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"""
Heating load calculation module for HVAC Load Calculator.
This module implements steady-state methods for calculating heating loads.
"""
from typing import Dict, List, Any, Optional, Tuple
import math
import numpy as np
import pandas as pd
import os
from datetime import datetime, timedelta
from enum import Enum
# Import data models and utilities
from data.building_components import Wall, Roof, Floor, Window, Door, Orientation, ComponentType
from utils.psychrometrics import Psychrometrics
from utils.heat_transfer import HeatTransfer
# Define paths
DATA_DIR = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))
class HeatingLoad:
"""Class for calculating heating loads using steady-state methods."""
def __init__(self):
"""Initialize heating load calculator."""
self.heat_transfer = HeatTransfer()
self.psychrometrics = Psychrometrics()
def calculate_wall_heating_load(self, wall: Wall, outdoor_temp: float, indoor_temp: float) -> float:
"""
Calculate heating load through a wall using steady-state conduction.
Args:
wall: Wall object
outdoor_temp: Outdoor temperature in °C
indoor_temp: Indoor temperature in °C
Returns:
Heating load in W
"""
# Get wall properties
u_value = wall.u_value
area = wall.area
# Calculate heating load
delta_t = indoor_temp - outdoor_temp
heating_load = u_value * area * delta_t
return heating_load
def calculate_roof_heating_load(self, roof: Roof, outdoor_temp: float, indoor_temp: float) -> float:
"""
Calculate heating load through a roof using steady-state conduction.
Args:
roof: Roof object
outdoor_temp: Outdoor temperature in °C
indoor_temp: Indoor temperature in °C
Returns:
Heating load in W
"""
# Get roof properties
u_value = roof.u_value
area = roof.area
# Calculate heating load
delta_t = indoor_temp - outdoor_temp
heating_load = u_value * area * delta_t
return heating_load
def calculate_floor_heating_load(self, floor: Floor, ground_temp: float, indoor_temp: float) -> float:
"""
Calculate heating load through a floor.
Args:
floor: Floor object
ground_temp: Ground or adjacent space temperature in °C
indoor_temp: Indoor temperature in °C
Returns:
Heating load in W
"""
# Get floor properties
u_value = floor.u_value
area = floor.area
# Calculate heating load
delta_t = indoor_temp - ground_temp
heating_load = u_value * area * delta_t
return heating_load
def calculate_window_heating_load(self, window: Window, outdoor_temp: float, indoor_temp: float) -> float:
"""
Calculate heating load through a window using steady-state conduction.
Args:
window: Window object
outdoor_temp: Outdoor temperature in °C
indoor_temp: Indoor temperature in °C
Returns:
Heating load in W
"""
# Get window properties
u_value = window.u_value
area = window.area
# Calculate heating load
delta_t = indoor_temp - outdoor_temp
heating_load = u_value * area * delta_t
return heating_load
def calculate_door_heating_load(self, door: Door, outdoor_temp: float, indoor_temp: float) -> float:
"""
Calculate heating load through a door using steady-state conduction.
Args:
door: Door object
outdoor_temp: Outdoor temperature in °C
indoor_temp: Indoor temperature in °C
Returns:
Heating load in W
"""
# Get door properties
u_value = door.u_value
area = door.area
# Calculate heating load
delta_t = indoor_temp - outdoor_temp
heating_load = u_value * area * delta_t
return heating_load
def calculate_infiltration_heating_load(self, flow_rate: float, outdoor_temp: float, indoor_temp: float,
outdoor_rh: float, indoor_rh: float) -> Dict[str, float]:
"""
Calculate sensible and latent heating loads due to infiltration.
Args:
flow_rate: Infiltration flow rate in m³/s
outdoor_temp: Outdoor temperature in °C
indoor_temp: Indoor temperature in °C
outdoor_rh: Outdoor relative humidity in %
indoor_rh: Indoor relative humidity in %
Returns:
Dictionary with sensible, latent, and total heating loads in W
"""
# Calculate sensible heating load
sensible_load = self.heat_transfer.infiltration_heat_transfer(
flow_rate=flow_rate,
delta_t=indoor_temp - outdoor_temp
)
# Calculate humidity ratios
w_outdoor = self.psychrometrics.humidity_ratio(outdoor_temp, outdoor_rh)
w_indoor = self.psychrometrics.humidity_ratio(indoor_temp, indoor_rh)
# Calculate latent heating load (only if indoor humidity is higher than outdoor)
delta_w = w_indoor - w_outdoor
if delta_w > 0:
latent_load = self.heat_transfer.infiltration_latent_heat_transfer(
flow_rate=flow_rate,
delta_w=delta_w
)
else:
latent_load = 0
# Calculate total heating load
total_load = sensible_load + latent_load
return {
"sensible": sensible_load,
"latent": latent_load,
"total": total_load
}
def calculate_ventilation_heating_load(self, flow_rate: float, outdoor_temp: float, indoor_temp: float,
outdoor_rh: float, indoor_rh: float) -> Dict[str, float]:
"""
Calculate sensible and latent heating loads due to ventilation.
Args:
flow_rate: Ventilation flow rate in m³/s
outdoor_temp: Outdoor temperature in °C
indoor_temp: Indoor temperature in °C
outdoor_rh: Outdoor relative humidity in %
indoor_rh: Indoor relative humidity in %
Returns:
Dictionary with sensible, latent, and total heating loads in W
"""
# Ventilation load calculation is the same as infiltration
return self.calculate_infiltration_heating_load(
flow_rate=flow_rate,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp,
outdoor_rh=outdoor_rh,
indoor_rh=indoor_rh
)
def calculate_internal_gains_offset(self, people_load: float, lights_load: float,
equipment_load: float, usage_factor: float = 0.7) -> float:
"""
Calculate internal gains offset for heating load.
Args:
people_load: Heat gain from people in W
lights_load: Heat gain from lights in W
equipment_load: Heat gain from equipment in W
usage_factor: Usage factor for internal gains (0-1)
Returns:
Internal gains offset in W
"""
# Calculate total internal gains
total_gains = people_load + lights_load + equipment_load
# Apply usage factor
offset = total_gains * usage_factor
return offset
def calculate_design_heating_load(self, building_components: Dict[str, List[Any]],
outdoor_conditions: Dict[str, Any],
indoor_conditions: Dict[str, Any],
internal_loads: Dict[str, Any],
safety_factor: float = 1.15) -> Dict[str, float]:
"""
Calculate design heating load for a building.
Args:
building_components: Dictionary with lists of building components
outdoor_conditions: Dictionary with outdoor conditions
indoor_conditions: Dictionary with indoor conditions
internal_loads: Dictionary with internal loads
safety_factor: Safety factor for heating load (default: 1.15)
Returns:
Dictionary with heating load results
"""
# Initialize results dictionary
results = {
"walls": 0,
"roofs": 0,
"floors": 0,
"windows": 0,
"doors": 0,
"infiltration_sensible": 0,
"infiltration_latent": 0,
"ventilation_sensible": 0,
"ventilation_latent": 0,
"internal_gains_offset": 0,
"detailed_loads": {
"walls": [],
"roofs": [],
"floors": [],
"windows": [],
"doors": []
}
}
# Get design conditions
outdoor_temp = outdoor_conditions.get("design_heating_temp", -10)
indoor_temp = indoor_conditions.get("design_heating_temp", 21)
outdoor_rh = outdoor_conditions.get("design_heating_rh", 90)
indoor_rh = indoor_conditions.get("design_heating_rh", 30)
# Calculate wall heating loads
for wall in building_components.get("walls", []):
wall_load = self.calculate_wall_heating_load(
wall=wall,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp
)
results["walls"] += wall_load
# Add detailed load
results["detailed_loads"]["walls"].append({
"name": wall.name,
"orientation": wall.orientation.value,
"area": wall.area,
"u_value": wall.u_value,
"delta_t": indoor_temp - outdoor_temp,
"load": wall_load / 1000 # Convert to kW
})
# Calculate roof heating loads
for roof in building_components.get("roofs", []):
roof_load = self.calculate_roof_heating_load(
roof=roof,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp
)
results["roofs"] += roof_load
# Add detailed load
results["detailed_loads"]["roofs"].append({
"name": roof.name,
"area": roof.area,
"u_value": roof.u_value,
"delta_t": indoor_temp - outdoor_temp,
"load": roof_load / 1000 # Convert to kW
})
# Calculate floor heating loads
for floor in building_components.get("floors", []):
ground_temp = outdoor_conditions.get("ground_temp", 5)
floor_load = self.calculate_floor_heating_load(
floor=floor,
ground_temp=ground_temp,
indoor_temp=indoor_temp
)
results["floors"] += floor_load
# Add detailed load
results["detailed_loads"]["floors"].append({
"name": floor.name,
"area": floor.area,
"u_value": floor.u_value,
"delta_t": indoor_temp - ground_temp,
"load": floor_load / 1000 # Convert to kW
})
# Calculate window heating loads
for window in building_components.get("windows", []):
window_load = self.calculate_window_heating_load(
window=window,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp
)
results["windows"] += window_load
# Add detailed load
results["detailed_loads"]["windows"].append({
"name": window.name,
"orientation": window.orientation.value,
"area": window.area,
"u_value": window.u_value,
"delta_t": indoor_temp - outdoor_temp,
"load": window_load / 1000 # Convert to kW
})
# Calculate door heating loads
for door in building_components.get("doors", []):
door_load = self.calculate_door_heating_load(
door=door,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp
)
results["doors"] += door_load
# Add detailed load
results["detailed_loads"]["doors"].append({
"name": door.name,
"orientation": door.orientation.value,
"area": door.area,
"u_value": door.u_value,
"delta_t": indoor_temp - outdoor_temp,
"load": door_load / 1000 # Convert to kW
})
# Calculate infiltration heating load
if "infiltration" in indoor_conditions:
infiltration_info = indoor_conditions["infiltration"]
# Convert ACH to flow rate
if "ach" in infiltration_info:
volume = indoor_conditions.get("volume", indoor_conditions.get("floor_area", 100) * 3) # Assume 3m ceiling height if not specified
flow_rate = self.heat_transfer.air_exchange_rate_to_flow_rate(
ach=infiltration_info["ach"],
volume=volume
)
else:
flow_rate = infiltration_info.get("flow_rate", 0.05) # Default to 0.05 m³/s
infiltration_load = self.calculate_infiltration_heating_load(
flow_rate=flow_rate,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp,
outdoor_rh=outdoor_rh,
indoor_rh=indoor_rh
)
results["infiltration_sensible"] += infiltration_load["sensible"]
results["infiltration_latent"] += infiltration_load["latent"]
# Calculate ventilation heating load
if "ventilation" in indoor_conditions:
ventilation_info = indoor_conditions["ventilation"]
# Convert ACH to flow rate
if "ach" in ventilation_info:
volume = indoor_conditions.get("volume", indoor_conditions.get("floor_area", 100) * 3) # Assume 3m ceiling height if not specified
flow_rate = self.heat_transfer.air_exchange_rate_to_flow_rate(
ach=ventilation_info["ach"],
volume=volume
)
else:
flow_rate = ventilation_info.get("flow_rate", 0.1) # Default to 0.1 m³/s
ventilation_load = self.calculate_ventilation_heating_load(
flow_rate=flow_rate,
outdoor_temp=outdoor_temp,
indoor_temp=indoor_temp,
outdoor_rh=outdoor_rh,
indoor_rh=indoor_rh
)
results["ventilation_sensible"] += ventilation_load["sensible"]
results["ventilation_latent"] += ventilation_load["latent"]
# Calculate internal gains offset
people_load = internal_loads.get("people", {}).get("total", 0)
lights_load = internal_loads.get("lights", {}).get("total", 0)
equipment_load = internal_loads.get("equipment", {}).get("total", 0)
internal_gains_offset = self.calculate_internal_gains_offset(
people_load=people_load,
lights_load=lights_load,
equipment_load=equipment_load,
usage_factor=internal_loads.get("usage_factor", 0.7)
)
results["internal_gains_offset"] = internal_gains_offset
# Calculate subtotals
envelope_load = (
results["walls"] +
results["roofs"] +
results["floors"] +
results["windows"] +
results["doors"]
)
infiltration_load = results["infiltration_sensible"] + results["infiltration_latent"]
ventilation_load = results["ventilation_sensible"] + results["ventilation_latent"]
# Calculate total load
total_load = (
envelope_load +
infiltration_load +
ventilation_load -
internal_gains_offset
)
# Apply safety factor
design_load = total_load * safety_factor
# Add subtotals and totals to results
results.update({
"envelope": envelope_load,
"infiltration": infiltration_load,
"ventilation": ventilation_load,
"total": total_load,
"design_load": design_load,
"safety_factor_percent": (safety_factor - 1) * 100
})
# Add per area metrics
floor_area = indoor_conditions.get("floor_area", 100) # Default to 100 m²
results["load_per_area"] = design_load / floor_area if floor_area > 0 else 0
return results
def calculate_heating_load_profile(self, building_components: Dict[str, List[Any]],
outdoor_conditions: Dict[str, Any],
indoor_conditions: Dict[str, Any],
internal_loads: Dict[str, Any],
temperature_profile: List[float]) -> List[Dict[str, float]]:
"""
Calculate heating load profile for a range of outdoor temperatures.
Args:
building_components: Dictionary with lists of building components
outdoor_conditions: Dictionary with outdoor conditions
indoor_conditions: Dictionary with indoor conditions
internal_loads: Dictionary with internal loads
temperature_profile: List of outdoor temperatures in °C
Returns:
List of dictionaries with heating load results for each temperature
"""
# Initialize results list
results = []
# Calculate heating load for each temperature
for temp in temperature_profile:
# Update outdoor temperature
outdoor_conditions_temp = outdoor_conditions.copy()
outdoor_conditions_temp["design_heating_temp"] = temp
# Calculate heating load
load = self.calculate_design_heating_load(
building_components=building_components,
outdoor_conditions=outdoor_conditions_temp,
indoor_conditions=indoor_conditions,
internal_loads=internal_loads
)
# Add temperature to results
load["outdoor_temp"] = temp
# Add to results list
results.append(load)
return results
def calculate_balance_point(self, building_components: Dict[str, List[Any]],
outdoor_conditions: Dict[str, Any],
indoor_conditions: Dict[str, Any],
internal_loads: Dict[str, Any],
temperature_range: List[float] = None) -> float:
"""
Calculate balance point temperature for a building.
Args:
building_components: Dictionary with lists of building components
outdoor_conditions: Dictionary with outdoor conditions
indoor_conditions: Dictionary with indoor conditions
internal_loads: Dictionary with internal loads
temperature_range: List of outdoor temperatures to check (default: range from -20 to indoor temp)
Returns:
Balance point temperature in °C
"""
# Get indoor temperature
indoor_temp = indoor_conditions.get("design_heating_temp", 21)
# Create temperature range if not provided
if temperature_range is None:
temperature_range = list(range(-20, int(indoor_temp) + 1))
# Calculate heating load profile
load_profile = self.calculate_heating_load_profile(
building_components=building_components,
outdoor_conditions=outdoor_conditions,
indoor_conditions=indoor_conditions,
internal_loads=internal_loads,
temperature_profile=temperature_range
)
# Find balance point (where total load is approximately zero)
for load in load_profile:
if load["total"] <= 0:
return load["outdoor_temp"]
# If no balance point found, return indoor temperature
return indoor_temp
def calculate_bin_method_energy(self, building_components: Dict[str, List[Any]],
outdoor_conditions: Dict[str, Any],
indoor_conditions: Dict[str, Any],
internal_loads: Dict[str, Any],
bin_data: Dict[str, List[int]]) -> Dict[str, float]:
"""
Calculate annual heating energy using the bin method.
Args:
building_components: Dictionary with lists of building components
outdoor_conditions: Dictionary with outdoor conditions
indoor_conditions: Dictionary with indoor conditions
internal_loads: Dictionary with internal loads
bin_data: Dictionary with temperature bins and hours
Returns:
Dictionary with annual heating energy results
"""
# Initialize results
results = {
"annual_energy": 0,
"peak_load": 0,
"bin_results": []
}
# Get indoor temperature
indoor_temp = indoor_conditions.get("design_heating_temp", 21)
# Calculate balance point
balance_point = self.calculate_balance_point(
building_components=building_components,
outdoor_conditions=outdoor_conditions,
indoor_conditions=indoor_conditions,
internal_loads=internal_loads
)
# Calculate heating load for each bin
for temp, hours in zip(bin_data["temperatures"], bin_data["hours"]):
# Skip bins above balance point
if temp >= balance_point:
continue
# Update outdoor temperature
outdoor_conditions_temp = outdoor_conditions.copy()
outdoor_conditions_temp["design_heating_temp"] = temp
# Calculate heating load
load = self.calculate_design_heating_load(
building_components=building_components,
outdoor_conditions=outdoor_conditions_temp,
indoor_conditions=indoor_conditions,
internal_loads=internal_loads
)
# Calculate energy for this bin
energy = load["total"] * hours / 1000 # kWh
# Add to results
results["annual_energy"] += energy
results["peak_load"] = max(results["peak_load"], load["total"])
# Add bin result
results["bin_results"].append({
"temperature": temp,
"hours": hours,
"load": load["total"],
"energy": energy
})
return results
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