Table 1 Description of parameters and variables of the thermal dynamic model
From: Probabilistic Flexoffers in residential heat pumps considering uncertain weather forecast
Parameter | Description |
|---|---|
r | Index of rooms, r = 1,…,R |
a | Index of envelopes surrounded by ambient, a = 1,…,A |
t | Index of time horizon, t = 1,…,N |
\({\mathbf{C}}_{\mathbf{i}}^{\mathbf{r}}\) | Heat capacity of indoor air for room r (kWh/oC) |
\({\mathbf{C}}_{\mathbf{e}}^{\mathbf{r}}\) | Heat capacity of envelope for room r (kWh/oC) |
\({\mathbf{C}}_{\mathbf{h}}^{\mathbf{r}}\) | Heat capacity of floor pipes for room r (kWh/oC) |
Rie | Heat resistance between indoor air and envelope (oC/ kW) |
\({\mathbf{R}}_{\mathbf{i}\mathbf{e}}^{\mathbf{r}}\) | Heat resistance between indoor air and envelope for room r (oC/ kW) |
\({\mathbf{R}}_{\mathbf{e}}^{\mathbf{r}\mathbf{r}\mathbf{^{\prime}}}\) | Heat resistance between envelopes of rooms r and r’ (oC/ kW) |
\({\mathbf{R}}_{\mathbf{e}}^{\mathbf{r}\mathbf{a}}\) | Heat resistance between envelopes of rooms r and ambient (oC/ kW) |
\({\mathbf{R}}_{\mathbf{i}\mathbf{h}}^{\mathbf{r}}\) | Heat resistance between indoor air and floor pipes for room r (oC/ kW) |
Rea | Heat resistance between envelope and ambient (oC/ kW) |
Tam | Temperature of ambient (oC) |
\({\mathbf{T}}_{\mathbf{i}}^{\mathbf{r}}\) | Temperature of indoor air for room r (oC) |
\({\mathbf{T}}_{\mathbf{e}}^{\mathbf{r}}\) | Temperature of envelope for room r (oC) |
\({\mathbf{T}}_{\mathbf{h}}^{\mathbf{r}}\) | Temperature of floor pipes for room r (oC) |
Ph | Heating power of floor pipes (kW) |
Ps | Heat energy of solar irradiation (kW) |
\({{\varvec{A}}}_{{\varvec{w}}}^{\mathbf{r}}\) | Fraction of solar power absorption in room r |