Table 1 RMS current values of the components.
From: High-step-up quadratic DC–DC converter based on switched capacitor and coupled inductor techniques
RMS Values at Vin = 20 V, Pout = 210 W, fS = 50 kHz, n = 2, and D = 0.5 | |
|---|---|
\(I_{S1}^{RMS} = \left( {\frac{1 + n}{{(1 - D)^{2} }} + \frac{2n}{{D(1 - D)}}} \right)\frac{{V_{O} \sqrt D }}{R} = 9.78A\) | \(I_{DO}^{RMS} = \frac{{V_{O} }}{{R\sqrt {1 - D} }} = 0.7A\) |
\(I_{S2}^{RMS} = \left( {\frac{1 + n}{{1 - D}} + \frac{2n}{D}} \right)\frac{{V_{O} \sqrt D }}{R} = 4.89A\) | \(I_{CO}^{RMS} = \frac{{V_{O} }}{R}\sqrt {\frac{D}{1 - D}} = 0.49A\) |
\(I_{C2}^{RMS} = I_{C3}^{RMS} = \frac{{V_{O} }}{{R\sqrt {D(1 - D)} }} = 1A\) | \(I_{secondary}^{RMS} = \frac{{V_{O} }}{R}\sqrt {\frac{4 - 3D}{{D(1 - D)}}} = 1.58A\) |
\(I_{L1}^{RMS} = \frac{{DV_{O} }}{R}\left( {\frac{1 + n}{{(1 - D)^{2} }} + \frac{2n}{{D(1 - D)}}} \right) = 7A\) | \(I_{D2}^{RMS} = I_{D3}^{RMS} = \frac{{V_{O} }}{R\sqrt D } = 0.7A\) |
\(I_{primary}^{RMS} = \frac{{V_{O} }}{R}\sqrt {\frac{{D + 4n^{2} + n^{2} D^{2} + 4nD - 2nD^{2} - 4n^{2} D}}{{D(1 - D)^{2} }}} = 5A\) | |
\(I_{C1}^{RMS} = I_{O} \sqrt {\frac{{D^{2} + 4n^{2} + n^{2} D^{2} + 4nD - 2nD^{2} - 4n^{2} D}}{{D(1 - D)^{3} }}} = 6.91A\) | |
\(I_{D1}^{RMS} = D\left( {\frac{1 + n}{{(1 - D)^{2} }} + \frac{2n}{{D(1 - D)}}} \right)\frac{{V_{O} \sqrt {1 - D} }}{R} = 4.89A\) | |
