from dataclasses import dataclass
from ..base import RCModel
[docs]@dataclass
class TwTiTh_RoRiRhAwAicv(RCModel):
"""Third order RC model"""
states = [
("TEMPERATURE", "xw", "envelope temperature"),
("TEMPERATURE", "xi", "indoor temperature"),
("TEMPERATURE", "xh", "heaters temperature"),
]
params = [
("THERMAL_RESISTANCE", "Ro", "between the outdoor and the envelope"),
("THERMAL_RESISTANCE", "Ri", "between the envelope and the indoor"),
("THERMAL_RESISTANCE", "Rh", "between the heaters and the indoor"),
("THERMAL_CAPACITY", "Cw", "of the envelope"),
("THERMAL_CAPACITY", "Ci", "of the indoor"),
("THERMAL_CAPACITY", "Ch", "of the heaters"),
("SOLAR_APERTURE", "Aw", "of the envelope"),
("SOLAR_APERTURE", "Ai", "of the windows"),
("COEFFICIENT", "cv", "scaling of the heat from the ventilation"),
("STATE_DEVIATION", "sigw_w", "of the envelope dynamic"),
("STATE_DEVIATION", "sigw_i", "of the indoor dynamic"),
("STATE_DEVIATION", "sigw_h", "of the heaters dynamic"),
("MEASURE_DEVIATION", "sigv", "of the indoor temperature measurements"),
("INITIAL_MEAN", "x0_w", "of the envelope temperature"),
("INITIAL_MEAN", "x0_i", "of the infoor temperature"),
("INITIAL_MEAN", "x0_h", "of the heater temperature"),
("INITIAL_DEVIATION", "sigx0_w", "of the envelope temperature"),
("INITIAL_DEVIATION", "sigx0_i", "of the infoor temperature"),
("INITIAL_DEVIATION", "sigx0_h", "of the heater temperature"),
]
inputs = [
("TEMPERATURE", "To", "outdoor temperature"),
("POWER", "Qgh", "solar irradiance"),
("POWER", "Qh", "HVAC system heat"),
("POWER", "Qv", "heat from the ventilation system"),
]
outputs = [("TEMPERATURE", "xi", "indoor temperature")]
def __post_init__(self):
super().__post_init__()
def set_constant_continuous_ssm(self):
self.C[0, 1] = 1.0
def update_continuous_ssm(self):
(
Ro,
Ri,
Rh,
Cw,
Ci,
Ch,
Aw,
Ai,
cv,
sigw_w,
sigw_i,
sigw_h,
sigv,
x0_w,
x0_i,
x0_h,
sigx0_w,
sigx0_i,
sigx0_h,
*_,
) = self.parameters.theta
self.A[:] = [
[-(Ro + Ri) / (Cw * Ri * Ro), 1.0 / (Cw * Ri), 0.0],
[1.0 / (Ci * Ri), -(Ri + Rh) / (Ci * Ri * Rh), 1.0 / (Ci * Rh)],
[0.0, 1.0 / (Ch * Rh), -1.0 / (Ch * Rh)],
]
self.B[:] = [
[1.0 / (Cw * Ro), Aw / Cw, 0.0, 0.0],
[0.0, Ai / Ci, 0.0, cv / Ci],
[0.0, 0.0, 1.0 / Ch, 0.0],
]
self.Q[self._diag] = [sigw_w, sigw_i, sigw_h]
self.R[0, 0] = sigv
self.x0[:, 0] = [x0_w, x0_i, x0_h]
self.P0[self._diag] = [sigx0_w, sigx0_i, sigx0_h]