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Finds optimal hardware parameters that maximize (or minimize) a target metric
subject to constraints on other metrics.
Provides three optimizers:
- optimize(): L-BFGS-B single start (fast, may get trapped near flow cliff)
- multi_start_optimize(): LHS-sampled multi-start L-BFGS-B (better global coverage)
- differential_evolution_optimize(): DE global optimizer (most robust for cliff regions)
"""
from dataclasses import dataclass
from typing import Dict, List, Optional
import numpy as np
from scipy.optimize import minimize, differential_evolution
from scipy.stats import qmc
from cryosim.calibration.params import (
PARAM_NAMES, get_bounds, get_nominal_values, apply_overrides,
)
from cryosim.hardware.config import load_config
from cryosim.engine.fast import ICV_open
def _extract_metrics(out, hist):
return {
"mdot_kgpm": hist["mdot_kgpm"],
"mass_eff": float(out[1, 0]),
"Tc_peak_K": float(np.max(hist["Tc_K"])),
"kWh_extend": hist["kWh_extend"],
"pc_peak_barg": float(np.max(hist["pc"])),
}
def _parse_constraint(s: str):
s = s.strip()
if s.startswith(">="):
return ">=", float(s[2:])
elif s.startswith("<="):
return "<=", float(s[2:])
elif s.startswith(">"):
return ">", float(s[1:])
elif s.startswith("<"):
return "<", float(s[1:])
raise ValueError(f"Cannot parse constraint: '{s}'. Use '>X' or '<X'.")
def _check_constraint(value, op, threshold):
if op in (">", ">="):
return max(0.0, threshold - value)
return max(0.0, value - threshold)
# ---- Metric-name resolution ---------------------------------------------------
_METRIC_MAP = {
"mdot": "mdot_kgpm",
"mass_eff": "mass_eff",
"kWh": "kWh_extend",
"Tc_peak": "Tc_peak_K",
"stall_pressure": "stall_pressure",
"fill_time": "fill_time",
}
def _resolve_target(target: str):
"""Parse target string into (direction, metric_key).
Returns:
(direction, metric_key) where direction is -1.0 for max, +1.0 for min.
"""
if target.startswith("max_"):
metric_name = target[4:]
direction = -1.0
elif target.startswith("min_"):
metric_name = target[4:]
direction = 1.0
else:
raise ValueError(f"Target must start with 'max_' or 'min_', got '{target}'")
target_metric = _METRIC_MAP.get(metric_name, metric_name)
return direction, target_metric
# ---- Fill-level helpers -------------------------------------------------------
def _stall_pressure_with_overrides(cfg_override, speed, Ptank, Psat):
"""Compute stall pressure using a modified config.
Evaluates the single-cycle engine at 25 pressures from 50-950 bar and
interpolates the 0.05 kg/min crossing.
"""
args = cfg_override.to_engine_args()
pressures = np.linspace(50, 950, 25)
flows = np.zeros(len(pressures))
for i, P in enumerate(pressures):
try:
out, hist = ICV_open(
Pexit_barg=float(P), speed_f=speed,
Ptank_barg=Ptank, Psat_barg=Psat, **args,
)
flows[i] = max(0.0, hist["mdot_kgpm"])
except Exception:
flows[i] = 0.0
# Find where flow drops below 0.05 kg/min
threshold = 0.05
for i in range(len(pressures) - 1):
if flows[i] >= threshold and flows[i + 1] < threshold:
frac = (threshold - flows[i]) / (flows[i + 1] - flows[i])
return float(pressures[i] + frac * (pressures[i + 1] - pressures[i]))
# Never crossed: either always above or always below
if flows[-1] >= threshold:
return float(pressures[-1])
return 0.0
def _fill_time_proxy_with_overrides(cfg_override, speed, target_bar, Ptank, Psat):
"""Estimate fill time using stall pressure as a proxy.
A proper fill-time estimate would integrate 1/mdot(P) over the pressure
range, but that requires ~25 engine evaluations per objective call which
is too expensive inside an optimizer. Instead we use stall pressure as a
proxy: higher stall pressure means the pump can sustain flow to higher
pressures, which dominates fill time. The proxy value is negated stall
pressure so that minimizing fill_time is equivalent to maximizing stall
pressure. If the pump cannot reach the target pressure, returns a large
penalty value (1e6).
Returns:
Proxy fill time value (lower is better).
"""
stall_p = _stall_pressure_with_overrides(cfg_override, speed, Ptank, Psat)
if stall_p < target_bar:
return 1e6 # unreachable — huge penalty
return -stall_p # proxy: higher stall pressure -> lower (better) fill time
# ---- Objective builder --------------------------------------------------------
def _build_objective(
cfg, direction, target_metric, parsed_constraints, penalty_weight,
speed, Pexit, Ptank, Psat,
):
"""Build a closure that evaluates the objective for a parameter vector.
Returns:
(objective_fn, n_evals_counter) where n_evals_counter is a mutable list [count].
"""
n_evals = [0]
def objective(x):
n_evals[0] += 1
override_cfg = apply_overrides(cfg, list(x))
# --- fill-level objectives ---
if target_metric == "stall_pressure":
try:
stall_p = _stall_pressure_with_overrides(override_cfg, speed, Ptank, Psat)
except Exception:
return 1e6
obj = direction * stall_p
# No per-cycle metrics for constraints when using stall objective
for cmetric, (op, threshold) in parsed_constraints.items():
obj += penalty_weight * _check_constraint(0.0, op, threshold) ** 2
return obj
if target_metric == "fill_time":
try:
proxy = _fill_time_proxy_with_overrides(
override_cfg, speed, Pexit, Ptank, Psat,
)
except Exception:
return 1e6
obj = direction * proxy
return obj
# --- single-cycle objectives ---
args = override_cfg.to_engine_args()
try:
out, hist = ICV_open(
Pexit_barg=Pexit, speed_f=speed,
Ptank_barg=Ptank, Psat_barg=Psat, **args,
)
metrics = _extract_metrics(out, hist)
except Exception:
return 1e6
obj = direction * metrics.get(target_metric, 0.0)
for cmetric, (op, threshold) in parsed_constraints.items():
violation = _check_constraint(metrics.get(cmetric, 0.0), op, threshold)
obj += penalty_weight * violation ** 2
return obj
return objective, n_evals
def _evaluate_final(cfg, x, speed, Pexit, Ptank, Psat, target_metric):
"""Run the final evaluation to get metrics and target value for the result."""
final_cfg = apply_overrides(cfg, list(x))
if target_metric == "stall_pressure":
try:
stall_p = _stall_pressure_with_overrides(final_cfg, speed, Ptank, Psat)
return {"stall_pressure": stall_p}, stall_p
except Exception:
return {}, 0.0
if target_metric == "fill_time":
try:
stall_p = _stall_pressure_with_overrides(final_cfg, speed, Ptank, Psat)
proxy = -stall_p
return {"fill_time_proxy": proxy, "stall_pressure": stall_p}, proxy
except Exception:
return {}, 0.0
final_args = final_cfg.to_engine_args()
try:
out, hist = ICV_open(
Pexit_barg=Pexit, speed_f=speed,
Ptank_barg=Ptank, Psat_barg=Psat, **final_args,
)
final_metrics = _extract_metrics(out, hist)
except Exception:
final_metrics = {}
return final_metrics, final_metrics.get(target_metric, 0.0)
@dataclass
class OptimizationResult:
optimal_values: List[float]
param_names: List[str]
optimal_metrics: Dict[str, float]
target: str
target_value: float
constraints: Dict[str, str]
constraints_satisfied: bool
base_hardware: str
n_evals: int
converged: bool
def __repr__(self):
status = "OK" if self.constraints_satisfied else "VIOLATED"
return (
f"OptimizationResult({self.target}={self.target_value:.4f}, "
f"constraints={status}, {self.n_evals} evals)"
)
def optimize(
hardware: str = "old_icv",
target: str = "max_mdot",
speed: float = 0.65,
Pexit: float = 500.0,
constraints: Optional[Dict[str, str]] = None,
Ptank: float = 7.0,
Psat: float = 2.0,
maxiter: int = 50,
maxfun: Optional[int] = None,
penalty_weight: float = 1000.0,
) -> OptimizationResult:
"""Find optimal hardware parameters subject to constraints using L-BFGS-B.
A single-start local optimizer. For problems near the flow cliff
discontinuity, consider ``multi_start_optimize`` or
``differential_evolution_optimize`` which are more robust to local minima.
Minimum recommended ``maxiter`` is 30.
Args:
hardware: Base config name.
target: "max_mdot", "max_mass_eff", "min_kWh", "min_Tc_peak",
"max_stall_pressure", "min_fill_time"
speed, Pexit: Operating conditions.
constraints: e.g. {"Tc_peak_K": "<200", "mass_eff": ">0.1"}
maxiter: Max optimizer iterations.
maxfun: Max function evaluations (default: maxiter * 15).
penalty_weight: Penalty multiplier for constraint violations.
"""
constraints = constraints or {}
cfg = load_config(hardware)
direction, target_metric = _resolve_target(target)
parsed_constraints = {}
for cmetric, cstr in constraints.items():
op, val = _parse_constraint(cstr)
parsed_constraints[cmetric] = (op, val)
effective_maxfun = maxfun or maxiter * 15
objective, n_evals = _build_objective(
cfg, direction, target_metric, parsed_constraints, penalty_weight,
speed, Pexit, Ptank, Psat,
)
x0 = get_nominal_values(hardware)
bounds = get_bounds()
result = minimize(
objective, x0=x0, method="L-BFGS-B", bounds=bounds,
options={"maxiter": maxiter, "maxfun": effective_maxfun, "ftol": 1e-8},
)
final_metrics, target_value = _evaluate_final(
cfg, result.x, speed, Pexit, Ptank, Psat, target_metric,
)
all_satisfied = True
for cmetric, (op, threshold) in parsed_constraints.items():
if _check_constraint(final_metrics.get(cmetric, 0.0), op, threshold) > 1e-6:
all_satisfied = False
return OptimizationResult(
optimal_values=list(result.x),
param_names=list(PARAM_NAMES),
optimal_metrics=final_metrics,
target=target,
target_value=target_value,
constraints=constraints,
constraints_satisfied=all_satisfied,
base_hardware=hardware,
n_evals=n_evals[0],
converged=result.success,
)
def multi_start_optimize(
hardware: str = "old_icv",
target: str = "max_mdot",
speed: float = 0.65,
Pexit: float = 500.0,
constraints: Optional[Dict[str, str]] = None,
Ptank: float = 7.0,
Psat: float = 2.0,
n_starts: int = 5,
maxiter: int = 30,
seed: Optional[int] = None,
) -> OptimizationResult:
"""Multi-start L-BFGS-B optimization with Latin Hypercube Sampling.
Generates ``n_starts`` starting points spread across the parameter space
via LHS, runs L-BFGS-B from each, and returns the best result.
This is more robust than single-start ``optimize()`` near the flow cliff
discontinuity where L-BFGS-B tends to get trapped.
Args:
hardware: Base config name.
target: "max_mdot", "max_mass_eff", "min_kWh", "min_Tc_peak",
"max_stall_pressure", "min_fill_time"
speed, Pexit: Operating conditions.
constraints: e.g. {"Tc_peak_K": "<200", "mass_eff": ">0.1"}
n_starts: Number of starting points to sample.
maxiter: Max L-BFGS-B iterations per start.
seed: Random seed for reproducibility.
"""
constraints = constraints or {}
cfg = load_config(hardware)
direction, target_metric = _resolve_target(target)
parsed_constraints = {}
for cmetric, cstr in constraints.items():
op, val = _parse_constraint(cstr)
parsed_constraints[cmetric] = (op, val)
bounds = get_bounds()
n_params = len(bounds)
effective_maxfun = maxiter * 15
# Generate LHS starting points across parameter bounds
sampler = qmc.LatinHypercube(d=n_params, seed=seed)
samples = sampler.random(n=n_starts)
lower = np.array([b[0] for b in bounds])
upper = np.array([b[1] for b in bounds])
start_points = qmc.scale(samples, lower, upper)
best_result = None
best_obj = 1e6
total_evals = 0
for i in range(n_starts):
objective, n_evals = _build_objective(
cfg, direction, target_metric, parsed_constraints, 1000.0,
speed, Pexit, Ptank, Psat,
)
result = minimize(
objective, x0=start_points[i], method="L-BFGS-B", bounds=bounds,
options={"maxiter": maxiter, "maxfun": effective_maxfun, "ftol": 1e-8},
)
total_evals += n_evals[0]
if result.fun < best_obj:
best_obj = result.fun
best_result = result
if best_result is None:
# Fallback: shouldn't happen unless n_starts=0
best_result = minimize(
lambda x: 1e6, x0=get_nominal_values(hardware),
method="L-BFGS-B", bounds=bounds, options={"maxiter": 1},
)
total_evals = 0
final_metrics, target_value = _evaluate_final(
cfg, best_result.x, speed, Pexit, Ptank, Psat, target_metric,
)
all_satisfied = True
for cmetric, (op, threshold) in parsed_constraints.items():
if _check_constraint(final_metrics.get(cmetric, 0.0), op, threshold) > 1e-6:
all_satisfied = False
return OptimizationResult(
optimal_values=list(best_result.x),
param_names=list(PARAM_NAMES),
optimal_metrics=final_metrics,
target=target,
target_value=target_value,
constraints=constraints,
constraints_satisfied=all_satisfied,
base_hardware=hardware,
n_evals=total_evals,
converged=best_result.success,
)
def differential_evolution_optimize(
hardware: str = "old_icv",
target: str = "max_mdot",
speed: float = 0.65,
Pexit: float = 500.0,
constraints: Optional[Dict[str, str]] = None,
Ptank: float = 7.0,
Psat: float = 2.0,
maxiter: int = 30,
seed: Optional[int] = None,
penalty_weight: float = 1000.0,
) -> OptimizationResult:
"""Global optimization via Differential Evolution.
Uses ``scipy.optimize.differential_evolution`` which maintains a population
of candidate solutions and is much less likely to get trapped by the flow
cliff discontinuity than gradient-based methods.
Args:
hardware: Base config name.
target: "max_mdot", "max_mass_eff", "min_kWh", "min_Tc_peak",
"max_stall_pressure", "min_fill_time"
speed, Pexit: Operating conditions.
constraints: e.g. {"Tc_peak_K": "<200", "mass_eff": ">0.1"}
maxiter: Max DE generations.
seed: Random seed for reproducibility.
penalty_weight: Penalty multiplier for constraint violations.
"""
constraints = constraints or {}
cfg = load_config(hardware)
direction, target_metric = _resolve_target(target)
parsed_constraints = {}
for cmetric, cstr in constraints.items():
op, val = _parse_constraint(cstr)
parsed_constraints[cmetric] = (op, val)
objective, n_evals = _build_objective(
cfg, direction, target_metric, parsed_constraints, penalty_weight,
speed, Pexit, Ptank, Psat,
)
bounds = get_bounds()
result = differential_evolution(
objective, bounds=bounds, maxiter=maxiter, seed=seed,
tol=1e-8, polish=True,
)
final_metrics, target_value = _evaluate_final(
cfg, result.x, speed, Pexit, Ptank, Psat, target_metric,
)
all_satisfied = True
for cmetric, (op, threshold) in parsed_constraints.items():
if _check_constraint(final_metrics.get(cmetric, 0.0), op, threshold) > 1e-6:
all_satisfied = False
return OptimizationResult(
optimal_values=list(result.x),
param_names=list(PARAM_NAMES),
optimal_metrics=final_metrics,
target=target,
target_value=target_value,
constraints=constraints,
constraints_satisfied=all_satisfied,
base_hardware=hardware,
n_evals=n_evals[0],
converged=result.success,
)
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