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Lemonergy · Studio block

Variable time delay

Reads accepted signal history at a connected time delay.

Implementation ID
native-variable-time-delay
Reviewed
2026-10-27

Behavior

y(t) = input history at t − connected delay(t). The worked example connects this operation to signals in Lemonergy Studio.

Interface

Variable time delay interfaceInputs or arguments on the left, observed outputs on the right. Conserving terminals appear below the component. The tables give units and behavior.Variable time delayStudio blockin0in1out0
Original Lemonergy interface view. Lines identify ports; they are not a completed simulation circuit.
Ports and observed outputs
NameDirectionUnitMeaning
in0input1Input; real scalar.
in1input1Delay; real scalar.
out0output1Delayed; real scalar.

Parameters

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

Configuration fields
ParameterUnitDefaultMeaning and limits
Minimum delay
params[0]		s0.1Positive method-of-steps bound.
Maximum delay
params[1]		s1Configured finite numerical parameter.
History capacity
params[2]		12048Configured finite numerical parameter.
Prehistory values
tables[0]		1[0]Configured coefficients or initial values in column-major order.

Equations and rules

  • y(t) = input history at t − connected delay(t)

Worked example

Variable time delay — worked example

Input = 5; Delay = 0.2. Delayed at 1 s = 5.

Open Studio example after release →
Numerical checks for the bundled synthetic example
OutputTime (s)Expected valueUnitAbsolute tolerance
Delayed
out0		1511e-08

Explore the recorded outputs

Variable time delay recorded example

Variable time delay
Variable time delay against timeRecorded synthetic simulation values. Time in seconds; output in —.-0.401.050.252.50.53.950.755.41—Time (s)
Variable time delay: 0 — at 0 s

11 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

Variable time delay — worked example

Reads accepted signal history at a connected time delay.

  1. Variable time delay: y(t) = input history at t − connected delay(t). 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

  • Real accepted-step history at t minus connected delay; configured positive minimum/maximum bounds, method-of-steps limit and finite buffer. Moving discontinuity arrival is not root-localized.
  • 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. Numerical Methods for Delay Differential Equations

    Alfredo Bellen, Marino Zennaro · Oxford University Press · 2003

    Technical reference · Numerical treatment of delay equations and propagation of discontinuities. Publisher metadata and chapter abstracts checked; software behavior is established separately by Lemonergy tests.

  2. NIST Digital Library of Mathematical Functions, §3.3 Interpolation

    National Institute of Standards and Technology

    Technical reference · Interpolation formulas, including linear interpolation equation 3.3.14.

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)