MODEL OF AIRCRAFT ELECTRICAL POWER SUPPLY SYSTEM CHANNEL OF ALTERNATIVE CURRENT RUNNING ON A GENERALIZED UNBALANCED THREE-PHASE LOAD

This article is devoted to mathematical modeling of the channel of AC on-board power supply systems (PSS) when running on static active-inductive load, connected on a "wye with neutral" and "delta". The mathematical model of aircraft synchronous generator, electricity distribution, three-phase static active-inductive load are considered. When making a mathematical description the author used the equations for the voltages of windings and flux linkages circuits of the stator and rotor of the generator in a stationary system phase coordinates "ABC". When considering the mathematical model of the distribution system, the equations that took into account the drop of the voltages on the active and inductive resistance of the distribution system power wires were used. When considering the mathematical models of three-phase static loads connected on a "wye with neutral" and "delta", the equations that took into account the drop of the voltages on the active and inductive resistance loads were used. The matrix equations system of channel PSS AC when running on a generalized three-phase static active-inductive load was obtained. The three phase static loads scheme connected according to the "delta" scheme was converted to "wye" to simplify the solution of channel PSS AC circuit matrix equations system. The choice of the phase coordinates system "ABC" for the mathematical description of the generator, distribution system and the static load was made due to its advantage over the coordinate system "dq", because the equation written in phase coordinates are valid for symmetric and asymmetric modes of the generator, while the equations written in the coordinate system "dq" will be valid only for symmetric modes. As a result of joint solution of the generator equations, distribution system, three-phase static loads there were obtained the formulae for the generator stator winding phases, generator phases currents, the voltage drops on the load phases and load phases currents connected on a "wye with neutral" and "delta".

math modeling, electrical power-supply system, synchronous generator, three-phase load

1. Demchenko A.G. Modelirovanie elementov bortovykh system elektrosnabzheniya [Simulation of on-board power supply systems in MATLAB]. Moskovskaya molodyozhnaya nauchnoprakticheskaya konferentsiya "Innovatsii v aviatsii i kosmonavtike – 2012 [Moscow youth scientificpractical conference "Innovations in aviation and cosmonautics – 2012"]. Sbornik dokladov [The book of abstracts]. Moscow, Print-salon Publ., 2012, pp. 13–14. (in Russian)

2. Artemenko Yu.P., Scharapov S.S. Primenenie MATLAB v modelirovanii bortovoy sistemy elektrosnabzheniya peremennogo toka [Application of matlab in simulation of airborne power-supply system alternating-current]. Nauchnyy Vestnik MGTU GA [The Scientific Bulletin of the MSTUCA], 2012, no. 185, pp. 77–84. (in Russian)

3. Artemenko Yu.P., Demchenko A.G. Modelirovaniye parallel’noy raboty bortovoy sistemy elektrosnabzheniya peremennogo toka v pakete MATLAB [Simulation of parallel working of alternate current airborne power-supply system in matlab]. Nauchnyy Vestnik MGTU GA [The Scientific Bulletin of the MSTUCA], 2012, no. 185, pp. 55–60.

4. Demchenko A.G. Model' kanala bortovoy sistemy elektrosnabzheniya peremennogo toka [Model of channel airborn electrical power system]. Nauchnyy Vestnik MGTU GA [The Scientific Bulletin of the MSTUCA], 2014, no. 201, pp. 74–85. (in Russian)

5. Artemenko Yu.P., Demchenko A.G. Sovershenstvovaniye modeli kanala bortovoy sistemy elektrosnabzheniya peremennogo toka [Improving model of channel airborn electrical power system of alternating current]. Nauchnyy Vestnik MGTU GA [The Scientific Bulletin of the MSTUCA], 2015, no. 213, pp. 34–42. (in Russian)

6. Karabashev G.P. Modelirovanie rezhimov tryohfaznoj tsepi s poperechnoy nesimmetriey [Modelling of modes of a three-phase chain with cross-section asymmetry]. Otkrytoe obrazovanie [Open education], 2015, no. 3, pp. 51–56. (in Russian)

7. Zakarjukin V.P., Krjukov A.V. Modelirovanie jelementov jelektricheskih sistem v faznyh koordinatah [Modeling elements of electrical systems in phase coordinates]. Vestnik irkutskogo gosudarstvennogo tehnicheskogo universiteta [The Bulletin of Irkutsk state technical university], 2005, no. 3–1 (23), pp. 96–102.

8. Mamikonyants L.G. Analiz nekotorykh aspektov perekhodnyh i asinkhronnykh rezhimov sinkhronnyh i asinkhronnyh mashin [Analysis of some aspects of the transient and asynchronous modes of the synchronous and asynchronous machines]. Moscow, ELEX-KM Publ., 2006, 368 p. (in Russian)

9. Guseinov A.M., Ibragimov F.S. Raschet v faznykh koordinatakh nesimmetrichnykh ustanovivshiksya i perekhodnykh rezhimov v slozhnykh elektroenergeticheskikh sistemakh [The calculation of the unbalanced steady-state and transient operating modes in complex power systems in phase coordinates]. [Electricity], 2012, no. 5, pp. 10–17. (in Russian)

10. Ded A.V., Biryukov S.V., Parshukova A.V. Imitacionnoe modelirovanie v matlab dlitel''nyh nesimmetrichnyh rezhimov sistem jelektrosnabzhenija. [Simulation in Matlab long asymmetrical modes of power supply systems]. Omskij nauchnyj vestnik [Omsk scientific bulletin], 2015, no. 3(143), pp. 248–250. (in Russian)