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Development of the controlling speed algorithm of the conveyor belt based on TOU-tariffs

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  • Pihnastyi, Oleh
  • Khodusov, Valery

Abstract

The article considers the synthesis of an optimal discrete control algorithm for the conveyor belt speed, based on the use of Time-Of-Use tariffs. Methods have been investigated that reduce the consumption of electricity required to transport material from the extracted place to the place of processing. It is shown that the uneven distribution of material along the transportation route for long multi-section conveyors leads to a significant increase in the share of transportation costs among the total costs of material extraction. The systems for controlling the flow parameters of the transport system are analyzed to ensure uniform distribution of material along the transport route and reduce the cost of transporting material. It has been demonstrated that energy management methodology is an effective tool to reduce the cost of material transportation. Analyzed the common classes of tariffs using electricity by industrial enterprises, which can be successfully used in the design of control systems for flow parameters of the conveyor line. When synthesizing algorithms for regulating the speed of the belt, the model of primary friction and the assumption of the absence of a stress wave in the belt during instantaneous switching of the speed modes were used. An analytical model of the conveyor is presented in a dimensionless form, taking into account the transport delay. The problem of optimal control of the speed of the conveyor belt at fixed energy consumption for the considered control interval is formulated. The ranges of variation of the model parameters are estimated. An algorithm for optimal regulation of the belt speed using the coefficients Ukraine–TOU periods is synthesized. The influence of the initial conditions on the belt speed control modes is analyzed.

Suggested Citation

  • Pihnastyi, Oleh & Khodusov, Valery, 2020. "Development of the controlling speed algorithm of the conveyor belt based on TOU-tariffs," MPRA Paper 104681, University Library of Munich, Germany, revised 12 Nov 2020.
  • Handle: RePEc:pra:mprapa:104681
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    References listed on IDEAS

    as
    1. Granell, Ramon & Axon, Colin J. & Wallom, David C.H., 2014. "Predicting winning and losing businesses when changing electricity tariffs," Applied Energy, Elsevier, vol. 133(C), pages 298-307.
    2. Woo, C.K. & Sreedharan, P. & Hargreaves, J. & Kahrl, F. & Wang, J. & Horowitz, I., 2014. "A review of electricity product differentiation," Applied Energy, Elsevier, vol. 114(C), pages 262-272.
    3. Pihnastyi, Oleh & Khodusov, Valery, 2019. "The optimal control problem for output material flow on a conveyor belt with input accumulating bunker," MPRA Paper 95928, University Library of Munich, Germany, revised 07 Jan 2019.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Transport conveyor; distributed transport system; energy management; conveyor belt speed control; transport delay; uneven material distribution;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production
    • Q21 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Demand and Supply; Prices

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