A.F. Verlan, L.O. Mitko, O.A. Dyachuk

Èlektron. model. 2021, 43(5):03-20
https://doi.org/10.15407/emodel.43.05.003

ABSTRACT

The problem of mathematical description of nonlinear dynamical systems remains relevant today, especially given the need to build modern surveillance systems for complex technical objects, such as power plants. The use of polynomial operators obtained with the help of shortened Volterra series to solve this problem, as practice has shown, proved to be promising, because this method allows to display in the mathematical model both nonlinear and dynamic properties of systems. For further development of the method, it is advisable to analyze diffe­rent approaches in order to build effective algorithms for obtaining and applying in the problems of monitoring the functioning of nonlinear systems.

KEYWORDS

nonlinear systems, integrated models, Volterra series, computational efficiency, polynomial expression, experimental data, control, diagnostics.

REFERENCES

1. Mesarovich, M., Takahara, Ja. (1978), Obshchaya teoriya sistem: Matematicheskiye osnovy [General Systems Theory: Mathematical Foundations], Mir, Moscow, USSR.
2. Orava, P.J. (1979), “On the concepts of input-output model, causality, and state in the theory of dynamical systems and control”, Acta Polytechnica Scandinavica Mathematics and Computing Series, Vol. 31, pр. 120-127.
3. Viner, N. (1961), Nelineynyye zadachi teorii sluchaynykh protsessov [Nonlinear problems of the theory of stochastic processes], Izdatel'stvo inostrannoy literatury, Moscow, USSR.
4. Pupkov, K.A. (1965), Statisticheskiy raschet nelineynykh sistem avtomaticheskogo [Statistical calculation of nonlinear automatic systems], Mashinostroyeniye, Moscow, USSR.
5. Eykkhoff, P. (1975), Osnovy identifikatsii sistem upravleniya [Fundamentals of identification of control systems], Mir, Moscow, USSR.
6. Billings, S.A. (1980), “Identification of nonlinear system – a servey”, IEEE Proceedings, 127, no. 6, рp. 272-285.
   https://doi.org/10.1049/ip-d.1980.0047
   
7. Pupkov, K.A., Kapalin, V.I. and Yushchenko, A.S. (1976), Funktsionalnyye ryady v teorii nelineynykh sistem [Functional series in the theory of nonlinear systems], Nauka, Moscow, USSR.
8. Popkov, Yu.S., Kiselev, O.N., Petrov, N.P. and Shmulyan, V.L. (1976), Identifikatsiya i optimizatsiya nelineynykh stokhasticheskikh sistem [Identification and optimization of nonlinear stochastic systems], Energiya, Moscow, USSR.
9. Tribel, Kh. (1980), Teoriya interpolyatsii, funktsional'nyye prostranstva, differentsial'nyye operatory [Interpolation theory, function spaces, differential operator], Mir, Moscow, USSR.
10. Prenter, P.M. (1971), “Lagrange and Hermite interpolation in Banach space”, Journal of Approximation Theory, Vol. 4, no. 4, рр. 419-432.
    https://doi.org/10.1016/0021-9045(71)90007-4
    
11. Porter, W.A. (1975), “Data Interpolation: causality, structure and system identification”, Information and Control, Vol. 29, no. 3, рр. 217-233.
    https://doi.org/10.1016/S0019-9958(75)90393-9
    
12. Pukhov, G.Ye., Khatiashvili, Ts.S. (1979), Kriterii i metody identifikatsii obyektov [Object identification criteria and methods], Naukova dumka, Kiev, USSR.
13. Raĭbman, N.S., Kapitonenko, V.V., Ovsepyan, F.A. and others (1981), Dispersionnaya identifikatsiya [Dispersion identification], Nauka, Moscow, USSR.
14. King, R.E. and Paraskevopoulos, P.N. (1979), “Parametric identification of discrete-time SISO systems”, International Journal of Control, Vol. 30, no. 6, pр. 1023-1029.
    https://doi.org/10.1080/00207177908922832
15. Netravali, A.N. and De Figmireolo, P.J. (1971), “On the Identification of Nonlinear Dynamical Systems”, IEEE Transactions on Automatic Control, Vol. 16, no. 1, pр. 28-36.
    https://doi.org/10.1109/TAC.1971.1099664
16. Kartuzov, V.V. (1977), “Chain approximation schemes for dynamic processes”, Doklady Akademii nauk SSSR, Vol. 2, рр. 175-179.

Full text: PDF

D.V. Efanov, D. Sc. (Tech.)

Federal State Autonomous Educational Institution of Higher Education
“Russian University of Transport”
(Russian Federation, 127994, Moscow, Obraztsova str., build. 9/9)
contact phone number (+7) (911) 709-2164, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.) 

Èlektron. model. 2021, 43(5):21-42
https://doi.org/10.15407/emodel.43.05.021

ABSTRACT

The article considers the construction of fault-tolerant digital devices and computing systems that does not use the principles of introducing modular redundancy. To correct the signals, a special distorted signal fixation unit, concurrent error-detection by the pre-selected redundant code circuit, as well as a signal correction block are used. The distorted signal fixation unit is implemented by the Boolean complement method, which makes it possible to design a large number of such blocks with different indicators of technical implementation complexity. When synthesizing a fault-tolerant device according to the proposed method, it is possible to organize a concurrent error-detection circuit for both the source device and the Boolean complement block in the structure of the distorted signal fixation unit. This makes it possible to choose among the variety of ways to implement fault-tolerant devices according to the proposed method, one that gives a device with the least structural redundancy. Various redundant codes can be used to organize concurrent error-detection circuits, including classical and modified sum codes. The author provides algorithms for the synthesis of distorted signal fixation unit and the Boolean complement block. The results of experimental researches with combinational benchmarks devices from the well-known LG’91 and MCNC Benchmarks sets are highlighted. The article presents the possibilities of the considered method for the organization of fault-tolerant digital devices and computing systems.

KEYWORDS

fault-tolerant digital device; calculations checking; Boolean complement; fault-tolerant structures; double modular redundancy.

REFERENCES

1. Shcherbakov, N.S. (1975), Samokorrektiruyushchiesya diskretnye ustrojstva [Self-correcting discrete devices], Mashinostroenie, Moscow, USSR.
2. Sogomonyan, E.S. and Slabakov, E.V. (1989), Samoproverjaemyje ustrojstva i otkazoustojchivyje sistemy [Self-checking devices and failover systems], Radio i Svjaz, Moscow, USSR.
3. Sapozhnikov, V.V. and Sapozhnikov, Vl.V. (1992), Samoproveryaemye diskretnye ustrojstva [Self-checking discrete devices], Energoatomizdat, St. Petersburg, Russia.
4. Mikoni, S.V. (1992), Obshchie diagnosticheskie bazy znanij vychislitelnyh sistem [General Diagnostic Knowledge Base of Computing Systems], SPIIRAN, St. Petersburg, Russia.
5. Abramovici, M., Breuer, M.A. and Friedman, A.D. (1998), Digital System Testing and Testable Design, IEEE Press, New Jersey, USA.
6. Drozd, A.V., Kharchenko, V.S. and Antoshchuk, S.G. (2012), Rabochee diagnostirovanie bezopasnykh informatsionno-upravljayustchikh sistem [Objects and Methods of On-Line Testing for Safe Instrumentation and Control Systems], Natsionalnyy aerokosmicheskiy universitet «KhAI», Kharkov, Ukraine.
7. Hahanov, V. (2018), Cyber Physical Computing for IoT-driven Services, Springer International Publishing AG, New York, USA.
   https://doi.org/10.1007/978-3-319-54825-8
8. Gavzov, D.V., Sapozhnikov, V.V. and Sapozhnikov, Vl.V. (1994) “Methods for Providing Safety in Discrete Systems”, Automation and Remote Control, Vol. 55, no. 8, pp. 1085- 1122.
9. Sklyar, V.V. and Kharchenko, V.S. (2002), “Fault-Tolerant Computer-Aided Control Systems with Multiversion-Threshold Adaptation: Adaptation Methods, Reliability Estimation, and Choice of an Architecture”, Automation and Remote Control, Vol. 63, no. 6, pp. 991-1003.
   https://doi.org/10.1023/A:1016130108770
10. Bochkov, K.A., Harlap, S.N. and Sivko, B.V. (2016), “Development of fault-tolerant systems based on diversified bases”, Avtomatika na transporte, Vol. 2, no. 1, pp. 47—64.
11. Fujiwara, E. (2006), Code Design for Dependable Systems: Theory and Practical Applications, John Wiley & Sons, New Your, USA.
    https://doi.org/10.1002/0471792748
12. Sapozhnikov, V.V., Sapozhnikov, Vl.V. and Efanov, D.V. (2018), Kody Khemminga v sistemakh funktsionalnogo kontrolja [Hamming Сodes in Concurrent Error Detection Systems of Logic Devices], Nauka, St. Petersburg, Russia.
13. Sapozhnikov, V.V., Sapozhnikov, Vl.V. and Efanov, D.V. (2020), Kody s summirovaniem dlya sistem tekhnicheskogo diagnostirovaniya. Tom 1: Klassicheskie kody Bergera i ih modifikacii [Sum Codes for Technical Diagnostics Systems. Volume 1: Classical Berger Codes and Their Modifications], Nauka, Moscow, Russia.
14. Sapozhnikov, V.V., Sapozhnikov, Vl.V. and Efanov, D.V. (2021), Kody s summirovaniem dlya sistem tekhnicheskogo diagnostirovaniya. Tom 2: Vzveshennyje kody s summirovanijem [Sum Codes for Technical Diagnostics Systems. Volume 2: Weight-Based Sum Codes], Nauka, Moscow, Russia.
15. Gavrilov, M.A., Ostianu, V.M. and Potekhin, A.I. (1970), “Reliability of discrete systems”, Itogi nauki i tekhniki. Ser. «Teoriya veroyatnostej. Matematicheskaya statistika. Teoreticheskaya kibernetika», pp. 7—104.
16. Hamamatsu, M., Tsuchiya, T. and Kikuno, T. (2008), “Finding the Optimal Configuration of a Cascading TMR System”, 14th IEEE Pacific Rim International Symposium on Dependable Computing 14th IEEE Pacific Rim International Symposium on Dependable Computing, December 15-17, 2008, Taipei, Taiwan, pp. 329-350.
    https://doi.org/10.1109/PRDC.2008.12
17. Matsumoto, K., Uehara, M. and Mori, H. (2010), “Evaluating the Fault Tolerance of Stateful TMR”, 13th International Conference on Network-Based Information Systems, September 14-16, 2010, Takayama, Japan, pp. 332-336.
    https://doi.org/10.1109/NBiS.2010.86
18. Kubátová, H. and Kohlík, M. (2012), “Reduction of Complex Safety Models Based on Markov Chains”, 2012 IEEE 15th International Symposium on Design and Diagnostics of Electronic Circuits & Systems (DDECS), April 18-20, 2012, Tallinn, Estonia. DOI: 1109/DDECS.2012.6219050.
19. Stempkovskij, A.L., Telpuhov, D.V., Zhukova, T.D., Gurov, S.I. and Solovyev, R.A. (2017), “Methods for the synthesis of fault-tolerant combinational CMOS circuits providing automatic error correction”, Izvestiya YUFU. Tekhnicheskie nauki, Vol. 7, no. 192, pp. 197-210. DOI 10.23683 / 2311-3103-2017-7-197-210.
20. Borecký, J., Kohlík, M., Vít, P. and Kubátová, H. (2016), “Enhanced Duplication Method with TMR-Like Masking Abilities”, 2016 Euromicro Conference on Digital System Design (DSD), August 31 – September 2, 2016, Limassol, Cyprus.
    https://doi.org/10.1109/DSD.2016.91
21. Sapozhnikov, V.V., Sapozhnikov, Vl.V. and Efanov, D.V. (2019), Osnovy teorii nadezhnosti i tekhnicheskoj diagnostiki [Fundamentals of the theory of reliability and technical diagnostics], Lan, St. Petersburg, Russia.
22. Potemkin, I.S. (1988), Funkcionalnye uzly cifrovoj avtomatiki [Functional units of digital automation], Energoatomizdat, Moscow, USSR.
23. Sapozhnikov, V., Sapozhnikov, Vl. and Efanov, D. (2020), “Typical Signal Correction Structures Based on Duplication with the Integrated Control Circuit”, Proceedings of 18th IEEE East-West Design & Test Symposium (EWDTS’2020), Varna, Bulgaria, September 4-7, 2020, pp. 78—87.
24. Sapozhnikov, V.V., Sapozhnikov, Vl.V. and Efanov, D.V. (2020), “Structures of signal correction circuits based on double modular redundancy with computation control”, Izvestiya vuzov. Priborostroenie, Vol. 63, no. 8, pp. 687—701.
    https://doi.org/10.17586/0021-3454-2020-63-8-687-701
25. Sapozhnikov, V.V., Sapozhnikov, Vl.V. and Efanov, D.V. (2020), “Signal Correction Circuit for Combinational Automation Devices on the Basis of Boolean Complement with Control of Calculations by Parity”, Informatika, Vol. 17, no. 2, pp. 71-85.
    https://doi.org/10.37661/1816-0301-2020-17-2-71-85
26. Goessel, M., Morozov, A.V., Sapozhnikov, V.V. and Sapozhnikov, Vl.V. (2003) “Logic Complement, a New Method of Checking the Combinational Circuits”, Automation and Remote Control, Vol. 1, no. 1, pp. 153-161.
    https://doi.org/10.1023/A:1021884727370
27. Göessel, M., Ocheretny, V., Sogomonyan, E. and Marienfeld, D. (2008), New Methods of Concurrent Checking: Edition 1., Springer Science+Business Media B.V., Dordrecht, Netherlands.
28. Das, D.K., Roy, S.S., Dmitiriev, A., Morozov, A.,\ and Gössel, M. (2012), “Constraint Don’t Cares for Optimizing Designs for Concurrent Checking by 1-out-of-3 Codes”, Proceedings of the 10th International Workshops on Boolean Problems, Freiberg, Germany, September, 2012, pp. 33—40.
29. Berger, J.M. (1961), “A Note on Error Detection Codes for Asymmetric Channels”, Information and Control, Vol. 4, no. 1, рp. 68—73.
    https://doi.org/10.1016/S0019-9958(61)80037-5
30. Sapozhnikov, V.V., Sapozhnikov, Vl.V., Efanov, D.V. and Dmitriev, V.V. (2017), “New Structures of the Concurrent Error Detection Systems for Logic Circuits”, Automation and Remote Control, Vol. 78, no. 2, pp. 300-312.
    https://doi.org/10.1134/S0005117917020096
    
31. Zakrevskij, A., Pottosin, Yu. and Cheremisinova, L. (2009), Optimization in Boolean Space, TUT Press, Tallinn, Estonia.
32. Efanov, D.V., Sapozhnikov, V.V. and Sapozhnikov, Vl.V. (2020), “Typical Structure of a Duplicate Error Correction Scheme with Code Control with Summation of Weighted Transitions”, Elektronne modelyuvannya, Vol. 42, no. 5, рp. 38—50. 
    https://doi.org/10.15407/emodel.42.05.038
    
33. Efanov, D.V., Sapozhnikov, V.V. and Sapozhnikov, Vl.V. (2017), “Conditions for Detecting a Logical Element Fault in a Combination Device under Concurrent Checking Based on Berger’s Code”, Automation and Remote Control, Vol. 78, no. 5, pp. 891-901.
    https://doi.org/10.1134/S0005117917050113
34. Efanov, D.V., Sapozhnikov, V.V. and Sapozhnikov, Vl.V. (2020), “Organization of a Fully Self-Checking Structure of a Combinational Device Based on Searching for Groups of Symmetrically Independent Outputs”, Automatic Control and Computer Sciences, Vol. 54, no. 4, рp. 279-290.
    https://doi.org/10.3103/S0146411620040045
35. Sentovich, E.M., Singh, K.J., Moon, C.,  Savoj, H.,  Brayton, R.K. and Sangiovanni-Vincentelli, A. (1992), “Sequential Circuit Design Using Synthesis and Optimization”, Proceedings IEEE International Conference on Computer Design: VLSI in Computers & Processors, October 11-14, 1992, Cambridge, MA, USA, USA pp. 328-333. DOI: 1109/ ICCD.1992.276282.
36. M. Sentovich, K. J. Singh, L. Lavagno et al. (1992), SIS: A System for Sequential Circuit Synthesis, Electronics Research Laboratory, Department of Electrical Engineering and Computer Science, University of California, pp. 45.
37. Drozd, A., Kharchenko, V., Antoshchuk, S., Sulima, J. and Drozd, M. (2011), “Checkabi­lity of the Digital Components in Safety-Critical Systems: Problems and Solutions”, Proceedings of 9th IEEE East-West Design & Test Symposium (EWDTS’2011), Sevastopol, Ukraine, pp. 411-416.
    https://doi.org/10.1109/EWDTS.2011.6116606
38. Drozd, A., Drozd, M., Martynyuk, O. and Kuznietsov, M. (2017), “Improving of a Circuit Checkability and Trustworthiness of Data Processing Results in LUT-based FPGA Components of Safety-Related Systems”, CEUR Workshop Proceedings, Vol. 1844, pp. 654-661, available at: http://ceur-ws.org/Vol-1844/10000654.pdf.
39. Drozd, O., Perebeinos, I., Martynyuk, O., Zashcholkin, K., Ivanova, O. and Drozd, M. (2020), “Hidden Fault Analysis of FPGA Projects for Critical Applications”, Proceedings of the IEEE International Conference on Advanced Trends in Radioelectronics, Telecommunications and Computer Engineering (TCSET), February 25-29, 2020, Lviv-Slavsko, Ukraine.
    https://doi.org/10.1109/TCSET49122.2020.235591
    

Full text: PDF

V.V. Dolinenko, E.V. Shapovalov, V.A. Kolyada and Т.G. Skuba

Èlektron. model. 2021, 43(5):43-54
https://doi.org/10.15407/emodel.43.05.043

ABSTRACT

A functional transformer with fuzzy logic is synthesized, which allows to get the estimations of weld beads height and width at the arbitrary values of entry parameters: wire feed speed and torch transverse oscillations amplitude. The influence of these input parameters on the base metal penetration and beads geometric parameters, welded using MIG/MAG process, were studied. Surfacing was performed by a robotic system with an arc power supply "Fronius TPS-320i", which operated in the mode of arc process synergetic control. The formation of both individual beads and surfacing layers at different overlap coefficients has been studied. The arc surfacing process was realized in a mixture of protective gases (Ar+18%CO₂) using a welding wire Св-08Г2С with a 1.0 mm diameter. Surfacing speed – 4 mm/s, frequency of welding torch oscillations – 1 Hz. The obtained experimental dependences of beads width and height, as well as the length of the welding pool can be used in both: creating of multi-pass MIG/MAG surfacing program for robotic restoration of critical purposes parts surfaces, and in preparing of FEM model of MIG/MAG surfacing.

KEYWORDS

robotic MIG/MAG surfacing, geometrical parameters of beads, mathema­ti­cal model of surfacing process, functional transformer with fuzzy logic.

REFERENCES

1. Ryabtsev I.A., Perepletchikov E.F., Bartenev I.A. (2018), “Influence of the amplitude and frequency of oscillations of the plasmatron on the chemical and structural inhomogeneity of the metal deposited by the plasma-powder method”,Automatic Welding, 5, pp. 3-8.
   https://doi.org/10.15407/tpwj2018.05.01
2. Babinets A.A., Ryabtsev I.O., Lentyugov I.P. (2020), “Injection of the amplitude and frequency of the electrode dart during arc deposition onto the molding and structure of the deposited metal and the penetration of the base metal”,Automatic Welding, no. 10, pp. 26-33.
   https://doi.org/10.37434/tpwj2020.10.05
3. Ryabtsev I.A., Babinets A.A., Lentyugov I.P., Turyk E.V. (2019), “Influence of the electrode wire feed rate on the penetration of the base metal during arc surfacing”,Automatic Welding, no. 3, pp. 23-29.
   https://doi.org/10.15407/as2019.03.03
4. Dolinenko V.V., Kolyada V.A., Shapovalov E.V., Skuba T.G. (2013), “Algorithm of technological adaptation for automated multi-pass MIG/MAG welding of products with variable groove widths”,Automatic Welding, no. 1, pp. 16-22.
5. “Fronius TPS-320i”, available at: https://www.fronius.com/en/welding-technology/products/ manual-welding/migmag/tpsi/tpsi/tps-320i (accessed June 18, 2021).
6. “Synergetic control of welding and its advantages”, available at: https://patonweld.ua/41-chto-takoe-sinergeticheskoe-upravlenie-dlya-mig-mag-svarki-i-kakie-ego-preimushchestva (accessed June 18, 2021).
7. “Intelligent Arc Welding Robot. FANUC ARC Mate 100-iC”, available at: https:// fanuc.com/fvl/vn/product/catalog/ARCMateiC(E)-06.pdf (accessed June 18, 2021).
8. Leonenkov A.(2005), Fuzzy modeling in MATLAB and fuzzyTECH,  Petersburg, BHV.
9. Pegat A.(2009), Fuzzy modeling and control, Moscow, BINOM, Knowledge Laboratory.
10. Kosko B. (1994), “Fuzzy Systems as Universal Approximators”, IEEE Trans. on Compu­ters, Vol. 43, no. 11, pp. 1329-1333.
    https://doi.org/10.1109/12.324566
    

Full text: PDF

V.V. Stanytsina, V.O. Artemchuk, O.Yu. Bogoslavska

Èlektron. model. 2021, 43(5):55-72
https://doi.org/10.15407/emodel.43.05.055

ABSTRACT

The article provides an overview of approaches to greenhouse gas emissions taxation and taxThe article provides an overview of approaches to greenhouse gas emissions taxation and taxrates in European countries. To compare heated boilers with different characteristics, whichrun on different fuels the average cost of thermal energy for the life cycle LCOH was used.Environmental tax on environmental pollution (as a component of LCOH) is calculated for thethree most common types of boilers in Ukrainian boilers with a capacity of 4.65 to 58 MW,burning natural gas, coal, and fuel oil, as well as for low-power boilers (0.5 and 1 MW ), burningfossil fuels and biofuels. The eco-tax for biofuel boilers is calculated under current taxationand subject to the adoption of a European approach to taxation of carbon dioxide emissions. Itis established that at the current rates there are almost no economic incentives for the introductionof technologies to reduce the concentration of pollutants in emissions, but increasing therates of environmental tax may change this situation. However, provided that rates are evenlyincreased for all types of boilers, the eco-tax for natural gas boilers will remain the lowest,while for biofuel boilers it will increase significantly, which contradicts the stated goal of decarbonizingthe economy. It is shown that not only the change of environmental tax rates canbe an effective tool for achieving the goals of sustainable development, as the principles of itsadministration are also important.

KEYWORDS

environmental tax, greenhouse gases, thermal energy, biofuels, fossil fuels.

REFERENCES

1. Rydzewski, P. (2020), “Between economy and security. dilemmas of sustainable developmentin the COVID-19 era — an example of Great Britain”, Problemy Ekorozwoju,Vol. 15, no. 2, pp. 15-21.
   https://doi.org/10.35784/pe.2020.2.02
2. Law of Ukraine “On Ratification of the Association Agreement between Ukraine, of theone part, and the European Union, the European Atomic Energy Community and theirMember States, of the other part” of September 16, 2014 № 1678-VII, available at:https://zakon.rada.gov.ua/laws/show/1678-18#Text (accessed June 23, 2021).
3. Law of Ukraine “On Ratification of the Protocol on the Accession of Ukraine to the Treatyestablishing the Energy Community” of December 15, 2010 № 2787-VI, available at:https://zakon.rada.gov.ua/laws/show/2787-17#Text (accessed June 23, 2021).
4. National plan to reduce emissions from large combustion plants. Order of the Cabinet ofMinisters of Ukraine of November 8, 2017 № 796-r, available at: https://zakon.rada.gov.ua/ laws/show/796-2017-%D1%80#Text (accessed June 23, 2021).
5. Directive (EU) 2015/2193 of the European Parliament and of the Council of November25, 2015 on the limitation of emissions of certain pollutants into the air from mediumcombustion plants, available at: https://eur-lex.europa.eu/legal-content/EN/TXT/?uri=CELEX%3A32015L2193 (accessed June 23, 2021).
6. Tax Code of Ukraine, available at: https://zakon.rada.gov.ua/laws/show/2755-17 (accessedJune 23, 2021).
7. Commission notice. Guidelines on state aid for environmental protection and energy developmentfor 2014-2020, available at: https://zakon.rada.gov.ua/laws/show/984_ 009-14#Text (accessed June 23, 2021).
8. Carbon Taxes in Europe in 2019, of November 14, 2019, available at: https:// taxfoundation.org/carbon-taxes-in-europe-2019/ (accessed June 23, 2021).
9. Climate change legislation in Finland. An excerpt from the 2015 Global Climate LegislationStudy. A review of climate change legislation in 99 countries, available at:https://www.lse.ac.uk/GranthamInstitute/wp-content/uploads/2015/05/FINLAND.pdf (accessedJune 23, 2021).
10. Carbon Taxes in Europe in 2020 of October 08, 2020, available at: https:// taxfoundation.org/carbon-taxes-in-europe-2020/ (accessed June 23, 2021).
11. The draft law on exemption of biofuels from the CO2 tax is another step for the developmentof Ukrainian bioenergy - the State Agency for Energy Efficiency of October 10,2020, Government portal, available at: https://www.kmu.gov.ua/news/zakonoproektshchodo-zvilnennya-biopaliva-vid-podatku-so2-shche-odin-krok-dlya-rozvitku-ukrayinskoyi-bioenergetiki-derzhenergoefektivnosti (accessed June 23, 2021).
12. State Energy Efficiency: The draft law on exemption of biofuels from the tax on CO2emissions is another incentive for investment in bioenergy of September 04, 2021, availableat: https://www.kmu.gov.ua/news/derzhenergoefektivnosti-zakonoproekt-shchodozvilnennya-biopaliva-vid-podatku-za-vikidi-so2-shche-odin-stimul-dlya-investicij-v-bioenergetiku(accessed June 23, 2021).
13. The concept of "green" energy transition of Ukraine until 2050, available at: https://mepr.gov.ua/news/34424.html (accessed June 23, 2021).
14. What will the decarbonisation rate mean for renewable energy investments? of January 03,2021, available at: https://vkp.ua/publication/shcho-oznachatime-kurs-na- dekarbonizatsiyu-dlya-investitsiy-u-vidnovlyuvalnu-energetiku (accessed June 23, 2021).
15. Strategy of low-carbon development of Ukraine until 2050. Project 2018, available at:https:// mepr.gov.ua/files/docs/Proekt/LEDS_ua_last.pdf (accessed June 23, 2021).
16. Maliarenko, O., Horskyi, V., Stanytsina, V.,·Bogoslavska, O. and·Kuts, H. (2020), “AnImproved Approach to Evaluation of the Efficiency of Energy Saving Measures Based onthe Indicator of Products Total Energy Intensity. Studies in Systems”, Decision and Control,Vol. 298, pp. 201-216.
    https://doi.org/10.1007/978-3-030-48583-2_13
17. Bogoslavska, O., Stanytsina, V., Artemchuk, V., Garmata, O. and Lavrinenko, V. (2021),“Comparative Efficiency Assessment of Using Biofuels in Heat Supply Systems by LevelizedCost of Heat into Account Environmental Taxes”, Studies in Systems, Decision andControl, Vol. 346, pp. 167-185.
    https://doi.org/10.1007/978-3-030-69189-9_10
18. Stanytsina, V., Artemchuk, V., Bogoslavska, O., Ridei, N. and Zinovieva, I. (2021), “Theinfluence of environmental tax rates on the Levelized cost of heat on the example of organicand biofuels boilers in Ukraine”, E3S Web of Conferences 280, 09012 (2021).
    https://doi.org/10.1051/e3sconf/202128009012
    
19. Foumani, M. and Smith-Miles, K. (2019), “The impact of various carbon reduction policieson green flowshop scheduling”, Applied Energy, Vol. 249, pp. 300-315
    https://doi.org/10.1016/j.apenergy.2019.04.155
    
20. Nong, D. (2020), “Development of the electricity-environmental policy CGE model(GTAP-E-PowerS): A case of the carbon tax in South Africa”, Energy Policy, Vol. 140,no. 111375.
    https://doi.org/10.1016/j.enpol.2020.111375
21. Kondo, R., Kinoshita, Y. and Yamada, T. (2019), “Green Procurement Decisions withCarbon Leakage by Global Suppliers and Order Quantities under Different Carbon Tax”,Sustainability, Vol. 11, no. 13.
    https://doi.org/10.3390/su11133710
22. Streimikiene, D., Siksnelyte, I., Zavadskas, E. and Cavallaro, F. (2018), “The Impact ofGreening Tax Systems on Sustainable Energy Development in the Baltic States”, Energies,Vol. 11, no. 5.
    https://doi.org/10.3390/en11051193
23. Baez, M.J. and Larriba Martínez, T. (2015), Technical Report on the Elaboration of a CostEstimation Methodology. No. D.3.1, Creara, Madrid, Spain.
24. Projected Costs of Generating Electricity (2010). International Energy Agency (IEA).
25. Kuts, G.O., Stanytsina, V.V. and Kobernik, V.S. (2016), “Comparative estimate of thecost of thermal energy from the operating and projected heat-generating sources for thesystems of heat supply of Ukraine”, Problemy zahalnoyi enerhetyky, Vol. 3, no. 46,pp. 12-18.
    https://doi.org/10.15407/pge2016.03.012
26. Draft Law № 2367-1 of November 18, 2019 “On Amendments to the Tax Code ofUkraine to Increase Environmental Tax Rates and Implement European Principles ofModernization of Ukrainian Industry”, available at: http://w1.c1.rada.gov.ua/pls/zweb2/webproc4_1?pf3511=67431 (accessed June 23, 2021).
27. Draft Law № 2367 of November 1, 2019 “On Amendments to the Tax Code of Ukraine toIncrease Environmental Tax Rates for Additional Measures to Promote Health and ImproveHealth Care of Citizens of Ukraine”, available at: http://w1.c1.rada.gov.ua/pls/zweb2/webproc4_1?pf3511=67260 (accessed June 23, 2021).
28. Stanytsina, V., Kuts, G., Teslenko, O. and Malyarenko, O. (2020), “Comparative analysisof the average cost of heat energy produced in boilers of different power, taking into accountthe environmental component”, Enerhotekhnolohiyi ta resursozberezhennya, Vol. 2,pp. 55-62.
    https://doi.org/10.33070/etars.2.2020.07

Full text: PDF