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Update theory.md
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vlabsdev-iitd authored Jun 27, 2024
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### Theory


<center>
<img src="images/th1.png" height="300px">
<img src="images/th1.png" height="220px">

Fig. 1. Silicon controlled rectifier/ Thyristor.

Expand All @@ -20,7 +21,7 @@ Thyristor-based rectifiers offer the advantage of controlled rectification, allo
<br>

<center>
<img src="images/th2.png" height="300px">
<img src="images/th2.png" height="700px">

<br>Fig. 2. Circuit diagram of controlled rectifier.

Expand Down Expand Up @@ -68,20 +69,19 @@ Fig. (2) shows a fully controlled bridge rectifier, which uses four thyristors t

<br>
<div style="float: left; width:50%;">
<img src="images/th5.png" height="135px">
<img src="images/th5.png" height="60px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(1)
</div>
<br>

<div style="float: left; width:100%;"><br>
<div style="float: left; width:100%;">
&nbsp;
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th6.png" height="80px">
<img src="images/th6.png" height="60px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(2)
Expand All @@ -90,11 +90,11 @@ Fig. (2) shows a fully controlled bridge rectifier, which uses four thyristors t
<br>

<div style="float: left; width:100%;"><br>
The RMS value of the output voltage V_rms and current I_rms are:
</div><br>
The RMS value of the output voltage V_rms and current I_rms are:<br>
</div>

<div style="float: left; width:50%;">
<img src="images/th7.png" height="80px">
<img src="images/th7.png" height="70px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(3)
Expand All @@ -104,11 +104,10 @@ The RMS value of the output voltage V_rms and current I_rms are:

<div style="float: left; width:100%;"><br>
&nbsp;
<br>
</div>

<div style="float: left; width:50%;">
<img src="images/th8.png" height="50px">
<img src="images/th8.png" height="60px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(4)
Expand All @@ -121,7 +120,7 @@ The RMS value of the output voltage V_rms and current I_rms are:
</div><br>

<div style="float: left; width:50%;">
<img src="images/th9.png" height="90px">
<img src="images/th9.png" height="50px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(5)
Expand All @@ -135,7 +134,7 @@ Apparent power is:
</div><br>

<div style="float: left; width:50%;">
<img src="images/th10.png" height="85px">
<img src="images/th10.png" height="50px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(6)
Expand All @@ -150,7 +149,7 @@ Input Power factor is:


<div style="float: left; width:50%;">
<img src="images/th11.png" height="105px">
<img src="images/th11.png" height="60px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(7)
Expand Down Expand Up @@ -184,10 +183,10 @@ Input Power factor is:

<br>
<center>Fig. 4. Steady-state waveforms of controlled rectifier.</center>
<br><br>


<div style="float: left; width:100%;">
<br><br>
<br>

**WITH RL-LOAD**

Expand All @@ -199,11 +198,11 @@ Input Power factor is:
<br>
<div style="float: left; width:100%;"><br>
The average (DC) output voltage and current are:
<br>
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th14.png" height="75px">
<img src="images/th14.png" height="60px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(8)
Expand All @@ -213,11 +212,10 @@ The average (DC) output voltage and current are:

<div style="float: left; width:100%;"><br>
&nbsp;
<br>
</div>

<div style="float: left; width:50%;">
<img src="images/th15.png" height="105px">
<img src="images/th15.png" height="65px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(9)
Expand All @@ -231,7 +229,7 @@ The RMS value of the output voltage and current waveforms are formulated as:
</div>

<div style="float: left; width:50%;">
<img src="images/th16.png" height="85px">
<img src="images/th16.png" height="78px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(10)
Expand All @@ -241,11 +239,10 @@ The RMS value of the output voltage and current waveforms are formulated as:

<div style="float: left; width:100%;"><br>
&nbsp;
<br>
</div>

<div style="float: left; width:50%;">
<img src="images/th17.png" height="85px">
<img src="images/th17.png" height="60px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(11)
Expand All @@ -255,11 +252,11 @@ The RMS value of the output voltage and current waveforms are formulated as:

<div style="float: left; width:100%;"><br>
The input source current Fourier series expansion is:
<br>
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th18.png" height="76px">
<img src="images/th18.png" height="50px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(12)
Expand All @@ -273,7 +270,7 @@ The RMS value of the nth harmonic input current is:
</div>

<div style="float: left; width:50%;">
<img src="images/th19.png" height="76px">
<img src="images/th19.png" height="70px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(13)
Expand All @@ -287,7 +284,7 @@ RMS value of the fundamental current is:
</div>

<div style="float: left; width:50%;">
<img src="images/th20.png" height="76px">
<img src="images/th20.png" height="65px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(14)
Expand All @@ -301,7 +298,7 @@ The RMS value of input current is:
</div>

<div style="float: left; width:50%;">
<img src="images/th21.png" height="76px">
<img src="images/th21.png" height="80px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(15)
Expand All @@ -311,11 +308,11 @@ The RMS value of input current is:

<div style="float: left; width:100%;"><br>
Harmonic factor:
<br>
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th22.png" height="76px">
<img src="images/th22.png" height="70px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(16)
Expand All @@ -325,11 +322,11 @@ Harmonic factor:

<div style="float: left; width:100%;"><br>
Displacement factor:
<br>
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th23.png" height="76px">
<img src="images/th23.png" height="45px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(17)
Expand All @@ -339,11 +336,11 @@ Displacement factor:

<div style="float: left; width:100%;"><br>
Power factor:
<br>
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th24.png" height="76px">
<img src="images/th24.png" height="75px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(18)
Expand All @@ -353,11 +350,11 @@ Power factor:

<div style="float: left; width:100%;"><br>
Output power:
<br>
<br><br>
</div>

<div style="float: left; width:50%;">
<img src="images/th25.png" height="76px">
<img src="images/th25.png" height="55px">
</div>
<div style="float: right; width:50%; text-align:center;">
..(19)
Expand Down

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