Dynamical Analysis of an Interleaved Single Inductor TITO Switching Regulator

<table>Two-dimensional bifurcation diagram taking <svg height="14.3375" id="M253" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 14.925 14.3375" width="14.925" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.3375)">
<g transform="translate(72,-60.53)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.76,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑢</tspan>
</text>
</g>
</g>
</svg> and <svg height="14.2375" id="M254" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 18.25 14.2375" width="18.25" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.76,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">i</tspan>
<tspan style="font-size: 8.75px; " x="2.4330561" y="0">n</tspan>
</text>
</g>
</g>
</svg> as bifurcation parameter. Initial conditions are selected in the vicinity of the DC averaged state <svg height="14.2375" id="M255" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 16 14.2375" width="16" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.2375)">
<g transform="translate(72,-60.61)">
<text transform="matrix(1,0,0,-1,-71.95,63.79)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐼</tspan>
</text>
<text transform="matrix(1,0,0,-1,-65.95,60.66)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝐿</tspan>
</text>
</g>
</g>
</svg>. <svg height="14.6" id="M256" style="vertical-align:-3.13504pt" version="1.1" viewbox="0 0 45.075001 14.6" width="45.075001" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,14.6)">
<g transform="translate(72,-60.32)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑉</tspan>
</text>
<text transform="matrix(1,0,0,-1,-64.76,60.37)">
<tspan style="font-size: 8.75px; " x="0" y="0">𝑃</tspan>
</text>
<text transform="matrix(1,0,0,-1,-54.28,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="12.027886" y="0">3</tspan>
</text>
</g>
</g>
</svg> V.</table>

Mathematical Problems in Engineering

fig9

Figure 9

Figure 9: Dynamical Analysis of an Interleaved Single Inductor TITO Switching Regulator 