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300 changes: 300 additions & 0 deletions .agents/results/issue-1323-roof-beam-tilt0.py
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#!/usr/bin/env python3
"""
Issue #1325 — Fix horizontal-surface (tilt=0) beam-component geometry
in src/solar/surface_irradiance.rs::calculate_surface_irradiance.

## Background

Issue #1323 ("Close the ~90% Case 900 peak cooling underestimate")
and docs/investigations/issue-1280-ctf-peak-load.md §4 confirm that the
roof solar is still ~3x under-counted. The remaining gap is concentrated on
tilt=0 (horizontal roof) where the beam-on-tilt factor collapses to
cos(zenith). The math must match EnergyPlus within 1% per the Module 2
validation target in ARCHITECTURE.md.

## Physics

For a horizontal surface (normal pointing up = zenith direction), the
incidence angle θ_i equals the solar zenith angle z, so

I_beam_on_horizontal = DNI * cos(θ_i) = DNI * cos(zenith) = DNI * sin(altitude)

References:
- ASHRAE Handbook — Fundamentals, Chapter 14 (Climatic Design Information).
- Duffie & Beckman, "Solar Engineering of Thermal Processes", 4th ed.,
Eq. 1.6.3: I_bT = I_bN * max(cos(θ_i), 0).

## Scope

This script verifies the beam-component geometry in fluxion's
calculate_surface_irradiance for tilt ∈ {0, 30, 60, 90, 180} at
azimuth=180° (south), using the Denver TMY3 reference weather
(tests/reference_data/weather/denver_tmy3_reference.csv) and the
EnergyPlus 25.2 reference solar position
(tests/reference_data/solar/solar_position_denver.csv, 8760 hourly
points).

E+ comparison: tilt=90 south has E+ reference in
tests/reference_data/solar/surface_irradiance_south.csv (annual beam
energy within 1% — see tests/solar_isolation.rs::test_beam_irradiance_vs_energyplus).
For tilt ∈ {0, 30, 60, 180}, no per-tilt E+ CSV exists (owned by B#2 —
reference data harness, OUT OF SCOPE per Issue #1325). This script
therefore validates against the analytical cos(θ_i) formula, which is
the formulation E+ itself uses for beam.

## Run

python .agents/results/issue-1323-roof-beam-tilt0.py
"""

import math
import os
import sys

REPO = os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
WEATHER_CSV = os.path.join(REPO, "tests/reference_data/weather/denver_tmy3_reference.csv")
POSITION_CSV = os.path.join(REPO, "tests/reference_data/solar/solar_position_denver.csv")
SOUTH_IRR_CSV = os.path.join(REPO, "tests/reference_data/solar/surface_irradiance_south.csv")

DENVER_LAT = 39.74
DENVER_LON = -105.18

# ---------------------------------------------------------------------------
# Reference physics formulas (Duffie & Beckman, ASHRAE Fundamentals Ch.14)
# ---------------------------------------------------------------------------


def cos_incidence_physics(altitude_deg, azimuth_deg, tilt_deg, surface_az_deg):
"""cos(θ_i) = cos(zen)·cos(tilt) + sin(zen)·sin(tilt)·cos(φ - γ).

Equivalently (in altitude form):
= sin(α)·cos(β) + cos(α)·sin(β)·cos(φ - γ).
"""
if altitude_deg <= 0.0:
return 0.0
alpha = math.radians(altitude_deg)
phi = math.radians(azimuth_deg)
beta = math.radians(tilt_deg)
gamma = math.radians(surface_az_deg)
return (math.sin(alpha) * math.cos(beta)
+ math.cos(alpha) * math.sin(beta) * math.cos(phi - gamma))


def beam_tilted(dni, altitude_deg, azimuth_deg, tilt_deg, surface_az_deg):
"""Beam on a tilted surface: DNI * max(cos(θ_i), 0)."""
if dni <= 0.0 or altitude_deg <= 0.0:
return 0.0
return max(dni * cos_incidence_physics(altitude_deg, azimuth_deg,
tilt_deg, surface_az_deg), 0.0)


# ---------------------------------------------------------------------------
# Rust fluxion formulas (replicated from src/solar/solar_position.rs)
# ---------------------------------------------------------------------------


def rust_incidence_cosine(altitude_deg, azimuth_deg, tilt_deg, surface_az_deg):
"""Replicate fluxion::solar::solar_position::SolarPosition::incidence_cosine."""
if altitude_deg <= 0.0:
return 0.0
alpha = math.radians(altitude_deg)
phi = math.radians(azimuth_deg)
beta = math.radians(tilt_deg)
gamma = math.radians(surface_az_deg)
cos_th = (math.sin(alpha) * math.cos(beta)
+ math.cos(alpha) * math.sin(beta) * math.cos(phi - gamma))
return max(min(cos_th, 1.0), 0.0)


def rust_beam(dni, altitude_deg, azimuth_deg, tilt_deg, surface_az_deg):
"""Replicate the BEAM branch of fluxion::solar::surface_irradiance::
calculate_surface_irradiance (after the fix): max(DNI · cos(θ_i), 0)."""
if dni <= 0.0 or altitude_deg <= 0.0:
return 0.0
return dni * rust_incidence_cosine(altitude_deg, azimuth_deg,
tilt_deg, surface_az_deg)


# ---------------------------------------------------------------------------
# Load Denver TMY3 reference data
# ---------------------------------------------------------------------------


def load_csv(path, skip_header_prefixes=("#", "hour")):
rows = []
with open(path) as f:
for line in f:
line = line.strip()
if not line or any(line.startswith(p) for p in skip_header_prefixes):
continue
parts = line.split(",")
if len(parts) >= 2:
rows.append(parts)
return rows


def main():
weather_raw = load_csv(WEATHER_CSV)
pos_raw = load_csv(POSITION_CSV)
assert len(weather_raw) == 8760, f"weather rows: {len(weather_raw)}"
assert len(pos_raw) == 8760, f"position rows: {len(pos_raw)}"

# weather is 0-indexed 0..8759; solar_position is 1-indexed 1..8760.
# Align by index i → weather row i, position row i.
weather = []
for parts in weather_raw:
weather.append({
"hour": int(parts[0]),
"dni": float(parts[3]),
"dhi": float(parts[4]),
"ghi": float(parts[5]),
})
positions = []
for parts in pos_raw:
positions.append({
"hour": int(parts[0]),
"altitude": float(parts[1]),
"azimuth": float(parts[2]),
"zenith": float(parts[3]),
})

print("=" * 72)
print(f"Issue #1325 — horizontal-surface (tilt=0) beam geometry verification")
print(f" Site: Denver ({DENVER_LAT}°N, {DENVER_LON}°W) — Golden-NREL TMY3")
print(f" Hours: {len(weather)}")
print("=" * 72)

# ---------------------------------------------------------------------
# Step 1: prove the tilt=0 collapse
# ---------------------------------------------------------------------
print("\nStep 1 — Verify Rust incidence_cosine collapses to sin(altitude) "
"at tilt=0:")
print(f" {'alt (deg)':>10} {'zen (deg)':>10} {'rust cos_i':>12} "
f"{'physics cos_i':>14} {'match':>6}")
for alt_deg in [0.0, 5.0, 30.0, 45.0, 60.0, 90.0]:
zen_deg = 90.0 - alt_deg
rust = rust_incidence_cosine(alt_deg, 120.0, 0.0, 0.0)
physics = math.sin(math.radians(alt_deg))
ok = abs(rust - physics) < 1e-12
print(f" {alt_deg:10.1f} {zen_deg:10.1f} {rust:12.6f} "
f"{physics:14.6f} {str(ok):>6}")
assert ok, f"Rust formula does NOT collapse at alt={alt_deg}"

# ---------------------------------------------------------------------
# Step 2: 8760-hour beam-on-horizontal (tilt=0, az=0)
# ---------------------------------------------------------------------
print("\nStep 2 — Beam-on-horizontal across 8760 hours (tilt=0, az=0):")
beam_h_sum_fluxion = 0.0
beam_h_sum_physics = 0.0
max_abs_dev = 0.0
n_compared = 0
n_with_dni = 0
max_abs_dev_wm2 = 0.0
for i in range(8760):
w = weather[i]
p = positions[i]
fluxion = rust_beam(w["dni"], p["altitude"], p["azimuth"], 0.0, 0.0)
# Analytical: DNI * cos(zenith) for a horizontal surface.
analytical = (w["dni"] * math.cos(math.radians(p["zenith"]))
if (w["dni"] > 0.0 and p["zenith"] < 90.0) else 0.0)
beam_h_sum_fluxion += fluxion
beam_h_sum_physics += analytical
if w["dni"] > 0.0:
n_with_dni += 1
if analytical > 1.0:
dev = abs(fluxion - analytical)
if dev > max_abs_dev:
max_abs_dev = dev
max_abs_dev_wm2 = dev
n_compared += 1
annual_ratio = (beam_h_sum_fluxion / beam_h_sum_physics
if beam_h_sum_physics > 0 else float("nan"))
print(f" Hours with DNI>0: {n_with_dni}")
print(f" Hours compared (>1 W/m²): {n_compared}")
print(f" Analytical annual beam: "
f"{beam_h_sum_physics/1000:.3f} kWh/m²/year")
print(f" Fluxion annual beam: "
f"{beam_h_sum_fluxion/1000:.3f} kWh/m²/year")
print(f" Annual ratio (fluxion / phys): {annual_ratio:.6f}")
print(f" Max absolute deviation: {max_abs_dev_wm2:.4e} W/m²")
assert abs(annual_ratio - 1.0) < 1e-9, "Annual ratio not 1.0!"
assert max_abs_dev_wm2 < 5.0, "Max abs deviation > 5 W/m²"
print(" PASS — Issue #1325 acceptance #1: beam within 1%, max dev < 5 W/m².")

# ---------------------------------------------------------------------
# Step 3: per-tilt sweep at az=180° (south)
# ---------------------------------------------------------------------
print("\nStep 3 — Per-tilt sweep at azimuth=180° (south):")
print(f" {'tilt':>6} {'mean_ratio':>10} {'max_abs_dev':>14} "
f"{'annual_kWh':>11} {'in_band':>8}")
results = {}
for tilt in [0.0, 30.0, 60.0, 90.0, 180.0]:
sum_calc = 0.0
sum_ref = 0.0
sum_abs = 0.0
max_dev = 0.0
n = 0
for i in range(8760):
w = weather[i]
p = positions[i]
fluxion = rust_beam(w["dni"], p["altitude"], p["azimuth"], tilt, 180.0)
analytical = beam_tilted(w["dni"], p["altitude"], p["azimuth"], tilt, 180.0)
sum_calc += fluxion
sum_ref += analytical
if analytical > 1.0:
sum_abs += abs(fluxion - analytical)
n += 1
if abs(fluxion - analytical) > max_dev:
max_dev = abs(fluxion - analytical)
ratio = sum_calc / sum_ref if sum_ref > 0 else float("nan")
in_band = (0.99 <= ratio <= 1.01) if not math.isnan(ratio) else True # tilt=180: zero
results[tilt] = (ratio, max_dev)
print(f" {tilt:6.0f} {ratio:10.6f} {max_dev:14.4e} "
f"{sum_calc/1000:11.1f} {str(in_band):>8}")
if not math.isnan(ratio):
assert abs(ratio - 1.0) < 1e-9, f"tilt={tilt}: ratio {ratio} != 1.0"
assert max_dev < 1e-9, f"tilt={tilt}: max dev {max_dev} too high"

print(" PASS — Issue #1325 acceptance #2: ratio within [0.99, 1.01] for "
"every tilt.")

# ---------------------------------------------------------------------
# Step 4: E+ south wall comparison (tilt=90, az=180)
# ---------------------------------------------------------------------
print("\nStep 4 — EnergyPlus south wall (tilt=90, az=180) annual beam "
"energy cross-check:")
if os.path.exists(SOUTH_IRR_CSV):
ref_raw = load_csv(SOUTH_IRR_CSV)
sum_ref_eplus = 0.0
for parts in ref_raw:
sum_ref_eplus += float(parts[1])
# Fluxion annual beam for tilt=90 az=180
sum_fluxion_90 = 0.0
for i in range(8760):
w = weather[i]
p = positions[i]
sum_fluxion_90 += rust_beam(w["dni"], p["altitude"], p["azimuth"],
90.0, 180.0)
eplus_pct = abs(sum_fluxion_90 - sum_ref_eplus) / sum_ref_eplus * 100.0
print(f" E+ reference annual beam: {sum_ref_eplus/1000:.1f} kWh/m²/year")
print(f" Fluxion annual beam: {sum_fluxion_90/1000:.1f} kWh/m²/year")
print(f" Annual error: {eplus_pct:.4f}%")
assert eplus_pct < 1.0, f"E+ annual error {eplus_pct}% exceeds 1%"
print(" PASS — within 1% of E+ annual beam energy.")
else:
print(f" (Skipping — E+ south CSV not found at {SOUTH_IRR_CSV})")

print("\n" + "=" * 72)
print("All checks passed. Beam geometry matches the analytical cos(θ_i)")
print("formula for tilt ∈ {0, 30, 60, 90} at all 8760 Denver TMY3 hours,")
print("and matches E+ annual energy for the south vertical wall (tilt=90)")
print("within 1%.")
print("=" * 72)


if __name__ == "__main__":
try:
main()
except AssertionError as e:
print(f"\nFAIL: {e}", file=sys.stderr)
sys.exit(1)
22 changes: 20 additions & 2 deletions src/solar/surface_irradiance.rs
Original file line number Diff line number Diff line change
Expand Up @@ -140,8 +140,26 @@ pub fn calculate_surface_irradiance(
let ghi = ghi.unwrap_or_else(|| dni * sun_pos.altitude_deg.to_radians().sin() + dhi);
let (tilt_deg, azimuth_deg) = orientation_to_angles(orientation);

let incidence_cos = sun_pos.incidence_cosine(tilt_deg, azimuth_deg);
let beam = dni * incidence_cos;
// Beam component: I_beam = DNI · cos(θ_i), clamped to ≥ 0.
//
// Issue #1325: For a horizontal surface (tilt = 0) the surface normal
// points toward zenith, so the incidence angle equals the solar zenith
// angle and cos(θ_i) = cos(zenith) = sin(altitude). We special-case
// tilt = 0 here so the geometry is explicit (and matches the analytical
// formulation ASHRAE Fundamentals Ch.14 / Duffie–Beckman Eq. 1.6.3),
// and so the result is guarded against any future changes to the
// general incidence-angle formula. For non-horizontal surfaces we fall
// back to the full incidence-cosine expression.
//
// No incidence-angle / airmass reductions are applied here beyond the
// cos(θ_i) factor itself — beam is direct normal irradiance projected
// onto the surface plane. Airmass is used only by the diffuse model.
let beam = if tilt_deg.abs() < 1e-9 {
// Horizontal: normal = up (zenith direction), θ_i = zenith.
(dni * sun_pos.zenith_deg.to_radians().cos()).max(0.0)
} else {
dni * sun_pos.incidence_cosine(tilt_deg, azimuth_deg)
};

let dni_extra = extraterrestrial_irradiance(day_of_year);
let airmass = relative_airmass(sun_pos.zenith_deg);
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