³ñíèê Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó

³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî

³ñíèê Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî

̲ͲÑÒÅÐÑÒÂÎ ÎѲÒÈ ² ÍÀÓÊÈ ÓÊÐÀ¯ÍÈ
MINISTRY OF EDUCATION AND SCIENCE OF UKRAINE
Êðåìåí÷óöüêèé íàö³îíàëüíèé óí³âåðñèòåò ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî
Kremenchuk Mykhailo Ostrohradskyi National University

²ÑÍÈÊ ÊÐÅÌÅÍ×ÓÖÜÊÎÃÎ ÍÀÖ²ÎÍÀËÜÍÎÃÎ ÓͲÂÅÐÑÈÒÅÒÓ ²ÌÅͲ ÌÈÕÀÉËÀ ÎÑÒÐÎÃÐÀÄÑÜÊÎÃÎ

TRANSACTIONS OF KREMENCHUK MYKHAILO OSTROHRADSKYI NATIONAL UNIVERSITY

³ñíèê Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî. – Êðåìåí÷óê: ÊðÍÓ, 2016. – Âèïóñê 6(101) ÷.1 – 153 ñ.

TRANSACTIONS ÎF KREMENCHUK MYKHAILO OSTROHRADSKYI NATIONAL UNIVERSITY. – KREMENCHUK: KRNU, 2016. – ISSUE 6(101) part 1. – 153 P.

ISSN 1995–0519
e-ISSN 2072–8263


Íàóêîâèé æóðíàë âèäàºòüñÿ ç 1996 ðîêó. Ç 8.07.2009 ð. âíåñåíèé äî Ïåðåë³êó ôàõîâèõ âèäàíü, â ÿêèõ ìîæóòü ïóáë³êóâàòèñÿ ðåçóëüòàòè äèñåðòàö³éíèõ ðîá³ò íà çäîáóòòÿ íàóêîâèõ ñòóïåí³â äîêòîðà ³ êàíäèäàòà òåõí³÷íèõ íàóê, à ç 17.01.2014 ð. – äîêòîðà ³ êàíäèäàòà åêîíîì³÷íèõ íàóê. Æóðíàë íàäñèëàºòüñÿ äî ïðîâ³äíèõ íàóêîâèõ á³áë³îòåê Óêðà¿íè, åëåêòðîííà âåðñ³ÿ æóðíàëó çáåð³ãàºòüñÿ ó Íàö³îíàëüí³é á³áë³îòåö³ Óêðà¿íè ³ìåí³ Â.². Âåðíàäñüêîãî, ³íäåêñóºòüñÿ ó çàãàëüíîäåðæàâí³é áàç³ äàíèõ «Óêðà¿í³êà íàóêîâà» (ðåôåðàòèâíèé æóðíàë «Äæåðåëî») ³ ðåôåðàòèâíîìó æóðíàë³ Â²Í²Ò² (ÐÀÍ), à òàêîæ ó ì³æíàðîäíèõ íàóêîìåòðè÷íèõ áàçàõ äàíèõ «Ulrich’s Web Global Serials Directory», «eLIBRARY», «Index Copernicus», «Polish Scholarly Bibliography», «Infobase Index», «Inspec», «Open Academic Journals Index», «Google Scholar», «CiteFactor» ³ «Scientific Indexing Services».

Äðóêóºòüñÿ çà ð³øåííÿì Â÷åíî¿ ðàäè Êðåìåí÷óöüêîãî íàö³îíàëüíîãî óí³âåðñèòåòó ³ìåí³ Ìèõàéëà Îñòðîãðàäñüêîãî (ïðîòîêîë ¹ 4 â³ä 25.12.2014 ð.). Ñâ³äîöòâî ïðî äåðæàâíó ðåºñòðàö³þ äðóêîâàíèõ çàñîá³â ìàñîâî¿ ³íôîðìàö³¿ ñå𳿠Ê ¹ 18771–7571 ÏÐ â³ä 30.01.2012 ð.

Æóðíàë ïóáë³êóº ï³ñëÿ ðåöåíçóâàííÿ, ðåäàãóâàííÿ òà ïåðåâ³ðêè íà îðèã³íàëüí³ñòü ñòàòò³, ÿê³ ì³ñòÿòü ðåçóëüòàòè äîñë³äæåíü ç ïèòàíü ðîçâèòêó íàóêè, îñâ³òè ³ âèðîáíèöòâà, âïðîâàäæåííÿ íîâèõ ðåçóëüòàò³â ôóíäàìåíòàëüíèõ ³ ïðèêëàäíèõ äîñë³äæåíü ó ãàëóç³ òåõí³÷íèõ, ïðèðîäíè÷èõ, åêîíîì³÷íèõ ³ ãóìàí³òàðíèõ íàóê.

The journal has been published since 1996. Since 8 July, 2009 the journal is registered in the List of specialized editions for the research results of doctoral and candidate theses in Engineering to be published in, and since 17 January, 2014 – in Economics. The journal is presented in the top research libraries of Ukraine including the Vernadsky National Library of Ukraine. The journal is indexed in the national database «Ukrainika Naukova» («Dzherelo» abstract journal), VINITI abstract journal (Russian Academy of Science), and international databases: eLIBRARY, «Index Copernicus», global serials directory «Ulrich’s Web Global Serials Directory», «Polish Scholarly Bibliography», «Infobase Index», «Inspec», «Open Academic Journals Index», «Google Scholar», «CiteFactor» and «Scientific Indexing Services».

The journal is published by the decision of the Scientific Council of Kremenchuk Mykhailo Ostrohradskyi National University (Record no. 3 of 25 December, 2014). Registration Certificate KV ¹ 18771–7571 PR of 30 January, 2012.

The journal publishes only original and peer-reviewed articles, which cover theoretical and experimental aspects of research outcomes in the fields of Engineering, Natural and Economic Sciences, and Humanities.

© Kremenchuk Mykhailo Ostrohradskyi National University, 2016.

Åëåêòðîìåõàí³÷í³ ñèñòåìè òà àâòîìàòèçàö³ÿ.
Åëåêòðè÷í³ ìàøèíè ³ àïàðàòè. Åíåðãåòèêà

ÅÍÅÐÃÎÅÔÅÊÒÈÂͲ ÐÅÆÈÌÈ ÏÓÑÊÓ ÒßÃÎÂÈÕ ÅËÅÊÒÐÎÒÅÕͲ×ÍÈÕ ÊÎÌÏËÅÊѲ ÐÓÄÍÈ×ÍÈÕ ÊÎÍÒÀÊÒÍÈÕ ÅËÅÊÒÐÎÂÎDzÂ
À. Â. Íåêðàñîâ, Â. Î. ×îðíà, À. Þ. Äìèòðåíêî, À. Ñ. Áë³íîâà
9
ÑÈÑÒÅÌÀ ÐÅÃÓËÞÂÀÍÍß ÒÐÈÔÀÇÍÎÃÎ ÏÀÐÀËÅËÜÍÎÃÎ ÑÈËÎÂÎÃÎ ÀÊÒÈÂÍÎÃÎ Ô²ËÜÒÐÀ Ç ÍÅײÒÊÈÌ ÐÅÃÓËßÒÎÐÎÌ Â ÊÎÍÒÓв ÑÒÐÓÌÓ
Ð. Â. Âëàñåíêî, Î. Â. Áÿëîáðæåñüêèé, Ñ. Ñ. Áîíäàðåíêî, Ñ. Ì. ßêèìåöü
15
ÐÅÆÈÌÈ ÒÀ ÏÀÐÀÌÅÒÐÈ ÔÓÍÊÖ²ÎÍÓÂÀÍÍß ÒßÃÎÂÈÕ ÅËÅÊÒÐÎÌÅÕÀͲ×ÍÈÕ ÊÎÌÏËÅÊѲ ÐÓÄÍÈÊÎÂÈÕ ÊÎÍÒÀÊÒÍÈÕ ÅËÅÊÒÐÎÂÎDz  ÇÀ˲ÇÎÐÓÄÍÈÕ ØÀÕÒÀÕ
Î. Ì. ѳí÷óê, ². Î. ѳí÷óê, Â. Î. Ôåäîòîâ, Â. Î. ×îðíà
22
ÒÐÈÔÀÇÍÈÉ ÏÀÐÀËÅËÜÍÈÉ ÑÈËÎÂÈÉ ÀÊÒÈÂÍÈÉ Ô²ËÜÒÐ Ç Ï²ÄÑÈÑÒÅÌÎÞ ÏÎÏÅÐÅÄÍÜÎÃÎ ÇÀÐßÄÓ ÊÎÍÄÅÍÑÀÒÎÐÀ
Ð. Â. Âëàñåíêî, Î. Â. Áÿëîáðæåñüêèé, Ì. Ä. Êîáåëÿöüêèé, Ñ. Ì. ßêèìåöü
28

²íôîðìàö³éí³ ñèñòåìè ³ òåõíîëî㳿. Ìàòåìàòè÷íå ìîäåëþâàííÿ

×ÀÑÒÎÒÍÈÉ ÎÏÒÈ×ÍÈÉ ÏÅÐÅÒÂÎÐÞÂÀ× ÍÀ ÎÑÍβ ÄÂÎÇÀÒÂÎÐÍÈÕ ÌOÍ-ÒÐÀÍÇÈÑÒÎв ÒÀ ÔÎÒÎÐÅÇÈÑÒÎÐÀ
Â. Ñ. Îñàä÷óê, Î. Â. Îñàä÷óê, Î. Î. Ñåëåöüêà, Ë. Â. Êðèëèê, Î. Ì. Æàãëîâñüêà
35
ÌÀÒÅÌÀÒÈ×ÍÀ ÌÎÄÅËÜ ÒÅÏËÎÂÎÃÎ ÏÐÎÖÅÑÓ ²Ç ÍŲÄÎÌÎÞ ÔÓÍÊÖ²ªÞ ÄÆÅÐÅËÀ
Î. Á. Êîáèëüñüêà, Â. Ï. Ëÿøåíêî
41
ÌÎÄÅËÜ ÒÅÏËÎÎÁ̲ÍÓ Ó ÑÔÅÐÈ×Í²É ÎÁËÀÑÒ²
Î. Ï. Äåì’ÿí÷åíêî
46
ÌÀÒÅÌÀÒÈ×ÍÀ ÌÎÄÅËÜ ÎÊÎÐÓÕÎÂÎÃÎ ÀÏÀÐÀÒÓ ËÞÄÈÍÈ Â ÍÎÐ̲
Ñ. Ã. ijáðîâà, Ä. Â. Êóõàðåíêî, Â. ². ªì÷åíêî
53
²ÐÒÓÀËÜͲ ÌÎÄÅ˲  ÏÐÎÅÊÒÓÂÀÍͲ вÂÍÎÍÀÏÐÓÆÅÍÈÕ ÄÅÒÀËÅÉ ÌÀØÈÍ
Î. Ë. Ñòàíîâñüêèé, ª. Î. Íàóìåíêî, ². À. Ñàóõ, Î. Àáó Øåíà
59
ÌÎÄÈÔ²ÊÎÂÀÍÀ ÌÎÄÅËÜ ÎÖ²ÍÊÈ ²ÍÂÅÑÒÈÖ²ÉÍÎÃÎ ÏÎÐÒÔÅËß Ç ÓÐÀÕÓÂÀÍÍßÌ ÑÈÑÒÅÌÀÒÈ×ÍÎÃÎ ÐÈÇÈÊÓ
Î. Â. Âîëîøèíà, Ò. À. Ãðèãîðîâà, À. Ê. Àóåëáåêîâà
65
²ÍÆÅÍÅÐÍÀ ÌÅÒÎÄÈÊÀ ÎÏÒÈ̲ÇÀÖ²ÉÍÎÃÎ ÐÎÇÐÀÕÓÍÊÓ ÐÅÆÈ̲ ÏËÀÊÓÂÀÍÍß ÏÐÎÊÀÒÊÎÞ
Â. Â. Äðàãîáåöüêèé, Î. Â. Çàãîðÿíñüêèé, ². ². Ôåäîðàê
86

Ñó÷àñí³ òåõíîëî㳿 â ìàøèíîáóäóâàíí³, òðàíñïîðò³ òà ã³ðíèöòâ³

ÓÄÎÑÊÎÍÀËÅÍÍß Ì²ÑÜÊί ÒÐÀÍÑÏÎÐÒÍί ÑÈÑÒÅÌÈ
Ì. Ì. Ìîðîç, Ñ. C. Êîðîëü, À. Þ. Ïë³÷êî
71
ÏÅÐÑÏÅÊÒÈÂÍÈÉ ÊÎÍÖÅÏÒ ÓÏÐßÆÍί ÑÈÑÒÅÌÈ ÇÀ˲ÇÍÈ×ÍÈÕ ÍÀϲÂÂÀÃÎͲÂ
Î. Â. Ôîì³í, Ì. ². Ãîðáóíîâ, À. Î. Ëîâñüêà
76

Åêîëîã³÷íà áåçïåêà

ÌÎÆËȲ ÑÏÎÑÎÁÈ ÇÁÈÐÀÍÍß Ö²ÀÍÎÁÀÊÒÅÐ²É Ç ÏÎÂÅÐÕͲ ÂÎÄÎÉÌÈ
Ì. Î. ªë³çàðîâ, Ñ. Â. ijãòÿð, Ñ. Â. Øëèê
91
ÀÍÀË²Ç ÏÐÎÁËÅÌ ÅËÅÊÒÐÎÌÀÃͲÒÍÎÃÎ ÇÀÁÐÓÄÍÅÍÍß ÄÎÂʲËËß Ó ÐÎÇвDz ÔÎÐÌÓÂÀÍÍß ÌÅÒÎÄÎËÎò¯ ÅÊÎËÎò×ÍÎÃÎ ÌÎͲÒÎÐÈÍÃÓ ÄÀÍÎÃÎ ÂÈÄÓ ÅÊÎËÎò×Íί ÍÅÁÅÇÏÅÊÈ
Â. Ñ. Áàõàðºâ, À. Â. Ìàðåíè÷, Â. Ã. Âîëîøèíà
96
ÌÅÒÎÄÎËÎò×Ͳ ÎÑÍÎÂÈ ÊÐÈÒÅвÀËÜÍί ÊÎÌÏËÅÊÑÍί ÎÖ²ÍÊÈ ÅÔÅÊÒÈÂÍÎÑÒ² ÔÓÍÊÖ²ÎÍÓÂÀÍÍß ÑÈÑÒÅÌÈ ÓÏÐÀÂ˲ÍÍß ÅÊÎËÎò×ÍÎÞ ÁÅÇÏÅÊÎÞ ÏÐÎÖÅÑÓ ÅÊÑÏËÓÀÒÀÖ²¯ ÅÍÅÐÃÅÒÈ×ÍÈÕ ÓÑÒÀÍÎÂÎÊ
Ñ. Î. Âàìáîëü, Î. Ì. Êîíäðàòåíêî, Â. Â. Âàìáîëü, Î. Â. ̺òºëüîâ
104
ÎÒÐÈÌÀÍÍß ÍÎÂÈÕ ÒÈϲ ÑÎÐÁÅÍҲ ÄËß ÂÈËÓ×ÅÍÍß ÂÀÆÊÈÕ ÌÅÒÀ˲ ²Ç ÂÎÄÍÈÕ ÐÎÇ×ÈͲÂ
Î. Â. ªãîðîâà
111

Ïðèðîäíè÷³ íàóêè

ÐÀÍͲ ÒÀ ϲÇͲ ÓËÜÒÐÀÑÒÐÓÊÒÓÐͲ Ç̲ÍÈ Â Ê˲ÒÈÍÀÕ Ï²ÄØËÓÍÊÎÂί ÇÀËÎÇÈ Ï²ÑËß Ä²¯ ÍÈÇÜÊÈÕ ÒÅÌÏÅÐÀÒÓÐ: ÅÊÑÏÅÐÈÌÅÍÒÀËÜͲ ÄÎÑ˲ÄÆÅÍÍß
Ì. Ì. Êîðïàí, Î. Î. Ëèòâèíåíêî, Â. Î. Ñóøêî, Â. Ì. Ëåùåíêî, Á. Ï. Ñàíäîìèðñüêèé, ². Þ. Õóäåöüêèé, Ì. Ì. Øåâ÷åíêî
116
ÊвÎÕ²ÐÓÐÃ²ß ÏÅÐÂÈÍÍÎÃÎ ÐÀÊÓ ÌÎËÎ×Íί ÇÀËÎÇÈ ÊÎÌÁ²ÍÎÂÀÍÀ Ç ²ÍÒÐÀÎÏÅÐÀÖ²ÉÍÎÞ ²Í’ªÊÖ²ªÞ ÌÅÒÈËÅÍÎÂÎÃÎ ÔÀÐÁÍÈÊÀ Ï²Ä ÊÎÍÒÐÎËÅÌ ÓËÜÒÐÀÇÂÓÊÓ
Ì. Ì. Êîðïàí, Î. Î. Ëèòâèíåíêî, Â. Î. Ñóøêî, Â. Ì. Ëåùåíêî, Á. Ï. Ñàíäîìèðñüêèé, ². Þ. Õóäåöüêèé, Ì. Ì. Øåâ÷åíêî
124

Ãóìàí³òàðí³ íàóêè

ÄÅÊËÀÐÓÂÀÍÍß ÍÅÄÎÑÒβÐÍί ²ÍÔÎÐÌÀÖ²¯: ÀÍÀË²Ç ÑÊËÀÄÓ ÇËÎ×ÈÍÓ
². ². Ìèòðîôàíîâ
134

Electromechanical systems and automation.
Electric machines and devices. Power engineering

ENERGY EFFICIENT START MODES OF TRACTION ELECTRICAL SYSTEMS OF MINE ELECTRIC LOCOMOTIVES
À. Nekrasov, V. Chorna, A. Dmytrenko, A. Blinova
9
FUZZY-PID CONTROLLER IN THE PULSE WIDTH MODULATION SYSTEM FOR CONTROLLING OF THREE-PHASE PARALLEL ACTIVE POWER FILTER CONVERTER
R. Vlasenko, O. Bialobrzeski, C. Bondarenco, S. Yakimets
15
MODES AND PARAMETERS OF FUNCTIONING OF TRACTION ELECTROMECHANICAL COMPLEXES MINER CONTACT ELECTRIC IN IRON MINES
O. Sinchuk, I. Sinchuk, V. Fedotov, V. Chorna
22
THREE-PHASE PARALLEL ACTIVE POWER FILTER SYSTEM PRE-CHARGE CAPACITOR
R. Vlasenko, O. Bialobrzeski, M. Kobeliatskiy, S. Yakimets
28

Information systems and technologies. Mathematical modeling

FREQUENCY OPTICAL TRANSDUCER BASED ON DUAL-GATE MOSFET AND PHOTORESISTOR
V. Osadchuk, O. Osadchuk, O. Seletska, L. Krylik, O. Zhaglovska
35
MATHEMATICAL MODEL OF THERMAL PROCESS WITH AN UNKNOWN SOURCE
O. Kobilskaya, V. Lyashenko
41
HEAT EXCHANGE MODEL IN THE SPHERICAL AREA
O. Demyanchenko
46
MATHEMATICAL MODEL OF THE HUMAN OCULOMOTOR SYSTEM IN NORM
S. Dibrova, D. Kuharenko, V. Yemchenko
53
THE VIRTUAL MODELS IN EQUAL-STRESSED MACHINE PARTS DESIGN
À. Stanovskyi, Y. Naumenko, I. Saukh, Î. Abu Shena
59
MODIFIED MODEL OF INVESTMENT PORTFOLIO OPTIMIZATION WHICH INCLUDES SYSTEMATIC RISKS LEVEL
O. Voloshyna, T. Grygorova, A. Auelbekova
65
ENGENEERING PROCEDURE OF OPTIMIZATION CALCULATION OF MODES OF CLADDING BY ROLLING
V. Dragobetskii, O. Zagoryanskii, I. Fedorak
86

Advanced technologies in machine construction, transport and mining industries

IMPROVEMENT OF URBAN TRANSPORT SYSTEM
M. Moroz, S. Korol, À. Plichko
71
PROSPECTIVE CONCEPT OF THE DRAFT SYSTEM OF OPEN BOXCARS
O. Fomin, N. Gorbunov, A. Lovskaya
76

Environmental safety

THE FEASIBLE METHODS FOR CYAN BACTERIA HARVESTING FROM THE WATER BODY SURFACE
Ì. Yelizarov, S. Digtiar, S. Shlyk
91
THE ENVIRONMENTAL ELECTROMAGNETIC POLLUTION PROBLEMS ANALYSIS IN THE CONTEXT OF THIS TYPE OF ENVIRONMENTAL HAZARD ENVIRONMENTAL MONITORING METHODOLOGY FORMATION
V. Bakharev, A. Marenych, V. Voloshyna
96
METHODOLOGICAL BASICS OF CRITERIAL INTEGRATED ASSESSMENT OF ECOLOGICAL SAFETY MANAGEMENT SYSTEM FUNCTIONING EFFICIENCY OF POWER PLANTS EXPLOITATION PROCESS
S. Vambol, O. Kondratenko, V. Vambol, O. Mietielov
104
OBTAINING OF NEW TYPES SORBENTS FOR THE EXTRACTION OF HEAVY METALS FROM AQUEOUS SOLUTIONS
O. Yegorova
111

Natural sciences

EARLY AND LATE ULTRASTRUCTURAL CHANGES IN PANCREATIC CELLS FOLLOWING LOW TEMPERATURE EXPOSURE: AN EXPERIMENTAL STUDY
N. Korpan, O. Litvinenko, V. Sushko, V. Leshchenko, B. Sandomyrskyi, I. Khudetskyy, M. Shevchenko
116
CRYOSURGERY OF PRIMARY BREAST CANCEREN BLOC COMBINED WITH INTRAOPERATIVE ULTRASOUND-GUIDED TRACER INJECTION
N. Korpan, O. Litvinenko, V. Sushko, V. Leshchenko, B. Sandomyrskyi, I. Khudetskyy, M. Shevchenko
124

The humanities

DECLARATION THE FALSE INFORMATION: ANALYSIS THE STRUCTURE OF A CRIME
I. Mytrofanov
134