""" Shared calculation functions module for HVAC Load Calculator. This module implements common heat transfer calculations used in both cooling and heating load calculations. """ from typing import Dict, List, Any, Optional, Tuple import math import numpy as np import pandas as pd import os # Import data models and utilities from data.building_components import Wall, Roof, Floor, Window, Door, Orientation from utils.psychrometrics import Psychrometrics # Define constants STEFAN_BOLTZMANN_CONSTANT = 5.67e-8 # W/(m²·K⁴) SOLAR_CONSTANT = 1367 # W/m² EARTH_TILT_ANGLE = 23.45 # degrees class HeatTransfer: """Class for shared heat transfer calculations.""" @staticmethod def conduction_heat_transfer(u_value: float, area: float, delta_t: float) -> float: """ Calculate conduction heat transfer through a building component. Args: u_value: U-value of the component in W/(m²·K) area: Area of the component in m² delta_t: Temperature difference across the component in K (or °C) Returns: Heat transfer rate in W """ return u_value * area * delta_t @staticmethod def convection_heat_transfer(h_c: float, area: float, delta_t: float) -> float: """ Calculate convection heat transfer. Args: h_c: Convection heat transfer coefficient in W/(m²·K) area: Surface area in m² delta_t: Temperature difference between surface and fluid in K (or °C) Returns: Heat transfer rate in W """ return h_c * area * delta_t @staticmethod def radiation_heat_transfer(emissivity: float, area: float, t_surface: float, t_surroundings: float) -> float: """ Calculate radiation heat transfer. Args: emissivity: Surface emissivity (0-1) area: Surface area in m² t_surface: Surface temperature in K t_surroundings: Surroundings temperature in K Returns: Heat transfer rate in W """ return emissivity * STEFAN_BOLTZMANN_CONSTANT * area * (t_surface**4 - t_surroundings**4) @staticmethod def infiltration_heat_transfer(flow_rate: float, delta_t: float, density: float = 1.2, specific_heat: float = 1006) -> float: """ Calculate sensible heat transfer due to infiltration or ventilation. Args: flow_rate: Volumetric flow rate in m³/s delta_t: Temperature difference between indoor and outdoor air in K (or °C) density: Air density in kg/m³ (default: 1.2 kg/m³) specific_heat: Specific heat capacity of air in J/(kg·K) (default: 1006 J/(kg·K)) Returns: Heat transfer rate in W """ return flow_rate * density * specific_heat * delta_t @staticmethod def infiltration_latent_heat_transfer(flow_rate: float, delta_w: float, density: float = 1.2, latent_heat: float = 2501000) -> float: """ Calculate latent heat transfer due to infiltration or ventilation. Args: flow_rate: Volumetric flow rate in m³/s delta_w: Humidity ratio difference between indoor and outdoor air in kg/kg density: Air density in kg/m³ (default: 1.2 kg/m³) latent_heat: Latent heat of vaporization in J/kg (default: 2501000 J/kg) Returns: Heat transfer rate in W """ return flow_rate * density * latent_heat * delta_w @staticmethod def air_exchange_rate_to_flow_rate(ach: float, volume: float) -> float: """ Convert air changes per hour to volumetric flow rate. Args: ach: Air changes per hour (1/h) volume: Room or building volume in m³ Returns: Volumetric flow rate in m³/s """ return ach * volume / 3600 @staticmethod def flow_rate_to_air_exchange_rate(flow_rate: float, volume: float) -> float: """ Convert volumetric flow rate to air changes per hour. Args: flow_rate: Volumetric flow rate in m³/s volume: Room or building volume in m³ Returns: Air changes per hour (1/h) """ return flow_rate * 3600 / volume @staticmethod def crack_method_infiltration(crack_length: float, coefficient: float, pressure_difference: float, exponent: float = 0.65) -> float: """ Calculate infiltration using the crack method. Args: crack_length: Length of cracks in m coefficient: Flow coefficient in m³/(s·m·Pa^n) pressure_difference: Pressure difference in Pa exponent: Flow exponent (default: 0.65) Returns: Infiltration flow rate in m³/s """ return coefficient * crack_length * pressure_difference**exponent @staticmethod def wind_pressure_difference(wind_speed: float, wind_coefficient: float, density: float = 1.2) -> float: """ Calculate pressure difference due to wind. Args: wind_speed: Wind speed in m/s wind_coefficient: Wind pressure coefficient (dimensionless) density: Air density in kg/m³ (default: 1.2 kg/m³) Returns: Pressure difference in Pa """ return 0.5 * density * wind_speed**2 * wind_coefficient @staticmethod def stack_pressure_difference(height: float, indoor_temp: float, outdoor_temp: float, neutral_plane_height: float = None, gravity: float = 9.81) -> float: """ Calculate pressure difference due to stack effect. Args: height: Height from reference level in m indoor_temp: Indoor temperature in K outdoor_temp: Outdoor temperature in K neutral_plane_height: Height of neutral pressure plane in m (default: half of height) gravity: Acceleration due to gravity in m/s² (default: 9.81 m/s²) Returns: Pressure difference in Pa """ if neutral_plane_height is None: neutral_plane_height = height / 2 # Calculate pressure difference return gravity * (height - neutral_plane_height) * (outdoor_temp - indoor_temp) / outdoor_temp @staticmethod def combined_pressure_difference(wind_pd: float, stack_pd: float) -> float: """ Calculate combined pressure difference from wind and stack effects. Args: wind_pd: Pressure difference due to wind in Pa stack_pd: Pressure difference due to stack effect in Pa Returns: Combined pressure difference in Pa """ # Simple quadrature combination return math.sqrt(wind_pd**2 + stack_pd**2) @staticmethod def solar_declination(day_of_year: int) -> float: """ Calculate solar declination angle. Args: day_of_year: Day of the year (1-365) Returns: Solar declination angle in degrees """ return EARTH_TILT_ANGLE * math.sin(2 * math.pi * (day_of_year - 81) / 365) @staticmethod def solar_hour_angle(solar_time: float) -> float: """ Calculate solar hour angle. Args: solar_time: Solar time in hours (0-24) Returns: Solar hour angle in degrees """ return 15 * (solar_time - 12) @staticmethod def solar_altitude(latitude: float, declination: float, hour_angle: float) -> float: """ Calculate solar altitude angle. Args: latitude: Latitude in degrees declination: Solar declination angle in degrees hour_angle: Solar hour angle in degrees Returns: Solar altitude angle in degrees """ # Convert angles to radians lat_rad = math.radians(latitude) decl_rad = math.radians(declination) hour_rad = math.radians(hour_angle) # Calculate solar altitude sin_altitude = (math.sin(lat_rad) * math.sin(decl_rad) + math.cos(lat_rad) * math.cos(decl_rad) * math.cos(hour_rad)) return math.degrees(math.asin(sin_altitude)) @staticmethod def solar_azimuth(latitude: float, declination: float, hour_angle: float, altitude: float) -> float: """ Calculate solar azimuth angle. Args: latitude: Latitude in degrees declination: Solar declination angle in degrees hour_angle: Solar hour angle in degrees altitude: Solar altitude angle in degrees Returns: Solar azimuth angle in degrees (0° = South, positive westward) """ # Convert angles to radians lat_rad = math.radians(latitude) decl_rad = math.radians(declination) hour_rad = math.radians(hour_angle) alt_rad = math.radians(altitude) # Calculate solar azimuth cos_azimuth = ((math.sin(decl_rad) * math.cos(lat_rad) - math.cos(decl_rad) * math.sin(lat_rad) * math.cos(hour_rad)) / math.cos(alt_rad)) # Limit cos_azimuth to [-1, 1] to avoid domain errors cos_azimuth = max(-1.0, min(1.0, cos_azimuth)) # Calculate azimuth angle azimuth = math.degrees(math.acos(cos_azimuth)) # Adjust for morning hours (negative hour angle) if hour_angle < 0: azimuth = -azimuth # Convert to compass bearing (0° = South, positive westward) return azimuth @staticmethod def incident_angle(surface_tilt: float, surface_azimuth: float, solar_altitude: float, solar_azimuth: float) -> float: """ Calculate angle of incidence on a surface. Args: surface_tilt: Surface tilt angle from horizontal in degrees (0° = horizontal, 90° = vertical) surface_azimuth: Surface azimuth angle in degrees (0° = South, positive westward) solar_altitude: Solar altitude angle in degrees solar_azimuth: Solar azimuth angle in degrees (0° = South, positive westward) Returns: Angle of incidence in degrees """ # Convert angles to radians surf_tilt_rad = math.radians(surface_tilt) surf_azim_rad = math.radians(surface_azimuth) solar_alt_rad = math.radians(solar_altitude) solar_azim_rad = math.radians(solar_azimuth) # Calculate cosine of incident angle cos_incident = (math.cos(solar_alt_rad) * math.cos(solar_azim_rad - surf_azim_rad) * math.sin(surf_tilt_rad) + math.sin(solar_alt_rad) * math.cos(surf_tilt_rad)) # Limit cos_incident to [-1, 1] to avoid domain errors cos_incident = max(-1.0, min(1.0, cos_incident)) # Calculate incident angle incident_angle = math.degrees(math.acos(cos_incident)) return incident_angle @staticmethod def direct_normal_irradiance(altitude: float, atmospheric_extinction: float = 0.14) -> float: """ Calculate direct normal irradiance. Args: altitude: Solar altitude angle in degrees atmospheric_extinction: Atmospheric extinction coefficient (default: 0.14) Returns: Direct normal irradiance in W/m² """ if altitude <= 0: return 0 # Calculate air mass air_mass = 1 / math.sin(math.radians(altitude)) # Calculate direct normal irradiance return SOLAR_CONSTANT * math.exp(-atmospheric_extinction * air_mass) @staticmethod def diffuse_horizontal_irradiance(direct_normal: float, altitude: float, clearness_factor: float = 1.0) -> float: """ Calculate diffuse horizontal irradiance. Args: direct_normal: Direct normal irradiance in W/m² altitude: Solar altitude angle in degrees clearness_factor: Sky clearness factor (default: 1.0) Returns: Diffuse horizontal irradiance in W/m² """ if altitude <= 0: return 0 # Calculate diffuse horizontal irradiance c = 0.095 + 0.04 * math.sin(math.radians(altitude)) return c * direct_normal * clearness_factor @staticmethod def global_horizontal_irradiance(direct_normal: float, diffuse_horizontal: float, altitude: float) -> float: """ Calculate global horizontal irradiance. Args: direct_normal: Direct normal irradiance in W/m² diffuse_horizontal: Diffuse horizontal irradiance in W/m² altitude: Solar altitude angle in degrees Returns: Global horizontal irradiance in W/m² """ if altitude <= 0: return 0 # Calculate global horizontal irradiance return direct_normal * math.sin(math.radians(altitude)) + diffuse_horizontal @staticmethod def irradiance_on_tilted_surface(direct_normal: float, diffuse_horizontal: float, global_horizontal: float, incident_angle: float, surface_tilt: float, ground_reflectance: float = 0.2) -> float: """ Calculate solar irradiance on a tilted surface. Args: direct_normal: Direct normal irradiance in W/m² diffuse_horizontal: Diffuse horizontal irradiance in W/m² global_horizontal: Global horizontal irradiance in W/m² incident_angle: Angle of incidence in degrees surface_tilt: Surface tilt angle from horizontal in degrees ground_reflectance: Ground reflectance (albedo) (default: 0.2) Returns: Total irradiance on tilted surface in W/m² """ # Convert angles to radians incident_rad = math.radians(incident_angle) tilt_rad = math.radians(surface_tilt) # Calculate direct component if incident_angle < 90: direct_component = direct_normal * math.cos(incident_rad) else: direct_component = 0 # Calculate diffuse component (isotropic model) diffuse_component = diffuse_horizontal * (1 + math.cos(tilt_rad)) / 2 # Calculate ground-reflected component reflected_component = global_horizontal * ground_reflectance * (1 - math.cos(tilt_rad)) / 2 # Calculate total irradiance return direct_component + diffuse_component + reflected_component @staticmethod def solar_heat_gain(irradiance: float, area: float, shgc: float, incident_angle_modifier: float = 1.0) -> float: """ Calculate solar heat gain through a window. Args: irradiance: Solar irradiance on window surface in W/m² area: Window area in m² shgc: Solar heat gain coefficient at normal incidence incident_angle_modifier: Incident angle modifier (default: 1.0) Returns: Solar heat gain in W """ return irradiance * area * shgc * incident_angle_modifier @staticmethod def incident_angle_modifier(incident_angle: float, glazing_layers: int = 1) -> float: """ Calculate incident angle modifier for windows. Args: incident_angle: Angle of incidence in degrees glazing_layers: Number of glazing layers (default: 1) Returns: Incident angle modifier (dimensionless) """ if incident_angle >= 90: return 0 # Calculate incident angle modifier if glazing_layers == 1: # Single glazing return 1 - 0.0018 * incident_angle else: # Multiple glazing return 1 - 0.00259 * incident_angle @staticmethod def shading_coefficient_to_shgc(sc: float) -> float: """ Convert shading coefficient to solar heat gain coefficient. Args: sc: Shading coefficient Returns: Solar heat gain coefficient """ return 0.87 * sc @staticmethod def shgc_to_shading_coefficient(shgc: float) -> float: """ Convert solar heat gain coefficient to shading coefficient. Args: shgc: Solar heat gain coefficient Returns: Shading coefficient """ return shgc / 0.87