks: 1) Developing the process models, validation of the models by means of industrial measurements. 2) Developing the algorithm for the process control of the crushing/sizing plant. 3) Developing the suitable computer program. To develop the mathematical models of crushing (breakage and probability functions) and to determine the model parameters, the experimental industrial trials were carried out on hydrocone crushers of types Svedala H 4800 EF and H 4800 F, changing the gap size and crushing relatively narrow grain size fractions. Additionally, the parameters of the separation function for the screens operating in the system were determined. It was established that the crushing probability depends on the grain size of the feed (Y) and the gap size (s), so the breakage probability S, for each cone crusher, can be well characterised by the function formed using the ratio of these two parameters: SfYsf==. The distribution of the broken grains can be described reliably using the relative grain size distribution function B(? = x/Y) (usually Schuhmann-Gaudin- or Rosin-Rammler-shaped function). For the screens, the probability function ()2()111/NTx = xd ???---???? is suitable for cha-racterising the separation (where x? grain size, ?-open-area ratio, d ? rectangular screen aperture size, N ? number of appearance of the particle on a screen surface). Using these functions, the comminution circuits were described by means of vector/matrix equations. The calculations and measurements verified the reliability of the developed models and algorithms.