Lemonergy · Studio block
Variable transport progress delay
Delays a signal according to accumulated transport progress rather than a simple time offset.
- Implementation ID
native-variable-transport-delay- Reviewed
- 2026-10-27
Behavior
dξ/dt = 1/transit_time(t). y(t) = input history at transport coordinate ξ(t) − 1. The worked example connects this operation to signals in Lemonergy Studio.
Interface
| Name | Direction | Unit | Meaning |
|---|---|---|---|
in0 | input | 1 | Input; real scalar. |
in1 | input | 1 | Transit time; real scalar. |
out0 | output | 1 | Transported; real scalar. |
Parameters
Defaults are initial model values. Select values for your own model and operating conditions.
| Parameter | Unit | Default | Meaning and limits |
|---|---|---|---|
Minimum transit timeparams[0] | s | 0.1 | Configured finite numerical parameter. |
Maximum transit timeparams[1] | s | 1 | Configured finite numerical parameter. |
History capacityparams[2] | 1 | 2048 | Configured finite numerical parameter. |
Prehistory valuestables[0] | 1 | [0] | Configured coefficients or initial values in column-major order. |
Equations and rules
dξ/dt = 1/transit_time(t)y(t) = input history at transport coordinate ξ(t) − 1
Worked example
Variable transport progress delay — worked example
Input = 5; Transit time = 0.2. Transported at 1 s = 5.
Open Studio example after release →| Output | Time (s) | Expected value | Unit | Absolute tolerance |
|---|---|---|---|---|
Transportedout0 | 1 | 5 | 1 | 1e-08 |
Explore the recorded outputs
Variable transport progress delay recorded example
Variable transport progress delay13 actual recorded samples. Lines are visual guides between samples. Synthetic example, not measured cell data.
Read the selected signal as a table
| Time (s) | Value |
|---|
Download the recorded samples (JSON) · Open this Studio example after release
Use in a workflow
Variable transport progress delay — worked example
Delays a signal according to accumulated transport progress rather than a simple time offset.
- Variable transport progress delay: dξ/dt = 1/transit_time(t). y(t) = input history at transport coordinate ξ(t) − 1. 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.
Connected concepts
Limits and interpretation
- Continuous progress state integrates 1/transit-time; history is interpolated at progress minus one. Positive transit bounds 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.
- 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.
- 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)