Research Article
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Doğrusal olmayan yükler için gerilim kaynaklı PAF’nin GSSA metodu ile matematiksel modellenmesi

Year 2018, Volume: 22 Issue: 4, 1071 - 1079, 01.08.2018
https://doi.org/10.16984/saufenbilder.315352

Abstract

Bu çalışma ile iyi bilinen genelleştirilmiş
ortalama model kullanılarak gerilim kaynaklı paralel aktif filtrenin (PAF)
matematiksel olarak modellenmesi amaçlanmaktadır. Bu amaç için genelleştirilmiş
durum uzay ortalama metodu (GSSA) uyarlanmıştır. Sistemin doğrusalsızlığı GSSA
yöntemi ile kaldırılır. Sistemin durum denklemleri arasındaki bağıntı doğrusal
denklemler ile ifade edilir. Sistem parametrelerine tam ve hızlı bir yakınsama
sağlanır. Bu yöntem sayesinde uzun çalışma süresi, sapma ve büyük dosya
boyutları gibi birçok soruna neden olan doğrusal olmayan gerçek devre
elemanları ortadan kaldırılmıştır. Paralel aktif filtre olarak tek fazlı tam
köprü voltaj besleme invertörü önerilmiştir. Doğrusal olmayan yük olarak RL
yüklü diyot doğrultucu devresi kullanılmıştır. Bu çalışma sonucunda, GSSA
yöntemi ile matematiksel olarak modellenen paralel aktif filtrenin benzetim
sonuçları ile PSIM yazılımıyla gerçek zamanlı tasarlanan paralel aktif
filtrenin güç benzetim sonuçları karşılaştırılmıştır. Matematiksel model ile
gerçek model üzerinden alınan sonuçlarda iyi bir eşleşme olduğu
gözlemlenmiştir.

References

  • [1] G. Nirmal, A. Vineesha, and A. Professor, “Design and Implementation of Shunt Active Power Filter Based Predictive Control Algorithm,” International Journal of Advanced Research in Electrical, vol. 4, no. 3, pp. 1531-1538, 2015.
  • [2] Surendhar, B., Ramu, K., “Shunt Active Power Filter for Power Quality Improvement By SAPF Using PV System,” International Journal & Magazine of Engineering, Technology, Management and Research, vol. 2, no. 12, pp. 75–81, 2015.
  • [3] A. Singh and P. Baredar, “Power quality analysis of shunt active power filter based on renewable energy source,” in 2014 International Conference on Advances in Engineering & Technology Research (ICAETR - 2014), 2014, pp. 1–5.
  • [4] M. Vijayakumar and S. Vijayan, “PV Based Three-Level NPC Shunt Active Power Filter with Extended Reference Current Generation Method,” International Journal of Electrical Energy, vol. 4, no. 2, pp. 258–267, 2014.
  • [5] B. Majhi, “Design of a Shunt Active Power Filter with Grid connected Inverter Control for a Photovoltaic System,” M.S. thesis, Dept. Elect. Eng., National Institute of Technology, Rourkela-Odisha, India, 2015.
  • [6] E. Srinivasulu Reddy and P. R. Chandra, “Design and Analysis of Shunt Active Power Filter for Grid Connected RES System,” International Journal of Innovative Technologies, vol. 4, no. 6, pp. 0963–0968, 2016.
  • [7] A. J. Viji and T. A. A. Victoire, “A comparative study of 3 Phi SAPF with Different reference current generation,” Control Engineering and Applied Informatics, vol. 16, no. 4, pp. 99–106, Dec. 2014.
  • [8] Y. Chen, T. Ji, M. Li, Q. Wu, and X. Wang, “Power System Harmonic Estimation Based on Park Transform,” J Electr Eng Technol, vol. 11, no. 1, pp. 1921–718, 2016.
  • [9] H. Akagi, “New trends in active filters for power conditioning,” IEEE Transactions on Industry Applications, vol. 32, no. 6, pp. 1312–1322, 1996.
  • [10] H. Akagi, “Active Harmonic Filters,” Proceedings of the IEEE, vol. 93, no. 12, pp. 2128–2141, Dec. 2005.
  • [11] V. A. Jeraldine and M. Sudhakaran, “Reduction of THD in Single Phase PAF With PSD Method for Reference Current Generation,” International Journal of Engineering, vol. 1, no. 5, pp. 31–34, 2012.
  • [12] A. K. Al-Othman, M. E. Alsharidah, N. A. Ahmed, and B. N. Alajmi, “Model Predictive Control for Shunt Active Power Filter in Synchronous Reference Frame,” J Electr Eng Technol, vol. 11, pp. 1921–718, 2016.
  • [13] B. Sun, Y. Xie, H. Ma, and L. Cheng, “Analysis and Application of Repetitive Control Scheme for Three-Phase Active Power Filter with Frequency Adaptive Capability,” J Electr Eng Technol, vol. 11, pp. 1921–718, 2016.
  • [14] T. Platek, “Power system stability with parallel active filter ensuring compensation of capacitive reactive power of a resonant LC circuit,” Bulletin Of The Polish Academy Of Sciences Technical Sciences, vol. 60, no. 2, 2012.
  • [15] H. Nawar, A. Alobidi, and M. Ismail, “Parallel Active Filter Modelling and control strategy for harmonic elimination,” International Journal of Innovative Research in Advanced Engineering, vol. 2, no. 2, pp. 2349–2163, 2015.
  • [16] M. Gwóźdź, “Power electronics parallel active filter with controlled dynamics and improved EM immunity,” Przegląd Elektrotechniczny (Electrical Review), vol. 87, no. 1, pp. 33–2097, 2011.
  • [17] A. Nasiri, A. E. Amac, and A. Emadi, “Series-Parallel Active Filter/Uninterruptible Power Supply System,” Electric Power Components and Systems, vol. 32, no. 11, pp. 1151–1163, Nov. 2004.
  • [18] A. Emadi, “Modeling and Analysis of Multiconverter DC Power Electronic Systems Using the Generalized State-Space Averaging Method,” IEEE Transactions on Industrial Electronics, vol. 51, no. 3, pp. 661–668, Jun. 2004.
  • [19] A. Emadi, “Modeling of Power Electronic Loads in AC Distribution Systems Using the Generalized State-Space Averaging Method,” IEEE Transactions on Industrial Electronics, vol. 51, no. 5, pp. 992–1000, Oct. 2004.
  • [20] J. Mahdavi, A. Emaadi, M. D. Bellar, and M. Ehsani, “Analysis of power electronic converters using the generalized state-space averaging approach,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 8, pp. 767–770, 1997.
  • [21] S. Rahmani, K. Al-Haddad, and H. Y. Kanaan, “A comparative study of shunt hybrid and shunt active power filters for single-phase applications: Simulation and experimental validation,” Mathematics and Computers in Simulation, vol. 71, no. 4–6, pp. 345–359, Jun. 2006.
  • [22] A. Nasiri and A. Emadi, “Modeling, simulation, and analysis of active filter systems using generalized state space averaging method,” in IECON’03. 29th Annual Conference of the IEEE Industrial Electronics Society (IEEE Cat. No.03CH37468), 2003, vol. 3, pp. 1999–2004.
  • [23] S. Rechka, É. Ngandui, J. Xu, and P. Sicard, “Performance evaluation of harmonics detection methods applied to harmonics compensation in presence of common power quality problems,” Mathematics and Computers in Simulation, vol. 63, no. 3–5, pp. 363–375, Nov. 2003.
  • [24] S. R. Sanders, J. M. Noworolski, X. Z. Liu, and G. C. Verghese, “Generalized averaging method for power conversion circuits,” IEEE Transactions on Power Electronics, vol. 6, no. 2, pp. 251–259, Apr. 1991.
  • [25] H. Ebrahimi and H. El-Kishky, “A novel Generalized State-Space Averaging (GSSA) model for advanced aircraft electric power systems,” Energy Conversion and Management, vol. 89, pp. 507–524, Jan. 2015.
  • [26] L. J. Yu, T. Houjun, and G. Xin, “Modelling of a Witricity System Using GSSA Method,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 12, no. 5, pp. 3697–3704, 2014.
  • [27] M. Tuna, A. E. Amac, and M. Ak, “The comparative analysis of boost DC/DC converter used in hybrid electric vehicles,” Energy Education Science and Technology Part A: Energy Science and Research, vol. 30, no. 1, 2012.
  • [28] L. Dong, H. Ma, and F. Xu, “Modeling and analysis of PWM converters with a new GSSA method,” in 2008 34th Annual Conference of IEEE Industrial Electronics, 2008, pp. 821–826.
  • [29] P. T. Krein, J. Bentsman, R. M. Bass, and B. L. Lesieutre, “On the use of averaging for the analysis of power electronic systems,” IEEE Transactions on Power Electronics, vol. 5, no. 2, pp. 182–190, Apr. 1990.
  • [30] H. E. Darkhaneh, J. R. Gatabi, and H. El-Kishky, “A novel GSSA method for modeling of controllers in the multi-converter system of an Advanced Aircraft Electric Power System (AAEPS),” in 2012 IEEE International Power Modulator and High Voltage Conference (IPMHVC), 2012, pp. 795–798.
  • [31] A. Yazdani and R. Iravani, “A Generalized State-Space Averaged Model of the Three-Level NPC Converter for Systematic DC-Voltage-Balancer and Current-Controller Design,” IEEE Transactions on Power Delivery, vol. 20, no. 2, pp. 1105–1114, Apr. 2005.
  • [32] C. Q. Lee, “Generalized state-space averaging approach for a class of periodically switched networks,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 11, pp. 1078–1081, 1997.

Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method

Year 2018, Volume: 22 Issue: 4, 1071 - 1079, 01.08.2018
https://doi.org/10.16984/saufenbilder.315352

Abstract

This work aims to improve well known
generalized averaged models for mathematical modelling of parallel active
filter (PAF) with voltage supply. To achieve this task, the method is adopted
to generalized state space averaging (GSSA) method. Non-linearity of the system
is removed by using GSSA method. Relation between the state variables of the
system is expressed by linear equations. An exact and fast approximation of the
system parameters is achieved. Non-linearity of real elements that causes many
problems such as long execution time, divergence, and huge produced files do
not exist thanks to the method. A single phase full-bridge voltage supply
inverter is proposed as a parallel active filter. A diode rectifier with RL
load is used as a nonlinear load. In this study, simulation results of parallel
active filter mathematically modeled with GSSA model are compared to real-time
designed simulation results of parallel active filter realized power simulation
with PSIM software. In the results obtained through mathematical models with
real model has been observed that a good match.

References

  • [1] G. Nirmal, A. Vineesha, and A. Professor, “Design and Implementation of Shunt Active Power Filter Based Predictive Control Algorithm,” International Journal of Advanced Research in Electrical, vol. 4, no. 3, pp. 1531-1538, 2015.
  • [2] Surendhar, B., Ramu, K., “Shunt Active Power Filter for Power Quality Improvement By SAPF Using PV System,” International Journal & Magazine of Engineering, Technology, Management and Research, vol. 2, no. 12, pp. 75–81, 2015.
  • [3] A. Singh and P. Baredar, “Power quality analysis of shunt active power filter based on renewable energy source,” in 2014 International Conference on Advances in Engineering & Technology Research (ICAETR - 2014), 2014, pp. 1–5.
  • [4] M. Vijayakumar and S. Vijayan, “PV Based Three-Level NPC Shunt Active Power Filter with Extended Reference Current Generation Method,” International Journal of Electrical Energy, vol. 4, no. 2, pp. 258–267, 2014.
  • [5] B. Majhi, “Design of a Shunt Active Power Filter with Grid connected Inverter Control for a Photovoltaic System,” M.S. thesis, Dept. Elect. Eng., National Institute of Technology, Rourkela-Odisha, India, 2015.
  • [6] E. Srinivasulu Reddy and P. R. Chandra, “Design and Analysis of Shunt Active Power Filter for Grid Connected RES System,” International Journal of Innovative Technologies, vol. 4, no. 6, pp. 0963–0968, 2016.
  • [7] A. J. Viji and T. A. A. Victoire, “A comparative study of 3 Phi SAPF with Different reference current generation,” Control Engineering and Applied Informatics, vol. 16, no. 4, pp. 99–106, Dec. 2014.
  • [8] Y. Chen, T. Ji, M. Li, Q. Wu, and X. Wang, “Power System Harmonic Estimation Based on Park Transform,” J Electr Eng Technol, vol. 11, no. 1, pp. 1921–718, 2016.
  • [9] H. Akagi, “New trends in active filters for power conditioning,” IEEE Transactions on Industry Applications, vol. 32, no. 6, pp. 1312–1322, 1996.
  • [10] H. Akagi, “Active Harmonic Filters,” Proceedings of the IEEE, vol. 93, no. 12, pp. 2128–2141, Dec. 2005.
  • [11] V. A. Jeraldine and M. Sudhakaran, “Reduction of THD in Single Phase PAF With PSD Method for Reference Current Generation,” International Journal of Engineering, vol. 1, no. 5, pp. 31–34, 2012.
  • [12] A. K. Al-Othman, M. E. Alsharidah, N. A. Ahmed, and B. N. Alajmi, “Model Predictive Control for Shunt Active Power Filter in Synchronous Reference Frame,” J Electr Eng Technol, vol. 11, pp. 1921–718, 2016.
  • [13] B. Sun, Y. Xie, H. Ma, and L. Cheng, “Analysis and Application of Repetitive Control Scheme for Three-Phase Active Power Filter with Frequency Adaptive Capability,” J Electr Eng Technol, vol. 11, pp. 1921–718, 2016.
  • [14] T. Platek, “Power system stability with parallel active filter ensuring compensation of capacitive reactive power of a resonant LC circuit,” Bulletin Of The Polish Academy Of Sciences Technical Sciences, vol. 60, no. 2, 2012.
  • [15] H. Nawar, A. Alobidi, and M. Ismail, “Parallel Active Filter Modelling and control strategy for harmonic elimination,” International Journal of Innovative Research in Advanced Engineering, vol. 2, no. 2, pp. 2349–2163, 2015.
  • [16] M. Gwóźdź, “Power electronics parallel active filter with controlled dynamics and improved EM immunity,” Przegląd Elektrotechniczny (Electrical Review), vol. 87, no. 1, pp. 33–2097, 2011.
  • [17] A. Nasiri, A. E. Amac, and A. Emadi, “Series-Parallel Active Filter/Uninterruptible Power Supply System,” Electric Power Components and Systems, vol. 32, no. 11, pp. 1151–1163, Nov. 2004.
  • [18] A. Emadi, “Modeling and Analysis of Multiconverter DC Power Electronic Systems Using the Generalized State-Space Averaging Method,” IEEE Transactions on Industrial Electronics, vol. 51, no. 3, pp. 661–668, Jun. 2004.
  • [19] A. Emadi, “Modeling of Power Electronic Loads in AC Distribution Systems Using the Generalized State-Space Averaging Method,” IEEE Transactions on Industrial Electronics, vol. 51, no. 5, pp. 992–1000, Oct. 2004.
  • [20] J. Mahdavi, A. Emaadi, M. D. Bellar, and M. Ehsani, “Analysis of power electronic converters using the generalized state-space averaging approach,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 8, pp. 767–770, 1997.
  • [21] S. Rahmani, K. Al-Haddad, and H. Y. Kanaan, “A comparative study of shunt hybrid and shunt active power filters for single-phase applications: Simulation and experimental validation,” Mathematics and Computers in Simulation, vol. 71, no. 4–6, pp. 345–359, Jun. 2006.
  • [22] A. Nasiri and A. Emadi, “Modeling, simulation, and analysis of active filter systems using generalized state space averaging method,” in IECON’03. 29th Annual Conference of the IEEE Industrial Electronics Society (IEEE Cat. No.03CH37468), 2003, vol. 3, pp. 1999–2004.
  • [23] S. Rechka, É. Ngandui, J. Xu, and P. Sicard, “Performance evaluation of harmonics detection methods applied to harmonics compensation in presence of common power quality problems,” Mathematics and Computers in Simulation, vol. 63, no. 3–5, pp. 363–375, Nov. 2003.
  • [24] S. R. Sanders, J. M. Noworolski, X. Z. Liu, and G. C. Verghese, “Generalized averaging method for power conversion circuits,” IEEE Transactions on Power Electronics, vol. 6, no. 2, pp. 251–259, Apr. 1991.
  • [25] H. Ebrahimi and H. El-Kishky, “A novel Generalized State-Space Averaging (GSSA) model for advanced aircraft electric power systems,” Energy Conversion and Management, vol. 89, pp. 507–524, Jan. 2015.
  • [26] L. J. Yu, T. Houjun, and G. Xin, “Modelling of a Witricity System Using GSSA Method,” Indonesian Journal of Electrical Engineering and Computer Science, vol. 12, no. 5, pp. 3697–3704, 2014.
  • [27] M. Tuna, A. E. Amac, and M. Ak, “The comparative analysis of boost DC/DC converter used in hybrid electric vehicles,” Energy Education Science and Technology Part A: Energy Science and Research, vol. 30, no. 1, 2012.
  • [28] L. Dong, H. Ma, and F. Xu, “Modeling and analysis of PWM converters with a new GSSA method,” in 2008 34th Annual Conference of IEEE Industrial Electronics, 2008, pp. 821–826.
  • [29] P. T. Krein, J. Bentsman, R. M. Bass, and B. L. Lesieutre, “On the use of averaging for the analysis of power electronic systems,” IEEE Transactions on Power Electronics, vol. 5, no. 2, pp. 182–190, Apr. 1990.
  • [30] H. E. Darkhaneh, J. R. Gatabi, and H. El-Kishky, “A novel GSSA method for modeling of controllers in the multi-converter system of an Advanced Aircraft Electric Power System (AAEPS),” in 2012 IEEE International Power Modulator and High Voltage Conference (IPMHVC), 2012, pp. 795–798.
  • [31] A. Yazdani and R. Iravani, “A Generalized State-Space Averaged Model of the Three-Level NPC Converter for Systematic DC-Voltage-Balancer and Current-Controller Design,” IEEE Transactions on Power Delivery, vol. 20, no. 2, pp. 1105–1114, Apr. 2005.
  • [32] C. Q. Lee, “Generalized state-space averaging approach for a class of periodically switched networks,” IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol. 44, no. 11, pp. 1078–1081, 1997.
There are 32 citations in total.

Details

Subjects Electrical Engineering
Journal Section Research Articles
Authors

Murat Tuna

Ayşe Ergün Amaç This is me

Süreyya Kocabey

Publication Date August 1, 2018
Submission Date May 22, 2017
Acceptance Date August 7, 2017
Published in Issue Year 2018 Volume: 22 Issue: 4

Cite

APA Tuna, M., Ergün Amaç, A., & Kocabey, S. (2018). Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method. Sakarya University Journal of Science, 22(4), 1071-1079. https://doi.org/10.16984/saufenbilder.315352
AMA Tuna M, Ergün Amaç A, Kocabey S. Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method. SAUJS. August 2018;22(4):1071-1079. doi:10.16984/saufenbilder.315352
Chicago Tuna, Murat, Ayşe Ergün Amaç, and Süreyya Kocabey. “Mathematical Modelling of PAF With Voltage Supply for Non-Linear Loads By GSSA Method”. Sakarya University Journal of Science 22, no. 4 (August 2018): 1071-79. https://doi.org/10.16984/saufenbilder.315352.
EndNote Tuna M, Ergün Amaç A, Kocabey S (August 1, 2018) Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method. Sakarya University Journal of Science 22 4 1071–1079.
IEEE M. Tuna, A. Ergün Amaç, and S. Kocabey, “Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method”, SAUJS, vol. 22, no. 4, pp. 1071–1079, 2018, doi: 10.16984/saufenbilder.315352.
ISNAD Tuna, Murat et al. “Mathematical Modelling of PAF With Voltage Supply for Non-Linear Loads By GSSA Method”. Sakarya University Journal of Science 22/4 (August 2018), 1071-1079. https://doi.org/10.16984/saufenbilder.315352.
JAMA Tuna M, Ergün Amaç A, Kocabey S. Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method. SAUJS. 2018;22:1071–1079.
MLA Tuna, Murat et al. “Mathematical Modelling of PAF With Voltage Supply for Non-Linear Loads By GSSA Method”. Sakarya University Journal of Science, vol. 22, no. 4, 2018, pp. 1071-9, doi:10.16984/saufenbilder.315352.
Vancouver Tuna M, Ergün Amaç A, Kocabey S. Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method. SAUJS. 2018;22(4):1071-9.