Comparison between selective harmonic elimination and nearest level control for transistor clamped H-bridge inverter
Authors: Saleh Wail Ali Ali , Said Nurul Ain Mohd , Halim Wahidah Abd , Jidin Auzani 
Published: April 2022

Total harmonic distortion <span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">(THD) is</span><span style="font-size: 10.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US"> a key index used to measure the quality of output waveforms in multilevel inverters. In this paper </span><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">the THD is investigated and compared between two modulation methods; selective harmonic elimination and nearest level control, for 13-level transistor clamped H-bridge (TCHB) inverter. The selected TCHB topology employs a reduced number of DC sources and switches compared with other conventional multilevel inverters, which helps to reduce the size and cost of the inverter. The performance of both modulation methods has been validated through simulations using MATLAB/Simulink. The results show that for selective harmonic elimination, the 13-level output exists for a narrow range of modulation index,</span> <em>M</em> (0.687≤M≤0.694),<span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">while for nearest level control method, the 13-level output exists for a wider range of</span> <em>M</em> (M≥0.917), <span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">which means the 13-level output exists for different ranges of </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:9.0pt;
font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black;mso-ansi-language:EN-US;
mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>M</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><!--[endif]--><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US"> for both methods. The THD obtained from both methods fulfills the IEEE Std 519-2014 standard of harmonics. Nearest level control method is conceptually simple and produces better THD results compared with selective harmonic elimination method.</span><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">distortion (THD) is</span><span style="font-size: 10.0pt; font-family: 'Times New Roman',serif; mso-fareast-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;" lang="EN-US"> a key index used to measure the quality of output waveforms in multilevel inverters. In this paper </span><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">the THD is investigated and compared between two modulation methods; selective harmonic elimination and nearest level control, for 13-level transistor clamped H-bridge (TCHB) inverter. The selected TCHB topology employs a reduced number of DC sources and switches compared with other conventional multilevel inverters, which helps to reduce the size and cost of the inverter. The performance of both modulation methods has been validated through simulations using MATLAB/Simulink. The results show that for selective harmonic elimination, the 13-level output exists for a narrow range of modulation index, </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:9.0pt;
font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black;mso-ansi-language:EN-US;
mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>M</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><!--[endif]--><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US"> </span><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="MS">(</span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=MS style='font-size:9.0pt;
font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black;mso-ansi-language:MS;
mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>0.687≤</m:r><m:r>M</m:r><m:r>≤0.694</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><!--[endif]--><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="MS">)</span><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">, while for nearest level control method, the 13-level output exists for a wider range of </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:9.0pt;
font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black;mso-ansi-language:EN-US;
mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>M</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><!--[endif]--><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US"> (</span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:9.0pt;
font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black;mso-ansi-language:EN-US;
mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>M</m:r><m:r>≥0.917</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><!--[endif]--><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US">), which means the 13-level output exists for different ranges of </span><!--[if gte msEquation 12]><m:oMath><i
style='mso-bidi-font-style:normal'><span lang=EN-US style='font-size:9.0pt;
font-family:"Cambria Math",serif;mso-fareast-font-family:"Times New Roman";
mso-bidi-font-family:"Times New Roman";color:black;mso-ansi-language:EN-US;
mso-fareast-language:EN-US;mso-bidi-language:AR-SA'><m:r>M</m:r></span></i></m:oMath><![endif]--><!--[if !msEquation]--><!--[endif]--><span style="font-size: 9pt; font-family: 'Times New Roman', serif;" lang="EN-US"> for both methods. The THD obtained from both methods fulfills the IEEE Std 519-2014 standard of harmonics. Nearest level control method is conceptually simple and produces better THD results compared with selective harmonic elimination method</span>