Keywords
nonlinear system
analytical method
numerical method
static stability
the ultimate indignation
How to Cite
Abstract
Electric power system is a highly nonlinear dynamic system. Comparison of analytical and numerical methods of stability analysis of nonlinear systems is full execution. By calculations on the test scheme for the cross section of the West-Vinnitsa IPS of Ukraine, it is shown that to check its stability "in the small" may not be sufficient analysis of the linearized model of power system.As a small disturbance, it was decided to cut 5% of the load of the powerful substation of the Kiev energy center. The automatic regulator of excitation of a strong action which actually is installed at the station was taken into account for the generator of the block number 2 of Khmelnitsky NPP. The load was taken into account by the static characteristics of voltage and frequency. For repair conditions of IPS of Ukraine, there may be situations when the effects of automatic regulation of excitement of generators leads to oscillation mode parameters and risk of violation of stability of the ECO. Efficient numerical solution of the problem of sustainability of EES in the program of the Institute of electrodynamics of NAS of Ukraine ATS-74, numerical-analytical algorithms which take into account the features of the EPS as nonlinear systems, allows to analyze not only the dynamic stability, but static stability of the EPS by computing the transient process at small finite perturbation. Referenses 6, figures 6.
References
Avramenko V.N., Krylov V.A., Chernenko P.A., Prikhno V.L. Mathematical models and software tools for solving problems of automated dispatch control of power systems. Kyiv: Institute of Electrodynamics of the National Academy of Sciences of Ukraine, 2012. 303 p.
Avramenko V.N., Yuneeva N.T., Gureeva T.M., Babich N.A. Test model of the ECO for comparison of computer models for the analysis of stability and survivability of the ECO of Ukraine. Electricheskiye seti I sistemy. 2017. No 4.
Andronov A.A., Witt A.A., Khaikin S.E. Theory of Oscillations. M.: Nauka, 1981. 568 p.
Kondratenko I.P., Raschepkin A.P., Vashchyshyn D.D. Electromechanical energy conversion in a flat linear generator with permanent magnets. Pratsi Instytutu Elektrodynamiky NANU. 2012. Issue 33. Pp. 39–45.
Krylov N.M., Bogolyubov N.N. Introduction to nonlinear mechanics. Kyiv: Izd. Academy of Sciences of the Ukrainian SSR, 1937. 403 p.
Shydlovska N.A., Samoylenko V.G. On some problems of nonlinear electrical engineering and mathematical methods of their research. Terhnichna Elektrodynamika. 2008. No 5. Pp. 3–11.
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