# Fill Resistance — KiCad 10 plugin Computes the **DC or AC resistance of copper zone fills** between two contacts, **single- or multi-layer**: the chosen net's fills 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 `\fill_res_results\\`: 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; capped vs uncapped does not change the layer-to-layer DC path (the ≥5 µm cap sits over the hole mouth in parallel with the annular-ring contact, not in series). 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. - Tracks and pad copper (other than the selected contacts) are **not** part of the conductor model — zone fills + barrels only. - **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. - 5-point FDM per layer on an auto-sized shared grid (~2 M cells total across layers by default). 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. ## 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 . Icons are regenerated with `python tools/gen_icons.py`. ## License GPL-3.0-or-later — see [LICENSE.txt](LICENSE.txt). ## 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.