Abstract
The paper describes a mathematical model of a longwall shearer cutting system using the JOY’s 4LS20 shearer as an example. The derived mathematical model consists of three submodels, i.e., a model of a 3-phase electric motor, a model of a gear train system and an algebraic model of a process of rock cutting by means of conical cutting tools which are installed on a drum called a cutter head. The model of the gear train system is a system of ordinary differential equations of the second order which include parametric models of stiffness of both gears and shafts. This approach allows modeling of different faults, e.g., tooth breaking, shaft cracking, etc. The algebraic model of the rock cutting process includes construction features of the cutter head, mechanical properties of the cut rock, and allows estimation the current cutting force acting on the cutting system. The last model, i.e., the model of the electric motor is used for calculation of (a) the input torque and the angular velocity of the gear train system, and (b) the corresponding 3-phase electric current flowing through the motor. These parameters allow to compare simulation results with measurement data acquired from longwall systems.
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