Performance Study of a Modified Sine Wave Inverter

Abstract

This paper presents the performance of a modified sine wave voltage source inverter with duty cycle. Evaluation of quality factors like the Total Harmonic Distortion THD of the output voltage for various values of switching-on angle α indicates that the minimum harmonic distortion occurs at α=23.218 0 , where the THD is 28.96%, about 60% of that of the square wave. The 3 rd harmonic is about 12.61% of the fundamental, and about third of the square wave. The current paper, illustrates the inverter waveforms and how different types of loads behave when operating from them. Therefore, the THD of the output current depends on the load types. Results of typical load types are presented. No heavy filters or complex timing circuits are necessary; therefore, the resulting inverter is smaller, lighter weight, and simpler, implying greater reliability and lower cost. These advantages invite a closer look at inverter-motor systems. Variations in induction motor performance may occur when the motor is driven from a modified sine wave inverter rather than a sine wave source. ‫ﺩﺭﺍﺴﺔ‬ ‫ﺃﺩﺍﺀ‬  ‫ﺍﻟﻤﻌﺩ‬ ‫ﺍﻟﺠﻴﺒﻴﺔ‬ ‫ﺍﻟﻤﻭﺠﺔ‬ ‫ﺫﻭ‬ ‫ﺍﻟﻔﻭﻟﺘﻴﺔ‬ ‫ﻋﺎﻜﺱ‬ ‫ﻟﺔ‬ ‫ﺍﻟﺨﻼﺼﺔ‬ ‫ﻴﺩﺭﺱ‬ ‫ﺍﻟﻤﻭﺠ‬ ‫ﺫﻭ‬ ‫ﺍﻟﻔﻭﻟﺘﻴﺔ‬ ‫ﻋﺎﻜﺱ‬ ‫ﺃﺩﺍﺀ‬ ‫ﺍﻟﺤﺎﻟﻲ‬ ‫ﺍﻟﺒﺤﺙ‬  ‫ﺍﻟﻤﻌﺩ‬ ‫ﺍﻟﺠﻴﺒﻴﺔ‬ ‫ﺔ‬ ‫ﻟﺔ‬ ‫ﻤﻊ‬ ‫ﺍﻟﻨﺒﻀﺔ‬ ‫ﻋﺭﺽ‬. ‫ﺤﻴﺙ‬  ‫ﺘﺒﻴ‬ ‫ﻥ‬ ‫ﺃﻥ‬ ‫ﻟﺯﺍﻭﻴﺔ‬ ‫ﻤﺨﺘﻠﻔﺔ‬ ‫ﻟﻘﻴﻡ‬ ‫ﺍﻟﺨﺎﺭﺠﺔ‬ ‫ﻟﻠﻤﻭﺠﺔ‬ ‫ﺍﻟﻜﻠﻲ‬ ‫ﺍﻟﺘﺸﻭﻴﻪ‬ ‫ﻜﻤﻌﺎﻤل‬ ‫ﺍﻷﺩﺍﺀ‬ ‫ﻤﻌﺎﻤﻼﺕ‬ ‫ﺘﻘﺩﻴﺭ‬ ‫ﺍﻟﺘﺸﻐﻴل‬ α ‫ﻴ‬ ‫ﺸﻴﺭ‬ ‫ﺇﻟﻰ‬ ‫ﺘﺸﻭﻴﻪ‬ ‫ﺃﻗل‬ ‫ﺃﻥ‬ ‫ﻟﻠﻤﻭﺠﺔ‬ ‫ﻋﻨﺩ‬ ‫ﻴﺤﺩﺙ‬ ‫ﻟـ‬ ‫ﻤﺴﺎﻭﻴﺔ‬ ‫ﺯﺍﻭﻴﺔ‬) 23.218 0 (‫ﻭ‬ ‫ﺒ‬ ‫ﻘﻴﻤﺔ‬) 28.96% (, ‫ﺃ‬ ‫ﻱ‬ ‫ﺒﻤﻘﺩﺍﺭ‬) 60% (‫ﻤﻥ‬ ‫ﺍ‬ ‫ﺘﺸﻭﻴﻪ‬ ‫ﺍﻟﻤﺭﺒﻌﺔ‬ ‫ﻟﻤﻭﺠﺔ‬. ‫ﻓ‬ ‫ًﻋﻥ‬ ‫ﻀﻼ‬ ‫ﺫﻟﻙ‬ , ‫ﻓﺄﻥ‬ ‫ﻤﻘﺩﺍﺭ‬ ‫ﺍﻟﺘﻭﺍﻓﻘﻴﺔ‬ ‫ﺍﻟﺜﺎﻟﺜﺔ‬ ‫ﻴ‬ ‫ﺤﻭﺍﻟﻲ‬ ‫ﻜﻭﻥ‬) 12.61% (‫ﺍﻷﺴﺎﺴﻴﺔ‬ ‫ﺍﻟﺘﻭﺍﻓﻘﻴﺔ‬ ‫ﻤﻥ‬ ‫ﻭ‬ ‫ﺒﻤﻘﺩﺍ‬ ‫ﺭ‬ ‫ﺍﻟﺜﻠﺙ‬ ‫ﺘﻘﺭﻴﺒﺎ‬ ً ‫ًﺒﺎﻟﻤﻭﺠﺔ‬ ‫ﻤﻘﺎﺭﻨﺔ‬ ‫ﺍﻟﻤﺭﺒﻌﺔ‬. ‫ﺍﻟﺘﻁﺭﻕ‬ ‫ﺘﻡ‬ ‫ﺇﻟﻰ‬ ‫ﺍﻷ‬ ‫ﻨﻭﺍﻉ‬ ‫ﻟ‬ ‫ﺍﻷﺴﺎﺴﻴﺔ‬ ‫ﺍﻟﻌﺎﻜﺱ‬ ‫ﻤﻭﺠﺎﺕ‬ ‫ﻭ‬ ‫ﺘﻐﺫﻯ‬ ‫ﺍﻟﺘﻲ‬ ‫ﺍﻟﻤﺨﺘﻠﻔﺔ‬ ‫ﺍﻷﺤﻤﺎل‬ ‫ﺴﻠﻭﻙ‬ ‫ﻤﻥ‬ ‫ﻫﺫﺍ‬ ‫ﺍﻟﻌﺎﻜﺱ‬ , ‫ﻭﺒﺫﻟ‬ ‫ﻙ‬ ‫ﻓﺎ‬ ‫ﻥ‬ ‫ﺍﻟﻜﻠﻲ‬ ‫ﺍﻟﺘﻭﺍﻓﻘﻲ‬ ‫ﺍﻟﺘﺸﻭﻴﻪ‬ ‫ﺍﻷﺤﻤﺎل‬ ‫ﺘﻠﻙ‬ ‫ﻁﺒﻴﻌﺔ‬ ‫ﻋﻠﻰ‬ ‫ﻴﻌﺘﻤﺩ‬ ‫ﻟﻠﺘﻴﺎﺭ‬ , ‫ﺤﻴﺙ‬  ‫ﺘﻡ‬ ‫ﻨﺘﺎﺌﺞ‬ ‫ﻋﻠﻰ‬ ‫ﺍﻟﺤﺼﻭل‬ ‫ﻤﺨﺘﻠﻔﺔ‬ ‫ﻟ‬ ‫ﻟﻸ‬ ‫ﻤﺨﺘﻠﻔﺔ‬ ‫ﻘﻴﻡ‬ ‫ﺤﻤﺎل‬. ‫ﺍﻟﺤﺠﻡ‬ ‫ﺼﻐﻴﺭ‬ ‫ﺒﺄﻨﻪ‬ ‫ﺍﻟﺤﺎﻟﻲ‬ ‫ﺍﻟﻌﺎﻜﺱ‬ ‫ﻴﻤﺘﺎﺯ‬ ‫ﻭ‬ ‫ﺍﻟﺘﺭﻜﻴﺏ‬ ‫ﻭﺒﺴﻴﻁ‬ ‫ﺍﻟﻭﺯﻥ‬ ‫ﺨﻔﻴﻑ‬ , ‫ﺤﺎﺠﺘﻪ‬ ‫ﻴﻨﻔﻲ‬ ‫ﻤﻤﺎ‬ ‫ﺩﻭﺍﺌﺭ‬ ‫ﺃﻭ‬ ‫ﻜﺒﻴﺭﺓ‬ ‫ﻟﻤﺭﺸﺤﺎﺕ‬ ‫ﻤﻌﻘﺩﺓ‬ ‫ﻟﻠ‬ ‫ﺘﻭﻗﻴﺕ‬ ‫ﺍﻟ‬ ‫ﺯﻤﻨﻲ‬ , ‫ﹰ‬ ‫ﻤﺤﻘﻘﺔ‬ ‫ﻤﻭﺜﻭﻗﻴﺔ‬ ‫ﺒﺫﻟﻙ‬ ‫ﺃﻋﻠﻰ‬ ‫ﻭﻜﻠﻔﺔ‬ ‫ﺃ‬ ‫ﻗل‬. ‫ﺇﻥ‬ ‫ﻫﺫﻩ‬ ‫ﻋﺎﻜﺱ‬ ‫ﻤﻥ‬ ‫ﺍﻟﻤﻐﺫﺍﺓ‬ ‫ﺍﻟﻤﺤﺭﻙ‬ ‫ﺒﻤﻨﻅﻭﻤﺎﺕ‬ ‫ﺃﻜﺒﺭ‬ ‫ﺒﺸﻜل‬ ‫ﻟﻼﻫﺘﻤﺎﻡ‬ ‫ﺘﺩﻋﻭ‬ ‫ﺍﻟﻤﻤﻴﺯﺍﺕ‬. ‫ﺒﺄﻥ‬ ‫ﻭﺠﺩ‬ ‫ﺤﻴﺙ‬ ‫ﺍﻟﺘﻐﻴﻴﺭ‬ ‫ﺍﻟﺤﺎﺼل‬ ‫ﻴﻐﺫﻯ‬ ‫ﻋﻨﺩﻤﺎ‬ ‫ﻴﺤﺩﺙ‬ ‫ﺍﻟﻤﺤﺭﻙ‬ ‫ﺃﺩﺍﺀ‬ ‫ﻓﻲ‬ ‫ﺍﻟﻤﺤﺭﻙ‬ ‫ﻟﻠﻔﻭﻟﺘ‬ ‫ﻋﺎﻜﺱ‬ ‫ﻤﻥ‬ ‫ﻴ‬ ‫ﺔ‬ ‫ﺍﻟﻤﻭﺠﺔ‬ ‫ﺫﻭ‬ ‫ﻟﺔ‬ ‫ﺍﻟﻤﻌﺩ‬ ‫ﺍﻟﺠﻴﺒﻴﺔ‬ ‫ﺃ‬ ‫ﻤﻥ‬ ‫ﻴﻐﺫﻯ‬ ‫ﻋﻨﺩﻤﺎ‬ ‫ﻤﻨﻪ‬ ‫ﻜﺜﺭ‬ ‫ﻤﺼﺩﺭ‬ ‫ﺍﻟﺠﻴﺒﻴﺔ‬ ‫ﺍﻟﻤﻭﺠﺔ‬ ‫ﺫﻭ‬ ‫ﺍﻟﺨﺎﻟﺼﺔ‬ .