Energy Harvesting Calculator
Energy Harvesting Calculator
Size an energy-harvesting IoT node by balancing harvested power, load power, storage energy, and outage autonomy.
Energy Harvesting Calculator
Balance ambient energy, converter losses, storage capacity, and node duty cycle. The goal is not only positive average power, but enough stored energy to survive cloudy, quiet, cool, or RF-poor periods.
Choose the existing balance lens or the finite-store capacity lens.
Load Finite 10 mJ, then change only Harvest scale from 1.00 to 1.50.
At Harvest scale 1.50, Spill fraction rises once the 10 mJ Finite-store capacity is full, while Served power stays on its demand plateau.
Within 8 slots, arrival-before-service can overflow a 10 mJ store even when later demand is unmet; mean energy alone loses that timing and headroom constraint.
Controls
Select a source, then tune the environment, node load, and storage reserve.
Energy Flow
The moving token follows energy from the ambient source through conversion, storage, and the node load.
Live Design Decision
Outdoor solar can support periodic sensing if panel area, sun hours, and storage reserve match the load.
Harvest side
Load and storage
Design flags
The average energy balance is positive and storage covers the selected outage target.
Harvest Equation
Peak source power is reduced by efficiency and availability.
Pavg = Ppeak x hours/24Load Equation
Average current combines active and sleep current using duty cycle.
Pload = V x IavgStorage Check
Supercapacitor energy depends on the usable voltage window.
E = 0.5 C (Vhi^2 - Vlo^2)Beginner Ramp
Energy harvesting is a balance problem: source energy in, converter losses, storage reserve, and load energy out.
- Power is the rate of energy flow.
- Energy is power accumulated over time.
- Autonomy is how long storage can run the node without harvesting.
Core Formulas
Average harvest: Pavg = Ppeak x available hours / 24.
Average load: Iavg = Iactive x duty + Isleep x (1 - duty).
Storage: E = 0.5 C (Vhigh^2 - Vlow^2).
Quick Reference
- Positive daily balance means the average system can recharge.
- Storage reserve handles night, still machines, low temperature gradient, or poor RF exposure.
- RF harvesting usually supports only very low duty-cycle tags or sensors.
Solar Note
Solar design must use realistic useful sun hours, orientation, dirt, shade, aging, and seasonal variation. Outdoor peak values should not be treated as all-day values.
Thermal Note
Thermal generators need a sustained temperature difference and a heat path. If both sides warm together, the usable delta-T collapses.
Storage Note
Supercapacitors have leakage, voltage limits, and converter start-up constraints. The classroom calculation shows first-order usable energy, not a full hardware qualification.
Practice 1
Select RF and keep the default load. Explain why the daily balance becomes difficult.
Practice 2
Select Solar, reduce availability to 2 h/day, and increase outage target. Decide whether storage or load duty cycle should change first.
Practice 3
Select Thermal and vary delta-T. Notice that a small temperature difference gives much less usable power.
When more harvest becomes spill
Follow each arrival through conversion, finite headroom, service, and the closing store before comparing served-power and mean-only AWGN readouts.
Schedule evidence
Slot ledger: arrival before service
| Slot | Open | Raw | Converted | Headroom | Accepted | Overflow | Used | Unmet | Close |
|---|
Synchronized formula and diagnosis
Cfinite = W log2(1 + Puse/(N0 W))
Deterministic fixture assertions · relative tolerance 1e-6
| Fixture | Useful work | Overflow | Spill fraction | C finite | Result |
|---|
Technical boundaries. This is a deterministic finite-horizon, slotted, arrival-before-service energy ledger plus an ideal real-AWGN average-power comparison. Arrivals, request energy, efficiency, bandwidth, and noise density are entered evidence. It does not optimize a causal transmit policy, coding rate, save-then-transmit duration, fading channel, channel-state information, packet deadlines, leakage, converter quiescent loss, battery chemistry, charge-rate limits, cold start, voltage-dependent capacity, degradation, correlated stochastic arrivals, retransmissions, or outage probability. The Shannon readout is a teaching bound, not delivered application throughput; validate the real store, power path, radio, workload, and arrival trace.