alternativeАльтернативная энергетика и экология (ISJAEE)Alternative Energy and Ecology (ISJAEE)1608-8298Международный издательский дом научной периодики "Спейс10.15518/isjaee.2021.01.008alternative-2021Research ArticleXV. ЭНЕРГОСБЕРЕЖЕНИЕ. 35. Энергосберегающие технологии, системы, материалы и приборыXV. ENERGY SAVING. 35. Energy-Saving Technologies, Systems, Materials, and InstrumentsАнализ влияния вольт-амперной характеристикой выпрямителей на статические характеристики нагрузки водородного электролизераAnalysis of the influence of the volt-ampere characteristics of the voltage rectifiers on the static characteristics of hydrogen electro-lyser loadУфаР. А.UfaR. A.

Уфа Руслан Александрович, кандидат технических наук, доцент отделения электроэнергетики и электротехники Инженерной школы энергетики 

г. Томск, пр. Ленина, 30, 634050

Ruslan A. Ufa, Ph.D., Currently he is an Associate professor of School of Energy & Power Engineering

Lenina avenue, 30, 634050, Tomsk

hecn@tpu.ruВасильевА. С.VasilevA. S.

Васильев Алексей Сергеевич, кандидат технических наук, доцент отделения электроэнергетики и электротехники Инженерной школы энергетики

г. Томск, пр. Ленина, 30, 634050

Aleksey S. Vasilev, Ph.D., Currently he is an Associate professor of School of Energy & Power Engineering

Lenina avenue, 30, 634050, Tomsk

ПанкратовА. В.PankratovA. V.

Панкратов Алексей Владимирович,  кандидат технических наук, директор

г. Томск, просп. Кирова, 36, Томск, Томская обл., 634041

Aleksey V. Pankratov, Ph.D., Director

Kirov avenue, 36, 634041, Tomsk

hecn@tpu.ruМальковаЯ. Ю.MalkovaYa. Yu.

Малькова Яна Юрьевна, студент отделения электроэнергетики и электротехники Инженерной школы энергетики

г. Томск, пр. Ленина, 30, 634050

Yana Yu. Malkova, Student of School of Energy & Power Engineering

Lenina avenue, 30, 634050, Tomsk

Томский политехнический университетРоссияTomsk Polytechnic UniversityRussian FederationТомский политехнический университет г. Томск, пр. Ленина, 30, Россия, 634050РоссияTomsk Polytechnic UniversityRussian FederationПредставительство АО «СО ЕЭС» в Томской областиРоссияRepresentative office of JSC "SO UES" in the Tomsk regionRussian Federation20212204202101-3113125Copyright © Международный издательский дом научной периодики "Спейс, 20212021Международный издательский дом научной периодики "СпейсМеждународный издательский дом научной периодики "Спейсhttps://www.isjaee.com/jour/about/submissions#copyrightNoticehttps://www.isjaee.com/jour/article/view/2021

Традиционно определение статических нагрузочных характеристик является одним из основных этапов подготовки расчетной модели электроэнергетической системы. Особенно важно правильно учитывать энергоемкие производства, которые вносят огромный вклад в формирование этих характеристик. В частности, наблюдаемый в мире повышенный интерес к водородным технологиям, как одного из наиболее перспективных высокотехнологичных направлений развития энергетики, и увеличение доли установленной мощности объектов генерации на базе возобновляемых источников энергии определяет перспективу развития производства водорода методом электролиза воды. Соответственно, значительное увеличение масштабов применения водородных технологий, в частности в соответствии с «Водородной стратегии для климатически нейтральной Европы» Европейская комиссия производства «зеленого» водорода, определяет задачу формирования корректных математических моделей данных устройств с точки зрения планирования режимов, анализа их влияния на параметры электроэнергетических систем. Определение статических нагрузочных характеристик на основании физического эксперимента не позволит получить характеристику при значительных повышении или снижении напряжения в узле электроэнергетической системы, которые возникают только в аварийных режимах работы энергосистемы. Поэтому представляется актуальным проведение анализа и определения электрических характеристик потребителей путем математического моделирования силовой схемы. В данной статье представлены результаты корректировки статической нагрузочной характеристики электролизера большой мощности, применимого в производстве водорода. Анализ этих результатов, полученных с помощью программного обеспечения MATLAB, проводится с использованием регрессии методом наименьших квадратов для получения полиномиальных функций статических характеристик нагрузки. Согласно этому анализу, статические характеристики рассмотренного электролизера, будучи близкими к линейным внутри регулировочного диапазона, за пределами регулировочного диапазона приобретают параболические зависимости активной и реактивной мощности от напряжения. Статические нагрузочные характеристики установки определяется параметрами схемы питания и вольт-амперной характеристикой выпрямителей, смещающих вершины парабол из начала координат, что следует учитывать для повышения достоверности расчетной схемы.

Traditionally, determination of static load characteristics is one of the main stages in the preparation of a design model of an electric power system. It is especially important to correctly take into account energy-intensive industries, which make a huge contribution to the formation of these characteristics. In particular, the increased interest in hydrogen technologies observed in the world, as one of the most promising high-tech areas of energy development, and an increase in the share of the installed capacity of generation facilities based on renewable energy sources determine the prospects for the development of hydrogen production by the electrolysis of water. Accordingly, a significant increase in the scale of application of hydrogen technologies, in particular in accordance with the EU Hydrogen Strategy for the production of "green" hydrogen, determines the problem of forming correct mathematical models of these devices in terms of planning modes, analyzing them influence on the parameters of electric power systems. Due to the complexity of the physical experiment, especially significant increase or decrease the voltage in a node of an electric power system, it seems relevant to simulate a part of the consumer in order to identify their electric power characteristics. In this paper the results of correction of the static load characteristic of electrolysis tank, which is widely used in the production of aluminum, are presented. Analysis of these results, obtained by MATLAB software, is carried out by using the least squares method to regress the data and to obtain a polynomial function of static load characteristics. According to this analysis, the static load characteristics of electrolysis tank have a parabolic dependences of active and reactive power, the position of which is determined by the parameters of the supply scheme and current-voltage characteristic of rectifiers. For instance, it shifts the vertex of the parabolas, which should be taken into account to improve the accuracy of the calculation scheme.

 

водородные технологиипроизводство водородаэлектролизерстатические нагрузочные характеристикимоделированиеметод наименьших квадратованализ.hydrogen technologieshydrogen productionelectrolysis tanksimulationleast squares methodanalysisРабота выполнена при поддержке Министерства науки и высшего образования РФ, грант №МК2150.2019.9ReferencesShiva Kumar S., Hydrogen production by PEM water electrolysis – A review / S. Shiva Kumar, V. Himabindu, // Materials Science for Energy Technologies. – 2019. – Vol. 2. – No. 3. – Pp. 442-454.Shiva Kumar S., Hydrogen production by PEM water electrolysis – A review / S. Shiva Kumar, V. Himabindu, // Materials Science for Energy Technologies. – 2019. – Vol. 2. – No. 3. – Pp. 442-454.Schmidt O., Future cost and performance of water electrolysis: An expert elicitation study / O. Schmidt, A. Gambhir, I. Staffell, A. Hawkes, J. Nelson, S. Few // International Journal of Hydrogen Energy. – 2017. – Vol. 42. – No. 52. – Pp. 30470-30492.Schmidt O., Future cost and performance of water electrolysis: An expert elicitation study / O. Schmidt, A. Gambhir, I. Staffell, A. Hawkes, J. Nelson, S. Few // International Journal of Hydrogen Energy. – 2017. – Vol. 42. – No. 52. – Pp. 30470-30492.Milanovic, J.V. International Industry Practice on Power System Load Modeling / J.V. Milanovic, K.Yamashita, S.M. Villanueva, S.Z. Djokic, and L.M. Korunovic // IEEE Transactions on Power Systems. – 2012. – Vol. 28. – No. 3. – Pp. 3038-3046.Milanovic, J.V. International Industry Practice on Power System Load Modeling / J.V. Milanovic, K.Yamashita, S.M. Villanueva, S.Z. Djokic, and L.M. Korunovic // IEEE Transactions on Power Systems. – 2012. – Vol. 28. – No. 3. – Pp. 3038-3046.Han, D. A Real Application of MeasurementBased Load Modeling in Large-Scale Power Grids and its Validation / D. Han, J. Ma, R. He, and Z. Dong // IEEE Transactions on Power Systems. – 2009. – Vol. 24. – No. 4. – Pp. 1756-1764.Han, D. A Real Application of MeasurementBased Load Modeling in Large-Scale Power Grids and its Validation / D. Han, J. Ma, R. He, and Z. Dong // IEEE Transactions on Power Systems. – 2009. – Vol. 24. – No. 4. – Pp. 1756-1764.Orji, U. Load Modeling For Power System Requirement and Capability Assessment / B. Sievenpiper, K. Gerhard, S.B. Leeb, N. Doerry, J.L. Kirtley, and T. McCoy // IEEE Transactions on Power Systems. – 2014. – Vol. 30. – No. 3. – Pp. 1415-1423.Orji, U. Load Modeling For Power System Requirement and Capability Assessment / B. Sievenpiper, K. Gerhard, S.B. Leeb, N. Doerry, J.L. Kirtley, and T. McCoy // IEEE Transactions on Power Systems. – 2014. – Vol. 30. – No. 3. – Pp. 1415-1423.Li, Y. Representative static load models for transient stability analysis: development and examination / Y. Li, H.D. Chiang, B.K. Choi, Y.T. Chen, D.H. Huang, and M.G. Lauby // IET Generation, Transmission & Distribution. – 2007. – Vol. 1. – No. 3. – Pp. 422-431.Li, Y. Representative static load models for transient stability analysis: development and examination / Y. Li, H.D. Chiang, B.K. Choi, Y.T. Chen, D.H. Huang, and M.G. Lauby // IET Generation, Transmission & Distribution. – 2007. – Vol. 1. – No. 3. – Pp. 422-431.Suvorov, A. The novel approach for electric power system simulation tools validation / A. Suvorov, A. Gusev, M. Andreev, and A. Askarov // Electrical Engineering. – 2019. – Vol. 101. – Pp. 457-466.Suvorov, A. The novel approach for electric power system simulation tools validation / A. Suvorov, A. Gusev, M. Andreev, and A. Askarov // Electrical Engineering. – 2019. – Vol. 101. – Pp. 457-466.Korunovic, L.M. Identification of static load characteristics based on measurements in medium-voltage distribution network / L.M. Korunovic, D.P. Stojanovic, and J.V. Milanovic // IET Generation, Transmission & Distribution. – 2008. – Vol. 2. – No. 2. – Pp. 227-234.Korunovic, L.M. Identification of static load characteristics based on measurements in medium-voltage distribution network / L.M. Korunovic, D.P. Stojanovic, and J.V. Milanovic // IET Generation, Transmission & Distribution. – 2008. – Vol. 2. – No. 2. – Pp. 227-234.Kan, Y. Static characteristic of load effects on voltage stability of electric system // In international Conference on System Science and Engineering (ICSSE), Dalian, Liaoning, 2012. – Pp. 596-599.Kan, Y. Static characteristic of load effects on voltage stability of electric system // In international Conference on System Science and Engineering (ICSSE), Dalian, Liaoning, 2012. – Pp. 596-599.Drimitriev, S.A. Complex load bus static load characteristics determination using passive experiment method / S.A. Drimitriev, S.I. Semenenko, and A.A. Suvorov // In 17th International Ural Conference on AC Electric Drives (ACED), Ekaterinburg. – 2018. – Pp. 1-6.Drimitriev, S.A. Complex load bus static load characteristics determination using passive experiment method / S.A. Drimitriev, S.I. Semenenko, and A.A. Suvorov // In 17th International Ural Conference on AC Electric Drives (ACED), Ekaterinburg. – 2018. – Pp. 1-6.Pankratov, A. Using static polynomial load models in “Rastrwin” software package for power system studies / A. Pankratov, M. Kondrashov, and S. Paul // MATEC Web of Conf. – 2015.– Vol. 37. – Pp. 1-4.Pankratov, A. Using static polynomial load models in “Rastrwin” software package for power system studies / A. Pankratov, M. Kondrashov, and S. Paul // MATEC Web of Conf. – 2015.– Vol. 37. – Pp. 1-4.Pazderin, A. Static Load Characteristic of Complex Load Node with Allowance for Automation / A. Pazderin, A. Tavlintsev // MATEC Web of Conf. – 2015.– Vol. 37. – Pp. 1-4.Pazderin, A. Static Load Characteristic of Complex Load Node with Allowance for Automation / A. Pazderin, A. Tavlintsev // MATEC Web of Conf. – 2015.– Vol. 37. – Pp. 1-4.Suvorov, A. A validation approach for short‐ circuit currents calculation in large‐scale power systems / A. Suvorov, A. Gusev, M. Andreev, and A. Askarov // International Transactions on Electrical Energy Systems. – 2020. – Vol. 30. – No. 430. – Pp. 1-20.Suvorov, A. A validation approach for short‐ circuit currents calculation in large‐scale power systems / A. Suvorov, A. Gusev, M. Andreev, and A. Askarov // International Transactions on Electrical Energy Systems. – 2020. – Vol. 30. – No. 430. – Pp. 1-20.Xu L. A comparative analysis of the interaction between different FACTS and HVDC / L. Xu, P. Dong, and M. Liu // In IEEE Power and Energy Society General Meeting, San Diego, CA. – 2012. – Pp. 1-5.Xu L. A comparative analysis of the interaction between different FACTS and HVDC / L. Xu, P. Dong, and M. Liu // In IEEE Power and Energy Society General Meeting, San Diego, CA. – 2012. – Pp. 1-5.Araujo, F.B. Distributed generation: Voltage stability analysis / F.B. Araujo, and R.B. Prada // In IEEE Grenoble Conference, Grenoble. – 2013. – Pp. 1-4.Araujo, F.B. Distributed generation: Voltage stability analysis / F.B. Araujo, and R.B. Prada // In IEEE Grenoble Conference, Grenoble. – 2013. – Pp. 1-4.Rahim, S. A convex optimization based decentralized real-time energy management model with the optimal integration of microgrid in smart grid / S. Rahim, N. Javaid, R. Khan, N. Nawaz, and M. Iqbal // Journal of Cleaner Production. – 2019. – Vol. 236. – Pp. 1-23.Rahim, S. A convex optimization based decentralized real-time energy management model with the optimal integration of microgrid in smart grid / S. Rahim, N. Javaid, R. Khan, N. Nawaz, and M. Iqbal // Journal of Cleaner Production. – 2019. – Vol. 236. – Pp. 1-23.Lee, Yo. Technical Measures to Mitigate Load Fluctuation for Large-Scale Customers to Improve Power System Energy Efficiency / Yo. Lee, H. Lee, J. Gim, I. Seo, and G. Lee // Energies. – 2020. – Vol. 13. – Pp. 127.Lee, Yo. Technical Measures to Mitigate Load Fluctuation for Large-Scale Customers to Improve Power System Energy Efficiency / Yo. Lee, H. Lee, J. Gim, I. Seo, and G. Lee // Energies. – 2020. – Vol. 13. – Pp. 127.Veprikov, A. Increase of energy efficiency of systems of power supply of industrial consumers of DC on the basis of active converters / A. Veprikov, and V. Polishchuk // International Research Journal. – 2017. – Vol. 7. – Iss. 61. – Pp. 17-21.Veprikov, A. Increase of energy efficiency of systems of power supply of industrial consumers of DC on the basis of active converters / A. Veprikov, and V. Polishchuk // International Research Journal. – 2017. – Vol. 7. – Iss. 61. – Pp. 17-21.Pollock, P. Power quality and corrective action in an aluminum smelter / P. Pollock, and C. Duffey // IEEE Industry Applications Society Petroleum and Chemi-cal Industry Conf, Indianapolis, USA. – 1998. – Pp. 181189.Pollock, P. Power quality and corrective action in an aluminum smelter / P. Pollock, and C. Duffey // IEEE Industry Applications Society Petroleum and Chemical Industry Conf, Indianapolis, USA. – 1998. – Pp. 181189.Weistner, M. Power quality assurance in the production of aluminum / M. Weistner, an M. Habibulin // Mir Metalla. – 2014. – Vol. 10. – Pp. 10-14.Weistner, M. Power quality assurance in the production of aluminum / M. Weistner, an M. Habibulin // Mir Metalla. – 2014. – Vol. 10. – Pp. 10-14.Huglen, R. In Introduction to aluminium electrolysis / R. Huglen, B. Lillebuen, and T. Mellerud // Aluminium Verlag. Dusseldorf. – 1993. – P. 139-162.Huglen, R. In Introduction to aluminium electrolysis / R. Huglen, B. Lillebuen, and T. Mellerud // Aluminium Verlag. Dusseldorf. – 1993. – P. 139-162.Nikulin A.D. Thyristor converter technology in non-ferrous metallurgy. Moscow: Metallurgy. – 1983. – 128 p.Nikulin A.D. Thyristor converter technology in non-ferrous metallurgy. Moscow: Metallurgy. – 1983. – 128 p.Kavitha, S. A comparative analysis on linear regres-sion and support vector regression / S. Kavitha, S. Varuna, and R. Ramya // In Proc. of Online International Conference on Green Engineering and Technologies (ICGET), Coimbatore, India. – 2016. – Pp. 1-5.Kavitha, S. A comparative analysis on linear regres-sion and support vector regression / S. Kavitha, S. Varuna, and R. Ramya // In Proc. of Online International Conference on Green Engineering and Technologies (ICGET), Coimbatore, India. – 2016. – Pp. 1-5.

The authors declare that there are no conflicts of interest present.