I n t r o d u c t i o nWith t h e progress i n t h e d i g i t a l cont r o l of i n v e r t e r s , the f i r i n g angle c o n t r o l of t h e s i n u s o i d a l P W M i n v e r t e r has been improved g r e a t l y i n recent years. The soall of t h e 3rd t o 95th harmonics. Also, t h e e f f e c t of an output f i l t e r based on t h e concept of CKF (Capacitive K l i r r Factor) o r FKF ( F i l t e r i n g K l i r r Factor) i s discussed.
Analysis of OutputWaveform of I n v e r t e r Consider a generalized 3-level p u l s e p a t t e r n as shown i n Fig. 1. The Fourier serltes of t h e p u l s e p a t t e r n does n o t contain cosine terms and even-order harmonics. Furt h e r , t h e p u l s e a t t h e center of t h e h a l fcycle has t h e l a r g e s t width and t h e r e f o r e t h e p u l s e p a t t e r n comprises an odd number of pulses. Denoting t h e number of p u l s e s by M and t h e f i r i n g phase of t h e i t h p u l s e by a i , amplitude Ak of k t h harmonics and average 74 f a c t o r AF of output v o l t a g e are given by S i m i l a r equations can be derived f o r a 2l e v e l p u l s e p a t t e r n b u t t h e i n v e r t e r produci n g such a p u l s e p a t t e r n h a s a d i f f e r e n t s t r u c t u r e from t h a t producing a 3-level pulse p a t t e r n . A s a r e s u l t , w e do n o t d i s c u s s t h e 2-level p u l s e p a t t e r n . Patel-Hoft showed t h a t i n order t o e l i m i n a t e M odd harmonics by using a p u l s e p a t t e r n c o n s i s t i n g of M p u l s e s per h a l fc y c l e , i t is necessary t h a t where i t i s assumed t h a t we want t o e l i m i n a t e a l l 3rd t o (2M + 1 ) s t harmonics consecutively.
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