MB39A105
• Smoothing Capacitor
The smoothing capacitor is an indispensable element for reducing ripple voltage in output. In selecting a smooth- ing capacitor it is essential to consider equivalent series resistance (ESR) and allowable ripple current. Higher ESR means higher ripple voltage, so that to reduce ripple voltage it is necessary to select a capacitor with low ESR. However, the use of a capacitor with low ESR can have substantial effects on loop phase characteristics, and therefore requires attention to system stability. Care should also be taken to use a capacity with sufficient margin for allowable ripple current. This application uses the TEPSLA21A475M8R (NEC/TOKIN) . The ESR, capacitance value, and ripple current can be calculated from the following formulas.
Equivalent Series Resistance : ESR
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| ΔVO | 1 |
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ESR |
| ≤ |
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| − |
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ΔIL |
| 2πfCL | ||||||
Capacitance value : CL | ||||||||
CL ≥ |
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| ΔIL | ||
| 2πf (ΔVO − ΔIL ⋅ ESR) | |||||||
Ripple current : ΔICL | ||||||||
ΔICL | ≥ |
| VIN | ton | ||||
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| L | |||||||
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Example: Using the TEPSLA21A475M8R (Three piecies are parallel.)
Rated voltage = 10 V, ESR = 500 mΩ, maximum allowable ripple current = 1 Ap−p
Equivalent series resistance
ESR ≤ |
| ΔVO | − |
| 1 |
| |
| ΔIL |
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| 2πfCL |
| ||
≤ | 0.18 |
| − | 1 | |||
| 0.654 | 2π ⋅ 500 ⋅ 103 ⋅ 14.1 ⋅ 10−6 | |||||
≤252.7 mΩ
Capacitance value : CL
CL ≥ | ΔIL | |
2πf (ΔVO − ΔIL ⋅ ESR) |
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≥ | 0.39 |
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2π ⋅ 500 ⋅ 103 ⋅ (0.18 − 0.654 ⋅ 0.167) | ||
≥2.94 ∝F
Ripple current : ΔICL
ΔICL ≥ | VIN |
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| ton |
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| L |
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≥ | 4 ⋅ (9 − 4) | ⋅ | 1 | |
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6.8 ⋅ 10−6 ⋅ 9 | 500 ⋅ 103 | |||
≥ 0.654 Ap−p
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