запущен проект motor identification c терминалкой
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260
motor_id_inverter/tools/fit_ad_params.py
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260
motor_id_inverter/tools/fit_ad_params.py
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#!/usr/bin/env python3
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"""Estimate induction-motor parameters from inverter self-commissioning CSV.
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The script intentionally uses only the Python standard library so it can run
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on an engineering workstation without installing SciPy/Numpy.
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"""
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from __future__ import annotations
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import csv
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import json
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import math
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import sys
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from dataclasses import dataclass
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from pathlib import Path
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from typing import Iterable
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EPS = 1e-12
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@dataclass
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class SweepPoint:
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freq_hz: float
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r_ohm: float
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x_ohm: float
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@dataclass
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class FitResult:
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rs_ohm: float
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rr_ohm: float
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lls_h: float
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llr_h: float
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lm_h: float
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rms_error_ohm: float
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def parse_float(row: dict[str, str], key: str) -> float | None:
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value = row.get(key, "")
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if value is None or value.strip() == "":
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return None
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return float(value)
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def load_rows(path: Path) -> list[dict[str, str]]:
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with path.open("r", encoding="utf-8-sig", newline="") as stream:
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return list(csv.DictReader(stream))
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def linear_fit(xs: Iterable[float], ys: Iterable[float]) -> tuple[float, float]:
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x = list(xs)
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y = list(ys)
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n = len(x)
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if n < 2:
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raise ValueError("linear fit needs at least two points")
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sx = sum(x)
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sy = sum(y)
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sxx = sum(v * v for v in x)
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sxy = sum(a * b for a, b in zip(x, y))
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den = n * sxx - sx * sx
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if abs(den) < EPS:
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raise ValueError("linear fit has degenerate x values")
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slope = (n * sxy - sx * sy) / den
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offset = (sy - slope * sx) / n
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return slope, offset
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def estimate_rs(rows: list[dict[str, str]]) -> tuple[float, float]:
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currents: list[float] = []
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voltages: list[float] = []
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for row in rows:
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if row.get("test") != "rs_dc":
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continue
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current = parse_float(row, "current_a")
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voltage = parse_float(row, "voltage_v")
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if current is None or voltage is None:
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continue
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currents.append(current)
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voltages.append(voltage)
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if len(currents) < 2:
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raise ValueError("need at least two rs_dc rows with current_a and voltage_v")
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rs, voltage_offset = linear_fit(currents, voltages)
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return max(rs, 0.0), voltage_offset
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def estimate_sweep(rows: list[dict[str, str]]) -> list[SweepPoint]:
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points: list[SweepPoint] = []
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for row in rows:
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if row.get("test") != "ac_sweep":
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continue
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freq = parse_float(row, "freq_hz")
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v_rms = parse_float(row, "v_rms")
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i_rms = parse_float(row, "i_rms")
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power = parse_float(row, "p_w")
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if freq is None or v_rms is None or i_rms is None or power is None:
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continue
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if freq <= 0.0 or i_rms <= EPS:
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continue
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z_abs = v_rms / i_rms
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r = power / (i_rms * i_rms)
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x_sq = max(z_abs * z_abs - r * r, 0.0)
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points.append(SweepPoint(freq_hz=freq, r_ohm=r, x_ohm=math.sqrt(x_sq)))
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if len(points) < 2:
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raise ValueError("need at least two ac_sweep rows with freq_hz, v_rms, i_rms, p_w")
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return points
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def estimate_lm_from_flux(rows: list[dict[str, str]], lls_h: float) -> float | None:
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values: list[float] = []
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for row in rows:
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if row.get("test") != "magnetizing":
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continue
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current = parse_float(row, "current_a")
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psi = parse_float(row, "psi_wb")
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if current is None or psi is None or abs(current) <= EPS:
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continue
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lm = psi / current - lls_h
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if lm > 0.0:
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values.append(lm)
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if not values:
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return None
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return sum(values) / len(values)
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def z_model(freq_hz: float, rs: float, rr: float, lls: float, llr: float, lm: float) -> complex:
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w = 2.0 * math.pi * freq_hz
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z_lm = 1j * w * lm
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z_rotor = rr + 1j * w * llr
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z_parallel = (z_lm * z_rotor) / (z_lm + z_rotor)
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return rs + 1j * w * lls + z_parallel
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def objective(points: list[SweepPoint], rs: float, rr: float, lls: float, llr: float, lm: float) -> float:
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err = 0.0
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for point in points:
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z = z_model(point.freq_hz, rs, rr, lls, llr, lm)
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scale = max(abs(complex(point.r_ohm, point.x_ohm)), 1e-3)
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dr = (z.real - point.r_ohm) / scale
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dx = (z.imag - point.x_ohm) / scale
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err += dr * dr + dx * dx
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return err / len(points)
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def initial_from_sweep(points: list[SweepPoint], rs: float, lm_hint: float | None) -> tuple[float, float, float, float]:
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r_slope, r0 = linear_fit([p.freq_hz for p in points], [p.r_ohm for p in points])
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_ = r_slope
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rr = max(r0 - rs, 1e-4)
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leakage_values = []
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for point in points:
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w = 2.0 * math.pi * point.freq_hz
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leakage_values.append(max(point.x_ohm / w, 1e-7))
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ll_total = sum(leakage_values) / len(leakage_values)
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lls = max(0.5 * ll_total, 1e-7)
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llr = max(0.5 * ll_total, 1e-7)
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lm = max(lm_hint if lm_hint is not None else 8.0 * ll_total, 5.0 * ll_total, 1e-6)
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return rr, lls, llr, lm
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def fit_t_model(points: list[SweepPoint], rs: float, lm_hint: float | None) -> FitResult:
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rr, lls, llr, lm = initial_from_sweep(points, rs, lm_hint)
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params = [rr, lls, llr, lm]
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factors = [2.0, 2.0, 2.0, 2.0]
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fitted_count = 3 if lm_hint is not None else 4
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best = objective(points, rs, *params)
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for _ in range(80):
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improved = False
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for idx in range(fitted_count):
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for direction in (1.0, -1.0):
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trial = params[:]
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factor = factors[idx] if direction > 0.0 else 1.0 / factors[idx]
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trial[idx] = max(trial[idx] * factor, 1e-9)
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score = objective(points, rs, *trial)
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if score < best:
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params = trial
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best = score
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improved = True
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if not improved:
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factors = [math.sqrt(f) for f in factors]
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if max(factors) < 1.005:
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break
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raw_error = 0.0
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for point in points:
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z = z_model(point.freq_hz, rs, *params)
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raw_error += (z.real - point.r_ohm) ** 2 + (z.imag - point.x_ohm) ** 2
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rms_error = math.sqrt(raw_error / len(points))
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return FitResult(
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rs_ohm=rs,
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rr_ohm=params[0],
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lls_h=params[1],
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llr_h=params[2],
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lm_h=params[3],
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rms_error_ohm=rms_error,
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)
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def derived(result: FitResult) -> dict[str, float]:
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ls = result.lm_h + result.lls_h
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lr = result.lm_h + result.llr_h
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sigma = 1.0 - (result.lm_h * result.lm_h) / max(ls * lr, EPS)
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tr = lr / result.rr_ohm if result.rr_ohm > EPS else math.inf
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return {
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"Ls_H": ls,
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"Lr_H": lr,
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"Ll_total_H": result.lls_h + result.llr_h,
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"sigma": sigma,
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"Tr_s": tr,
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}
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def main(argv: list[str]) -> int:
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if len(argv) != 2:
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print(f"usage: {Path(argv[0]).name} measurements.csv", file=sys.stderr)
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return 2
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rows = load_rows(Path(argv[1]))
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rs, voltage_offset = estimate_rs(rows)
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points = estimate_sweep(rows)
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rough_lls = initial_from_sweep(points, rs, None)[1]
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lm_hint = estimate_lm_from_flux(rows, rough_lls)
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fit = fit_t_model(points, rs, lm_hint)
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payload = {
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"parameters": {
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"Rs_ohm": fit.rs_ohm,
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"Rr_ohm": fit.rr_ohm,
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"Lls_H": fit.lls_h,
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"Llr_H": fit.llr_h,
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"Lm_H": fit.lm_h,
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**derived(fit),
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},
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"diagnostics": {
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"rs_voltage_offset_V": voltage_offset,
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"sweep_points": len(points),
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"t_model_rms_error_ohm": fit.rms_error_ohm,
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"lm_hint_used": lm_hint is not None,
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"note": "Use as commissioning seed; validate against current-loop response before enabling torque control.",
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},
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}
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print(json.dumps(payload, indent=2, ensure_ascii=False))
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return 0
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if __name__ == "__main__":
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raise SystemExit(main(sys.argv))
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