Question

Q. 8. Consider applying vi Acos(wt) to a non-linear system described by: vo 33vi 550v 600v Determine expressions for fundamental, second and third harmonic outputs of the system. Assume that the contribution of third harmonics towards fundamental can be neglected.

Answer 1

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* Given Visa casut; - 0 . Vo = -334, 75500, P+ 6000,?. - (costo- It lose) sub in 62-33 (A Coswt) +550[A’Cos’wt) +600(Ascorswt). V = -334 Coswt +55012 It Cos2wt) + 600A? Comment Cos 30 = 46oo 3 coso Costo = cos 30 + 3 coso BA Coswt +5504"+275A” Cosewt +600m2 [Cosgut 13 Cosw) Vo = -33A Coswt uses to No = -339 Coswt +275+1° +2 Vo=(45073-33A) Coswt + 275 AC 33A Coswt +27575" + 275 A Cossut + 150A3Cosswt +450A Coswt E +2354² Coszut + 150A3 Cosz Wt+27542 . Upe - o coswt + B₂ Cosawt + Big Cosgat +Bo . Vand harmonic 3rd harmonic By Rosetor es fundamental haemonic, First harmonic (or) fundamental feequency By Coswort: =(45042–334) Coswt and harmonic = B2 cossut = 275A2 Coszwt 3rd harmonic = B3 Cossut = 15043 cos swt. De Component Bo = 27542 .