Development and testing of mathematical model for behaviors prediction of power plant electrochemical batteries of space-rocket objects

Аuthors

Bezruchko K. V.^*, Davidov A. O.^*, Katorgina J. G.^*, Logvin V. M.^*, Stolyarov J. A.^*, Kharchenko A. A.^*, Shirinsky S. V.^*

National Aerospace University «Kharkov Aviation Institute», KhAI, 17, Chkalova St., Kharkiv, 61070, Ukraine

*e-mail: AutonomEnergy@khai.edu

Abstract

Purpose

The main aim of the work is to develop a mathematical model of electrochemical battery. This model makes possible to predict the value of the main parameters and features of the batteries during the longperiod of operation with degradation processes in them.

Development/methodology/approach

The methods of systems engineering and fundamental equations of thermodynamics and electrochemistry were used in the process of mathematical model development. These methods are specified with the help of experimental data.
The output vector of the mathematical model for electrochemical battery contains residual capacity and open-circuit voltage. The operation time is used as the initial parameter. The equation for open-circuit voltage calculation is based on Nernst equation. The residual capacity equation was obtained by means of Erofeev equation modification.

Findings

Testing of mathematical model was carried out at Nickel-Cadmium cells НК-125, НКГ-160 and 3НК-125. By means of experiment the current state of cells and battery were defined. The coefficients of the mathematical model were calculated; continuous prediction of open-circuit voltage and residual capacity of cells and battery for a long operation period have been carried out.
The maximum meaning of average absolute deviation of capacity, which have been obtained experimentally and calculated by means of the model, is less than 0.86 A·h. The maximum of average error is less than 9,7%. The absolute error of the capacity after 20 years of operating is less than 1,1 A·h, and approximation error after 20 years of operating is less than 12%. The confidence interval of relevant parameter after 30 years of operating with the probability of 0,95 is 18A·h for capacity and 0,03 V for voltage.

Research limitations/resume

The present research is the start for the further investigations in the field of electrochemical batteries life-time prolongation of rocket-space objects power plants.

Originality/value

The mentioned researches have made possible to predict the value of the main parameters and electrochemical batteries characteristics both for long-operating power plants of space-rocket hardware and other power plants with electrochemical batteries.

Keywords:

prediction, nickel-cadmium battery, the mathematical model, voltage, capacity, discharge characteristics

References

1. Bezruchko K.V., Davidov A.O., Shirinskii S.V., Frolov V.P., Zemlyanoi K.N., Andryukov R.A. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2007, no. 4 (40), pp. 62-65.
2. Bezruchko K.V., Davidov A.O., Kadigrob T.S., Shirinskii S.V. Aviatsionno-kosmicheskaya tekhnika i tekhnologiya, 2008, no. 6 (53), pp. 66-70.
3. Fan D., White R.E. Journal of the Electrochemical Society, 1991, vol. 138, no. 1, pp. 17-25.
4. Bergveld H.J., Kruijt W.S., Notten P.H.L. Electronic-network modeling of rechargeable NiCd cells and its application to the design of battery management systems, Journal of Power Sources, 1999, vol. 77, no. 2, pp. 143-158.
5. Erdinc O. A dynamic lithium-ion battery model considering the effects of temperature and capacity fading, International Conference on Clean Electrical Power (ICCEP-2009) (Capri, Italy, 9-11 June 2009), Power, Energy, & Industry Applications, Capri, Italy, 2009, pp. 383-386 (758 p.)
6. Bezruchko K.V., Davidov A.O., Sinchenko S.V., Shirinskii S.V. Vestnik Natsionalnogo tekhnicheskogo universiteta «Kharkovskii politekhnicheskii institut», 2012, no. 23, pp.17-28.
7. Bezruchko K.V., Davidov A.O., Sinchenko S.V., Kharchenko A.A., Shirinskii S.V., Azarnov A.L. Vestnik Natsionalnogo tekhnicheskogo universiteta «Kharkovskii politekhnicheskii institut», 2008, no. 48, pp. 81-84.
8. Bezruchko K.V., Davidov A.O., Sidenko S.V. Vestnik Dnepropetrovskogo Universiteta, Dnepropetrovsk, DNU, 2007, no. 9/2, pp. 126-132.
9. Bezruchko K.V., Davidov A.O. Nauchno-tekhnicheskii sbornik «Kosmicheskaya tekhnika. Raketnoe vooruzhenie», 2012, no. 1, pp. 140-148.
10. Manzo M.A., Strawn D.M., Hall S.W. Sixteenth Annual Battery Conference on Applications and Advances (California state university, Long Beach, California Proceedings of the Conference, 09-12 January 2001), Pasadena, California: House of Printing, Inc., 2001, pp. 5966.