Application of Double Fourier Series for Analyzing Harmonics of a Modular Multilevel Converter Ngoc-Thinh Quach, Sang Heon Chae, Min-Hyeok Kang, Dong Wan Kim, Seung Hun Ko and Eel-Hwan Kim   2017/04/25

Abstrac

This paper presents an application of double Fourier series (DFS) algorithm for analyzing harmonics of a modular multilevel converter (MMC). By considering the effect of arm inductor, the application of DFS for calculating harmonics in the MMC is made. The DFS is then verified by comparing with simulation results used the fast Fourier transform (FFT) algorithm. Subsequently, the DFS will be used to analyze the effect of number of output voltage levels to the distribution of harmonics and total harmonic distortion (THD) in the MMC. The analytical results are performed in the Matlab programming in order to verify the theoretical analysis.

Authors and affiliations

Ngoc-Thinh Quach(1), Sang Heon Chae(1), Min-Hyeok Kang(1), Dong Wan Kim(2), Seung Hun Ko(2) and Eel-Hwan Kim(1)
1. Department of Electrical Engineering. Jeju National University. Republic of Korea
2. Research & Development Center, Jeju Energy Corporation. Republic of Korea

Key word

Double Fourier series, Fast Fourier transform, Harmonic analysis, Modular multilevel converter, Total harmonic distortion

References

[1] M. Saeedifard and R. Iravani, “Dynamic Performance of a Modular Multilevel Back-to-Back HVDC System,” IEEE Transactions on Power Delivery, vol. 25, no. 4, pp. 2903-2912, Oct. 2010.
[2] Ngoc-Thinh Quach, Ji-Han Ko, Dong-Wan Kim, and Eel-Hwan Kim, “An Application of Proportional-Resonant Controller in MMC-HVDC System under Unbalanced Voltage Conditions,” Journal of Electrical Engineering & Technology, vol. 9, no. 5, pp. 1746-1752, Sept. 2014.
[3] W. R. Bennett, “New Results in the Calculation of Modulation Products,” The Bell System Technical Journal, vol. 12, pp. 228-243, Apr. 1933.
[4] D. Grahame Holmes and Thomas A. Lipo, “Pulse Width Modulation for Power Converters - Principles and Practice” Wiley-IEEE Press, 2003.
[5] Gary. W. Chang, Shin-Kuan Chen, Huai-Jhe Su, and Ping-Kuei Wang, “Accurate Assessment of Harmonic and Interharmonic Currents Generated by VSI-Fed Drives under Unbalanced Supply Voltages,” IEEE Transactions on Power Delivery, vol. 26, no. 2, pp. 1083-1091, Apr. 2011.
[6] Zhonghui Bing and Jian Sun, “Frequency-Domain Modeling of Multipulse Converters by Double-Fourier Series Method,” IEEE Transactions on Power Electronics, vol. 26, no. 12, pp. 3804-3809, Dec. 2011.