1. A six-pulse uncontrolled rectiload. The inductance is very 1(a) Determine average load o(b) Determine the maximum(c) Determine the maximum(d) Determine average loac(e) Carefully sketch the wavdiode conduction pattern.

Answered: 1. A six-pulse uncontrolled recti load.…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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1. A six-pulse uncontrolled recti
load. The inductance is very 1
(a) Determine average load o
(b) Determine the maximum
(c) Determine the maximum
(d) Determine average loac
(e) Carefully sketch the wav
diode conduction pattern.

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1(a). The instantaneous load current $(i_{o})$ can be obtained from following expression

$L \frac{d i_{o}}{d t} + R \times i_{o} = \sqrt{2} \times V_{a b} \sin (ω t)$

From the above differential equation $i_{o}$ can be obtained as follows

$i_{o} = \frac{\sqrt{2} \times v_{a b}}{\sqrt{R^{2} + {(ω L)}^{2}}} \sin (ω t - θ) + K \times e^{- \frac{t}{τ}}$

Where

R is the resistance of load

L is the inductance of load

$ω$ is the angular frequency

$τ$ is the time constant of load i.e. $τ = \frac{L}{R}$

$v_{a b}$ is the given line to line voltage of source

$θ = \tan^{- 1} (\frac{ω L}{R})$

The constant $K = [I_{m a x} - \frac{\sqrt{2} \times v_{a b}}{\sqrt{R^{2} + {(ω L)}^{2}}} \sin (\frac{π}{3} - θ)] \times e^{\frac{π}{3 ω τ}}$

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