МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ

The article proposes a method of direct control of the static synchronous compensator (STATCOM) to reduce voltage fluctuations due to load and supply voltage instability in distribution electric networks. The operation of the STATCOM operating in the voltage stabilization mode of the 10 kV distribut...

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Дата:2026
Автори: Бурбело, М.Й., Бабенко, О.В.
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Мова:Англійська
Українська
Опубліковано: Інститут електродинаміки НАН України, Київ 2026
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Назва журналу:Technical Electrodynamics
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Technical Electrodynamics
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author Бурбело, М.Й.
Бабенко, О.В.
author_facet Бурбело, М.Й.
Бабенко, О.В.
author_institution_txt_mv [ { "author": "М.Й. Бурбело", "institution": "Вінницький національний технічний університет, вул. Хмельницьке шосе, 95, Вінниця, 21021, Україна" }, { "author": "О.В. Бабенко", "institution": "Вінницький національний технічний університет, вул. Хмельницьке шосе, 95, Вінниця, 21021, Україна" } ]
author_sort Бурбело, М.Й.
baseUrl_str https://techned.org.ua/index.php/techned/oai
collection OJS
datestamp_date 2026-07-09T13:26:48Z
description The article proposes a method of direct control of the static synchronous compensator (STATCOM) to reduce voltage fluctuations due to load and supply voltage instability in distribution electric networks. The operation of the STATCOM operating in the voltage stabilization mode of the 10 kV distribution electric network node is analyzed. The value of the compensator EMF is obtained, which provides a stable value of the load node voltage when the consumer load conductivity changes. The specified EMF is determined by the values of the increments of the active and reactive components of the load current, the voltage of the compensator connection node at a zero value of the STATCOM reactive current and the parameters of the electric network. The process of voltage stabilization in the load connection node under the condition of changes in the power source voltage and the corresponding compensator control law are analyzed, which involves the use of such informative parameters as the current and base values of the power source voltage, network parameters, and the voltage of the STATCOM connection node. Expressions for determining the EMF of the STATCOM, which provides a stable voltage at the compensator connection point and the load, as well as a zero value of the active power in the compensator circuit under unstable load conditions, as well as changes in the power supply voltage, are obtained. It is shown that for the efficient operation of the compensator, it is necessary to perform measurements of the load currents and the load bus voltage. The STATCOM operation is simulated under the condition of changing the active and reactive load of the consumer in the range of ±25% and fluctuations in the power supply voltage within 2%, which is most often observed in electrical networks.  It is shown that for an average load power of 4+j2 MVA and a stabilized voltage of 10.25 kV, the compensator power ranges from −0.57 MVAr to 2.4 MVAr. If the voltage stabilization level needs to be increased to 10.3 kV, the compensator power rises to 2.8 MVAr. References 16, Fig. 7, Table 1.
doi_str_mv 10.15407/techned2026.04.067
first_indexed 2026-07-02T01:01:40Z
format Article
fulltext ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 67 DOI: https://doi.org/10.15407/techned2026.04.067 DIRECT CONTROL METHOD FOR STATCOM TO MITIGATE VOLTAGE FLUCTUATIONS AT A DISTRIBUTION NETWORK LOAD BUS M.Y. Burbelo *, О.V. Babenko ** Vinnytsia National Technical University, Khmelnytskyi Highway, 95, Vinnytsia, 21021, Ukraine. Е-mail: burbelom@ukr.net; oleksij_babenko@ukr.net. The article proposes a method of direct control of the static synchronous compensator (STATCOM) to reduce voltage fluctuations due to load and supply voltage instability in distribution electric networks. The operation of the STATCOM operating in the voltage stabilization mode of the 10 kV distribution electric network node is analyzed. The value of the compensator EMF is obtained, which provides a stable value of the load node voltage when the consumer load conduc- tivity changes. The specified EMF is determined by the values of the increments of the active and reactive components of the load current, the voltage of the compensator connection node at a zero value of the STATCOM reactive current and the parameters of the electric network. The process of voltage stabilization in the load connection node under the condition of changes in the power source voltage and the corresponding compensator control law are analyzed, which involves the use of such informative parameters as the current and base values of the power source voltage, network parameters, and the voltage of the STATCOM connection node. Expressions for determining the EMF of the STAT- COM, which provides a stable voltage at the compensator connection point and the load, as well as a zero value of the active power in the compensator circuit under unstable load conditions, as well as changes in the power supply voltage, are obtained. It is shown that for the efficient operation of the compensator, it is necessary to perform measurements of the load currents and the load bus voltage. The STATCOM operation is simulated under the condition of changing the active and reactive load of the consumer in the range of ±25% and fluctuations in the power supply voltage within 2%, which is most often observed in electrical networks. It is shown that for an average load power of 4+j2 MVA and a stabilized voltage of 10.25 kV, the compensator power ranges from −0.57 MVAr to 2.4 MVAr. If the voltage stabiliza- tion level needs to be increased to 10.3 kV, the compensator power rises to 2.8 MVAr. References 16, Fig. 7, Table 1. Keywords: static synchronous compensator (STATCOM), direct control, reactive power, voltage stabilization. Introduction. Voltage quality in the power grid affects the reliability and cost-effectiveness of power consumers, including electric drives, lighting, electronic equipment, industrial plants, and others. Rapidly vary- ing loads present in electrical networks cause voltage fluctuations, leading to operational instability and reduced efficiency and productivity of technological equipment [1]. Therefore, it is of great relevance to develop meas- ures aimed at improving voltage quality in consumer power networks and, consequently, the economic effi- ciency of industrial enterprises. To stabilize voltage at distribution network nodes and ensure reactive power balance, numerous solu- tions are employed, among which Distribution Static Synchronous Compensators (STATCOM) have gained widespread adoption [2–3]. The primary advantage of a STATCOM is its rapid reactive power compensa- tion, which allows for the mitigation of voltage fluctuations. For the effective operation of STATCOMs, it is essential to ensure sufficient capacity and a control algorithm tailored to the specific operating conditions. Two strategies are possible for voltage stabilization using a STATCOM: 1) measuring the voltage and, based on its deviation from the setpoint, increasing reactive power generation; 2) measuring both load and voltage and, based on their deviations from the reference values, increasing reactive power output. In terms of automatic control theory, the described strategies are classified as feedback control and combined control, the latter of which incorporates both feedback (voltage-based) and feedforward (load-based) control. Voltage stabilization is primarily achieved through feedback control, for which advanced algorithms have been developed, e.g., [4–9]. Notable among these algorithms are input-output linearization control [4], adaptive control algorithms [5], robust control algorithms [6–7], sliding mode control algorithms [8–9], and others. In [10–15], a combined STATCOM control strategy is employed, which involves measuring the voltage © Burbelo M.Y., Babenko О.V., 2026 ORCID: * https://orcid.org/0000-0002-4510-2911; ** https://orcid.org/0000-0003-2773-6571 © Publisher PH “Akademperiodyka” of the National Academy of Sciences of Ukraine, 2026 This is an Open Access article under the CC BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode.en 68 ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 at the connection bus and the load current. At the same time, these studies focus on the development of various types of feedback controllers, while the disturbance-based feed-forward control algorithm for STATCOM re- mains insufficiently substantiated. Combined control enables the implementation of more intelligent and 'soft' control algorithms. For instance, a decision may be made to forgo full voltage restoration to its nominal level (which may be unfea- sible) and instead transition to a support mode by providing a lower reactive power output [16]. However, this raises the challenge of ensuring high-speed generation of control actions. This can be achieved by em- ploying direct control of the STATCOM. The objective of this work is to develop a method and mathematical models for direct control of STATCOM for voltage stabilization under conditions of varying load power and supply voltage that lead to voltage fluctuations. 1. Performance analysis of STATCOM in voltage regulation mode. The operation of a STAT- COM in the voltage regulation mode of a power system bus, the equivalent circuit of which is shown in Fig. 1, is analyzed. Complex admittances of the equivalent circuit branches: 00 0 1 jXR Y   ; 11 1 1 jXR Y   ; 22 2 11 jXR Y  . (1) One of the most critical aspects of voltage stabiliza- tion at a power grid bus is the selection of the voltage set- point corresponding to zero STATCOM reactive current. In [16], it is proposed to select the STATCOM EMF based on the condition: )0( 20 0 )0( 0)0( 1 )0( 1 YY YE UE      , (2) where )0( 0E is the base EMF of the power source, e.g., 10.5 kV; )0( 2Y is the base value of the complex load admittance, e.g., the average value. The problem of voltage stabilization at a power system node using STATCOM reduces to satisfying two conditions: )0( 1 )1( 1 UU   or )0( 20 0 )0( 0 )1( 210 110 )1( 0 YY YE YYY YEYE       ; (3) 01 P or 0Re * 1)1( 210 110 )1( 0 1)1( 210 110 )1( 0                                        Y YYY YEYE E YYY YEYE    . (4) Voltage instability is caused by changes in load admittance or source voltage. By solving the system of equations (3) and (4), the STATCOM EMF value can be determined, which ensures a constant voltage level at the power grid bus for specific values of )1( 0E and )1( 2Y . However, our focus is on developing a high-speed STATCOM control system with control set- points that are adjusted within the shortest possible time and remain stable across a specific range of supply voltage and load variations. 2. Determination of STATCOM EMF for voltage stabilization under supply voltage variations and variable consumer load. First, let us consider the feasibility of fast STATCOM tuning for load change compensation. The increments of the active and reactive components of the voltage drop in the transmission line under load instability, considering the presence of STATCOM, are [10]: Fig. 1. Equivalent circuit of a power grid load bus with STATCOM ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 69     ,10a1020a20 10a1020a200a0 rr rrr IRIXIRIXj IXIRIXIRUjU   (5) where rII 2a2 ,  are the increments of the active and reactive components of the load current; rII 1a1 ,  are the increments of STATCOM active and reactive current components. The longitudinal component of the voltage drop across the transmission line determines the instabil- ity of the RMS voltage at the network bus: rr IXIRIXIRUU 10a1020a20a00  . (6) The STATCOM must generate a current that provides compensation for load current instability, while its active power must remain zero. From the equality 0a00  UU , it follows that the following condition is necessary for voltage stabilization at the network node:   rr III X R I 2a2a1 0 0 1  . (7) Given that rI X R I 1 1 1 a1  and setting 0 0 1 11 X R X R k  , we obtain:        rr II X R k I 2a2 0 0 1 1 . (8) Substituting this expression into the expression for the transverse component of the voltage drop on the transmission line, we obtain: rr I X R X R k X RI X R X R k R XU 2 0 0 1 10 0a2 0 0 1 10 00                                . (9) STATCOM complex current: 11 11 1 jXR UE I     . (10) Hence, the expression for the STATCOM EMF is derived in terms of the increments of the network bus voltage and STATCOM current:   1111 )0( 11 IjXRUUE   , (11) where 1U is the complex value of the voltage increment at a network bus, determined by the voltage drop increment 0U . Therefore, to stabilize the voltage at the network bus ( 0a0a1  UU ) the active component of the STATCOM EMF must be determined as follows:                      rII X R X R k X UE 2a2 0 0 2 1 11)0( a1a1 1 , (12) while to ensure zero active power for the STATCOM, which is conditioned by the equality rr UU 01  , the reactive component of the STATCOM EMF must be formulated as follows:        rrrr II X R k R UUE 2a2 0 01 0 )0( 11 2 . (13) Let us consider the possibility of compensating for supply voltage variations. In [16], it is proposed to implement STATCOM control for supply voltage variation compensation using the following formula: 70 ISSN 1607-7970. Техн. електродинаміка. 2026. № 4          jq X X EEUE 0 1 0 )0( 0 )0( 11  , (14) where the informative parameters are the current value of the power supply voltage 0E . Its value can be de- termined using expression   00010 IjXRUE   . The value of q can be determined by solving the system of equations (3) and (4) for two values )0( 0E and )1( 0E with respect to )1( 1E and using expression:     )1( 0 )0( 0 )1( 1 )0( 1 ImIm EE EE q      . (15) From Equation (3), it follows that: 1 1(0) (0) 0 0 1 1 0 0 1 1 j jY Y E U e E e E Y Y        , (16) where 1 is the initial phase angle increment of voltage 1U relative to )0( 1U due to the increase in the com- pensator current. Applying Euler's formula and considering that 1cos 1  , we obtain:  (0) (0) (0) (0)0 0 1 1 0 0 1 0 1 1 1 sin ψ Y Y E U E E j U E Y Y                  . (17) To determine 1sin ψ the approximate expression   (0) 1 0 1 0 1 1sin ψ Re( ) Im( ) /X I R I U       can be used, however, employing this expression or the relation   (0) 1 0 1 1 0 1 1sin ψ / /X R X R I U       is problem- atic due to the lack of a priori information regarding the STATCOM current, as well as the significant influ- ence of 1sin ψ on the imaginary component value. At the same time, the difference between the values of the real components calculated by formulas (14) and (17) is negligible. Thus, equations (12)–(14) describe the proposed method for mitigating voltage fluctuations at the STATCOM point of common coupling under conditions of load and supply voltage instability in distribution networks. Equations (12) and (13) can be simplified without significant loss of accuracy by neglecting the a2I component in expression (5), assuming that the STATCOM current leads the voltage 1U by a phase angle of φ=π/2:     ,10a2020 1020a200a0 rr rrr IRIXIRj IXIXIRUjU   (18) Then, expression (9) for the transverse component of the voltage drop on the transmission line takes the following form: a2 2 0 0 00 1 I X R XU r                . (19) To stabilize the voltage at a network bus in the event of load instability, the expression for the real component of the STATCOM EMF can be formulated as follows:        rII X R XUE 2a2 0 0 1 )0( a1a1 , (20) and to ensure zero active power of the STATCOM, the imaginary component of the STATCOM EMF is de- fined as follows: ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 71   . 1 21a210 0 0 01 2a2 0 0 1a2 2 0 0 011 rr rrr IRIRR X R XU II X R RI X R XUE                             (21) 3. Modeling of STATCOM operation under conditions of variable load and supply voltage in- stability. The STATCOM operation was simulated under the following conditions: a load with an average power of P2=4 МW and Q2=2 МVAr varies within the range of (0.75÷1.25)P2 and (0.75÷1.25)Q2, respec- tively. The load is supplied by a 110/10 kV, 10 MVA power transformer with a short-circuit voltage uk=10.5%. The STATCOM coupling transformer is rated at 2.5 МVA, uk=5.5%. Fig. 2 shows the network bus voltage and STATCOM EMF as functions of load variations at a supply voltage of 10.5 kV for two grid operating modes: the first, where the active load varies within the range of (0.75÷1.25)P2, while the reactive load remains constant; and the second, where both active and reac- tive loads vary within the ranges of (0.75÷1.25)P2 and (0.75÷1.25)Q2 respectively. The voltage variation range in both U1(P) and U1(P,Q) modes is identical, spanning 10.25÷10.253 kV, which corresponds to an instability coefficient kinst=(ΔU/Unom)ꞏ100%=0,03%. The STATCOM EMF varies within 52 V under ac- tive load changes only, and within 273 V under combined active and reactive load variations. The variation characteristic is linear. The STATCOM reactive power generation/absorption process is illustrated in Fig. 3. Under varying consumer active load, the reactive power regulation range is within -103 to 110 kVAr. Under varying active and reactive load conditions, the reactive power variation range is -573 to 580 kVAr. The range of active power generated/consumed by the STATCOM under varying consumer active load is between 13 kW (generation) and 12 kW (consumption), and under variable consumer active and reactive power, it ranges from 13 kW (generation) to 4.8 kW (consumption). A study was conducted on the impact of supply voltage instability on the voltage stabilization proc- ess at the load connection node. For comparison, the simulation was performed at a supply voltage of 10.3 kV, as previously, under two operating modes: with variable active node load, and with variable active and reactive consumer loads. The voltage variation range in both U1(P) and U1(P,Q) modes is similar to the previ- ous case: 10.249÷10.256 kV (Fig. 4). Mean- while, the STATCOM EMF continues to vary within approximately the same range: within 60 V under consumer active load variation, and within 291 V under combined active and reactive load variation. Under variations in the consumer’s ac- tive load and combined active/reactive load, the compensator’s reactive power range shifted to 1671÷1908 kVAr and 1188÷2391 kVAr, respec- tively (Fig. 5). Simulation results showed that the active power range generated/consumed by the STATCOM Fig. 2. Plots of load bus voltage and STATCOM EMF for a 10.5 kV source voltage Fig. 3. Active and reactive power genera- tion/consumption curves of the STATCOM at 10.5 kV supply voltage 72 ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 under variable consumer active load varies from 8 kW (generation) to 5 kW (consumption). Under variable active and reactive power conditions, this range is between 5.6 kW (generation) and 4.3 kW (consumption). Thus, by applying the STATCOM control laws (10)–(14), voltage stabilization at the considered power grid node can be achieved with the following compensator power variations: 200 kVAr per ±25% change in active load and 1200 kVAr per 2% change in supply voltage. The STATCOM EMF magnitude can be increased proportionally. In this case, the value of q remains the same as in the previous sce- nario. For example, if the reactive power genera- tion increases by 450 kVAr, the voltage variation range for both load conditions, U1(P) and U1(P,Q), will be identical at 10,3÷10,303 kV, which is slightly higher than in the previous case. The reactive power variation range of the compensator in both U1(P) and U1(P,Q) modes is within 350÷571 and - 128÷1049 kVAr, respectively (Fig. 6). The active power operating range of the STATCOM under varying consumer active load conditions spans from 12 kW (generation) to 10 kW (consumption), while under varying active and reactive consumer power, the range is be- tween 11 kW (generation) and 2.7 kW (consump- tion). Simulations were also performed at a supply voltage of 10.3 kV in two modes: under variable active bus load, and under variable active and reactive consumer loads. The voltage variation ranges in both modes, U1(P) and U1(P,Q), are close to the previous case: 10.299÷10.306 kV. The reactive power adjustment range of the compensator for U1(P) and U1(P,Q) is within 2132÷2378 kVAr and 1641÷2869 kVAr, respectively (Fig. 7). Simulation results showed that the range of active power flow through the STAT- COM under varying consumer active load is between 8.5 kW (generation) and 1.3 kW (con- sumption), while under varying active and re- active power, it ranges from 1.9 to 8.5 kW (generation). The comparison table presents the ob- tained results, which indicate that in the con- sidered power system node, an increase in re- active power Q1 by approximately 450 kVAr leads to a 0.05 kV increase in voltage U1. Conclusions. The operation of a STATCOM in the voltage stabilization mode at a power grid bus has been analyzed. A control method is pro- Fig. 4. Plots of load bus voltage and STATCOM EMF for a 10.3 kV source voltage Fig. 6. Active and reactive power generation/consumption curves of the STATCOM during an EMF increase at a supply voltage of 10.5 kV Fig. 5. Active and reactive power genera- tion/consumption plots of the STATCOM at 10.3 kV supply voltage ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 73 posed that involves determining the compensa- tor's EMF based on the increments of the active and reactive load current components, as well as the base voltage at the load bus, derived from the supply source base voltage. The simulation of the synchronous condenser operation was conducted using the proposed mathematical models under conditions of active load power of 4 МW ±25%, reactive load power of 2 MVAr ±25%, a STATCOM transformer rating of 2,5 МVA, and supply voltage variations from 10.5 kV to 10.3 kV. To ensure voltage stabilization at 10.25 kV, the compensator's re- active power varies within the range of -0.57 to 2.4 MVAr. То increase the stabilized voltage level at the load bus, the base voltage at the STAT- COM point of common coupling was increased. This voltage is calculated using parameter q, which, in turn, is determined by the EMF values of the compensator and the power supply. In this case, to maintain a stable load voltage of 10.3 kV, the STATCOM output increased by 450 kVAr, ranging from -0.13 to 2.87 MVAr. 1. Pivniak H.H., Zhezhelenko I.V., Papaika Yu.A. Energy efficiency of the electricity supply system. Dnipro: Natsionalnyi tekhnichnyi univesytet Dniprovska politekhnika, 2018. 148 p. (Ukr) 2. Ghosh A., Ledwich G. Power Quality Enhancement Using Custom Power Devices. Boston: Kluwer Aca- demic Publishers, 2002. 460 p. DOI: https://doi.org/10.1007/978-1-4615-1153-3 3. Singh B., Chandra A., Al-Haddad K. Power Quality: Problems and Mitigation Techniques. Chichester: John Wiley & Sons, 2015. 600 p. DOI: https://doi.org/10.1002/9781118922064. 4. Wang K., Crow M.L. Power System Voltage Regulation via STATCOM Internal Nonlinear Control. IEEE Transactions on Power Systems. August 2011. Vol. 26. No 3. Pp. 1252–1262. DOI: https://doi.org/10.1109/TPWRS.2010.2072937. 5. Xu Y., Li F. Adaptive PI Control of STATCOM for Voltage Regulation. IEEE Transactions On Power Delivery. June 2014. Vol. 29. No 3. Pp. 1002–1011. DOI: https://doi.org/10.1109/TPWRD.2013.2291576. 6. Gui Y., Kim C., Han Y., Chung C.C. Robust Nonlinear Control of STATCOMs. In book: Static Compensa- tors (STATCOMs) in Power Systems. Springer, 2015. Pp. 187–224. DOI: https://doi.org/10.1007/978-981- 287-281-4_6. 7. Guo A., Tian Y., Zhao H. Highly Robust Active Damping Approach for Grid-Connected Current Feedback Using Phase-Lead Compensation. Electronics. 2025. Vol. 14. Issue 2. Article no: 309. DOI: https://doi.org/10.3390/electronics14020309. 8. Yazdani A. Energy and voltage management methods for multilevel converters for bulk power system power quality improvement: PhD dissertation. Rolla: Missouri University of Science and Technology, 2009. 90 p. 9. Kerrouche K. D. E., Lodhi E., Kerrouche M. B., Wang L., Zhu F., Xiong G. Modeling and design of the improved D-STATCOM control for power distribution grid. SN Applied Sciences. 2020. Vol. 2. No 9. Article no: 1546. DOI:  https://doi.org/10.1007/s42452-020-03315-8. 10. Dash S.K., Mishra S., Abdelaziz A.Y. A Critical Analysis of Modeling Aspects of D-STATCOMs for Op- timal Reactive Power Compensation in Power Distribution Networks. Energies. 2022. Vol. 15. No 19. Article no: 6908. Pp. 1–23. DOI: https://doi.org/10.3390/en15196908. 11. Chen J.-H., Tan K.-H., Lee Y.-D. Intelligent Controlled DSTATCOM for Power Quality Enhancement. Energies. 2022. Vol. 15. Issue 11. Article no: 4017. DOI: https://doi.org/10.3390/en15114017. 12. Wang S., Cui K., Hao P. Grid-Connected Inverter Grid Voltage Feedforward Control Strategy Based on Multi-Objective Constraint in Weak Grid. Energies. 2024. Vol. 17. Issue 13. Article no: 3288. DOI: https://doi.org/10.3390/en17133288. 13. Alturki Y.A., Alhussainy A.A., Alghamdi S.M., Rawa M. A Novel Point of Common Coupling Direct Power Control Method for Grid Integration of Renewable Energy Sources: Performance Evaluation among 0E , kV Q1(P), kVAr Q1(P,Q), kVAr U1, kV 10.5 -103÷110 -573÷580 10.250÷10.253 10.3 1671÷1908 1188÷2391 10.249÷10.256 10.5 350÷571 -128÷1049 10.300÷10.303 10.3 2132÷2378 1641÷2869 10.299÷10.306 Fig. 7. STATCOM active and reactive power genera- tion/consumption curves in case of an EMF increase at a 10.3 kV supply voltage 74 ISSN 1607-7970. Техн. електродинаміка. 2026. № 4 Power Quality Phenomena. Energies. 2024. Vol. 17. No 20. Article no: 5111. DOI: https://doi.org/10.3390/en17205111. 14. Zhang Z., Gong P., Lu Z. A Lyapunov Theory-Based SEIG–STATCOM Voltage Regulation Control Strategy. Energies. 2024. Vol. 17. Issue 19. Article no: 4992. DOI: https://doi.org/10.3390/en17194992. 15. Wang X., Feng F., Peng L., Xiao P., Li Z. Stability Analysis and Virtual Inductance Control for Static Synchronous Compensators with Voltage-Droop Support in Weak Grid. Electronics. 2025. Vol. 14. Issue 11. Article no: 2203. DOI: https://doi.org/10.3390/electronics14112203. 16. Burbelo M.Y., Babenko О.V., Lebed D.Yu. Analysis of STATCOM control process under rapid voltage changes. Visnyk Kremenchukskoho Mykhailo Ostrohradskoho Natsionalnoho Universytetu. 2025. Vyp. 1 (150). Pp. 284–291. (Ukr) DOI: https://doi.org/10.32782/1995-0519.2025.1.35. УДК 621.316 МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ЗАДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ М.Й. Бурбело, докт. техн. наук, О.В. Бабенко, канд. техн. наук Вінницький національний технічний університет, вул. Хмельницьке шосе, 95, Вінниця, 21021, Україна. Е-mail: burbelom@ukr.net; oleksij_babenko@ukr.net. Запропоновано метод прямого керування статичним синхронним компенсатором (STATCOM) задля зменшення коливань напруги внаслідок нестабільності навантаження та напруги живлення в розподільних електричних мережах. Проаналізовано роботу STATCOM, який працює в режимі стабілізації напруги вузла розподільної електричної мережі 10 кВ. Отримано значення ЕРС компенсатора, яка забезпечує стабільне значення напруги вузла навантаження за зміни провідності навантаження споживача. Вказана ЕРС визначається за значення- ми приростів активної та реактивної складових струму навантаження, напругою вузла приєднання компен- сатора за нульового значення реактивного струму STATCOM та параметрів електричної мережі. Проаналізовано процес стабілізації напруги в вузлі приєднання навантаження за умови змін напруги джерела живлення та відповідний закон керування компенсатором, що передбачає використання таких інформативних параметрів як поточне та базове значення напруги джерела живлення, параметри мережі, а також напруга вузла приєднання STATCOM. Отримано вирази задля визначення ЕРС STATCOM, яка забезпечує стабільну напругу вузла приєднання компенсатора і навантаження, а також нульове значення активної потужності в колі компенсатора за нестабільного навантаження, а також змін напруги джерела живлення. Показано, що задля ефективної роботи компенсатора необхідно здійснювати вимірювання струмів навантаження та напруги вузла навантаження. Виконано моделювання роботи STATCOM за умови зміни активного та реактивного навантаження споживача у діапазоні ±25% і коливання напруги джерела живлення в межах 2%, що найбільш часто спостерігається в електричних мережах. Показано, що за середньої потужності навантаження 4+j2 МВꞏА і стабілізованої напруги 10,25 кВ потужність компенсатора знаходиться в межах від -0,57 МВАр до 2,4 МВАр. За необхідності підвищення рівня стабілізації напруги до 10,3 кВ потужність компенсатора зростає до 2,8 МВАр. Бібл. 16, рис. 7, табл. 1. Ключові слова: статичний синхронний компенсатор (STATCOM), пряме керування, реактивна потужність, ста- білізація напруги. Received 12.12.2025 Accepted 09.03.2026
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spelling techned_org_ua-article-18142026-07-09T13:26:48Z DIRECT STATCOM CONTROL METHOD FOR REDUCING VOLTAGE FLUCTUATIONS AT A DISTRIBUTION NETWORK LOAD BUS МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ Бурбело, М.Й. Бабенко, О.В. static synchronous compensator (STATCOM) instability coefficient reactive power voltage stabilization статичний синхронний компенсатор (STATCOM) коефіцієнт нестабільності реактивна потужність стабілізація напруги The article proposes a method of direct control of the static synchronous compensator (STATCOM) to reduce voltage fluctuations due to load and supply voltage instability in distribution electric networks. The operation of the STATCOM operating in the voltage stabilization mode of the 10 kV distribution electric network node is analyzed. The value of the compensator EMF is obtained, which provides a stable value of the load node voltage when the consumer load conductivity changes. The specified EMF is determined by the values of the increments of the active and reactive components of the load current, the voltage of the compensator connection node at a zero value of the STATCOM reactive current and the parameters of the electric network. The process of voltage stabilization in the load connection node under the condition of changes in the power source voltage and the corresponding compensator control law are analyzed, which involves the use of such informative parameters as the current and base values of the power source voltage, network parameters, and the voltage of the STATCOM connection node. Expressions for determining the EMF of the STATCOM, which provides a stable voltage at the compensator connection point and the load, as well as a zero value of the active power in the compensator circuit under unstable load conditions, as well as changes in the power supply voltage, are obtained. It is shown that for the efficient operation of the compensator, it is necessary to perform measurements of the load currents and the load bus voltage. The STATCOM operation is simulated under the condition of changing the active and reactive load of the consumer in the range of ±25% and fluctuations in the power supply voltage within 2%, which is most often observed in electrical networks.  It is shown that for an average load power of 4+j2 MVA and a stabilized voltage of 10.25 kV, the compensator power ranges from −0.57 MVAr to 2.4 MVAr. If the voltage stabilization level needs to be increased to 10.3 kV, the compensator power rises to 2.8 MVAr. References 16, Fig. 7, Table 1. Запропоновано метод прямого керування статичним синхронним компенсатором (STATCOM) задля зменшення коливань напруги внаслідок нестабільності навантаження та напруги живлення в розподільних електричних мережах. Проаналізовано роботу STATCOM, який працює в режимі стабілізації напруги вузла розподільної електричної мережі 10 кВ. Отримано значення ЕРС компенсатора, яка забезпечує стабільне значення напруги вузла навантаження за зміни провідності навантаження споживача. Вказана ЕРС визначається за значеннями приростів активної та реактивної складових струму навантаження, напругою вузла приєднання компенсатора за нульового значення реактивного струму STATCOM та параметрів електричної мережі. Проаналізовано процес стабілізації напруги в вузлі приєднання навантаження за умови змін напруги джерела живлення та відповідний закон керування компенсатором, що передбачає використання таких інформативних параметрів як поточне та базове значення напруги джерела живлення, параметри мережі, а також напруга вузла приєднання STATCOM. Отримано вирази задля визначення ЕРС STATCOM, яка забезпечує стабільну напругу вузла приєднання компенсатора і навантаження, а також нульове значення активної потужності в колі компенсатора за нестабільного навантаження, а також змін напруги джерела живлення. Показано, що задля ефективної роботи компенсатора необхідно здійснювати вимірювання струмів навантаження та напруги вузла навантаження. Виконано моделювання роботи STATCOM за умови зміни активного та реактивного навантаження споживача у діапазоні ±25% і коливання напруги джерела живлення в межах 2%, що найбільш часто спостерігається в електричних мережах. Показано, що за середньої потужності навантаження 4+j2 МВ·А і стабілізованої напруги 10,25 кВ потужність компенсатора знаходиться в межах від -0,57 МВАр до 2,4 МВАр. За необхідності підвищення рівня стабілізації напруги до 10,3 кВ потужність компенсатора зростає до 2,8 МВАр. Бібл. 16, рис. 7, табл. 1. Інститут електродинаміки НАН України, Київ 2026-07-01 Article Article application/pdf application/pdf https://techned.org.ua/index.php/techned/article/view/1814 10.15407/techned2026.04.067 Tekhnichna Elektrodynamika; No. 4 (2026): TEKHNICHNA ELEKTRODYNAMIKA; 067 ТЕХНІЧНА ЕЛЕКТРОДИНАМІКА; № 4 (2026): ТЕХНІЧНА ЕЛЕКТРОДИНАМІКА; 067 2218-1903 1607-7970 10.15407/techned2026.04 en uk https://techned.org.ua/index.php/techned/article/view/1814/1621 https://techned.org.ua/index.php/techned/article/view/1814/1622 Авторське право (c) 2026 ТЕХНІЧНА ЕЛЕКТРОДИНАМІКА https://creativecommons.org/licenses/by-nc-nd/4.0
spellingShingle статичний синхронний компенсатор (STATCOM)
коефіцієнт нестабільності
реактивна потужність
стабілізація напруги
Бурбело, М.Й.
Бабенко, О.В.
МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ
title МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ
title_alt DIRECT STATCOM CONTROL METHOD FOR REDUCING VOLTAGE FLUCTUATIONS AT A DISTRIBUTION NETWORK LOAD BUS
title_full МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ
title_fullStr МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ
title_full_unstemmed МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ
title_short МЕТОД ПРЯМОГО КЕРУВАННЯ STATCOM ДЛЯ ЗМЕНШЕННЯ КОЛИВАНЬ НАПРУГИ У ВУЗЛІ НАВАНТАЖЕННЯ РОЗПОДІЛЬНОЇ МЕРЕЖІ
title_sort метод прямого керування statcom для зменшення коливань напруги у вузлі навантаження розподільної мережі
topic статичний синхронний компенсатор (STATCOM)
коефіцієнт нестабільності
реактивна потужність
стабілізація напруги
topic_facet static synchronous compensator (STATCOM)
instability coefficient
reactive power
voltage stabilization
статичний синхронний компенсатор (STATCOM)
коефіцієнт нестабільності
реактивна потужність
стабілізація напруги
url https://techned.org.ua/index.php/techned/article/view/1814
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