lemonergy· battery engineering courses

Lemonergy · Studio block

Identity matrix

Produces a square identity matrix of the configured size.

Implementation ID
native-identity-matrix
Reviewed
2026-10-27

Behavior

Iᵢⱼ = 1 when i = j; otherwise 0. The worked example connects this operation to signals in Lemonergy Studio.

Interface

Identity matrix interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Identity matrixStudio blockout0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
out0output1Identity; real 2 × 2 array.

Parameters

No configurable parameters for this component.

Equations and rules

  • Iᵢⱼ = 1 when i = j; otherwise 0

Worked example

Identity matrix — worked example

Uses the configured source values. Identity at 0 s = [1,0,0,1].

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Identity
out0		0[1, 0, 0, 1]11e-08

Explore the recorded outputs

Identity matrix recorded example

Identity matrix [1, 1]
Identity matrix [1, 1] against timeRecorded synthetic simulation values. Time in seconds; output in —.0.500.750.2510.51.250.751.51—Time (s)
Identity matrix [1, 1]: 1 — at 0 s

2 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.

Download the recorded samples (JSON) · Open this Studio example after release

Use in a workflow

Identity matrix — worked example

Produces a square identity matrix of the configured size.

  1. Identity matrix: Iᵢⱼ = 1 when i = j; otherwise 0. The worked example connects this operation to signals in Lemonergy Studio.
    • Use the block reference for settings and connections.
    • Implementation tested locally; public release pending.
Open Studio example after release

Connected concepts

Limits and interpretation

  • Shapes and element types are explicit. Values must be finite; automatic reshaping and unit conversion are not performed.

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. NIST Digital Library of Mathematical Functions, §3.2 Linear Algebra

    National Institute of Standards and Technology

    Technical reference · Linear algebra and matrix operations; conceptual background, not software certification.

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)