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Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link

Year 2016, , 24 - 30, 29.03.2016

Tugce Demirdelen , Mustafa Inci Mehmet Tumay

https://doi.org/10.18100/ijamec.83268

Abstract

The multilevel inverter is coming out as a new type of power inverter choice for high power applications. This type of inverter can constitute high voltage and decrease harmonics by its own circuit topology. This paper presents comparison of three, five and seven levels diode clamped multilevel inverter (DCMLI) topologies based shunt hybrid active power filter for harmonics mitigation of the nonlinear loads. The compensation process is based on synchronous reference frame method. Theoretical analyses and simulation results are obtained from an actual industrial network model in PSCAD. The simulation results are presented for a proposed system in order to demonstrate that the harmonic compensation performance meets the IEEE-519 standard.

Keywords

Harmonic compensation high power applications hybrid active power filter multilevel inverter power quality

References

  • C.-S. Lam, W.-H. Choi, M.-C. Wong, and Y.-D. Han, “Adaptive DC-Link Voltage-Controlled Hybrid Active Power Filters for Reactive Power Compensation,” IEEE Transactions on Power Electronics, vol. 27, no. 4, pp. 1758–1772, Apr. 2012.
  • W.-H. Choi, C.-S. Lam, M.-C. Wong, and Y.-D. Han, “Analysis of DC-Link Voltage Controls in Three-Phase Four-Wire Hybrid Active Power Filters,” IEEE Transactions on Power Electronics, vol. 28, no. 5, pp. 2180–2191, May 2013.
  • C.-S. Lam, M.-C. Wong, W.-H. Choi, X.-X. Cui, H.-M. Mei, and J.-Z. Liu, “Design and Performance of an Adaptive Low-DC-Voltage-Controlled LC-Hybrid Active Power Filter With a Neutral Inductor in Three-Phase Four-Wire Power Systems,” IEEE Transactions on Industrial Electronics, vol. 61, no. 6, pp. 2635–2647, Jun. 2014.
  • S. Rahmani, A. Hamadi, K. Al-Haddad, and L. A. Dessaint, “A Combination of Shunt Hybrid Power Filter and Thyristor-Controlled Reactor for Power Quality,” IEEE Transactions on Industrial Electronics, vol. 61, no. 5, pp. 2152–2164, May 2014.
  • M. Salehifar and A. Shoulaie, “Hybrid active filter for harmonic suppression and reactive power compensation,” in Technical Postgraduates (TECHPOS), 2009 International Conference for, 2009, pp. 1–4.
  • Z. Wei, L. An, P. Jianchun, D. Xia, and P. Ke, “A new hybrid active power filter for harmonic suppression and reactive power compensation,” in Electricity Distribution, 2008. CICED 2008. China International Conference on, 2008, pp. 1–7.
  • J. Wu, A. Luo, S. Peng, F. Ma, Z. Zeng, and M. T. Chau, “System control of hybrid active power filter for reactive power compensation and harmonic suppression,” in Industrial Electronics and Applications (ICIEA), 2011 6th IEEE Conference on, 2011, pp. 862–866.
  • A. Chowdhury, C. Rajagopalan, and M. A. Mulla, “Compensation of three-phase diode rectifier with capacitive filter working under unbalanced supply conditions using series hybrid active power filter,” IET Power Electronics, vol. 7, no. 6, pp. 1566–1577, Jun. 2014.
  • A. Chowdhury, C. Rajagopalan, and M. A. Mulla, “Hardware implementation of series hybrid active power filter using a novel control strategy based on generalised instantaneous power theory,” IET Power Electronics, vol. 6, no. 3, pp. 592–600, Mar. 2013.
  • D. Shaojun, L. Jianben, T. Kun, and C. Qiaofu, “Modelling and industrial application of series hybrid active power filter,” IET Power Electronics, vol. 6, no. 8, pp. 1707–1714, Sep. 2013.
  • L. Wang and A. Luo, “High-capacity hybrid power filter for harmonic suppression and reactive compensation in the power substation,” in Power Electronics and Motion Control Conference, 2004. IPEMC 2004. The 4th International, 2004, vol. 1, pp. 215–220.
  • V. F. Corasaniti, M. B. Barbieri, P. L. Arnera, and M. I. Valla, “Hybrid Active Filter for Reactive and Harmonics Compensation in a Distribution Network,” IEEE Transactions on Industrial Electronics, vol. 56, no. 3, pp. 670–677, Mar. 2009.
  • A. K. Dubey, S. P. Dubey, and A. S. Tomar, “Performance analysis of PSO based hybrid active filter for harmonic and reactive power compensation under non-ideal mains,” in Advanced Electronic Systems (ICAES), 2013 International Conference on, 2013, pp. 202–206.
  • W. Wei-nong and H. Na, “Study on application of hybrid active power filter into harmonic suppression and reactive power compensation,” in Electricity Distribution (CICED), 2012 China International Conference on, 2012, pp. 1–6.
  • J. E. Hernandez, R. P. Kandula, F. C. Lambert, and D. Divan, “A Practical Directional Third Harmonic Hybrid Active Filter for Medium-Voltage Utility Applications,” IEEE Transactions on Industry Applications, vol. 49, no. 6, pp. 2674–2683, Nov. 2013.
  • A. F. Zobaa, “Optimal multiobjective design of hybrid active power filters considering a distorted environment,” IEEE Transactions on Industrial Electronics, vol. 61, no. 1, pp. 107–114, Jan. 2014.
  • A. Luo, Z. Shuai, M. Li, M. T. Chau, L. Zhou, and T. N. Nguyen, “Generalised design method for improving control quality of hybrid active power filter with injection circuit,” IET Power Electronics, vol. 7, no. 5, pp. 1204–1215, May 2014.
  • L. R. Limongi, L. R. Silva Filho, L. G. B. Genu, F. Bradaschia, and M. C. Cavalcanti, “Transformerless Hybrid Power Filter Based on a Six-Switch Two-Leg Inverter for Improved Harmonic Compensation Performance,” IEEE Transactions on Industrial Electronics, pp. 1–1, 2014.
  • N. Hatti, K. Hasegawa, and H. Akagi, “A 6.6-kV Transformerless Motor Drive Using a Five-Level Diode-Clamped PWM Inverter for Energy Savings of Pumps and Blowers,” IEEE Transactions on Power Electronics, vol. 24, no. 3, pp. 796–803, Mar. 2009.
  • A. Varschavsky, J. Dixon, M. Rotella, and L. Morán, “Cascaded Nine-Level Inverter for Hybrid-Series Active Power Filter, Using Industrial Controller,” IEEE Transactions on Industrial Electronics, vol. 57, no. 8, pp. 2761–2767, Aug. 2010.
  • A. M. Massoud, S. J. Finney, A. J. Cruden, and B. W. Williams, “Three-Phase, Three-Wire, Five-Level Cascaded Shunt Active Filter for Power Conditioning, Using Two Different Space Vector Modulation Techniques,” IEEE Transactions on Power Delivery, vol. 22, no. 4, pp. 2349–2361, Oct. 2007.
  • Bharatiraja, C., Jeevananthan, S., Latha, R., Dash, S.S., 2011. Simplified structure-A mapped space vector pulse width modulation for three level neutral point diode clamped multilevel inverter, in: Sustainable Energy and Intelligent Systems (SEISCON 2011), International Conference on. IET, pp. 266–271.
  • Gabriel, O.H., Maswood, A.I., Venkataraman, A., 2012. Multiple-poles multilevel diode-clamped inverter (M 2 DCI) topology for alternative multilevel converter, in: IPEC, 2012 Conference on Power & Energy. IEEE, pp. 497–502.
  • Chong, B., Zhang, L., Waite, M.J., 2013. Three-phase four-leg flying-capacitor multi-level inverter-based active power filter for unbalanced current operation. IET Power Electronics 6, 153–163.
  • Priyan, S.S., Ramani, K., 2013. Implementation of closed loop system for flying capacitor multilevel inverter with stand-alone Photovoltaic input, in: Power, Energy and Control (ICPEC), 2013 International Conference on. IEEE, pp. 281–286.
  • Ajami, A., Jannati Oskuee, M.R., Mokhberdoran, A., Van den Bossche, A., 2013. Developed cascaded multilevel inverter topology to minimise the number of circuit devices and voltage stresses of switches. IET Power Electronics.
  • Baier, C.R., Espinoza, J.R., Rivera, M., Munoz, J.A., Wu, B., Melin, P.E., Yaramasu, V., 2014. Improving Power Quality in Cascade Multilevel Converters Based on Single-Phase Nonregenerative Power Cells. IEEE Transactions on Industrial Electronics 61, 4498–4509.
  • Bai, Z., Zhang, Z., Zhang, Y., 2007. A generalized three-phase multilevel current source inverter with carrier phase-shifted SPWM, in: Power Electronics Specialists Conference. PESC 2007. IEEE, pp. 2055–2060.
  • Fujii, K., De Doncker, R.W., 2007. Optimization of soft-switched flying capacitor multi-level converters applied to STATCOMs, in: Power Electronics and Applications, 2007 European Conference on. IEEE, pp. 1–10.
  • Batschauer, A.L., Mussa, S.A., Heldwein, M.L., 2012. Three-Phase Hybrid Multilevel Inverter Based on Half-Bridge Modules. IEEE Transactions on Industrial Electronics 59, 668–678.
  • Ryszard, S., Pawel, S., Natalia, S., 2013. Four Level Diode-Clamped Back-To-Back Converter with active DC link voltage control, in: Compatibility and Power Electronics (CPE), 2013 8th International Conference on. IEEE, pp. 182–187.
  • Minshull, S.R., Bingham, C.M., Stone, D.A., Foster, M.P., 2008. A new switching scheme for reduced switching frequency and balanced capacitor voltages for back-to-back connected, diode-clamped multilevel converters, in: Power Electronics, Machines and Drives, 2008. 4th IET Conference on. IET, pp. 636–639.
  • Kim J.-H., Sul S.-K., Enjeti P. N., 2008. A carrier-based PWM method with optimal switching sequence for a multilevel four-leg voltage source inverter, IEEE Trans. Ind. Appl., 44, 4, 1239–1248.
  • Loh P. C., Blaabjerg F., Gao F., Baby A., Tan D. A. C., 2008. Pulsewidth modulation of neutral-point-clamped indirect matrix converter, IEEE Trans. Ind. Appl., 44, 6, 1805–1814,
  • Leon J. I., Vazquez S., Portillo R., Franquelo L. G., Carrasco J. M., Wheeler P. W., Watson A. J., 2009. Three-dimensional feedforward space vector modulation applied to multilevel diode-clamped converters, IEEE Trans. Ind. Electron., 56, 1, 101–109.
  • Singh, B., Mittal, N., VERMA, D., Singh, D.D., Singh, S.P., Dixit, R., Singh, M., Baranwal, A., 2012. Multi-Level Inverter: A Lıterature Survey On Topologies And Control Strategies. International Journal of Reviews in Computing 10.
  • A. Sapin, P. K. Steimer, and J.-J. Simond, 2007. Modeling, simulation, and test of a three-level voltage-source inverter with output LC filter and direct torque control, IEEE Trans. Ind. Appl., 43, 2, 469–475.
  • Pan Z., Peng F. Z., Corzine K. A., Stefanovic V. R., Leuthen J. M., Gataric S., 2005. Voltage balancing control of diode-clamped multilevel rectifier/inverter systems, IEEE Trans. Ind. Appl., 41, 6, 1698–1706.
  • Holtz J., 1992. Pulsewidth modulation—A survey, IEEE Trans. Ind. Electron., 39, 5, 410–420.
  • Hua C.-C., Wu C.-W., Chuang C.-W., 2009. A digital predictive current control with improved sampled inductor current for cascaded inverters, IEEE Trans. Ind. Electron.,56, 5, 1718–1726.

Year 2016, , 24 - 30, 29.03.2016

Tugce Demirdelen , Mustafa Inci Mehmet Tumay

https://doi.org/10.18100/ijamec.83268

Abstract

References

  • C.-S. Lam, W.-H. Choi, M.-C. Wong, and Y.-D. Han, “Adaptive DC-Link Voltage-Controlled Hybrid Active Power Filters for Reactive Power Compensation,” IEEE Transactions on Power Electronics, vol. 27, no. 4, pp. 1758–1772, Apr. 2012.
  • W.-H. Choi, C.-S. Lam, M.-C. Wong, and Y.-D. Han, “Analysis of DC-Link Voltage Controls in Three-Phase Four-Wire Hybrid Active Power Filters,” IEEE Transactions on Power Electronics, vol. 28, no. 5, pp. 2180–2191, May 2013.
  • C.-S. Lam, M.-C. Wong, W.-H. Choi, X.-X. Cui, H.-M. Mei, and J.-Z. Liu, “Design and Performance of an Adaptive Low-DC-Voltage-Controlled LC-Hybrid Active Power Filter With a Neutral Inductor in Three-Phase Four-Wire Power Systems,” IEEE Transactions on Industrial Electronics, vol. 61, no. 6, pp. 2635–2647, Jun. 2014.
  • S. Rahmani, A. Hamadi, K. Al-Haddad, and L. A. Dessaint, “A Combination of Shunt Hybrid Power Filter and Thyristor-Controlled Reactor for Power Quality,” IEEE Transactions on Industrial Electronics, vol. 61, no. 5, pp. 2152–2164, May 2014.
  • M. Salehifar and A. Shoulaie, “Hybrid active filter for harmonic suppression and reactive power compensation,” in Technical Postgraduates (TECHPOS), 2009 International Conference for, 2009, pp. 1–4.
  • Z. Wei, L. An, P. Jianchun, D. Xia, and P. Ke, “A new hybrid active power filter for harmonic suppression and reactive power compensation,” in Electricity Distribution, 2008. CICED 2008. China International Conference on, 2008, pp. 1–7.
  • J. Wu, A. Luo, S. Peng, F. Ma, Z. Zeng, and M. T. Chau, “System control of hybrid active power filter for reactive power compensation and harmonic suppression,” in Industrial Electronics and Applications (ICIEA), 2011 6th IEEE Conference on, 2011, pp. 862–866.
  • A. Chowdhury, C. Rajagopalan, and M. A. Mulla, “Compensation of three-phase diode rectifier with capacitive filter working under unbalanced supply conditions using series hybrid active power filter,” IET Power Electronics, vol. 7, no. 6, pp. 1566–1577, Jun. 2014.
  • A. Chowdhury, C. Rajagopalan, and M. A. Mulla, “Hardware implementation of series hybrid active power filter using a novel control strategy based on generalised instantaneous power theory,” IET Power Electronics, vol. 6, no. 3, pp. 592–600, Mar. 2013.
  • D. Shaojun, L. Jianben, T. Kun, and C. Qiaofu, “Modelling and industrial application of series hybrid active power filter,” IET Power Electronics, vol. 6, no. 8, pp. 1707–1714, Sep. 2013.
  • L. Wang and A. Luo, “High-capacity hybrid power filter for harmonic suppression and reactive compensation in the power substation,” in Power Electronics and Motion Control Conference, 2004. IPEMC 2004. The 4th International, 2004, vol. 1, pp. 215–220.
  • V. F. Corasaniti, M. B. Barbieri, P. L. Arnera, and M. I. Valla, “Hybrid Active Filter for Reactive and Harmonics Compensation in a Distribution Network,” IEEE Transactions on Industrial Electronics, vol. 56, no. 3, pp. 670–677, Mar. 2009.
  • A. K. Dubey, S. P. Dubey, and A. S. Tomar, “Performance analysis of PSO based hybrid active filter for harmonic and reactive power compensation under non-ideal mains,” in Advanced Electronic Systems (ICAES), 2013 International Conference on, 2013, pp. 202–206.
  • W. Wei-nong and H. Na, “Study on application of hybrid active power filter into harmonic suppression and reactive power compensation,” in Electricity Distribution (CICED), 2012 China International Conference on, 2012, pp. 1–6.
  • J. E. Hernandez, R. P. Kandula, F. C. Lambert, and D. Divan, “A Practical Directional Third Harmonic Hybrid Active Filter for Medium-Voltage Utility Applications,” IEEE Transactions on Industry Applications, vol. 49, no. 6, pp. 2674–2683, Nov. 2013.
  • A. F. Zobaa, “Optimal multiobjective design of hybrid active power filters considering a distorted environment,” IEEE Transactions on Industrial Electronics, vol. 61, no. 1, pp. 107–114, Jan. 2014.
  • A. Luo, Z. Shuai, M. Li, M. T. Chau, L. Zhou, and T. N. Nguyen, “Generalised design method for improving control quality of hybrid active power filter with injection circuit,” IET Power Electronics, vol. 7, no. 5, pp. 1204–1215, May 2014.
  • L. R. Limongi, L. R. Silva Filho, L. G. B. Genu, F. Bradaschia, and M. C. Cavalcanti, “Transformerless Hybrid Power Filter Based on a Six-Switch Two-Leg Inverter for Improved Harmonic Compensation Performance,” IEEE Transactions on Industrial Electronics, pp. 1–1, 2014.
  • N. Hatti, K. Hasegawa, and H. Akagi, “A 6.6-kV Transformerless Motor Drive Using a Five-Level Diode-Clamped PWM Inverter for Energy Savings of Pumps and Blowers,” IEEE Transactions on Power Electronics, vol. 24, no. 3, pp. 796–803, Mar. 2009.
  • A. Varschavsky, J. Dixon, M. Rotella, and L. Morán, “Cascaded Nine-Level Inverter for Hybrid-Series Active Power Filter, Using Industrial Controller,” IEEE Transactions on Industrial Electronics, vol. 57, no. 8, pp. 2761–2767, Aug. 2010.
  • A. M. Massoud, S. J. Finney, A. J. Cruden, and B. W. Williams, “Three-Phase, Three-Wire, Five-Level Cascaded Shunt Active Filter for Power Conditioning, Using Two Different Space Vector Modulation Techniques,” IEEE Transactions on Power Delivery, vol. 22, no. 4, pp. 2349–2361, Oct. 2007.
  • Bharatiraja, C., Jeevananthan, S., Latha, R., Dash, S.S., 2011. Simplified structure-A mapped space vector pulse width modulation for three level neutral point diode clamped multilevel inverter, in: Sustainable Energy and Intelligent Systems (SEISCON 2011), International Conference on. IET, pp. 266–271.
  • Gabriel, O.H., Maswood, A.I., Venkataraman, A., 2012. Multiple-poles multilevel diode-clamped inverter (M 2 DCI) topology for alternative multilevel converter, in: IPEC, 2012 Conference on Power & Energy. IEEE, pp. 497–502.
  • Chong, B., Zhang, L., Waite, M.J., 2013. Three-phase four-leg flying-capacitor multi-level inverter-based active power filter for unbalanced current operation. IET Power Electronics 6, 153–163.
  • Priyan, S.S., Ramani, K., 2013. Implementation of closed loop system for flying capacitor multilevel inverter with stand-alone Photovoltaic input, in: Power, Energy and Control (ICPEC), 2013 International Conference on. IEEE, pp. 281–286.
  • Ajami, A., Jannati Oskuee, M.R., Mokhberdoran, A., Van den Bossche, A., 2013. Developed cascaded multilevel inverter topology to minimise the number of circuit devices and voltage stresses of switches. IET Power Electronics.
  • Baier, C.R., Espinoza, J.R., Rivera, M., Munoz, J.A., Wu, B., Melin, P.E., Yaramasu, V., 2014. Improving Power Quality in Cascade Multilevel Converters Based on Single-Phase Nonregenerative Power Cells. IEEE Transactions on Industrial Electronics 61, 4498–4509.
  • Bai, Z., Zhang, Z., Zhang, Y., 2007. A generalized three-phase multilevel current source inverter with carrier phase-shifted SPWM, in: Power Electronics Specialists Conference. PESC 2007. IEEE, pp. 2055–2060.
  • Fujii, K., De Doncker, R.W., 2007. Optimization of soft-switched flying capacitor multi-level converters applied to STATCOMs, in: Power Electronics and Applications, 2007 European Conference on. IEEE, pp. 1–10.
  • Batschauer, A.L., Mussa, S.A., Heldwein, M.L., 2012. Three-Phase Hybrid Multilevel Inverter Based on Half-Bridge Modules. IEEE Transactions on Industrial Electronics 59, 668–678.
  • Ryszard, S., Pawel, S., Natalia, S., 2013. Four Level Diode-Clamped Back-To-Back Converter with active DC link voltage control, in: Compatibility and Power Electronics (CPE), 2013 8th International Conference on. IEEE, pp. 182–187.
  • Minshull, S.R., Bingham, C.M., Stone, D.A., Foster, M.P., 2008. A new switching scheme for reduced switching frequency and balanced capacitor voltages for back-to-back connected, diode-clamped multilevel converters, in: Power Electronics, Machines and Drives, 2008. 4th IET Conference on. IET, pp. 636–639.
  • Kim J.-H., Sul S.-K., Enjeti P. N., 2008. A carrier-based PWM method with optimal switching sequence for a multilevel four-leg voltage source inverter, IEEE Trans. Ind. Appl., 44, 4, 1239–1248.
  • Loh P. C., Blaabjerg F., Gao F., Baby A., Tan D. A. C., 2008. Pulsewidth modulation of neutral-point-clamped indirect matrix converter, IEEE Trans. Ind. Appl., 44, 6, 1805–1814,
  • Leon J. I., Vazquez S., Portillo R., Franquelo L. G., Carrasco J. M., Wheeler P. W., Watson A. J., 2009. Three-dimensional feedforward space vector modulation applied to multilevel diode-clamped converters, IEEE Trans. Ind. Electron., 56, 1, 101–109.
  • Singh, B., Mittal, N., VERMA, D., Singh, D.D., Singh, S.P., Dixit, R., Singh, M., Baranwal, A., 2012. Multi-Level Inverter: A Lıterature Survey On Topologies And Control Strategies. International Journal of Reviews in Computing 10.
  • A. Sapin, P. K. Steimer, and J.-J. Simond, 2007. Modeling, simulation, and test of a three-level voltage-source inverter with output LC filter and direct torque control, IEEE Trans. Ind. Appl., 43, 2, 469–475.
  • Pan Z., Peng F. Z., Corzine K. A., Stefanovic V. R., Leuthen J. M., Gataric S., 2005. Voltage balancing control of diode-clamped multilevel rectifier/inverter systems, IEEE Trans. Ind. Appl., 41, 6, 1698–1706.
  • Holtz J., 1992. Pulsewidth modulation—A survey, IEEE Trans. Ind. Electron., 39, 5, 410–420.
  • Hua C.-C., Wu C.-W., Chuang C.-W., 2009. A digital predictive current control with improved sampled inductor current for cascaded inverters, IEEE Trans. Ind. Electron.,56, 5, 1718–1726.
There are 40 citations in total.

Details

Journal Section Research Article
Authors

Tugce Demirdelen

Mustafa Inci This is me

Mehmet Tumay

Publication Date March 29, 2016
Published in Issue Year 2016

Cite

APA Demirdelen, T., Inci, M., & Tumay, M. (2016). Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link. International Journal of Applied Mathematics Electronics and Computers, 4(1), 24-30. https://doi.org/10.18100/ijamec.83268
AMA Demirdelen T, Inci M, Tumay M. Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link. International Journal of Applied Mathematics Electronics and Computers. March 2016;4(1):24-30. doi:10.18100/ijamec.83268
Chicago Demirdelen, Tugce, Mustafa Inci, and Mehmet Tumay. “Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies Based Shunt Hybrid Active Power Filter for Harmonics Compensation With Equal DC Link”. International Journal of Applied Mathematics Electronics and Computers 4, no. 1 (March 2016): 24-30. https://doi.org/10.18100/ijamec.83268.
EndNote Demirdelen T, Inci M, Tumay M (March 1, 2016) Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link. International Journal of Applied Mathematics Electronics and Computers 4 1 24–30.
IEEE T. Demirdelen, M. Inci, and M. Tumay, “Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link”, International Journal of Applied Mathematics Electronics and Computers, vol. 4, no. 1, pp. 24–30, 2016, doi: 10.18100/ijamec.83268.
ISNAD Demirdelen, Tugce et al. “Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies Based Shunt Hybrid Active Power Filter for Harmonics Compensation With Equal DC Link”. International Journal of Applied Mathematics Electronics and Computers 4/1 (March 2016), 24-30. https://doi.org/10.18100/ijamec.83268.
JAMA Demirdelen T, Inci M, Tumay M. Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link. International Journal of Applied Mathematics Electronics and Computers. 2016;4:24–30.
MLA Demirdelen, Tugce et al. “Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies Based Shunt Hybrid Active Power Filter for Harmonics Compensation With Equal DC Link”. International Journal of Applied Mathematics Electronics and Computers, vol. 4, no. 1, 2016, pp. 24-30, doi:10.18100/ijamec.83268.
Vancouver Demirdelen T, Inci M, Tumay M. Comparison of Three, Five and Seven Levels Diode Clamped Multilevel Inverter Topologies based Shunt Hybrid Active Power Filter for Harmonics Compensation with Equal DC Link. International Journal of Applied Mathematics Electronics and Computers. 2016;4(1):24-30.

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