Double Tangent Sampling Method For Sinusoidal Pulse Width .

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Computational and Applied Mathematics Journal 2018; 4(1): 8-14Natural methodSecant methodDouble 24436(b) Double tangent sampling method37-0.37994-0.38061-0.3799Figure 5. Relative value of harmonic coefficients.39-0.19797-0.19742-0.19813The harmonic coefficients generated by the naturalsampling method, secant sampling method and double tangentsampling method is expressed as bNn , bSn , bDn , respectively.Taking n 1,3,5,7.39 , the relative value of harmoniccoefficient σ is defined asb (b ) bNnσ Sn Dn 100%bNn(19)Figure 5 depicts the relative value of harmonic coefficientsof SPWM wave achieved by the secant sampling method anddouble tangent sampling method. To low order harmonics(order less than 20), the relative value of harmoniccoefficients of the double tangent method is lower than thoseof the secant sampling method obviously. To high orderharmonics, the relative value of harmonic coefficients of thedouble tangent method is also lower for most of harmonicorders. The harmonic characteristics of SPWM waveachieved by the double tangent sampling method is prior tothose of SPWM wave achieved by secant sampling methodwithin 40 orders. While the demand of output voltage ishigher, it is a good choice that the SPWM wave is generatedby the double tangent method.(a) Secant sampling method135. ConclusionsCompared with the tangent sampling method and the secantsampling method, the double tangent sampling method cangenerate the SPWM wave which error is smallest.Harmonic analysis shows that the fundamental componentof SPWM wave generated by double tangent sampling methodis high. The harmonic components of SPWM wave obtainedby double tangent sampling method are lower than those of thesecant sampling method and the tangent sampling method.The double tangent method can be implemented in digitalcontrol systems, and improve the accuracy of sinusoidal pulsewidth modulation. This method can be applied to industrialcontrol and engineering application.AcknowledgementsThis work was supported by the National Natural ScienceFoundation of China under project [grant number 51375077];the Natural Science Foundation of Liaoning Province underproject [grant number 2015020117].References[1]H. F. Xiao, K. Lan and L. Zhang, A quasi-unipolar SPWMfull-bridge transformerless PV grid-connected inverter withconstant common-mode voltage, IEEE Transactions on PowerElectronics, 30 (6): 3122-3132, 2015.[2]M. Lakka, E. Koutroulis and A. Dollas, Development of anFPGA-based SPWM generator for high switching frequencyDC/AC inverters, IEEE Transactions on Power Electronics, 29(1): 356-365, 2014.[3]I. Colak and E. Kabalci, Developing a novel sinusoidal pulsewidth modulation (SPWM) technique to eliminate side bandharmonics, International Journal of Electrical Power & EnergySystems, 44 (1): 861-871, 2013.[4]M. M. Renge and H. M. Suryawanshi, Multilevel inverter toreduce common mode voltage in AC motor drives using SPWMtechnique, Journal of Power Electronics, 11 (1): 21-27, 2011.

14Ligeng Shao and Yanming Wu:Double Tangent Sampling Method for Sinusoidal Pulse Width Modulation[5]K. Jain and P. Chaturvedi, Matlab-based simulation & analysisof three-level SPWM inverter, International Journal of SoftComputing and Engineering, 2 (1): 56-59, 2012.[10] R. Nagarajan and M. Saravanan, Performance analysis of anovel reduced switch cascaded multilevel inverter, Journal ofPower Electronics, 14 (1): 48-60, 2014.[6]T. H. Li, S. H. Chung and K. M. Chan, An active modulationtechnique for single-phase grid-connected CSI, IEEETransactions on Power Electronics, 22 (4): 1373-1382, 2007.[11] C. F. Zheng, B. Zhang and D. Y. Qiu, Digital natural samplingSPWM based on inverse operator method, in Proc. IEEEAPESC, 792-797, 2007.[7]J. Huang and H. Shi, Reducing the common-mode voltagethrough carrier peak position modulation in an SPWMthree-phase inverter, IEEE Transactions on Power Electronics,29 (9): 4490-4495, 2014.[12] A. R. Beig, G. Narayanan and V. T. Ranganathan, ModifiedSVPWM algorithm for three level VSI with synchronized andsymmetrical waveforms, IEEE Transactions on IndustrialElectronics, 54 (1): 486-494, 2007.[8]I. Colak and E. Kabalci, Developing a novel sinusoidal pulsewidth modulation (SPWM) technique to eliminate side bandharmonics, Electrical Power and Energy Systems, 44 (1): 861–871, 2013.[13] B. Ismail, S. Taib, A. R. M. Saad, M. Isa and C. M. Hadzer,Development of a single phase SPWM microcontroller-basedinverter, in Proc. IEEE PEC, 437-440, 2006.[9]Z. X. Zhang, H. Ma and X. N. He, Study on novel SPWMsampling methods, Journal of Zhejiang University:Engineering Science, 39 (4): 588-594, 2005.[14] X. D. Liu and T. Xu, Precision analysis of SPWM switchingtime point, Electric Power Automation Equipment, 30 (12):55-59, 2010.

Sinusoidal pulse width modulation (SPWM) is widely used in power electronics technology recently [1]-[4]. SPWM waves are characterized by constant amplitude pulses with different duty cycle for each period. A sequence of voltage pulses can be generated by switching of the power electronic devices. The modulation

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