Harmonic Analysis of Switching Power Supply based on Conventional Triangulation Method

Abdulkadir Iyyaka Audu, Jibril Danladi Jiya


This paper presents the harmonic characterization of trapezoidal power supply (TPS), which is a high frequency switching power supply system, based on conventional triangulation method. The advent of multilevel inverter topology has brought forth various pulse-width modulation (PWM) schemes as a means to control the switching of the active components in each of the multiple voltage levels in the inverter. In multimedia distribution, hybrid fiber/coax (HFC) network dramatically connects optical fiber to the neighborhood with coax cable to the residence. Compared with all-fiber or all-coaxial networks, this network when powered with trapezoidal shaped voltage waveform allows for segmentation of services and high reliability, distribution efficiency, and low cost. The design and control strategy of TPS in order to generate trapezoidal shaped load voltage waveforms has become very attractive. A theoretical analysis which emphasizes a trapezoidal fundamental component and de-emphasizes higher-order harmonics generated by TPS designed based conventional triangulation method is to be conducted. The issue of lower order harmonics and sub-harmonics, which are generated whenever the constant of proportionality is not respected, is seriously emphasized.


pulse-width modulation; harmonics; modulation index; switching frequency; trapezoidal voltage waveform

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M. Qiu, P. K. Jain and H. Jin, “Modeling and performance of a power distribution system for hybrid fiber/coax networks,” IEEE Transactions on Power Electronics, Vol. 14, No. 2, pp. 273-281, 1999.

P. K. Jain, J. R. Espinoza and H. Jin, “Performance of a single-stage ups system for single-phase trapezoidal-shaped ac-voltage supplies,” IEEE Transactions on Power Electronics, Vol. 13, No. 5, pp. 912-92, 1998.

J. Platts and J. St. Aubyn, Uninterruptible power supplies. Peter Peregrinus Ltd, London, 1992.

Y. Tzou, S. Jung and H. Yeh, “Adaptive repetitive control of pwm inverter for very low thd ac-voltage regulation with unknown loads,” IEEE Transactions on Power Electronics, Vol. 14, No. 5, pp. 973-981, 1999.

A. M. Trzynadlowski and S. Legowski, “Minimum-loss vector pwm strategy for three-phase inverters,” IEEE Transactions on Power Electronics, Vol. 9, No. 1, pp. 26-34, 1994.

A. M. Have, R. J. Kerkman and T. A. Lipo, “Carrier-based pwm overmodulation strategies: analysis, comparison, and design,” IEEE Transactions on Power Electronics, Vol. 13, No. 4, pp. 674-685, 1998.

A. M. Have, R. J. Kerkman and T. A. Lipo, “Simple analytical and graphical methods for carrier-based pwm-vsi drives,” IEEE Transactions on Power Electronics, Vol. 14, No. 1, pp. 49-61, 1999.

Z. Lining, Evaluation and dsp based implementation of pwm approaches for single-phase dc-ac converters, M. Eng. Thesis on Power Electronics, (Unpublished), Famu-Fsu College of Engineering, The Florida State University, USA, 2005.

D. Lee and G. Lee, “A novel overmodulation technique for space-vector pwm inverter,” IEEE Transaction. on Power Electronics, Vol. 13, No. 6, pp 1145-1151, 1998.

I. A. Khan and R. W. Erickson, “Systhesiss and analysis of harmonic-free three-phase inverters,” IEEE Trans. on Power Electronics, Vol. 9, No. 6, pp. 567-579, 1994.

DOI: http://dx.doi.org/10.22385/jctecs.v11i0.146