What Is the Supercapacitor ESR, Stored Energy & Peak Power Calculator?
Supercapacitors store charge electrostatically in an electrochemical double layer, delivering massive power pulses.
How Does the Supercapacitor ESR, Stored Energy & Peak Power Calculator Work?
Energy scales with voltage squared, while matched peak power is limited strictly by internal ESR.
Supercapacitor ESR, Stored Energy & Peak Power Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
E = \frac{1}{2} C V^2, \quad P_{\max} = \frac{V^2}{4 \cdot \text{ESR}}, \quad \tau = C \cdot \text{ESR}
Electrostatic stored energy, matched load peak power, and RC time constant.
How to Use the Supercapacitor ESR, Stored Energy & Peak Power Calculator
- Input capacitance in Farads, rated voltage, internal ESR in milliohms, and cell mass.
Step-by-Step Example Calculation
3000F 2.7V Ultracapacitor Cell
Input Values:
capacitanceFarads:3000
ratedVoltageVolts:2.7
equivalentSeriesResistanceMOhm:0.3
deviceMassKg:0.55
Worked Steps: Stores 3.04 Wh (10,935 J) with matched peak power of 6.08 kW and RC time constant of 0.90 seconds.
Understanding Your Result
Displays stored energy in Wh and Joules, peak power in kW, and specific power in kW/kg.
Factors That Affect the Result
- Lower ESR dramatically boosts power delivery and reduces I^2*R internal heat buildup.
When Should You Use This Calculator?
- Automotive regenerative braking, pitch control in wind turbines, and grid power smoothing.
Assumptions & Limitations
- Matched impedance peak power assumes load resistance equals ESR.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard IEC 62391 ultracapacitor test methodology.