Supermarket refrigeration system - Revision history

RobertLampel: /* Parameters */

2025-11-24T14:00:24Z

Parameters

RobertLampel: /* Variants */

2025-11-24T13:58:19Z

Variants

← Older revision		Revision as of 13:58, 24 November 2025
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	\dot{x_4} = \begin{cases}		\dot{x_4} = \begin{cases}

	\dfrac{M_{ref,max} - x_4}{\tau_{fill}} & \qquad \text{if} \quad u_0 = 1 \\ \\		\dfrac{M_{\mathrm{ref,max}} - x_4}{\tau_{\mathrm{fill}}} & \qquad \text{if} \quad u_0 = 1 \\ \\
	- \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} x_4 \big( x_2 - T_e(x_0) \big) & \qquad \text{if} \quad u_0 = 0 \quad \text{and}\quad x_4 > 0 \\ \\		- \dfrac{UA_{\mathrm{wall-ref,max}}}{M_{\mathrm{ref,max}} \cdot \Delta h_{lg}(x_0)} x_4 \big( x_2 - T_e(x_0) \big) & \qquad \text{if} \quad u_0 = 0 \quad \text{and}\quad x_4 > 0 \\ \\
	0 & \qquad \text{if} \quad u_0 = 0 \quad \text{and} \quad x_4 = 0		0 & \qquad \text{if} \quad u_0 = 0 \quad \text{and} \quad x_4 = 0

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	<math>		<math>
	\begin{array}{lcrr}		\begin{array}{lcrr}
	\dot{Q}_{airload} &=& 1800.00 & \frac{J}{s}, \\		\dot{Q}_{\mathrm{airload}} &=& 1800.00 & \frac{J}{s}, \\
	\dot{m}_{ref,const} &=& 0.00 & \frac{kg}{s}, \\		\dot{m}_{\mathrm{ref,const}} &=& 0.00 & \frac{kg}{s}, \\
	\end{array}		\end{array}
	</math>		</math>

RobertLampel: /* Mathematical formulation */

2025-11-24T13:56:46Z

Mathematical formulation

← Older revision		Revision as of 13:56, 24 November 2025
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	\displaystyle		\displaystyle
	\mbox{s.t.} &		\mbox{s.t.} &
	\dot{x_0} &=& \dfrac{1}{V_{suc} \cdot \frac{d\rho_{suc}}{dP_{suc}}(x_0)} \cdot \bigg[		\dot{x_0} &=& \dfrac{1}{V_{\mathrm{suc}} \cdot \frac{d\rho_{\mathrm{suc}}}{dP_{\mathrm{suc}}}(x_0)} \cdot \bigg[
	\left(\dfrac{UA_{wall-ref, max}}{M_{ref, max} \cdot		\left(\dfrac{UA_{\mathrm{wall-ref}, \mathrm{max}}}{M_{\mathrm{ref}, \mathrm{max}} \cdot
	\Delta h_{lg}(x_0)}\right) \Big( x_4 \big( x_2 - T_e(x_0) \big)\\		\Delta h_{lg}(x_0)}\right) \Big( x_4 \big( x_2 - T_e(x_0) \big)\\
	& && + \, x_8 \big( x_6 - T_e(x_0) \big) \Big) + \, M_{ref,const} - \eta_{vol} \cdot V_{sl} \cdot 0.5 \, u_2 \rho_{suc}(x_0)		& && + \, x_8 \big( x_6 - T_e(x_0) \big) \Big) + \, M_{\mathrm{ref,const}} - \eta_{vol} \cdot V_{sl} \cdot 0.5 \, u_2 \rho_{\mathrm{suc}}(x_0)
	\bigg] \\		\bigg] \\
	&\dot{x_1} &=& - \dfrac{		&\dot{x_1} &=& - \dfrac{
	UA_{goods-air} \left( x_1 - x_3 \right)		UA_{\mathrm{goods-air}} \left( x_1 - x_3 \right)
	}{		}{
	M_{goods} \cdot C_{p,goods}		M_{\mathrm{goods}} \cdot C_{p,\mathrm{goods}}
	} \\		} \\
	&\dot{x_2} &=& \dfrac{		&\dot{x_2} &=& \dfrac{
	UA_{air-wall} \left( x_3-x_2 \right)		UA_{\mathrm{air-wall}} \left( x_3-x_2 \right)
	- \dfrac{UA_{wall-ref,max}}{M_{ref,max}}		- \dfrac{UA_{\mathrm{wall-ref},max}}{M_{ref,max}}
	\, x_4 \big( x_2 - T_e(x_0) \big)		\, x_4 \big( x_2 - T_e(x_0) \big)
	}{		}{
	M_{wall} \cdot C_{p,wall}		M_{\mathrm{wall}} \cdot C_{p,\mathrm{wall}}
	} \\ [2.5ex]		} \\[2.5ex]
	&\dot{x_3} &=& \dfrac{		&\dot{x_3} &=& \dfrac{
	UA_{goods-air} \left( x_1-x_3 \right) + \dot{Q}_{airload}		UA_{\mathrm{goods-air}} \left( x_1-x_3 \right) + \dot{Q}_{\mathrm{airload}}
	- UA_{air-wall} \, (x_3-x_2)		- UA_{\mathrm{air-wall}} \, (x_3-x_2)
	}{		}{
	M_{air} \cdot C_{p,air}		M_{air} \cdot C_{p,air}
	} \\ [2.5ex]		} \\[2.5ex]
	&\dot{x_4} &=& \left(\dfrac{M_{ref,max} - x_4}{\tau_{fill}} \right) u_0		&\dot{x_4} &=& \left(\dfrac{M_{\mathrm{ref,max}} - x_4}{\tau_{\mathrm{fill}}} \right) u_0
	- \left( \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} \,		- \left( \dfrac{UA_{\mathrm{wall-ref},\mathrm{max}}}{M_{\mathrm{ref,max}} \cdot \Delta h_{lg}(x_0)} \,
	x_4 \big( x_2 - T_e(x_0) \big) \right) (1-u_0)		x_4 \big( x_2 - T_e(x_0) \big) \right) (1-u_0)
	\\ \\		\\ \\
	&\dot{x_5} &=& - \dfrac{		&\dot{x_5} &=& - \dfrac{
	UA_{goods-air} \left( x_5 - x_7 \right)		UA_{\mathrm{goods-air}} \left( x_5 - x_7 \right)
	}{		}{
	M_{goods} \cdot C_{p,goods}		M_{\mathrm{goods}} \cdot C_{p,\mathrm{goods}}
	} \\		} \\
	&\dot{x_6} &=& \dfrac{		&\dot{x_6} &=& \dfrac{
	UA_{air-wall} \left( x_7-x_6 \right)		UA_{\mathrm{air-wall}} \left( x_7-x_6 \right)
	- \dfrac{UA_{wall-ref,max}}{M_{ref,max}}		- \dfrac{UA_{\mathrm{wall-ref},\mathrm{max}}}{M_{\mathrm{ref,max}}}
	\, x_8 \big( x_6 - T_e(x_0) \big)		\, x_8 \big( x_6 - T_e(x_0) \big)
	}{		}{
	M_{wall} \cdot C_{p,wall}		M_{\mathrm{wall}} \cdot C_{p,\mathrm{wall}}
	} \\ [2.5ex]		} \\[2.5ex]
	&\dot{x_7} &=& \dfrac{		&\dot{x_7} &=& \dfrac{
	UA_{goods-air} \left( x_5-x_7 \right) + \dot{Q}_{airload}		UA_{\mathrm{goods-air}} \left( x_5-x_7 \right) + \dot{Q}_{\mathrm{airload}}
	- UA_{air-wall} \, (x_7-x_6)		- UA_{\mathrm{air-wall}} \, (x_7-x_6)
	}{		}{
	M_{air} \cdot C_{p,air}		M_{air} \cdot C_{p,\mathrm{air}}
	} \\ [2.5ex]		} \\[2.5ex]
	&\dot{x_8} &=& \left(\dfrac{M_{ref,max} - x_8}{\tau_{fill}} \right) u_1		&\dot{x_8} &=& \left(\dfrac{M_{\mathrm{ref,max}} - x_8}{\tau_{\mathrm{fill}}} \right) u_1
	- \left( \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} \,		- \left( \dfrac{UA_{\mathrm{wall-ref},\mathrm{max}}}{M_{\mathrm{ref,max}} \cdot \Delta h_{lg}(x_0)} \,
	x_8 \big( x_6 - T_e(x_0) \big) \right) (1-u_1)		x_8 \big( x_6 - T_e(x_0) \big) \right) (1-u_1)
	\\ [4ex]		\\[4ex]

	& x_3 &\geq& 2.0 \quad \forall t \in [t_0, t_f],\\		& x_3 &\geq& 2.0 \quad \forall t \in [t_0, t_f],\\
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	& x_7 &\leq& 5.0 \quad \forall t \in [t_0, t_f],\\		& x_7 &\leq& 5.0 \quad \forall t \in [t_0, t_f],\\
	& x_0 &\leq& 1.7 \quad \forall t \in [t_0, t_f], \\		& x_0 &\leq& 1.7 \quad \forall t \in [t_0, t_f], \\
	& x_i(t_0) &=& free \quad \forall i \in \{0,\dots, 8\}, \\		& x_i(t_0) &=& \mathrm{free} \quad \forall i \in \{0,\dots, 8\}, \\
	& x_i(t_f) &=& x_i(t_0) \quad \forall i \in \{0,\dots, 8\}, \\		& x_i(t_f) &=& x_i(t_0) \quad \forall i \in \{0,\dots, 8\}, \\
	& u_i(t) &\in& \{0, 1\} \quad \forall i \in \{0,\dots, 2\}, \\		& u_i(t) &\in& \{0, 1\} \quad \forall i \in \{0,\dots, 2\}, \\
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	T_e(x_0) &=& -4.3544 x_0^2 + 29.224 x_0 - 51.2005,\\		T_e(x_0) &=& -4.3544 x_0^2 + 29.224 x_0 - 51.2005,\\
	\Delta h_{lg}(x_0) &=& (0.0217 x_0^2 - 0.1704 x_0 + 2.2988)\cdot 10^5, \\		\Delta h_{lg}(x_0) &=& (0.0217 x_0^2 - 0.1704 x_0 + 2.2988)\cdot 10^5, \\
	\rho_{suc}(x_0) &=& 4.6073 x_0 + 0.3798, \\		\rho_{\mathrm{suc}}(x_0) &=& 4.6073 x_0 + 0.3798, \\
	\frac{d\rho_{suc}}{dP_{suc}}(x_0) &=& -0.0329 {x_0}^3 + 0.2161 {x_0}^2 - 0.4742 x_0 + 5.4817,\\		\frac{d\rho_{\mathrm{suc}}}{dP_{\mathrm{suc}}}(x_0) &=& -0.0329 {x_0}^3 + 0.2161 {x_0}^2 - 0.4742 x_0 + 5.4817,\\
	f(x_0) &=& (0.0265 x_0^3 - 0.4346 x_0^2 + 2.4923 x_0 + 1.2189) \cdot 10^5.		f(x_0) &=& (0.0265 x_0^3 - 0.4346 x_0^2 + 2.4923 x_0 + 1.2189) \cdot 10^5.
	\end{array}		\end{array}

FelixMueller at 08:33, 27 July 2016

2016-07-27T08:33:51Z

← Older revision		Revision as of 08:33, 27 July 2016
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	\|nx = 9		\|nx = 9
	\|nw = 3		\|nw = 3
			\|nc = 7
	\|nre = 9		\|nre = 9
	}}		}}

FelixMueller: /* Source Code */

2016-06-28T07:49:50Z

Source Code

← Older revision		Revision as of 07:49, 28 June 2016
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	* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]		* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]
	* [[:Category:optimica \| optimica code]] at [[Supermarket refrigeration system (optimica)]]
	* [[:Category:JModelica \| JModelica code]] at [[Supermarket refrigeration system (JModelica)]]		* [[:Category:JModelica \| JModelica code]] at [[Supermarket refrigeration system (JModelica)]]

FelixMueller: /* Source Code */

2016-06-27T22:04:19Z

Source Code

← Older revision		Revision as of 22:04, 27 June 2016
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	* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]		* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]
	* [[:Category:optimica \| optimica]] at [[Supermarket refrigeration system (optimica)]]		* [[:Category:optimica \| optimica code]] at [[Supermarket refrigeration system (optimica)]]
	* [[:Category:JModelica \| JModelica]] at [[Supermarket refrigeration system (JModelica)]]		* [[:Category:JModelica \| JModelica code]] at [[Supermarket refrigeration system (JModelica)]]

	== Variants ==		== Variants ==

FelixMueller: /* Source Code */

2016-06-27T21:46:54Z

Source Code

← Older revision		Revision as of 21:46, 27 June 2016
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	* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]		* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]
	* [[:Category:optimica \| optimica]] at [[Supermarket refrigeration system (optimica)]]		* [[:Category:optimica \| optimica]] at [[Supermarket refrigeration system (optimica)]]
			* [[:Category:JModelica \| JModelica]] at [[Supermarket refrigeration system (JModelica)]]

	== Variants ==		== Variants ==

FelixMueller: /* Reference Solutions */

2016-04-17T09:56:49Z

Reference Solutions

← Older revision		Revision as of 09:56, 17 April 2016
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	== Reference Solutions ==		== Reference Solutions ==

	For the relaxed problem (we only demand <math>u_i(t) \in [0,1]</math> instead of <math>u_i(t) \in \{0,1\}</math> the optimal solution is 12072.45.		For the relaxed problem (we only demand <math>u_i(t) \in [0,1]</math> instead of <math>u_i(t) \in \{0,1\}</math>) the optimal solution is 12072.45.
	The illustrated solution with integer controls has a (suboptimal) objective function value of 12252.81.		The illustrated solution with integer controls has a (suboptimal) objective function value of 12252.81.

FelixMueller: /* Mathematical formulation */

2016-02-22T16:22:01Z

Mathematical formulation

← Older revision		Revision as of 16:22, 22 February 2016
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	\displaystyle		\displaystyle
	\mbox{s.t.} &		\mbox{s.t.} &
	\dot{x_0}~~(t)~~ &=& \dfrac{1}{V_{suc} \cdot \frac{d\rho_{suc}}{dP_{suc}}(x_0)} \cdot \bigg[		\dot{x_0} &=& \dfrac{1}{V_{suc} \cdot \frac{d\rho_{suc}}{dP_{suc}}(x_0)} \cdot \bigg[
	\left(\dfrac{UA_{wall-ref, max}}{M_{ref, max} \cdot		\left(\dfrac{UA_{wall-ref, max}}{M_{ref, max} \cdot
	\Delta h_{lg}(x_0)}\right) \Big( x_4 \big( x_2 - T_e(x_0) \big)\\		\Delta h_{lg}(x_0)}\right) \Big( x_4 \big( x_2 - T_e(x_0) \big)\\
	& && + \, x_8 \big( x_6 - T_e(x_0) \big) \Big) + \, M_{ref,const} - \eta_{vol} \cdot V_{sl} \cdot 0.5 \, u_2 \rho_{suc}(x_0)		& && + \, x_8 \big( x_6 - T_e(x_0) \big) \Big) + \, M_{ref,const} - \eta_{vol} \cdot V_{sl} \cdot 0.5 \, u_2 \rho_{suc}(x_0)
	\bigg] \\		\bigg] \\
	&\dot{x_1}~~(t)~~ &=& - \dfrac{		&\dot{x_1} &=& - \dfrac{
	UA_{goods-air} \left( x_1 - x_3 \right)		UA_{goods-air} \left( x_1 - x_3 \right)
	}{		}{
	M_{goods} \cdot C_{p,goods}		M_{goods} \cdot C_{p,goods}
	} \\		} \\
	&\dot{x_2}~~(t)~~ &=& \dfrac{		&\dot{x_2} &=& \dfrac{
	UA_{air-wall} \left( x_3-x_2 \right)		UA_{air-wall} \left( x_3-x_2 \right)
	- \dfrac{UA_{wall-ref,max}}{M_{ref,max}}		- \dfrac{UA_{wall-ref,max}}{M_{ref,max}}
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	M_{wall} \cdot C_{p,wall}		M_{wall} \cdot C_{p,wall}
	} \\ [2.5ex]		} \\ [2.5ex]
	&\dot{x_3}~~(t)~~ &=& \dfrac{		&\dot{x_3} &=& \dfrac{
	UA_{goods-air} \left( x_1-x_3 \right) + \dot{Q}_{airload}		UA_{goods-air} \left( x_1-x_3 \right) + \dot{Q}_{airload}
	- UA_{air-wall} \, (x_3-x_2)		- UA_{air-wall} \, (x_3-x_2)
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	M_{air} \cdot C_{p,air}		M_{air} \cdot C_{p,air}
	} \\ [2.5ex]		} \\ [2.5ex]
	&\dot{x_4}~~(t)~~ &=& \left(\dfrac{M_{ref,max} - x_4}{\tau_{fill}} \right) u_0		&\dot{x_4} &=& \left(\dfrac{M_{ref,max} - x_4}{\tau_{fill}} \right) u_0
	- \left( \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} \,		- \left( \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} \,
	x_4 \big( x_2 - T_e(x_0) \big) \right) (1-u_0)		x_4 \big( x_2 - T_e(x_0) \big) \right) (1-u_0)
	\\ \\		\\ \\
	&\dot{x_5}~~(t)~~ &=& - \dfrac{		&\dot{x_5} &=& - \dfrac{
	UA_{goods-air} \left( x_5 - x_7 \right)		UA_{goods-air} \left( x_5 - x_7 \right)
	}{		}{
	M_{goods} \cdot C_{p,goods}		M_{goods} \cdot C_{p,goods}
	} \\		} \\
	&\dot{x_6}~~(t)~~ &=& \dfrac{		&\dot{x_6} &=& \dfrac{
	UA_{air-wall} \left( x_7-x_6 \right)		UA_{air-wall} \left( x_7-x_6 \right)
	- \dfrac{UA_{wall-ref,max}}{M_{ref,max}}		- \dfrac{UA_{wall-ref,max}}{M_{ref,max}}
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	M_{wall} \cdot C_{p,wall}		M_{wall} \cdot C_{p,wall}
	} \\ [2.5ex]		} \\ [2.5ex]
	&\dot{x_7}~~(t)~~ &=& \dfrac{		&\dot{x_7} &=& \dfrac{
	UA_{goods-air} \left( x_5-x_7 \right) + \dot{Q}_{airload}		UA_{goods-air} \left( x_5-x_7 \right) + \dot{Q}_{airload}
	- UA_{air-wall} \, (x_7-x_6)		- UA_{air-wall} \, (x_7-x_6)
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	M_{air} \cdot C_{p,air}		M_{air} \cdot C_{p,air}
	} \\ [2.5ex]		} \\ [2.5ex]
	&\dot{x_8}~~(t)~~ &=& \left(\dfrac{M_{ref,max} - x_8}{\tau_{fill}} \right) u_1		&\dot{x_8} &=& \left(\dfrac{M_{ref,max} - x_8}{\tau_{fill}} \right) u_1
	- \left( \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} \,		- \left( \dfrac{UA_{wall-ref,max}}{M_{ref,max} \cdot \Delta h_{lg}(x_0)} \,
	x_8 \big( x_6 - T_e(x_0) \big) \right) (1-u_1)		x_8 \big( x_6 - T_e(x_0) \big) \right) (1-u_1)
	\\ [4ex]		\\ [4ex]

	& x_3~~(t)~~ &\geq& 2.0 \quad \forall t \in [t_0, t_f],\\		& x_3 &\geq& 2.0 \quad \forall t \in [t_0, t_f],\\
	& x_3~~(t)~~ &\leq& 5.0 \quad \forall t \in [t_0, t_f],\\		& x_3 &\leq& 5.0 \quad \forall t \in [t_0, t_f],\\
	& x_7~~(t)~~ &\geq& 2.0 \quad \forall t \in [t_0, t_f],\\		& x_7 &\geq& 2.0 \quad \forall t \in [t_0, t_f],\\
	& x_7~~(t)~~ &\leq& 5.0 \quad \forall t \in [t_0, t_f],\\		& x_7 &\leq& 5.0 \quad \forall t \in [t_0, t_f],\\
	& x_0~~(t)~~ &\leq& 1.7 \quad \forall t \in [t_0, t_f], \\		& x_0 &\leq& 1.7 \quad \forall t \in [t_0, t_f], \\
	& x_i(t_0) &=& free \quad \forall i \in \{0,\dots, 8\}, \\		& x_i(t_0) &=& free \quad \forall i \in \{0,\dots, 8\}, \\
	& x_i(t_f) &=& x_i(t_0) \quad \forall i \in \{0,\dots, 8\}, \\		& x_i(t_f) &=& x_i(t_0) \quad \forall i \in \{0,\dots, 8\}, \\

SebastianSager: Moved C to Muscod

2016-01-28T09:24:31Z

Moved C to Muscod

← Older revision		Revision as of 09:24, 28 January 2016
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	Model descriptions are available in		Model descriptions are available in

	* [[:Category:C \| C code]] at [[Supermarket refrigeration system (C)]]		* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]
	* [[:Category:optimica \| optimica]] at [[Supermarket refrigeration system (optimica)]]		* [[:Category:optimica \| optimica]] at [[Supermarket refrigeration system (optimica)]]

← Older revision		Revision as of 07:49, 28 June 2016
Line 182:		Line 182:

	* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]		* [[:Category:Muscod \| Muscod code]] at [[Supermarket refrigeration system (Muscod)]]
	* [[:Category:optimica \| optimica code]] at [[Supermarket refrigeration system (optimica)]]
	* [[:Category:JModelica \| JModelica code]] at [[Supermarket refrigeration system (JModelica)]]		* [[:Category:JModelica \| JModelica code]] at [[Supermarket refrigeration system (JModelica)]]

← Older revision		Revision as of 14:00, 24 November 2025
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	! Symbol !! Value !! Unit !! Description		! Symbol !! Value !! Unit !! Description
	\|-		\|-
	\| align=center \| <math>\dot{Q}_{airload}</math> \|\| align=right \| 3000.00 \|\| <math>\frac{J}{s}</math> \|\| Disturbance, heat transfer from outside the display case		\| align=center \| <math>\dot{Q}_{\mathrm{airload}}</math> \|\| align=right \| 3000.00 \|\| <math>\frac{J}{s}</math> \|\| Disturbance, heat transfer from outside the display case
	\|-		\|-
	\| align=center \| <math>\dot{m}_{ref,const}</math> \|\| align=right \| 0.20 \|\| <math>\frac{kg}{s}</math> \|\| Disturbance, constant mass flow of refrigerant		\| align=center \| <math>\dot{m}_{\mathrm{ref,const}}</math> \|\| align=right \| 0.20 \|\| <math>\frac{kg}{s}</math> \|\| Disturbance, constant mass flow of refrigerant
	from unmodeled entities		from unmodeled entities
	\|-		\|-
	\| align=center \| <math>M_{goods}</math> \|\| align=right \| 200.00 \|\| <math>kg</math> \|\| Mass of goods		\| align=center \| <math>M_{\mathrm{goods}}</math> \|\| align=right \| 200.00 \|\| <math>kg</math> \|\| Mass of goods
	\|-		\|-
	\| align=center \| <math>C_{p,goods}</math> \|\| align=right \| 1000.00 \|\| <math>\frac{J}{kg \cdot K}</math> \|\| Heat capacity of goods		\| align=center \| <math>C_{p,\mathrm{goods}}</math> \|\| align=right \| 1000.00 \|\| <math>\frac{J}{kg \cdot K}</math> \|\| Heat capacity of goods
	\|-		\|-
	\| align=center \| <math>		\| align=center \| <math>
	UA_{goods-air} </math> \|\| align=right \| 300.00 \|\| <math>\frac{J}{s \cdot K}</math> \|\| Heat transfer coefficient between goods		UA_{\mathrm{goods-air}} </math> \|\| align=right \| 300.00 \|\| <math>\frac{J}{s \cdot K}</math> \|\| Heat transfer coefficient between goods
	and air		and air
	\|-		\|-
	\| align=center \| <math>M_{wall} </math> \|\| align=right \| 260.00 \|\| <math>kg</math> \|\| Mass of evaporator wall		\| align=center \| <math>M_{\mathrm{wall}} </math> \|\| align=right \| 260.00 \|\| <math>kg</math> \|\| Mass of evaporator wall
	\|-		\|-
	\| align=center \| <math>C_{p,wall} </math> \|\| align=right \| 385.00 \|\| <math>\frac{J}{kg \cdot K}</math> \|\| Heat capacity of evaporator wall		\| align=center \| <math>C_{p,\mathrm{wall}} </math> \|\| align=right \| 385.00 \|\| <math>\frac{J}{kg \cdot K}</math> \|\| Heat capacity of evaporator wall
	\|-		\|-
	\| align=center \| <math>UA_{air-wall}</math> \|\| align=right \| 500.00 \|\| <math>\frac{J}{s \cdot K}</math> \|\| Heat transfer coefficient between air and		\| align=center \| <math>UA_{\mathrm{air-wall}}</math> \|\| align=right \| 500.00 \|\| <math>\frac{J}{s \cdot K}</math> \|\| Heat transfer coefficient between air and
	wall		wall
	\|-		\|-
	\| align=center \| <math>M_{air}</math> \|\| align=right \| 50.00 \|\| <math>kg</math> \|\| Mass of air in display case		\| align=center \| <math>M_{\mathrm{air}}</math> \|\| align=right \| 50.00 \|\| <math>kg</math> \|\| Mass of air in display case
	\|-		\|-
	\| align=center \| <math>C_{p,air}</math> \|\| align=right \| 1000.00 \|\| <math>\frac{J}{kg \cdot K}</math> \|\| Heat capacity of air		\| align=center \| <math>C_{p,\mathrm{air}}</math> \|\| align=right \| 1000.00 \|\| <math>\frac{J}{kg \cdot K}</math> \|\| Heat capacity of air
	\|-		\|-
	\| align=center \| <math>UA_{wall-ref,max}</math> \|\| align=right \| 4000.00 \|\| <math>\frac{J}{s \cdot K}</math> \|\| Maximum heat transfer coefficient between		\| align=center \| <math>UA_{\mathrm{wall-ref,max}}</math> \|\| align=right \| 4000.00 \|\| <math>\frac{J}{s \cdot K}</math> \|\| Maximum heat transfer coefficient between
	refrigerant and evaporator wall		refrigerant and evaporator wall
	\|-		\|-
	\| align=center \| <math>\tau_{fill}</math> \|\| align=right \| 40.00 \|\| <math>s</math> \|\| Parameter describing the filling time of the		\| align=center \| <math>\tau_{\mathrm{fill}}</math> \|\| align=right \| 40.00 \|\| <math>s</math> \|\| Parameter describing the filling time of the
	evaporator under opened valve		evaporator under opened valve
	\|-		\|-
	\| align=center \| <math>T_{SH}</math> \|\| align=right \| 10.00 \|\| <math>K</math> \|\| Superheat in the suction manifold		\| align=center \| <math>T_{\mathrm{SH}}</math> \|\| align=right \| 10.00 \|\| <math>K</math> \|\| Superheat in the suction manifold
	\|-		\|-
	\| align=center \| <math>M_{ref,max}</math> \|\| align=right \| 1.00 \|\| <math>kg</math> \|\| Maximum mass of refrigerant in evaporator		\| align=center \| <math>M_{\mathrm{ref,max}}</math> \|\| align=right \| 1.00 \|\| <math>kg</math> \|\| Maximum mass of refrigerant in evaporator
	\|-		\|-
	\| align=center \| <math>V_{suc}</math> \|\| align=right \| 5.00 \|\| <math>m^3</math> \|\| Total volume of suction manifold		\| align=center \| <math>V_{\mathrm{suc}}</math> \|\| align=right \| 5.00 \|\| <math>m^3</math> \|\| Total volume of suction manifold
	\|-		\|-
	\| align=center \| <math>V_{sl}</math> \|\| align=right \| 0.08 \|\| <math>\frac{m^3}{s}</math> \|\| Total displacement volume		\| align=center \| <math>V_{\mathrm{sl}}</math> \|\| align=right \| 0.08 \|\| <math>\frac{m^3}{s}</math> \|\| Total displacement volume
	\|-		\|-
	\| align=center \| <math>\eta_{vol}</math> \|\| align=right \| 0.81 \|\| <math>-</math> \|\| Volumetric efficiency		\| align=center \| <math>\eta_{\mathrm{vol}}</math> \|\| align=right \| 0.81 \|\| <math>-</math> \|\| Volumetric efficiency
	\|}		\|}