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kicad-zone-resistance/README.md
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grabowski cfe6c72f3b README: 1D traces now show |J|; teardrops included; AC |J| reference
Follow the swarm-review fixes: chain cells display the true in-trace
current density, teardrop zones conduct, and AC current-density maps
are referenced to the skin-reduced equivalent thickness.
2026-07-15 19:47:04 +07:00

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# Fill Resistance — KiCad 10 plugin
Computes the **DC or AC resistance of copper zone fills and traces**
between two contacts, **single- or multi-layer**: the chosen net's fills
(teardrops included) and tracks on the selected copper layers are
solved as coupled finite-difference sheets linked by the net's **via
and through-hole-pad barrels** (18 µm plating, configurable). At a user-set **frequency** the exact 1D foil/barrel
skin-effect correction is applied (AC results are a rigorous lower
bound — see *Model & limits*). Shows per-layer rasterized maps,
potential, current density, and **power density**, reports **per-via
currents** (via ampacity!) and total dissipation at a **selectable test
current**. PNGs + a text summary are saved per run.
Uses the KiCad **IPC API** (`kicad-python` / `kipy`), not the deprecated
SWIG API. Requires KiCad **10.0.1+**.
## Setup (one-time)
1. **Enable the API server**: KiCad → Preferences → Plugins → check
*Enable KiCad API*.
2. **Check the interpreter path** on the same page: should point at the
KiCad 10 Python, e.g. `C:\Program Files\KiCad\10.0\bin\pythonw.exe`
on Windows or `/usr/bin/python3` on Linux (after a 9→10 upgrade it
can point at KiCad 9).
3. **Deploy** (dev checkout; end users install the PCM zip instead, see
*Packaging*):
```powershell
powershell -ExecutionPolicy Bypass -File deploy.ps1 # junction (dev)
powershell -ExecutionPolicy Bypass -File deploy.ps1 -Mode Copy
```
Linux / macOS (also works on Windows with developer mode):
```bash
python3 tools/deploy.py # symlink (dev)
python3 tools/deploy.py --copy
```
4. **Restart KiCad**; first load builds the plugin venv (numpy, scipy,
matplotlib, PySide6 — takes minutes; the Ω button appears when done).
If stuck: Preferences → Plugins → *Recreate Plugin Environment*.
## Usage
1. Mark the current-injection terminals. Each terminal may have
**multiple parts** (all merged into one externally-bonded contact):
- **V+ rectangles on `User.1`**, **V rectangles on `User.2`**
(marker layers, configurable via `ELECTRODE_POS_LAYER` /
`ELECTRODE_NEG_LAYER`), any number per side, axis-aligned;
- **pads** (real copper shape; through-hole pad contacts all layers,
SMD pad its own layer) — selected pads fill a side that has no
rectangles;
- legacy: exactly 2 selected contacts with no marker rectangles still
works; empty selection scans the whole board's marker layers.
2. **Select the contacts**, click the **Fill Resistance** Ω button.
3. In the **dialog**, pick the net (defaults to the selected pad's net),
check the **layers** to include, set each contact's layer scope
("All selected layers" = bolted-lug/through contact), the **test
current**, and optionally a grid cell size. Multiple layers are coupled
through the net's via/pad barrels automatically.
4. Read R / voltage drop / total power in the figure titles and status
bar. Outputs land in `<board dir>\fill_res_results\<timestamp>\`:
per-layer `1_raster_map` / `2_potential` / `3_current_density` /
`4_power_density` PNGs, `summary.txt` (incl. the busiest vias with
per-via current and dissipation, and the **current through each
injection area** — computed flux with the equipotential model,
prescribed area share with the uniform model), `geometry_dump.json`.
## Model & limits
- Sheet model per layer: R□ = ρ/t, ρ = 1.68e-8 Ωm (20 °C), t from the
board's physical stackup. Layer z-positions from the stackup drive the
barrel lengths.
- Via/pad barrels: thin-wall annulus, R = ρ·L/(π·d·t_plating),
`VIA_PLATING_UM = 18` in `fill_resistance/config.py`. Vias are always
plated. Each via also contributes its **ring/pad copper** (a
full-thickness disc of the pad diameter on every spanned layer) and
its **drill mouth**, area-weighted per cell: with the **"vias filled +
capped" checkbox** (default on, `VIAS_CAPPED`) the mouth carries a
thin copper cap (`CAP_PLATING_UM = 15`, fab spec) on the **outer**
layers and is an open hole on inner layers; unchecked, mouths are open
holes everywhere. Layer-to-layer the cap never matters at DC (it is in
parallel with the annular-ring contact, not in series) — the checkbox
only affects in-plane conduction across outer-layer mouths. Sub-cell
mouths scale their cells' sheet conductance by the true covered
fraction (4×4 supersampling), so coarse grids see the correct small
perturbation instead of a whole-cell hole. THT-pad copper and drills
remain outside the model; at f > 0 the thickness scaling is applied
multiplicatively to the skin-corrected sheet conductance
(approximation). Per layer a barrel attaches to
the fill cell under it, or to the nearest copper cell within the pad
footprint plus one grid cell — fills joined by **thermal-relief
spokes** still connect; wider antipads do not, and the barrel bridges
the layers above/below with the full barrel length. Barrels that reach
fill on fewer than two layers carry no current and are reported.
- The net's **traces** (straight and arc tracks, exact outline polygons
incl. rounded ends) conduct together with the fills — dialog checkbox,
on by default (`INCLUDE_TRACKS`). Traces narrower than
`TRACK_1D_FACTOR` (3) grid cells are modeled as exact **1D resistor
chains** along their centerline — true arc length per link, so their
series resistance carries no discretization error and no cell-size
tuning is needed for thin traces. 1D-modeled traces show potential,
power density, and |J| (the true in-trace density from the link
currents, |ΔV|/(ρ·Δl)). Pad copper other than the selected
contacts is still **not** part of the conductor model.
- **Solder buildup on mask openings** (dialog checkbox, **off by
default**; `INCLUDE_MASK_BUILDUP`): zones drawn on `F.Mask`/`B.Mask`
are treated as mask openings that collect `SOLDER_THICKNESS_UM`
(50 µm) of solder on the exposed pour, plus an optional user-defined
added copper thickness (dialog field, e.g. a soldered busbar/wire).
The sheet conductance there becomes t_Cu/ρ_Cu + t_solder/ρ_solder +
t_extra/ρ_Cu (SAC305 ρ = 1.32e-7 Ωm: 50 µm solder ≈ 6.4 µm copper);
interface faces use harmonic-mean conductances. Buildup areas render
tin-gray on the raster map; |J| in them is referenced to the
conductance-equivalent copper thickness.
- **Contact models** (dialog / `CONTACT_MODEL`): default **uniform
injection** — a conductor pressed on top feeds the current orthogonally
with uniform surface density, so |J| ramps across the contact area
(R = ΔV̄/I from area-averaged terminal potentials); or
**equipotential** — ideal bonded lug (Dirichlet). The two bracket a
real contact: R_equipotential ≤ R_real ≤ R_uniform. If the selected
fills form several disconnected copper groups that each touch both
terminals (e.g. planes joined only through the bolted lugs), only the
equipotential model is well-defined; the uniform model stops with an
error instead of prescribing an arbitrary split.
- Fields are reported at the dialog's test current; power scales with I².
- **Skin effect (f > 0)**: per-layer effective sheet resistance from the
exact 1D foil-diffusion solution `Zs = τρ·coth(τt)`, `τ = (1+j)/δ`
(`SKIN_SIDES = 1` in config: plane facing a return plane; `2` =
isolated foil), and the analogous correction for the 18 µm barrel wall.
Enter one frequency per run (e.g. a switching harmonic, with its RMS
amplitude as the test current) — suffixes `k`/`M` accepted.
**Caveat:** only through-thickness crowding is modeled. Lateral
(proximity-effect) redistribution needs a magneto-quasistatic solver
and is not captured — since the resistance-driven distribution is the
minimum-dissipation one, AC results are a rigorous **lower bound**.
Rule of thumb for 70 µm foil: skin is negligible below ~300 kHz
(δ = 173 µm at 142 kHz), ~+11 % at 1 MHz. At f > 0 the |J| maps are
referenced to the skin-reduced conduction-equivalent thickness
t/(R_AC/R_DC) — the density in the copper that actually conducts —
not the geometric foil thickness.
- 5-point FDM per layer on an auto-sized shared grid (~2 M fine cells
with the uniform grid; ~8 M with the adaptive grid, whose unknown
count no longer scales with them). Direct sparse solve up to 500 k
unknowns, AMG-preconditioned CG (pyamg) above — Jacobi-CG if pyamg is
missing. Discretization error typically ≲ 2 % at defaults — halve the
cell size and compare to judge convergence.
- **Adaptive cells** (dialog checkbox, **on by default**;
`ADAPTIVE_CELLS`):
solves on a 2:1-balanced quadtree — fine cells at copper boundaries,
electrodes, traces, via mouths and buildup, blocks up to
`ADAPTIVE_MAX_CELL_UM` (2 mm) in plane interiors (`ADAPTIVE_GUARD`
sets the clearance a block needs to grow). The **minimum element size
is the grid cell size itself** (auto / dialog / `CELL_UM_OVERRIDE`);
the uniform limit reproduces the normal grid exactly. Large
speed/memory wins on big pours. The raw coarsefine interface flux
bias (~0.52 % low) is removed by a **deferred-correction pass**
(`ADAPTIVE_CORRECTION_PASSES`, default 1: reconstruct leaf gradients,
move the tangential term to the RHS, re-solve on the reused
factorization/AMG hierarchy) — measured residual deviation from the
uniform grid ≲ 0.03 %, with the power-balance identity intact. All
fields are expanded back to the fine grid for the maps and reports.
## Offline / development
Every run writes `geometry_dump.json`; re-solve without KiCad:
```powershell
.venv\Scripts\python.exe -m fill_resistance.standalone dump.json `
[--current 40] [--cell-um 50] [--layers F.Cu,In1.Cu] [--no-show] `
[--out DIR] [--force-iterative]
```
Dev environment, tests, headless extraction (Windows shown; on
Linux/macOS use `.venv/bin/python`):
```powershell
uv venv --python 3.11 .venv
uv pip install --python .venv\Scripts\python.exe kicad-python numpy scipy pyamg matplotlib pytest
.venv\Scripts\python.exe -m pytest tests -q # incl. exact analytic cases
.venv\Scripts\python.exe tools\api_probe.py # IPC API probe vs live KiCad
.venv\Scripts\python.exe -m fill_resistance.board_io dump.json [NET] # extract only
```
## Packaging / publishing
`python tools/build_package.py` builds the PCM addon zip in `dist/`
(installable right away via Plugin and Content Manager → *Install from
File*) plus `dist/metadata-registry.json` with the SHA-256 and sizes
filled in. To publish: upload the zip to a release, set `download_url`
(and the `homepage` resource in `metadata.json`), then submit the
registry copy as `packages/th.co.b4l.fill-resistance/metadata.json` in a
merge request to <https://gitlab.com/kicad/addons/metadata>. Icons are
regenerated with `python tools/gen_icons.py`.
## License
GPL-3.0-or-later — see [LICENSE](LICENSE).
## Troubleshooting
- **No toolbar button**: venv still building (wait), or build failed →
*Recreate Plugin Environment*; check the interpreter path (setup 2).
- **"Could not connect to KiCad's IPC API"**: API server not enabled, or
KiCad not running (no headless mode in KiCad 10).
- **"KiCad is busy"**: a modal dialog is open in KiCad — close it, rerun.
- **Windows don't appear**: they may open behind KiCad (raised
best-effort); PNGs are always saved regardless.
- **Result seems too low/high**: remember the model is fills + barrels
only, with ideal contacts; measure electrode-to-electrode.