Power Distribution Formulas
Power distribution network formulas relate decoupling, plane impedance, and IR drop to a stable supply at every load. These calculators help you place capacitors and size planes to hold voltage steady. They are critical for fast, clean digital and RF systems.
Power Distribution Formula Calculators
- Decoupling Capacitor Impedance Z = 1 / (2πfC) Target Frequency 100 kHz, Capacitance 100 pF → Impedance = 15.92 kΩ
- Capacitor Ripple Current (Buck) Irms = Iload × √(D×(1−D)) Load Current 4.4 mA, Duty Cycle 2.5 % → RMS Ripple Current = 0.6869 mA
- Bulk Capacitor Hold-Up Energy E = 0.5 × C × (V1² − V2²) Available Energy 100 µJ, Initial Voltage 0.33 V, Final Voltage 0.726 V → Capacitance = -0.4783 mF
- Buck Input Capacitor RMS Ripple Icin = Iout · √(D · (1 − D)) Output Current 2 mA, Duty Cycle 2.5 % → Input Cap RMS Ripple = 0.3122 mA
- Boost Output Capacitor RMS Ripple Icout = Iout · √(D / (1 − D)) Output Current 2 mA, Duty Cycle 2.5 % → Output Cap RMS Ripple = 0.3203 mA
Worked result for every Power Distribution formula
| Formula | Expression | Worked result |
|---|---|---|
| Decoupling Capacitor Impedance | Z = 1 / (2πfC) | Target Frequency 100 kHz, Capacitance 100 pF → Impedance = 15.92 kΩ |
| Capacitor Ripple Current (Buck) | Irms = Iload × √(D×(1−D)) | Load Current 4.4 mA, Duty Cycle 2.5 % → RMS Ripple Current = 0.6869 mA |
| Bulk Capacitor Hold-Up Energy | E = 0.5 × C × (V1² − V2²) | Available Energy 100 µJ, Initial Voltage 0.33 V, Final Voltage 0.726 V → Capacitance = -0.4783 mF |
| Buck Input Capacitor RMS Ripple | Icin = Iout · √(D · (1 − D)) | Output Current 2 mA, Duty Cycle 2.5 % → Input Cap RMS Ripple = 0.3122 mA |
| Boost Output Capacitor RMS Ripple | Icout = Iout · √(D / (1 − D)) | Output Current 2 mA, Duty Cycle 2.5 % → Output Cap RMS Ripple = 0.3203 mA |
Variables used across Power Distribution formulas
- Z — Capacitor impedance at target frequency (Ω)
- f — Target frequency (Hz)
- C — Capacitance (F)
- Irms — RMS ripple current in the input capacitor (A)
- Iload — DC load current (A)
- D — Converter duty cycle (0 to 1)
- E — Usable energy between V1 and V2 (J)
- V1 — Initial (fully charged) voltage (V)
- V2 — Minimum acceptable voltage (V)
- Icin — Input-capacitor RMS ripple current (A)
- Iout — Output current (A)
- Icout — Output-capacitor RMS ripple current (A)
Questions people ask about Power Distribution
- Capacitor value to hold up 0.4a at 12v for 20ms — Bulk Capacitor Hold-Up Energy
- Input ripple rms current in buck converter formula — Buck Input Capacitor RMS Ripple
- 3level buck calculation formula for input capacitor ripple current — Buck Input Capacitor RMS Ripple
Related Formula Categories
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