# THREE-PHASE ENERGY SUPPLY SYSTEMS SIMULATION FOR THE TOTAL POWER LOSSES COMPONENTS ASSESSMENT

## DOI:

https://doi.org/10.20998/2074-272X.2016.4.06## Keywords:

energy supply system, power active filter, the minimum possible losses, total losses power, three-dimensional complex vector, Matlab-model of the three-phase energy supply system## Abstract

*Purpose.**The goal is to*

**optimize a structure of Matlab-model of the three-phase energy supply system with power active filter. The mathematical model that describes the energy supply system modes of operation which contains additional losses is proposed.****Methodology.**We have applied concepts of the electrical circuits theory, mathematical modeling elements based on linear algebra and vector calculus, mathematical simulation in Matlab package.**Results.**We have developed two models of three-phase energy supply system. The first one is based on a vector representation, and the second one on the matrix representation of energy processes. Using these models we have solved the problem of maintaining unchanged the average useful power for 279 cases of energy supply system modes of operation.**Originality**. We have developed methods of mathematical analysis of a three-phase energy supply systems with polyharmonic voltages and currents in the symmetric and asymmetric modes.**Practical value.**We have created Matlab-model of a three-phase energy supply system with automated calculation of a correction factor. It allows reducing more than one order the time for energy processes elucidation in multiphase systems.## References

** 1. **Akagi H., Kanazawa Y., Nabae A. Instantaneous reactive power compensators comprising switching devices without energy storage components.

*IEEE Transactions on Industry Applications*, 1984, vol.IA-20, no.3, pp. 625-630.

**doi:**

**10.1109/TIA.1984.4504460**.

** 2. **Wong M.-C., Dai N.-Y., Lam C.-S.

*«Active Power Filters», Parallel Power Electronics Filters in Three-Phase Four-Wire Systems*. Springer Singapore, 2016. pp. 59-165.

**doi: 10.1007/978-981-10-1530-4_3.**

** 3. **Artemenko M.Yu., Batrak L.M., Mykhalskyi V.M., Polishchuk S.Y. Analysis of possibility to increase the efficiency of three-phase four-wire power system by means of shunt active filter.

*Tekhnichna elektrodynamika*, 2015, no.6, pp. 12-18. (Ukr).

** 4. **Artemenko M.Yu., Batrak L.M., Polishchuk S.Y., Mykhalskyi V.M., Shapoval I.A. The effect of load power factor on the efficiency of three-phase four-wire power system with shunt active filter.

*2016 IEEE 36th International Conference on Electronics and Nanotechnology (ELNANO)*, IEEE, 2016. pp. 277-282.

**doi: 10.1109/ELNANO.2016.7493067.**

** 5. **Zhemerov G.G., Tugay D.V. Physical meaning of the «reactive power» concept applied to three-phase energy supply systems with non-linear load.

*Electrical engineering & electromechanics*, 2015, no.6, pp. 36-42. (Rus).

**doi: 10.20998/2074-272X.2015.6.06.**

** 6. **Zhemerov G.G., Tugay D.V. An universal formula clarification to determine the power losses in the three-phase energy supply systems.

*Bulletin of NTU «KhPІ»*, 2015, no.12, pp. 339-343. (Rus).

** 7. **Peng F.Z., Ott G.W., Adams D.J. Harmonic and reactive power compensation based on the generalized instantaneous reactive power theory for three-phase four-wire systems.

*IEEE Transactions on Power Electronics*, 1998, vol.13, nо.6, pp. 1174-1181.

**doi: 10.1109/63.728344**.

** 8. **Afonso J., Couto C., Martins J. Active filters with control based on p-q theory.

*IEEE Industrial Electronics Society Newsletter*, 2000, vol.47, no.3, pp. 5-10.

** 9. **Kim H.S., Akagi H. The instantaneous power theory on the rotating p-q-r reference frames.

*Proceedings of the IEEE 1999 International Conference on Power Electronics and Drive Systems. PEDS'99 (Cat. No.99TH8475)*, 1999, pp. 422-427.

**doi: 10.1109/PEDS.1999.794600**.

** 10. **G. Zhemerov, N. Ilina, D. Tugay. The Theorem of Minimum Energy Losses in Three-Phase Four-Wire Energy Supply System.

*2016 2nd IEEE International Conference on Intelligent Energy and Power Systems (IEPS-2016)*. June 07-11, 2016, Kyiv, Ukraine, pp. 52-54.

**doi: 10.1109/IEPS.2016.7521889.**

** 11. **Zhemerov G.G., Tugay D.V. Components of total electric energy losses power in pqr spatial coordinates.

*Electrical engineering & electromechanics*, 2016, no.2, pp. 11-19. (Rus).

**doi: 10.20998/2074-272X.2016.2.02.**

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*Electrical Engineering & Electromechanics*, (4), 43–53. https://doi.org/10.20998/2074-272X.2016.4.06

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