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Mathematical model of a mechatronic module for stabilizing raw silk tension during cocoon reeling

Field of Science:General Chemical EngineeringComputer ScienceEngineeringIndustrial and Manufacturing Engineering
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This article presents a mathematical model of a mechatronic module designed to stabilize raw silk tension during the individual reeling of silkworm cocoons. The analyzed module consists of a rotary basin drive, a servomechanism for active control of raw silk tension, and a raw silk winding reel drive. For the rotary basin, a nonlinear dynamic model was developed by taking into account the quadratic dependence of the hydraulic resistance torque on angular velocity, and the model was linearized around the nominal operating point. It was analytically substantiated that the error of the linearized model does not exceed 5% when the deviation from the nominal speed is within ±22.4%. It was shown that a lumped-parameter model based on the wave criterion can be applied to the raw silk tension mechanism; the calculations demonstrated that the natural frequency of the raw silk is considerably higher than the operating bandwidth of the controller. In the winding reel drive, it was determined that the mechanical time constant increases by approximately 12% during a work shift due to the accumulation of raw silk, which justifies the need for adaptive retuning. The interconnection of the three subsystems was represented as a third-order state-space model, and full controllability and observability were confirmed for the selected set of sensors.

AUTHORS

K.Avazov

TOSHKENT TO'QIMACHILIK VA YENGIL SANOAT INSTITUTI

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# mathematical model# adaptive control# raw silk# cocoon reeling# mechatronic module# tension control# rotary basin# winding reel# state space

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References

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