lemonergy· battery engineering courses

Lemonergy · Studio block

Piecewise-linear diode

Forward threshold and finite slope; reverse leakage conductance, no breakdown or junction charge

Implementation ID
diode
Reviewed
2026-10-27

Behavior

Conserving component solved simultaneously with the connected network. Forward threshold and finite slope; reverse leakage conductance, no breakdown or junction charge

Interface

Piecewise-linear diode interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Piecewise-linear diodeStudio blockcurrentvoltagepowerpn
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
pterminalV; Aelectrical conserving connection; voltage across and current through the connected branch.
nterminalV; Aelectrical conserving connection; voltage across and current through the connected branch.
currentoutputARecorded current measurement from the conserving simulation.
voltageoutputVRecorded voltage measurement from the conserving simulation.
poweroutputWRecorded power measurement from the conserving simulation.

Parameters

Defaults are initial model values. Select values for your own model and operating conditions.

Configuration fields
ParameterUnitDefaultMeaning and limits
Forward threshold voltage
forwardVoltageV		V0.7Voltage at which the diode changes from leakage conductance to its forward resistance.
Minimum 0; Maximum 1000
On-state resistance
onResistanceOhm		ohm0.01Resistance of the conducting branch or conducting end of the memristor model.
Minimum 1e-06; Maximum 1000000000
Reverse leakage conductance
offConductanceS		S0Conductance applied below the diode forward threshold.
Minimum 0; Maximum 1000

Equations and rules

  • I = Goff V for V ≤ Vf; I = Goff Vf + (V − Vf)/Ron otherwise

Worked example

Piecewise-linear diode worked example

Editable first-party network. supply: voltageV=5; resistor: resistanceOhm=100. Checks below were verified in the native execution engine.

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
current
target/current		10.0429957004A4.2995700429957e-08
voltage
target/voltage		10.700429957V7.004299570042994e-07
power
target/power		10.0301154766W3.0115476603530505e-08

Use in a workflow

Piecewise-linear diode worked example

Forward threshold and finite slope; reverse leakage conductance, no breakdown or junction charge

  1. Piecewise-linear diode: Conserving component solved simultaneously with the connected network. Forward threshold and finite slope; reverse leakage conductance, no breakdown or junction charge
    • Use the block reference for settings and connections.
    • Implementation tested locally; public release pending.
Open Studio example after release

Connected concepts

Limits and interpretation

  • Forward threshold and finite slope; reverse leakage conductance, no breakdown or junction charge
  • Demonstration parameters are not calibrated hardware data. Singular or incompatible ideal constraints and unsupported state ranges stop the run.

Scientific and mathematical references

These sources explain the scientific and mathematical background. The behavior, interface and limits above define the Lemonergy implementation; a citation does not imply every model option in the source is implemented.

  1. Kirchhoff's Rules

    OpenStax, Rice University

    Technical reference · Underlying physical law or reduced-model basis; Lemonergy implementation choices and limits are documented separately.

  2. Electrical Energy and Power

    OpenStax, Rice University

    Technical reference · Underlying physical law or reduced-model basis; Lemonergy implementation choices and limits are documented separately.

Implementation sources

This reference follows the public interface and locally verified numerical checks for an upcoming release.

Contract: Lemonergy Studio public contract · Verification record: verification-2026-10-27

  • docs/glossary/native-block-verification.json

This implementation and its workflow uses (JSON) · Knowledge graph (JSON-LD)