Optimum volume of accumulative bunker operating in conveyer transport system of coal mines
In the conveyor system of coal mines, storage bunkers are widely used. They allow, due to the accumulation of load in the hopper, to increase the throughput of the conveyor transport system.
Currently, there are no methods for determining the optimal volume of storage bins, in which the throughput of the conveyor transport system would be greatest.
In the work, the mathematical model of the functioning of the storage bunker working in the conveyor system in the mode of maintaining the load volume in it within the specified limits is developed. Based on the theory of probability, the throughput of the “conveyor-bunker-conveyor” system with an accumulating bunker operating in the mode of maintaining the load volume in it within specified limits has been determined.
At the same time, it was assumed that the downtime and operation intervals of the over-bunker and sub-bunker conveyor lines are distributed according to exponential laws.
As a result, we obtained an analytical dependence of the average throughput of the “conveyor-bunker-conveyor” system on the volume of the bunker, the average load flows entering and unloading from the bunker, as well as on the downtime and recovery rates of the over-bunker and sub-bunker conveyor lines.
The analysis of the obtained analytical dependencies showed that the average throughput of the “conveyor-bunker-conveyor” system initially increases with increasing bunker volume and tends to a constant value with an unlimited increase in bunker volume. Moreover, if the average load flow entering the bunker is greater than the average load flow unloading from it, then the average throughput tends to the average load flow entering the bunker with an increase in the volume of the bunker. And if the average load flow entering the bunker is less than the average load flow unloaded from it, then the average throughput tends to the average load flow unloading from the bunker with an increase in the volume of the bunker.
Based on the obtained dependence, the maximum volume of the accumulating bunker was determined, at which the throughput of the “conveyor-bunker-conveyor” system practically does not increase with increasing volume of the bunker.
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