Abstract
Purpose. The application of automation systems of breaking up process on the gravity hump is the efficiency improvement of their operation, absolute provision of trains breaking up safety demands, as well as improvement of hump staff working conditions. One of the main tasks of the indicated systems is the assurance of cuts reliable separation at all elements of their rolling route to the classification track. This task is a sophisticated optimization problem and has not received a final decision. Therefore, the task of determining the cuts braking mode is quite relevant. The purpose of this research is to find the optimal braking mode of control cut of design group. Methodology. In order to achieve the purpose is offered to use the direct search methods in the work, namely the Box complex method. This method does not require smoothness of the objective function, takes into account its limitations and does not require calculation of the function derivatives, and uses only its value. Findings. Using the Box method was developed iterative procedure for determining the control cut optimal braking mode of design group. The procedure maximizes the smallest controlled time interval in the group. To evaluate the effectiveness of designed procedure the series of simulation experiments of determining the control cut braking mode of design group was performed. The results confirmed the efficiency of the developed optimization procedure. Originality. The author formalized the task of optimizing control cut braking mode of design group, taking into account the cuts separation of design group at all elements (switches, retarders) during cuts rolling to the classification track. The problem of determining the optimal control cut braking mode of design group was solved. The developed braking mode ensures cuts reliable separation of the group not only at the switches but at the retarders of brake position. Practical value. The developed procedure can be successfully used to determine the optimal braking modes of cuts in automation systems of trains breaking up on the gravity humps.
Highlights
IntroductionThe control of trains breaking up on gravity humps is quite complex mathematical and technical problem, which is characterized by a high degree of responsiveness, the insufficiency or the absence of accurate information about the controlled object, the impossibility of formalizing all random factors and processes
One of the most important and difficult tasks of trains breaking up process control in automatic mode is to determine the braking modes (BM) of trains cut, which provide the best conditions of separation on separating elements and the fulfillment requirements of target regulation of rolling speed of cuts [16,17,18]
The aim of this work is to solve the optimization problem of the design group braking cut based on the intervals between switches and retarders of brake positions
Summary
The control of trains breaking up on gravity humps is quite complex mathematical and technical problem, which is characterized by a high degree of responsiveness, the insufficiency or the absence of accurate information about the controlled object, the impossibility of formalizing all random factors and processes. One of the most important and difficult tasks of trains breaking up process control in automatic mode is to determine the braking modes (BM) of trains cut, which provide the best conditions of separation on separating elements (switches and retarders) and the fulfillment requirements of target regulation of rolling speed of cuts [16,17,18]. Вісник Дніпропетровського національного університету залізничного транспорту, 2015, No 3 (57). In work [7] the objective function of optimization problem of controlled cut breaking mode of the design group in the following form min{δt , δt23} → max ,
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