Hefnawy, H., Moness, M., Mohamed, E. (2012). A PRECISE ANALYSIS AND VISUALIZATION OF PWM INVERTERS OUTPUT VOLTAGE THD USING COMPUTER ALGEBRA. JES. Journal of Engineering Sciences, 40(No 3), 765-780. doi: 10.21608/jesaun.2012.114409
Hossam Hefnawy; M. Moness; El-Sayed Mohamed. "A PRECISE ANALYSIS AND VISUALIZATION OF PWM INVERTERS OUTPUT VOLTAGE THD USING COMPUTER ALGEBRA". JES. Journal of Engineering Sciences, 40, No 3, 2012, 765-780. doi: 10.21608/jesaun.2012.114409
Hefnawy, H., Moness, M., Mohamed, E. (2012). 'A PRECISE ANALYSIS AND VISUALIZATION OF PWM INVERTERS OUTPUT VOLTAGE THD USING COMPUTER ALGEBRA', JES. Journal of Engineering Sciences, 40(No 3), pp. 765-780. doi: 10.21608/jesaun.2012.114409
Hefnawy, H., Moness, M., Mohamed, E. A PRECISE ANALYSIS AND VISUALIZATION OF PWM INVERTERS OUTPUT VOLTAGE THD USING COMPUTER ALGEBRA. JES. Journal of Engineering Sciences, 2012; 40(No 3): 765-780. doi: 10.21608/jesaun.2012.114409
A PRECISE ANALYSIS AND VISUALIZATION OF PWM INVERTERS OUTPUT VOLTAGE THD USING COMPUTER ALGEBRA
Computer and systems Eng. Dept., Faculty of Engineering, El Minia University
Abstract
In this paper a comprehensive study of THD of PWM inverters output voltage is illustrated by advanced technique using computer algebra systems. First, the target function is explained using mathematical analytical methods, and then these very complex equations are simplified by manipulating trigonometric identities and mathematical formulas. By using CAS (Computer Algebra System) MATHEMATICA - which is one of the most popular and powerful software - its symbolical and numerical manipulation capabilities to calculate the exact THD and produce it in a simple and fast convergent formula is presented. Second, a simulation package is established using MATHEMATICA to visualize output voltage THD. Finally, this package is utilized to analyze the effect of changing carrier duty cycle on output voltage THD of SPWM inverters. In addition a comparison study with [18] is presented, consequently a result that the work in [18] is fake.