from dataclasses import dataclass
from ..base import RCModel
[docs]@dataclass
class TwTiTm_RoRiAwAi(RCModel):
"""Third order RC model"""
states = [
("TEMPERATURE", "xw", "envelope temperature"),
("TEMPERATURE", "xi", "indoor temperature"),
("TEMPERATURE", "xm", "internal mass temperature"),
]
params = [
("THERMAL_RESISTANCE", "Ro", "between the outdoor and the envelope"),
("THERMAL_RESISTANCE", "Ri", "between the envelope and the indoor"),
("THERMAL_CAPACITY", "Cw", "of the envelope"),
("THERMAL_CAPACITY", "Ci", "of the indoor"),
("THERMAL_CAPACITY", "Cm", "of the internal mass"),
("SOLAR_APERTURE", "Aw", "of the envelope"),
("SOLAR_APERTURE", "Ai", "of the windows"),
("STATE_DEVIATION", "sigw_w", "of the envelope dynamic"),
("STATE_DEVIATION", "sigw_i", "of the indoor dynamic"),
("STATE_DEVIATION", "sigw_m", "of the internal mass 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_m", "of the internal mass temperature"),
("INITIAL_DEVIATION", "sigx0_w", "of the envelope temperature"),
("INITIAL_DEVIATION", "sigx0_i", "of the infoor temperature"),
("INITIAL_DEVIATION", "sigx0_m", "of the internal mass temperature"),
]
inputs = [
("TEMPERATURE", "To", "outdoor temperature"),
("POWER", "Qgh", "solar irradiance"),
("POWER", "Qh", "HVAC system heat"),
]
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,
Cw,
Ci,
Cm,
Aw,
Ai,
sigw_w,
sigw_i,
sigw_m,
sigv,
x0_w,
x0_i,
x0_m,
sigx0_w,
sigx0_i,
sigx0_m,
*_,
) = self.parameters.theta
self.A[:] = [
[-(Ro + Ri) / (Cw * Ri * Ro), 1.0 / (Cw * Ri), 0.0],
[1.0 / (Ci * Ri), -2.0 / (Ci * Ri), 1.0 / (Ci * Ri)],
[0.0, 1.0 / (Cm * Ri), -1.0 / (Cm * Ri)],
]
self.B[:2, :] = [[1.0 / (Cw * Ro), Aw / Cw, 0.0], [0.0, Ai / Ci, 1.0 / Ci]]
self.Q[self._diag] = [sigw_w, sigw_i, sigw_m]
self.R[0, 0] = sigv
self.x0[:, 0] = [x0_w, x0_i, x0_m]
self.P0[self._diag] = [sigx0_w, sigx0_i, sigx0_m]