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  <front>
    <journal-meta>
      <journal-title-group>
        <journal-title>ORCID:</journal-title>
      </journal-title-group>
      <issn pub-type="ppub">1613-0073</issn>
    </journal-meta>
    <article-meta>
      <title-group>
        <article-title>Development of the reactive power compensation laboratory bench and its integration into the training simulator of dispatch control system</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Bohdan Orobchuk</string-name>
          <email>orobchuk@tu.edu.te.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Ivan Sysak</string-name>
          <email>sysak_i@tntu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Oleh Buniak</string-name>
          <email>buniak@tntu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Serhii Babiuk</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Vadym Koval</string-name>
          <email>koval_vadym@tntu.edu.ua</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ternopil Ivan Puluj National Technical University</institution>
          ,
          <addr-line>Ruska str., 56, Ternopil, 46000</addr-line>
          ,
          <country country="UA">Ukraine</country>
        </aff>
      </contrib-group>
      <volume>000</volume>
      <fpage>0</fpage>
      <lpage>0002</lpage>
      <abstract>
        <p>At present, the number of electrical energy consumers is growing, and they are constantly loading electrical network with reactive component of power consumption. Reactive current circulating between the generator and the consumer is converted into thermal energy in power distribution system, thus creating additional load on generators, transformers, cables and distribution device contributing to power losses and voltage drops. The application of special reactive power compensation devices can improve the reliability of power networks and increase power system capacity. The use of compensation devices reduces network interference, avoids deep voltage sags and minimizes phase asymmetry, and reduces energy consumption up to 50% of the total consumption. The application of compensation devices makes it possible to avoid penalties from electric power supplier for power factor indicators deterioration. The effectiveness of these devices largely depends on the training of personnel who will maintain them. The development of laboratory bench designed for the investigation of the impact of reactive power compensation in current consumers on voltage and energy losses in power transmission lines and its integration into the training simulator of dispatch control system is considered in this paper.</p>
      </abstract>
      <kwd-group>
        <kwd>Keywords1</kwd>
        <kwd>software</kwd>
        <kwd>induction motor</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>-</title>
      <p>EMAIL:</p>
      <p>2020 Copyright for this paper by its authors.</p>
    </sec>
    <sec id="sec-2">
      <title>1. Introduction</title>
      <p>CEUR</p>
      <p>
        ceur-ws.org
consumption, which affects its economic efficiency. In conditions of power shortage in order to unload
the power system and uninterrupted power supply, as well as to reduce electrical energy losses, it is
necessary to install compensation devices at the enterprises to ensure the reactive power balance. Excess
of reactive power in energy system results in the increase of voltage in electrical network nodes due to
the occurrence of active power counter-flows [
        <xref ref-type="bibr" rid="ref3">3, 18</xref>
        ].
      </p>
      <p>
        The most effective way concerning reactive transmission parameters compensation at industrial
enterprises is the use of capacitor units (CUs) - batteries of power capacitors connected in series with
low specific costs for generating reactive power. For reactive power compensation, the following types
of compensation are possible: individual (unregulated); group (unregulated); centralized (regulated) [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ].
      </p>
      <p>
        As a rule at industrial enterprises, the individual type of compensation is used, where CU is
installed directly next to the electrical receiver and the switch of the electrical receiver is commutated
simultaneously with CU, and the greatest reduction in power and electrical energy losses is reached.
Such type of reactive power compensation is used for electric receivers with power of more than 20 kW
[
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The disadvantage of the given type of compensation is the requirement of adjusting CU capacity
with the electrical receiver induction. While choosing CU capacities, it is necessary to compensate the
part of reactive power of the enterprise (workshop) and avoid the phenomenon of reactive power
transfer to the electrical network. Such situation is possible with changes the enterprise reactive load.
In this case, CUs are sectioned by degrees, i. e., the sections are turned on/off depending on the specified
parameters: voltage level, power factor value, period of the day. Static elements of reactive power make
it possible to use the regulating link [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ] while connecting capacitor batteries, i.e., CU reactive power
control is carried out in stages, by dividing the batteries into parts (basic and regulating). Stepwise CU
control is carried out manually or automatically. Automatic CU control is carried out as the function:
by voltage, load current, reactive power direction.
      </p>
      <p>Therefore, the trouble-free operation of equipment in peak load modes depends on how
technically competently the problem of reactive power compensation on links up to 1 kV is solved.</p>
      <p>For installations requiring variable reactive power, permanently switched on capacitor banks
are not acceptable, as this may result in undercompensation or overcompensation. In this case, the
capacitor unit is equipped with specialized controller and switching and protective equipment. If the
value of cosφ deviates from the set value, the controller connects or disconnects the capacitor stages.
2.</p>
    </sec>
    <sec id="sec-3">
      <title>Development of reactive power compensation laboratory bench</title>
      <p>
        In order to improve the quality of education and introduce modern information technologies into the
educational process the training laboratory bench for investigating the reactive power compensation in
low-voltage electrical networks was developed at the Department of Electrical Engineering of Ternopil
Ivan Puluj National Technical University [
        <xref ref-type="bibr" rid="ref5">5, 19</xref>
        ].
      </p>
      <p>The basic element of the developed training laboratory bench is the reactive power controller PFC6
RS, which is designed to regulate the power factor in 50 Hz low-voltage networks with the ability to
control reactive power compensation units with 6 contactor outputs (Fig. 2).</p>
      <p>
        The reactive power controller converts linearly measured voltage and current in the measured phase
into digital form. Further the device processes these values, calculates the power factor, effective
voltage and current values, as well as their harmonic distortions. Calculation of the required power for
compensation is carried out by comparing the set value of the reactive power factor with its current
value. Based on these values, the controller will turn on or off the corresponding capacitor stages [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
The proposed scheme for connecting the reactive power compensation controller to the load, which will
be used during laboratory work is shown in Fig. 2.
      </p>
      <p>
        Within each power level, the regulator uses ring switching method in order to use the uniform
resource of capacitor banks, where the stage disconnected for the longest time is connected in order to
ensure the required power level. This makes it possible to provide the optimal level of compensation
during one control cycle with minimum number of connected stages. The reactive power controller can
analyze current and voltage harmonics up to the 19th harmonic and calculates THD coefficient (electric
power quality index) by voltage and current [
        <xref ref-type="bibr" rid="ref7">7, 19</xref>
        ].
      </p>
      <p>The main unit of the developed laboratory bench consists of the metal power cabinet with 5 capacitor
banks of different ratings, 5 magnetic contactors, 5 three-phase fuses and circuit breaker (Fig. 3). All of
the above listed equipment is from ETI Company[8, 20].</p>
      <p>PFC 6RS reactive power controller is located on the front panels of the power cabinet and is housed
in the metal case, which ensures high electromagnetic protection during the installation operation. The
handle of the circuit breaker is also placed on the front panel of the power cabinet (Fig. 3). The wires
are connected to the terminal blocks located on the controller back side. The measuring and power
terminals are connected to the regulated network and are protected by fuses. The operating voltage of
the reactive power compensation laboratory bench is 380 V. The load is the induction motor. At
startup the cosϕ load is approximately 0.2.</p>
      <p>In order to investigate reactive power compensation in laboratory conditions, the model of power
transmission line with active resistance, active-inductive load R, XL (the stationary induction electric
motor switched on according to the triangle scheme), and capacitor bank with adjustable capacity were
used. The scheme shown in Fig. 2 is best suited for real demonstration experiment in laboratory
conditions.</p>
    </sec>
    <sec id="sec-4">
      <title>3. Bench integration into the training simulator of the dispatch control system</title>
      <p>PFC reactive power controller has data transfer interface according to Modbus RTU protocol, as
well as configurable discrete inputs and outputs. The display shows the installation status and main
parameters (Fig. 4). Due to the display and buttons on the front panel, by means of the menu, you can
perform all necessary settings and view diagnostic information. The presence of data transfer interface
makes it possible to receive information about the controller status, adjust the operation parameters and
send control commands remotely. This provides the possibility of including reactive power
compensation with PFC 6RS control unit into the monitoring and dispatching system</p>
      <p>Therefore, the decision to integrate the developed laboratory bench into the training SCADA system
“Energy” of the software and hardware complex “Strila” was made [9, 18]. This system is the simulator
of the automated dispatch control system for investigating and controlling the electric power system
modes [10]. The simulator is the hardware and software complex and is used in the educational process
to deliver classes on emergency training exercises with the reflection of operational situation in electric
power system. The simulator makes it possible to simulate the electrical network operation modes
during the classes, as well as to connect various executive mechanisms and equipment and to control
them remotely The developed laboratory bench based on the reactive power controller, together with
the developed software, will become a part of the laboratory complex for the construction of TVcontrol
and dispatch control systems in electric power industry [11].</p>
      <p>In order for the hardware and software complex to be able to exchange data with PFC 6 RS reactive
power controller, it is necessary to write the exchange program based on Modbus RTU protocol [12].
Below is given the text of the developed data exchange program based on this protocol, i.e. Modbus
RTU device card file containing the main commands from the available list which will be used by
“Strila” hardware and software complex. Only part of the available commands of PFC 6 RS reactive
power compensation controller register are used here, if necessary, these commands can be added to
the developed laboratory bench software.</p>
      <p>Modbus RTU device card file
[GENERAL]
AddressDecrement=0
[REQWEST]
;Start address, number of registers, Modbus command, group 101, whether included in the general protocol
reqwest01=58,14,3,1,1
reqwest02=150,15,3,1,1
reqwest03=166,11,3,1,1
reqwest04=250,3,3,1,1
[TVLIST]
;Start address, offset (for a bit), data type, scale (coefficient), start of scale
;Data types 0: ui16 1: i16 2: ui32 3: i32 4: float32
; 5: float48 6: Int64 7: float64 8: float80
; Start address, offset (for a bit), data type, scale
;Step1 – Selection of the 1st stage capacitor (1 kVAr, 400 V)
tv001=21,0,1,1
;Step2 – Selection of the 2nd stage capacitor (1 kVAr, 400 V)
tv002=22,0,1,1
;Step3– Selection of the 3rd stage capacitor (1 kVAr, 400 V)
tv003=23,0,1,1
;Step4– Selection of the 4th stage capacitor (2,5 kVAr, 400 V)
tv004=24,0,1,1
;Step5– Selection of the 5th stage capacitor (2,5 kVAr, 400 V)
tv005=25,0,1,1
;Step6– Selection of the 6th stage capacitor (reserve)
tv006=26,0,1,1
;SHtd – Control delay during overcompensation
tv013=33,0,1,1
;CoSF(phi) (32-bit float0) - Current cos value
tv014=50,0,4,1
;I_AP(A) (32-bit float0) – Phase current, А
tv015=60,0,4,1
;THD_i() (32-bit float0) - Emergency alarm by current
tv016=62,0,4,1
;U_EF(V) (32-bit float0) – Phase voltage, V
tv017=82,0,4,1
;THD_U() (32-bit float0) - Emergency alarm by voltage
tv018=84,0,4,1
;P_AP(ВА) (32-bit float0) – Complete three-phase power, VA
tv019=104,0,4,1
;P_AC(Вт) (32-bit float0) – Active three-phase power, W
tv020=106,0,4,1
;P_rC(ВАР) (32-bit float0) – Reactive three-phase power, VAr
tv021=108,0,4,1
;rC_P(ВАР) (32-bit float0) – Reactive power that is insufficient to reach the</p>
      <p>established cos, VAr
tv022=110,0,4,1
;F() – Network frequency, Hz
tv023=160,0,4,1
[OK]
ok=ok</p>
      <p>The developed program file of the device Modbus RTU card and PFC 6 RS reactive power
compensation controller itself are real model of “Energy” training SCADA system. In order to integrate
this model into SCADA system environment, graphical model (Fig. 5) and configuration file containing
the following data are created.</p>
      <p>Configuration file
[GENERAL]
ObjectCount=1 – the number of substations
ChannelsCount=1 – the number of communication channels
DisableCrashLog=1 — disable automatic creation of logs (by default, log data are written to the Logs directory,
or the program startup directory)
CheckInterval=1000 – control survey period in msec.</p>
      <p>CommonRequestInterval=30000 — total background survey period in msec.
; Modbus
[Channel1] - 1 communication channel is used
Type=1 - channel type (2 – TCP-IP, 1 – RS232)
Thread=1 – flow number
Port=7 – port number
Prm=19200-8-N-1 – RS232 connection parameters (19200 - frequency, 8 - 8 bits, N - pairing, 1 - stop bit))
ByteTimeOut=200 – waiting time for the next byte (0.2 sec)
DataReadTimeOut=3500 - Connection to the port, the program waits for data from the equipment for 3.5
seconds.</p>
      <p>DeffaultTimeout=2000 - While starting the equipment from the command line, the default standby time is 2
seconds
Description=Modbus – Description of the messaging structure for establishing chief-subordinate
communication between intelligent devices
[Object1]
Type=7
ModbusTCP=0 - The applied protocol is not classic Modbus TCP, but specialized one
Modbus RTU
Address=41 –model address
Channel=1 – the 1st communication channel
Paused=0 – survey delay time
// Modbus RTU card file name of the device
Map=PFC6 – object model
Description=KRP(PFC6) – model description
[MainForm] - parameters of the main window for viewing data exchange logs (is filled</p>
      <p>automatically).</p>
      <p>The program communicates with the equipment via communication channel, which is RS232-RS485
communication channel connection. Then the data are transferred to the equipment model, where
messages are processed. From the equipment model, the data are transferred to the real model, where
the final processing is carried out.</p>
      <p>In the real model, the message is fixed in database, the emergency situation is analyzed, and all
information about the current model status is stored. During the work, the student uses the graphic
model which requests data from the real model and displays it in the form common to the user
mnemonic circuits (Fig. 5).</p>
      <p>B-0.4 switch, which is in the off state (red color) is shown in the graphic model. 5 cosine capacitors
of different capacities: three of 1 kVAr and two of 2.5 kVAr are also shown. The laboratory installation
can compensate maximum up to 8 kVAr, and such capacitors set makes it possible to obtain different
values of the compensated power. Each capacitor is equipped with the key (Page 1 - Page 5). During
the laboratory installation operation, the keys on mnemonic circuit are closed, i.e., they show which
capacitors participate in reactive power compensation.</p>
      <p>Also, for the data analysis convenience, the mnemonic circuit shows the value of the total
threephase power Р_АР (kVA), the value of active three-phase power Р_АС (kW), the value of reactive
three-phase power Р_rC (kVAr), the value of the reactive power that is insufficient to achieve the set
cosφrC_P (kVA), the value of power factor cos, current І (A), voltage U (V) and network frequency
F (Hz).</p>
    </sec>
    <sec id="sec-5">
      <title>Investigation of the laboratory bench operation</title>
      <p>Reactive power has two types: inductive, which is generated by electromagnetic devices, and
capacitive, produced by differently polarized wires separated by insulator [13]. Both types of reactive
power occurs and disappear in counter-phase to each other and can mutually cancel each other
(compensate) if they are equal in magnitude. However, their mutual equality is a rare phenomenon, as
inductive power often prevails. Equality can be achieved artificially by connecting capacitor banks with
adjustable capacity.</p>
      <p>The traditional theoretical approach in the electric power industry assumes that inductance is
perceived as a consumer of reactive power (QL), and capacity as its generator (QC).</p>
      <p>Reactive power is measured in volt-ampere-reactive (VAR) or kilovolt-ampere reactive (kVAr). The
ratio of all components of the total power S is shown by the following formulas [14]:
(1)
(2)
(3)
(4)
S  P2  (QL  QC )2 ; I  IActive  (IL  IC )2 .</p>
      <p>2
QL and QC values can be determined by the following formulas:</p>
      <p>QL  I 2  X L; QC  I 2  XC ,
where XL and XC are inductive and capacitive resistance, respectively.</p>
      <p>The indicator of reactive power compensation efficiency is cos value:</p>
      <p>With inductive power, сosφ is positive, with capacitive power, it is negative. At complete
compensation (or purely active load), сos = 1.</p>
      <p>During the transmission of electrical energy by electrical lines, voltage and power losses occur,
their values depend on the magnitude of the transmitted current (power) and wires resistance according
to the following equation:
U  PActive  P  Q  X  PActive  R </p>
      <p>U U</p>
      <p>Q  X</p>
      <p>U
 U Active  U X ,
where ΔUX – additional voltage losses generated by reactive power consumed from the network.</p>
      <p>P  PActiUve Q2  R  PUA2ct2ive  R  UQ22  R  PActive  PQ , (5)
where ΔPQ– additional active voltage losses produced by reactive power transmission Q2.</p>
      <p>The above-mentioned theoretical investigations and formulas served as the basis for the object
model construction during the software development. Reactive power compensation affects the most
important indicators of electrical energy quality - voltage deviation and fluctuation in the load nodes.
Therefore, the task of reactive power compensation should be solved in conjunction with the task of
maintaining the voltage within the limits set by the state standards [15].</p>
      <p>In order to carry out real demonstration experiment in laboratory conditions, the connection
scheme shown in Fig. 6 is the best one. The selection of capacitor banks as compensating devices is
determined by the ease of installation and operation, the ability of changing the generated reactive
power within wide range with step control, small specific losses of active power for the reactive
component production, which is an order of magnitude less than for other sources of reactive power
[16].</p>
      <p>It should be taken into account that the excessive capacity of the capacitors not only compensates
the inductive component of consumer's current, but also produces excessive capacitive current
component, which is also undesirable as it generates voltage and power losses in the line.</p>
      <p>Achievement of the set goal in this work is based on the basic laws of electrical engineering and is
performed due to the application of modern digital devices. The task of the tests is to determine the
compensation effect (capacitor bank connection) on the magnitude of power and voltage losses in the
line. For this purpose, current, voltage and power are measured at the beginning of the line and the same
parameters are measured in the consumer circuit (the windings of induction motor connected at the end
of the line are used as inductive load), and сosφ value is determined. These measurements can be carried
out at different values of the line active resistance (R) and the number of connected capacitors (С1, С2,
...).</p>
      <p>Graphical model of the laboratory bench for the investigation of reactive power compensation with
connected load is shown in Fig. 7.</p>
      <p>It is obvious from Fig. 7 that after the load connection (switch B-0.4 is green), the system selects the
necessary combination of capacitors to provide reactive power compensation. In this case, the first, the
second and the fourth capacitors are connected: 1 kVAr, 1 kVAr, and 2,5 kVAr, respectively. For
convenience, the keys by which these capacitors are connected, are closed and are represented in green
colour.</p>
      <sec id="sec-5-1">
        <title>On the instrument panel, you can see that active power is P  1, 04 kW, reactive power is</title>
      </sec>
      <sec id="sec-5-2">
        <title>Q  0, 76 kVAr. Hence, according to the well-known formula [13, 21]:</title>
        <p>On the instrument panel, the power factor is also equal to 0,81.</p>
        <p>The same value is shown on the control panel display of the reactive power compensation laboratory
bench (Fig. 8).
This confirms the verification of power factor values obtained by means of reactive power
compensation laboratory bench and the proposed software package.</p>
        <p>Also , it can be seen from Fig. 8, that 1, 2 and 4 indicators glow, indicating which capacitors are
connected at the moment.</p>
        <p>The application of reactive power compensation means makes it possible to reduce significantly the
electricity losses during its transportation by reducing power transmission lines heating. The use of
special reactive power compensation devices has a number of advantages, the main ones among them
are: improvement of power supply quality, increase of the equipment service life, savings in costs for
power supply networks arrangement, absence of fines, energy consumption savings [17, 22].</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>5. Acknowledgements</title>
      <p>The authors express their gratitude to “LEP” LTD company, particularly, to Deputy Director Serhii
Pankiv, engineers Vasyl Ivantsiv and Ivan Kapichovskyi, as well as to the software designers from
Ternopil Design Bureau of Radio Engineering “Strila”, in particular to its Director Oleksandr Rafaliuk
and programmer Serhii Dudin.
6. References
tekhnolohyi, 3(8 (69)), 10-17. 8. Produktsiia kompanii ETI. Ofitsiinyi sait kompanii "ETI Ukraina".
https://www.eti.ua/pro-kompaniyu</p>
      <p>9. Avtomatyzovana systema dyspetcherskoho keruvannia "Strila". Tekhnichnyi opys I instruktsiia
z ekspluatatsii. – Ternopil, 2010</p>
      <p>10. B. Orobchuk, B., Sysak, I., Babiuk, S., Rajba, T., Karpinski, M., Klos-Witkowska, A., ...
Gancarczyk, J. (2017, September). Development of simulator automated dispatch control system for
implementation in learning process. In 2017 9th IEEE International Conference on Intelligent Data
Acquisition and Advanced Computing Systems: Technology and Applications (IDAACS) (Vol. 1, pp.
210-214). IEEE.</p>
      <p>11. Orobchuk, B. Ya. (2017). Laboratornyi kompleks dlia pobudovy system telekeruvannia I
dyspetcherskoho upravlinnia v elektroenerhetytsi. Materialy ⅩⅩ naukovoi konferentsii
Ternopilskohonatsionalnoho tekhnichnoho universytetu imeni Ivana Puliuia, 170-171.</p>
      <p>12. Modbus Technical Resources [Electronic resource], Modbus – Access mode:
https://modbus.org/tech.php</p>
      <p>13. Verbytskyi, I., Prybudko, R., Zinchenko, D., Matsyuk, M. (2018). Kompensator reaktyvnoi
potuzhnosti u perekhidnykh rezhymakh. Visnyk Natsionalnoho tekhnichnoho universytetu "KhPI".
Seriia: Novi rishennia u suchasnykhtekhnolohiiakh, 2(26 (1302)), 121-125.</p>
      <p>14. Aleksander Kot, Wiesław Nowak, Waldemar Szpyra, Rafał Tarko. Efficiency improvement of
reactive power compensation in power distribution networks. Przeglad elektrotechniczny. 2013. No 6.
Pp. 190-195.</p>
      <p>15. Ukrainy, D. (2014). Kharakterystyky napruhy elektropostachannia v elektrychnykh merezhakh
zahalnoi pryznachenosti. DSTU EN 50160: 2014 (EN 50160: 2010, IDT).</p>
      <p>16. Shesterenko, V. Ye., Siryi, O. M., Mashchenko, O. A., Baliuta, S. M. (2008). Sposib
pidkliuchennia kondensatoriv indyvidualnoi kompensatsii reaktyvnoi potuzhnosti asynkhronnoho
dvyhuna (patent nakorysnu model 34943).</p>
      <p>17. Orobchuk B., Vishtal A. Avtomatychnyi rehuliator kompensatsi ireaktyvnoi potuzhnosti na
promyslovykh pidpryiemstvakh. - Materialy VII Mizhnarodnoi naukovo-tekhnichnoi konferentsii
molodykh uchenykh ta studentiv. Aktualni zadachi suchasnykh tekhnolohii – Ternopil 28-29 lystopada
2018.</p>
      <p>18. Hanan Tariq, Stanislaw Czapp, Sarmad Tariq, Khalid Mehmood Cheema, Aqarib Hussain,
Ahmad H. Milyani, Sultan Alghamdi, Z. M. Salem Elbarbary, "Comparative Analysis of Reactive
Power Compensation Devices in a Real Electric Substation", Energies, vol.15, no.12, pp.4453, 2022
19. Tudose, A.M.; Picioroaga, I.I.; Sidea, D.O.; Bulac, C. Solving Single- and Multi-Objective
Optimal Reactive Power Dispatch Problems Using an Improved Salp Swarm Algorithm. Energies 2021,
14, 1222. [Google Scholar] [CrossRef]</p>
      <p>20. Zhang, X.; Chen, Y.L.; Wang, Y.X. Reactive power-voltage zoning method for wind power
grid based on power flow cross section correction. Electr. Power Autom. Equip. 2019, 39, 48–54.
[Google Scholar]</p>
      <p>21. Li, P.; Wang, J.H.; Xu, X. Robust Reactive Power Partitioning Method for Frequent Power
Flow Fluctuation in New Power System. Autom. Electr. Power Syst. 2022, 46, 102–110. [Google
Scholar]</p>
      <p>22. A. Jafari, H. Ganjeh Ganjehlou, T. Khalili, B. Mohammadi-Ivatloo, A. Bidram, and P. Siano,
“A two-loop hybrid method for optimal placement and scheduling of switched capacitors in distribution
networks”, IEEE Access , вип. 8, стор. 38892–38906, 2020.</p>
    </sec>
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  <back>
    <ref-list>
      <ref id="ref1">
        <mixed-citation>
          1.
          <string-name>
            <surname>Malohulko</surname>
          </string-name>
          ,
          <string-name>
            <surname>Yu</surname>
          </string-name>
          . V.,
          <string-name>
            <surname>Holovko</surname>
            ,
            <given-names>T. I.</given-names>
          </string-name>
          (
          <year>2021</year>
          ).
          <article-title>Analiz stanu ta problem keruvannia normalnymy ta avariinymy rezhymamy rozpodilnykh elektrychnykh merezh z ob'iektamy rozoseredzhenoho heneruvannia (Doctoral dissertation</article-title>
          , VNTU).
        </mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation>
          2.
          <string-name>
            <surname>Zorin</surname>
            ,
            <given-names>Ye. Yu.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Chepeliuk</surname>
            ,
            <given-names>O. O.</given-names>
          </string-name>
          (
          <year>2023</year>
          ).
          <article-title>Modeliuvannia avariinykh rezhymiv nedopustymykh vidkhylen napruhy v elektrychnii merezhi zhyvlennia odnofaznykh pobutovykh spozhyvachiv</article-title>
          .
        </mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation>
          3.
          <string-name>
            <surname>Antoniuk</surname>
          </string-name>
          ,
          <string-name>
            <surname>Ye</surname>
          </string-name>
          . O.
          <article-title>Pidvyshchennia efektyvnosti funktsionuvannia elektrychnykh system iz vykorystanniam zasobiv kompensatsii</article-title>
          .
        </mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation>
          4.
          <string-name>
            <surname>Buslavets</surname>
            ,
            <given-names>D.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Okhrimenko</surname>
            ,
            <given-names>V.</given-names>
          </string-name>
          (
          <year>2020</year>
          ).
          <article-title>Shliakhy optymizatsii rozpodilnykh merezh za reaktyvnoiu potuzhnistiu. nauka, tekhnolohii, innovatsii: tendentsiirozvytku v ukraini ta sviti</article-title>
          ,
          <volume>34</volume>
          .
        </mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation>
          5.
          <string-name>
            <surname>Orobchuk</surname>
            ,
            <given-names>B.</given-names>
          </string-name>
          ,
          <string-name>
            <surname>Buniak</surname>
            ,
            <given-names>O.</given-names>
          </string-name>
          (
          <year>2018</year>
          ).
          <article-title>Metodyka zastosuvannia systemy keruvannia rezhymamy elektropostachannia u navchalnomu protsesi. M-voosvityinauky Ukrainy, Lutskyi natsion</article-title>
          . tekhn. un-t [ta in].-Lutsk: LNTU,
          <fpage>67</fpage>
          -
          <lpage>71</lpage>
          .
        </mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation>
          6.
          <article-title>Rehuliator koefitsiienta potuzhnosti PFC 6 RS. Ofitsiinyi sait kompanii "ETI Ukraina"</article-title>
          . https://www.eti.ua/produktsiya-ua/pfc/004656905-pfc
        </mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation>
          7.
          <string-name>
            <surname>Volodarskyi</surname>
          </string-name>
          , Ye. T.,
          <string-name>
            <surname>Voloshko</surname>
            ,
            <given-names>A. V.</given-names>
          </string-name>
          (
          <year>2014</year>
          ).
          <article-title>Systema monitorynhu yakosti elektrychnoi enerhii v detsentralizovanykh systemakh elektropostachannia. Vostochno-Evropeiskyi zhurnal peredovykh</article-title>
        </mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>