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EPE Journal
European Power Electronics and Drives
Volume 15, 2005 - Issue 1
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Original Articles

The Use of Power Sums to Solve the Harmonic Elimination Equations for Multilevel Converters

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Pages 19-27 | Published online: 22 Sep 2015

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Chenxu Wang, Qi Zhang, Wensheng Yu & Kehu Yang. (2024) A Comprehensive Review of Solving Selective Harmonic Elimination Problem With Algebraic Algorithms. IEEE Transactions on Power Electronics 39:1, pages 850-868.
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Suna Pan, Kehu Yang, Mingzhe Wu, Xiongfeng Li, Jiawen Wang, Yun Wei Li & Wensheng Yu. (2023) Switching Frequency Minimized Harmonic Mitigation: A Multiobjective Optimized Modulation Strategy for High- Power Converters. IEEE Transactions on Power Electronics 38:9, pages 11080-11090.
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Shantanu Chatterjee & Abhijit Das. (2022) A review on technological aspects of different PWM techniques and its comparison based on different performance parameters. International Journal of Circuit Theory and Applications 51:5, pages 2446-2498.
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Ayush Kumar, Pratik Kalkal & A. V. Ravi Teja. (2022) A Graphical Approach in Selective Harmonic Elimination for Simultaneous Reduction of Multiple Harmonics and Overall THD. A Graphical Approach in Selective Harmonic Elimination for Simultaneous Reduction of Multiple Harmonics and Overall THD.
Chenxu Wang, Qi Zhang, Dunzhi Chen, Zhaoyuan Li, Wensheng Yu & Kehu Yang. (2022) Application of Newton Identities in Solving Selective Harmonic Elimination Problem With Algebraic Algorithms. IEEE Journal of Emerging and Selected Topics in Power Electronics 10:5, pages 5870-5881.
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Muhammad Khizer, Umar T. Shami, Muhammad Fahad Zia, Yassine Amirat & Mohamed Benbouzid. (2022) Selective Harmonic Elimination in a Cascaded Multilevel Inverter of Distributed Power Generators Using Water Cycle Algorithm. Machines 10:5, pages 399.
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Tao Jing, Alexander Maklakov, Andrey Radionov, Vadim Gasiyarov & Yuehua Liang. (2022) Formulations, Solving Algorithms, Existing Problems and Future Challenges of Pre-Programmed PWM Techniques for High-Power AFE Converters: A Comprehensive Review. Energies 15:5, pages 1696.
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Md. Ekrama Arshad & Abrar Ahmad. 2020. Innovations in Electronics and Communication Engineering. Innovations in Electronics and Communication Engineering 757 771 .
Margi Shah & Kartik S. Pandya. 2020. Advances in Electric Power and Energy Infrastructure. Advances in Electric Power and Energy Infrastructure 115 127 .
Sourabh Kundu, Supratik Bhowmick & Subrata Banerjee. (2019) Improvement of power utilisation capability for a three‐phase seven‐level CHB inverter using an improved selective harmonic elimination–PWM scheme by sharing a desired proportion of power among the H‐bridge cells. IET Power Electronics 12:12, pages 3242-3253.
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Angel Perez-Basante, Salvador Ceballos, Georgios Konstantinou, Josep Pou, Inigo Kortabarria & Inigo Martinez de Alegria. (2019) A Universal Formulation for Multilevel Selective-Harmonic-Eliminated PWM With Half-Wave Symmetry. IEEE Transactions on Power Electronics 34:1, pages 943-957.
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Abhishek Azad & Jagdish Kumar. (2018) THD Minimisation in 15- Level Hybrid Multilevel Inverter using Harmonic Minimization Technique. THD Minimisation in 15- Level Hybrid Multilevel Inverter using Harmonic Minimization Technique.
Mudasir Ahmed Memon, Saad Mekhilef, Marizan Mubin & Muhammad Aamir. (2018) Selective harmonic elimination in inverters using bio-inspired intelligent algorithms for renewable energy conversion applications: A review. Renewable and Sustainable Energy Reviews 82, pages 2235-2253.
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Angel Perez-Basante, Salvador Ceballos, Georgios Konstantinou, Josep Pou, Jon Andreu & Inigo Martinez de Alegria. (2018) (2N+1) Selective Harmonic Elimination-PWM for Modular Multilevel Converters: A Generalized Formulation and A Circulating Current Control Method. IEEE Transactions on Power Electronics 33:1, pages 802-818.
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Neha Sahu & Narendra D. Londhe. (2017) Optimization based selective harmonic elimination in multi-level inverters. Optimization based selective harmonic elimination in multi-level inverters.
Piyush L. Kamani & Mahmadasraf A. Mulla. (2017) Simpson's rule based SHE pulse-amplitude modulation for cascaded multilevel inverters. Simpson's rule based SHE pulse-amplitude modulation for cascaded multilevel inverters.
Gautam Ghosh, Abhilasha Rathi, Angikar Roy Chowdhury, Pritha Dutta, Sweta Preeti, Divita Shri, Soumya Krishna, Aditi Das, Pratyusha Saha & Nikhil Singh. (2017) Comparison of different techniques for selective harmonic eliminationpwmin inverters — A review. Comparison of different techniques for selective harmonic eliminationpwmin inverters — A review.
A. Kumar, D. Chatterjee & A. Dasgupta. (2017) Harmonic mitigation of cascaded multilevel inverter with non equal DC sources using Hybrid Newton Raphson Method. Harmonic mitigation of cascaded multilevel inverter with non equal DC sources using Hybrid Newton Raphson Method.
Kehu Yang, Qi Zhang, Jianjun Zhang, Ruyi Yuan, Qiang Guan, Wensheng Yu & Jin Wang. (2017) Unified Selective Harmonic Elimination for Multilevel Converters. IEEE Transactions on Power Electronics 32:2, pages 1579-1590.
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A. Kumar, A. Dasgupta & D. Chatterjee. (2016) Harmonic mitigation of cascaded multilevel inverter using particle swarm optimization technique. Harmonic mitigation of cascaded multilevel inverter using particle swarm optimization technique.
A. Kumar, A. Dasgupta & D. Chatterjee. (2016) Comparative analysis of different optimization technique: Harmonic minimization in multilevel inverter. Comparative analysis of different optimization technique: Harmonic minimization in multilevel inverter.
Kehu Yang, Xin Tang, Qi Zhang & Wensheng Yu. (2016) Unified selective harmonic elimination for fundamental frequency modulated multilevel converter with unequal DC levels. Unified selective harmonic elimination for fundamental frequency modulated multilevel converter with unequal DC levels.
Angel Perez-Basante, Salvador Ceballos, Georgios Konstantinou, Josep Pou, Jon Andreu & Inigo Martinez de Alegria. (2016) A universal formulation for selective harmonic elimination PWM with half-wave symmetry for multilevel voltage source converters. A universal formulation for selective harmonic elimination PWM with half-wave symmetry for multilevel voltage source converters.
Jamal Abdul-Kareem Mohammed. (2016) Economical design of H-bridge multilevel inverter drive controlled by modified fast algorithm. Microelectronics Reliability 65, pages 89-97.
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Kehu Yang, Qi Zhang, Ruyi Yuan, Wensheng Yu, Jiaxin Yuan & Jin Wang. (2016) Selective Harmonic Elimination With Groebner Bases and Symmetric Polynomials. IEEE Transactions on Power Electronics 31:4, pages 2742-2752.
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Albert Alexander S. (2016) Development of solar photovoltaic inverter with reduced harmonic distortions suitable for Indian sub-continent. Renewable and Sustainable Energy Reviews 56, pages 694-704.
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Kehu Yang, Liangyu Chen, Jianjun Zhang, Jun Hao & Wensheng Yu. (2016) Parallel resultant elimination algorithm to solve the selective harmonic elimination problem. IET Power Electronics 9:1, pages 71-80.
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Kehu Yang, Qi Zhang, Ruyi Yuan, Wensheng Yu & Jin Wang. (2015) Harmonic elimination for multilevel converter with Groebner bases and symmetric polynomials. Harmonic elimination for multilevel converter with Groebner bases and symmetric polynomials.
Yuan Zhi-bao, Zhang Jian-jun, Hao Jun & Lu Dan-ying. (2015) Phase-shift selective harmonic elimination pulse width modulation for multilevel converter. Phase-shift selective harmonic elimination pulse width modulation for multilevel converter.
Yang Ke-hu, Yuan Zhi-bao, Wei Wei, Yuan Ru-yi & Yu Wen-sheng. (2015) Solve the selective harmonic elimination problem with groebner bases theory. Solve the selective harmonic elimination problem with groebner bases theory.
S. Albert Alexander & Manigandan Thathan. (2014) Reduction of Voltage Harmonics in Solar Photovoltaic fed Inverter of Single Phase Stand Alone Power System. Journal of Solar Energy Engineering 136:4.
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Surya Kalavathi M, K. Mahendran & B. Indhumathy. (2012) Harmonic Optimization of Multilevel Inverters Using Hybrid GA/PSO. i-manager's Journal on Electronics Engineering 2:3, pages 16-21.
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T. Jeevabharathi & V. Padmathilagam. (2012) Harmonic elimination of Cascaded Multilevel Inverters Using Particle Swarm Optimization. Harmonic elimination of Cascaded Multilevel Inverters Using Particle Swarm Optimization.
Arif Al-Judi, Hussain Bierk & Ed Nowicki. (2011) Selective harmonic power optimization in multilevel inverter output. Selective harmonic power optimization in multilevel inverter output.
H. Taghizadeh & M. Tarafdar Hagh. (2010) Harmonic Elimination of Cascade Multilevel Inverters with Nonequal DC Sources Using Particle Swarm Optimization. IEEE Transactions on Industrial Electronics 57:11, pages 3678-3684.
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Petr Kujan, Martin Hromčík & Michael Šebek. (2010) Complete Fast Analytical Solution of the Optimal Odd Single-Phase Multilevel Problem. IEEE Transactions on Industrial Electronics 57:7, pages 2382-2397.
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