In a 1-phase UPS, Vd = 350 V, vo(t) = 170 sin(2π * 60t) V, and io(t) = 10 sin(2π * 60t - 30ᴼ) A. Calculate and plot da(t), db(t), vaN(t), vbN(t), Id, id2(t) and id(t). Switching frequency fs = 20 kHz.

provided in the explanation section

Explanation:

The question says;

In a 1-phase UPS, Vd = 350 V, vo(t) = 170 sin(2π * 60t) V, and io(t) = 10 sin(2π * 60t - 30ᴼ) A.Calculate and plot da(t), db(t), vaN(t), vbN(t), Id, id2(t) and id(t). Switching frequency fs = 20 kHz.

Answer

From this we have come to this;

da = Ṽan/Vd = 0.5 + (0.5 * 0.4857) sin w,t

db = Ṽbn/Vd = 0.5 - (0.5 * 0.4857) sin w,t

Ṽan(t) = da * 350 V

Ṽbn(t) = db * 350 V

Id = 0.5 * Ṽo/ Vd * Îo cosΦ1 = 0.5 * (170/350) * 10 * cos 30ᴼ = 2.429 A

Id2 = -0.5 * 170/350 * 10 * sin(2 w,t - 30ᴼ) = -2.429 sin(2 w,t - 30ᴼ)

īd = Id + id2 = 2.429 A + -2.429 sin(2 w,t - 30ᴼ).

Note: Attached is a copy of an image showing and explaining thr plots.

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