{"id":14798,"date":"2022-12-24T14:55:35","date_gmt":"2022-12-24T12:55:35","guid":{"rendered":"http:\/\/journals.khnu.km.ua\/vestnik\/?p=14798"},"modified":"2022-12-26T21:10:35","modified_gmt":"2022-12-26T19:10:35","slug":"modelyuvannya-rezhymiv-roboty-elektropryvoda-pidjomnoyi-lebidky-krana-v-seredovyshhi-matlab","status":"publish","type":"post","link":"https:\/\/journals.khnu.km.ua\/vestnik\/?p=14798","title":{"rendered":"\u041c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0440\u0435\u0436\u0438\u043c\u0456\u0432 \u0440\u043e\u0431\u043e\u0442\u0438 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434\u0430 \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u043e\u0457 \u043b\u0435\u0431\u0456\u0434\u043a\u0438 \u043a\u0440\u0430\u043d\u0430 \u0432 \u0441\u0435\u0440\u0435\u0434\u043e\u0432\u0438\u0449\u0456 Matlab"},"content":{"rendered":"<p><!--more--><\/p>\n<p style=\"text-align: center;\">\u041c\u041e\u0414\u0415\u041b\u042e\u0412\u0410\u041d\u041d\u042f \u0420\u0415\u0416\u0418\u041c\u0406\u0412 \u0420\u041e\u0411\u041e\u0422\u0418 \u0415\u041b\u0415\u041a\u0422\u0420\u041e\u041f\u0420\u0418\u0412\u041e\u0414\u0410 \u041f\u0406\u0414\u0419\u041e\u041c\u041d\u041e\u0407 \u041b\u0415\u0411\u0406\u0414\u041a\u0418 \u041a\u0420\u0410\u041d\u0410 \u0412 \u0421\u0415\u0420\u0415\u0414\u041e\u0412\u0418\u0429\u0406 MATLAB<\/p>\n<p style=\"text-align: center;\">SIMULATION OF WORKING MODES OF THE ELECTRICAL DRIVE OF A LIFTING CRANE WINCHES IN MATLAB<\/p>\n<p><strong>\u0421\u0442\u043e\u0440\u0456\u043d\u043a\u0438: 99-107. \u041d\u043e\u043c\u0435\u0440: \u21165, 2022 (313)\u00a0\u00a0<a href=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2022\/12\/vknu-ts-2022-n5313-99-107.pdf\"> <img loading=\"lazy\" class=\"size-full wp-image-69 alignnone\" src=\"http:\/\/journals.khnu.km.ua\/vestnik\/wp-content\/uploads\/2021\/01\/pdf.png\" alt=\"\" width=\"76\" height=\"32\" \/><\/a> <\/strong><br \/>\n<strong>DOI:<\/strong> <a href=\"https:\/\/www.doi.org\/10.31891\/2307-5732-2022-313-5-99-107\">https:\/\/www.doi.org\/10.31891\/2307-5732-2022-313-5-99-107<\/a><br \/>\n<strong>\u0410\u0432\u0442\u043e\u0440\u0438: <\/strong>\u0411\u0410\u0411\u0406\u0419 \u0421\u0435\u0440\u0433\u0456\u0439<br \/>\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\ne-mail: babiy82sm@gmail.com<br \/>\n\u041c\u041e\u0428\u041d\u041e\u0420\u0406\u0417 \u041c\u0438\u043a\u043e\u043b\u0430<br \/>\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nORCID ID: <a href=\"https:\/\/orcid.org\/0000-0001-7626-8327\">0000-0001-7626-8327<\/a><br \/>\ne-mail: moshnoriz@vntu.edu.ua<br \/>\n\u041f\u0420\u041e\u0426\u0415\u041d\u041a\u041e \u0414\u043c\u0438\u0442\u0440\u043e<br \/>\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nORCID ID: <a href=\"https:\/\/orcid.org\/0000-0002-5611-7262\">0000-0002-5611-7262<\/a><br \/>\ne-mail:procenko.d.p@vntu.edu.ua<br \/>\n\u041f\u0410\u042f\u041d\u041e\u041a \u041e\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440<br \/>\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nORCID ID: <a href=\"https:\/\/orcid.org\/0000-0001-8139-4600\">0000-0001-8139-4600<\/a><br \/>\ne-mail: oapayanok@gmail.com<br \/>\n\u0416\u0423\u041a\u041e\u0412 \u041e\u043b\u0435\u043a\u0441\u0456\u0439<br \/>\n\u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u0438\u0439 \u043d\u0430\u0446\u0456\u043e\u043d\u0430\u043b\u044c\u043d\u0438\u0439 \u0442\u0435\u0445\u043d\u0456\u0447\u043d\u0438\u0439 \u0443\u043d\u0456\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442<br \/>\nORCID ID: <a href=\"https:\/\/orcid.org\/00000-0001-7451-7633\">0000-0001-7451-7633<\/a><br \/>\ne-mail: alex4444_2004@ukr.net<br \/>\nBABIY Sergiy, MOSHNORIZ Mykola, PROCENKO Dmytro,<br \/>\nPAYANOK Oleksandr, ZHUKOV Oleksiy<br \/>\nVinnytsia National Technical University<\/p>\n<p style=\"text-align: center;\"><strong>\u0410\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u043c\u043e\u0432\u043e\u044e \u043e\u0440\u0438\u0433\u0456\u043d\u0430\u043b\u0443<\/strong><\/p>\n<p>\u0412 \u0440\u043e\u0431\u043e\u0442\u0456 \u043f\u0440\u043e\u0432\u0435\u0434\u0435\u043d\u043e \u0430\u043d\u0430\u043b\u0456\u0437 \u0441\u0442\u0430\u0442\u0438\u0447\u043d\u0438\u0445 \u043d\u0430\u0432\u0430\u043d\u0442\u0430\u0436\u0435\u043d\u044c \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u0438\u0445 \u043b\u0435\u0431\u0456\u0434\u043e\u043a \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u043e-\u0442\u0440\u0430\u043d\u0441\u043f\u043e\u0440\u0442\u043d\u0438\u0445 \u043c\u0435\u0445\u0430\u043d\u0456\u0437\u043c\u0456\u0432 \u0442\u0430 \u0441\u0444\u043e\u0440\u043c\u043e\u0432\u0430\u043d\u043e \u0443\u0437\u0430\u0433\u0430\u043b\u044c\u043d\u0435\u043d\u0443 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0443 \u043c\u043e\u0434\u0435\u043b\u044c \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u043e\u0457 \u043b\u0435\u0431\u0456\u0434\u043a\u0438 \u043a\u0440\u0430\u043d\u0430. \u041d\u0430 \u043e\u0441\u043d\u043e\u0432\u0456 \u0437\u0430\u043f\u0440\u043e\u043f\u043e\u043d\u043e\u0432\u0430\u043d\u043e\u0457 \u043c\u043e\u0434\u0435\u043b\u0456 \u0440\u043e\u0437\u0440\u043e\u0431\u043b\u0435\u043d\u043e \u0441\u0442\u0440\u0443\u043a\u0442\u0443\u0440\u043d\u0443 \u0441\u0445\u0435\u043c\u0443 \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u043e\u0457 \u043b\u0435\u0431\u0456\u0434\u043a\u0438 \u0442\u0430 \u0440\u0435\u0430\u043b\u0456\u0437\u043e\u0432\u0430\u043d\u043e \u0457\u0457 \u044f\u043a \u043a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u0443 \u043c\u043e\u0434\u0435\u043b\u044c \u0443 \u0432\u0438\u0433\u043b\u044f\u0434\u0456 \u0431\u043b\u043e\u043a\u0430 \u0431\u0456\u0431\u043b\u0456\u043e\u0442\u0435\u043a\u0438 \u043f\u0440\u043e\u0433\u0440\u0430\u043c\u043d\u043e\u0433\u043e \u0441\u0435\u0440\u0435\u0434\u0438\u0432\u0438\u0449\u0430 Simulink Matlab. \u0412\u0438\u043a\u043e\u0440\u0438\u0441\u0442\u0430\u043d\u043d\u044f \u0434\u0430\u043d\u043e\u0457 \u043c\u043e\u0434\u0435\u043b\u0456 \u0434\u043e\u0437\u0432\u043e\u043b\u044f\u0454 \u0441\u0443\u0442\u0442\u0454\u0432\u043e \u0441\u043f\u0440\u043e\u0441\u0442\u0438\u0442\u0438 \u043f\u0440\u043e\u0446\u0435\u0441 \u043f\u0440\u043e\u0435\u043a\u0442\u0443\u0432\u0430\u043d\u043d\u044f \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434\u0456\u0432 \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u0438\u0445 \u043b\u0435\u0431\u0456\u0434\u043e\u043a \u043a\u0440\u0430\u043d\u0456\u0432.<br \/>\n<strong>\u041a\u043b\u044e\u0447\u043e\u0432\u0456 \u0441\u043b\u043e\u0432\u0430:<\/strong> \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u0430 \u043b\u0435\u0431\u0456\u0434\u043a\u0430, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0430 \u043c\u043e\u0434\u0435\u043b\u044c, \u0441\u0442\u0430\u0442\u0438\u0447\u043d\u0438\u0439 \u043c\u043e\u043c\u0435\u043d\u0442, \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434.<\/p>\n<p style=\"text-align: center;\"><strong>\u0420\u043e\u0437\u0448\u0438\u0440\u0435\u043d\u0430 \u0430\u043d\u043e\u0442\u0430\u0446\u0456\u044f \u0430\u043d\u0433\u043b\u0456\u0439\u0441\u044c\u043a\u043e\u044e \u00a0\u043c\u043e\u0432\u043e\u044e<\/strong><\/p>\n<p>Among the most common mechanisms in the industry are lifting machines of various types and designs. They are widely used in construction and assembly, repair, warehouse and other works related to lifting and moving large and heavy loads. The main and most energy-intensive mechanism of lifting machines is the lifting winch. The electric drive of the lifting winch must meet the increased operational requirements and ensure the performance of the given speed diagram, the necessary dynamics of work and high reliability in the operating modes. The energy indicators of the electric drive of the lifting winch mainly determine the energy indicators of the machine as a whole, therefore, due attention should be paid to the issue of designing the electric drives of the lifting winches. It is worth noting that the kinematic connections of the lifting winch are not absolutely rigid, which determines the occurrence of oscillations in the system as a result of dynamic forces. It is the presence in the electromechanical system of the lifting winch of elements with high inertia that causes the appearance of elastic oscillations during any transient process in this system. The presence of elastic oscillations in the mechanical system of the electric drive distorts the speed graphs of the system and leads to force pulsations. Elastic oscillatory processes in mechanisms lead to unpredictable behavior of the system and can cause emergency situations. Thus, taking into account the elastic properties of the mechanical system during its design will improve the efficiency and reliability of its operation. The results of the research carried out in the work contain the analysis of static loads of lifting winches of lifting and transport mechanisms and a generalized mathematical model of the crane lifting winch. On the basis of the proposed mathematical model, a structural diagram of a lifting winch was developed and implemented as a computer model in the form of a Matlab Smulink PPP library block. The mathematical and computer models presented in the work allow obtaining correct results in the entire range of loads, taking into account the change in the efficiency of the mechanical transmission when the loads and the direction of transportation change, and also take into account the influence of the elastic connection between the drive motor and the actuator. The use of the proposed models will significantly simplify the process of designing the power electric drive of lifting winches of cranes.<br \/>\n<strong>Keywords:<\/strong> lifting winch, mathematical model, static moment, electric drive.<\/p>\n<p style=\"text-align: center;\"><strong>\u041b\u0456\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430<\/strong><\/p>\n<ol>\n<li>\u041c\u043e\u0441\u043a\u0430\u043b\u0435\u043d\u043a\u043e \u0412.\u00a0\u0412. \u042d\u043b\u0435\u043a\u0442\u0440\u0438\u0447\u0435\u0441\u043a\u0438\u0439 \u043f\u0440\u0438\u0432\u043e\u0434 \/ \u0412.\u00a0\u0412. \u041c\u043e\u0441\u043a\u0430\u043b\u0435\u043d\u043a\u043e \u2013 \u041c.\u00a0: \u0418\u0437\u0434\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0438\u0439 \u0446\u0435\u043d\u0442\u0440 \u00ab\u0410\u043a\u0430\u0434\u0435\u043c\u0438\u044f\u00bb, 2007. \u2013 368\u00a0\u0441.<\/li>\n<li>\u041b\u043e\u0432\u0435\u0439\u043a\u0456\u043d \u0412.\u00a0\u0421. \u0414\u0438\u043d\u0430\u043c\u0456\u0447\u043d\u0430 \u043e\u043f\u0442\u0438\u043c\u0456\u0437\u0430\u0446\u0456\u044f \u043c\u0435\u0445\u0430\u043d\u0456\u0437\u043c\u0443 \u043f\u0456\u0434\u0439\u043e\u043c\u0443 \u0432\u0430\u043d\u0442\u0430\u0436\u0443 \u043c\u043e\u0441\u0442\u043e\u0432\u0438\u0445 \u043a\u0440\u0430\u043d\u0456\u0432 : \u043c\u043e\u043d\u043e\u0433\u0440\u0430\u0444\u0456\u044f \/ \u0412. \u0421. \u041b\u043e\u0432\u0435\u0439\u043a\u0456\u043d, \u042e. \u041e. \u0420\u043e\u043c\u0430\u0441\u0435\u0432\u0438\u0447. \u2013 \u041a\u0438\u0457\u0432\u00a0: \u041a\u041e\u041c\u041f\u0420\u0418\u041d\u0422, 2015. \u2013 197\u00a0c.<\/li>\n<li>\u041c\u043e\u043a\u0456\u043d \u0411. \u0406. \u0421\u0438\u043d\u0442\u0435\u0437 \u0437\u0430\u043a\u043e\u043d\u0443 \u043e\u043f\u0442\u0438\u043c\u0430\u043b\u044c\u043d\u043e\u0433\u043e \u043a\u0435\u0440\u0443\u0432\u0430\u043d\u043d\u044f \u043e\u0434\u043d\u0438\u043c \u043a\u043b\u0430\u0441\u043e\u043c \u043e\u0431\u2019\u0454\u043a\u0442\u0456\u0432 \u0437 \u043f\u0430\u0440\u0430\u043c\u0435\u0442\u0440\u0430\u043c\u0438, \u0437\u043c\u0456\u043d\u043d\u0438\u043c\u0438 \u0443 \u0447\u0430\u0441\u0456 \u0442\u0430 \u043f\u0440\u043e\u0441\u0442\u043e\u0440\u0456 \/ \u0411. \u0406. \u041c\u043e\u043a\u0456\u043d, \u041e. \u0411. \u041c\u043e\u043a\u0456\u043d, \u041e. \u041c. \u041a\u0440\u0438\u0432\u043e\u043d\u0456\u0441 \/\/ \u0412\u0456\u0441\u043d\u0438\u043a \u0412\u0456\u043d\u043d\u0438\u0446\u044c\u043a\u043e\u0433\u043e \u043f\u043e\u043b\u0456\u0442\u0435\u0445\u043d\u0456\u0447\u043d\u043e\u0433\u043e \u0456\u043d\u0441\u0442\u0438\u0442\u0443\u0442\u0443. \u2013 2020. \u2013 \u2116 6. \u2013 \u0421. 38-46.<\/li>\n<li>\u0411\u0430\u0431\u0456\u0439 \u0421. \u041c. \u041a\u043e\u043c\u043f\u2019\u044e\u0442\u0435\u0440\u043d\u0430 \u043c\u043e\u0434\u0435\u043b\u044c \u043f\u0456\u0434\u0439\u043e\u043c\u043d\u043e\u0457 \u043b\u0435\u0431\u0456\u0434\u043a\u0438 \u0432\u0430\u043d\u0442\u0430\u0436\u043d\u043e\u0433\u043e \u043a\u0440\u0430\u043d\u0430 \u0432 \u0441\u0435\u0440\u0435\u0434\u043e\u0432\u0438\u0449\u0456 Matlab \/ \u0421.\u00a0\u041c.\u00a0\u0411\u0430\u0431\u0456\u0439, \u0410. \u041c. \u0420\u0430\u0442\u0443\u0448\u043d\u0430 \/\/ Zbi\u00f3r artyku\u0142ow naukowych. \u00abIn\u017cynieria i technologia. East European Conference\u00bb (29.06.2017 \u2013 30.06.2017) \u2013 Warszawa : Wydawca : Sp. z o.o. \u00abDiamond trading tour\u00bb, 2017. \u2013 40 str. \u2013 S. 11\u201313.<\/li>\n<li>\u041a\u043b\u044e\u0447\u0435\u0432 \u0412.\u00a0\u0418. \u042d\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434 \u0438 \u0430\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u0430\u0446\u0438\u044f \u043e\u0431\u0449\u0435\u043f\u0440\u043e\u043c\u044b\u0448\u043b\u0435\u043d\u043d\u044b\u0445 \u043c\u0435\u0445\u0430\u043d\u0438\u0437\u043c\u043e\u0432 \/ \u0412.\u00a0\u0418.\u00a0\u041a\u043b\u044e\u0447\u0435\u0432, \u0412.\u00a0\u041c.\u00a0\u0422\u0435\u0440\u0435\u0445\u043e\u0432. \u2013 \u041c.\u00a0: \u042d\u043d\u0435\u0440\u0433\u0438\u044f,1980. \u2013 360\u00a0\u0441.<\/li>\n<li>\u0415\u0441\u0430\u043a\u043e\u0432 \u0412. \u041f. \u042d\u043b\u0435\u043a\u0442\u0440\u043e\u043e\u0431\u043e\u0440\u0443\u0434\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u044d\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434 \u043f\u0440\u043e\u043c\u044b\u0448\u043b\u0435\u043d\u043d\u044b\u0445 \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u043e\u043a \/ \u0412.\u00a0\u041f.\u00a0\u0415\u0441\u0430\u043a\u043e\u0432. \u2013 \u041a\u0438\u0435\u0432\u00a0: \u0412\u044b\u0441\u0448\u0430\u044f \u0448\u043a\u043e\u043b\u0430. \u0413\u043e\u043b\u043e\u0432\u043d\u043e\u0435 \u0438\u0437\u0434-\u0432\u043e, 1981. \u2013 248\u00a0\u0441.<\/li>\n<li>\u0410\u0432\u0442\u043e\u043c\u0430\u0442\u0438\u0437\u043e\u0432\u0430\u043d\u0438\u0439 \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434 \u0442\u0438\u043f\u043e\u0432\u0438\u0445 \u0432\u0438\u0440\u043e\u0431\u043d\u0438\u0447\u0438\u0445 \u043c\u0435\u0445\u0430\u043d\u0456\u0437\u043c\u0456\u0432. \u041a\u0443\u0440\u0441\u043e\u0432\u0435 \u0442\u0430 \u0434\u0438\u043f\u043b\u043e\u043c\u043d\u0435 \u043f\u0440\u043e\u0435\u043a\u0442\u0443\u0432\u0430\u043d\u043d\u044f. \u0421\u0430\u043c\u043e\u0441\u0442\u0456\u0439\u043d\u0430 \u0442\u0430 \u0456\u043d\u0434\u0438\u0432\u0456\u0434\u0443\u0430\u043b\u044c\u043d\u0430 \u0440\u043e\u0431\u043e\u0442\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0456\u0432 \/ \u0412.\u00a0\u0412. \u0413\u0440\u0430\u0431\u043a\u043e, \u0421.\u00a0\u041c. \u0411\u0430\u0431\u0456\u0439\u00a0, \u041c.\u00a0\u041c. \u041c\u043e\u0448\u043d\u043e\u0440\u0456\u0437 \u2013 \u0412\u0456\u043d\u043d\u0438\u0446\u044f : \u0412\u041d\u0422\u0423, 2017. \u2013 119\u00a0\u0441.<\/li>\n<li>\u041c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0456\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c : \u043f\u0456\u0434\u0440\u0443\u0447\u043d\u0438\u043a \/ \u041e. \u041f. \u0427\u043e\u0440\u043d\u0438\u0439, \u0410.\u00a0\u0412.\u00a0\u041b\u0443\u0433\u043e\u0432\u043e\u0439, \u0414. \u0419. \u0420\u043e\u0434\u044c\u043a\u0456\u043d, \u0413. \u042e. \u0421\u0438\u0441\u044e\u043a, \u041e. \u0412. \u0421\u0430\u0434\u043e\u0432\u043e\u0439 \u2013 \u041a\u0440\u0435\u043c\u0435\u043d\u0447\u0443\u043a, 2001. \u2013 410 \u0441.<\/li>\n<li>\u0422\u043e\u043b\u043e\u0447\u043a\u043e \u041e. \u0406. \u041c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043c\u0435\u0445\u0430\u043d\u0456\u0447\u043d\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043c. \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u0435 \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0430\u0441\u0438\u043d\u0445\u0440\u043e\u043d\u043d\u043e\u0433\u043e \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434\u0443 : \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \/ \u041e. \u0406. \u0422\u043e\u043b\u043e\u0447\u043a\u043e. \u2013 \u041a\u0438\u0457\u0432, \u041d\u0422\u0423\u0423 \u00ab\u041a\u041f\u0406\u00bb, 2016. \u2013 150 \u0441.<\/li>\n<li>\u0414\u043e\u0432\u0433\u0430\u043d\u044c \u0421. \u041c. \u0414\u043e\u0441\u043b\u0456\u0434\u0436\u0435\u043d\u043d\u044f \u0441\u0438\u0441\u0442\u0435\u043c \u0435\u043b\u0435\u043a\u0442\u0440\u043e\u043f\u0440\u0438\u0432\u043e\u0434\u0430 \u043c\u0435\u0442\u043e\u0434\u0430\u043c\u0438 \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u043d\u043e\u0433\u043e \u043c\u043e\u0434\u0435\u043b\u044e\u0432\u0430\u043d\u043d\u044f : \u043d\u0430\u0432\u0447\u0430\u043b\u044c\u043d\u0438\u0439 \u043f\u043e\u0441\u0456\u0431\u043d\u0438\u043a \/ \u0421. \u041c. \u0414\u043e\u0432\u0433\u0430\u043d\u044c. \u2013 \u0414\u043d\u0456\u043f\u0440\u043e\u043f\u0435\u0442\u0440\u043e\u0432\u0441\u044c\u043a : \u041d\u0413\u0410 \u0423\u043a\u0440\u0430\u0457\u043d\u0438, 2001. \u2013 137 \u0441.<\/li>\n<\/ol>\n<p style=\"text-align: center;\"><strong>References<\/strong><\/p>\n<ol>\n<li>Moskalenko V. V. Elektricheskij privod \/ V. V. Moskalenko \u2013 M. : Izdatelskij centr \u00abAkademiya\u00bb, 2007. \u2013 368 s.<\/li>\n<li>Loveikin V. S. Dynamichna optymizatsiia mekhanizmu pidiomu vantazhu mostovykh kraniv : monohrafiia \/ V. S. Loveikin, Yu. O. Romasevych. \u2013 Kyiv : KOMPRYNT, 2015. \u2013 197 c.<\/li>\n<li>Mokin B. I. Syntez zakonu optymalnoho keruvannia odnym klasom obiektiv z parametramy, zminnymy u chasi ta prostori \/ B. I. Mokin, O. B. Mokin, O. M. Kryvonis \/\/ Visnyk Vinnytskoho politekhnichnoho instytutu. \u2013 2020. \u2013 \u2116 6. \u2013 S. 38-46.<\/li>\n<li>Babii S. M. Kompiuterna model pidiomnoi lebidky vantazhnoho krana v seredovyshchi Matlab \/ S. M. Babii, A. M. Ratushna \/\/ Zbi\u00f3r artyku\u0142ow naukowych. \u00abIn\u017cynieria i technologia. East European Conference\u00bb (29.06.2017 \u2013 30.06.2017) \u2013 Warszawa : Wydawca : Sp. z o.o. \u00abDiamond trading tour\u00bb, 2017. \u2013 40 str. \u2013 S. 11\u201313.<\/li>\n<li>Klyuchev V. I. Elektroprivod i avtomatizaciya obshepromyshlennyh mehanizmov \/ V. I. Klyuchev, V. M. Terehov. \u2013 M. : Energiya,1980. \u2013 360 s.<\/li>\n<li>Esakov V. P. Elektrooborudovanie i elektroprivod promyshlennyh ustanovok \/ V. P. Esakov. \u2013 Kiev : Vysshaya shkola. Golovnoe izd-vo, 1981. \u2013 248 s.<\/li>\n<li>Avtomatyzovanyi elektropryvod typovykh vyrobnychykh mekhanizmiv. Kursove ta dyplomne proektuvannia. Samostiina ta indyvidualna robota studentiv \/ V. V. Hrabko, S. M. Babii , M. M. Moshnoriz \u2013 Vinnytsia : VNTU, 2017. \u2013 119 s.<\/li>\n<li>Modeliuvannia elektromekhanichnykh system : pidruchnyk \/ O. P. Chornyi, A. V. Luhovoi, D. Y. Rodkin, H. Yu. Sysiuk, O. V. Sadovoi \u2013 Kremenchuk, 2001. \u2013 410 s.<\/li>\n<li>Tolochko O. I. Modeliuvannia elektromekhanichnykh system. Matematychne modeliuvannia system asynkhronnoho elektropryvodu : navchalnyi posibnyk \/ O. I. Tolochko. \u2013 Kyiv, NTUU \u00abKPI\u00bb, 2016. \u2013 150 s.<\/li>\n<li>Dovhan S. M. Doslidzhennia system elektropryvoda metodamy matematychnoho modeliuvannia : navchalnyi posibnyk \/ S. M. Dovhan. \u2013 Dnipropetrovsk : NHA Ukrainy, 2001. \u2013 137 s.<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":3,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[71],"tags":[],"_links":{"self":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/14798"}],"collection":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=14798"}],"version-history":[{"count":4,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/14798\/revisions"}],"predecessor-version":[{"id":14988,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=\/wp\/v2\/posts\/14798\/revisions\/14988"}],"wp:attachment":[{"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14798"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14798"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journals.khnu.km.ua\/vestnik\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14798"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}