trane water to water heatpumps

[alexandrecuer]

axiom water source heatpumps

https://www.trane.com/commercial/north-america/us/en/products-systems/packaged-units-and-split-systems/water-source-heat-pumps/water-to-water-wshp.html?utm_source=chatgpt.com

https://elibrary.tranetechnologies.com/public/search?maxFacetValues=25&n=&term=publicationID_md%3AWSHP-PRC040*-EN*&viewPDF=true

[alexandrecuer]

exemple de données constructeurs

Trane Axiom EXW120 (10 tons)

débit (GPM)	débit (m3/s)
25	0,00157726

[alexandrecuer]

engineering manual page 1186

This section describes the equation-fit model for water-to-water heat pump. (Object names:
HeatPump:WaterToWater:EquationFit:Cooling & HeatPump:WaterToWater:EquationFit:Heating).
This documentation is derived from the M.S. dissertation of Tang (2005) which is available on the
Oklahoma State University web site . The model uses four non-dimensional equations or curves to
predict the heat pump performance in cooling and heating mode. The methodology involved using
the generalized least square method to generate a set of performance coefficients from the catalog
data at indicated reference conditions. Then the respective coefficients and indicated reference
conditions are used in the model to simulate the heat pump performance. The variables that
influenced the water-to-water heat pump performance are load side inlet water temperature, source
side inlet temperature, source side water flow rate and load side water flow rate. The governing
equations for the cooling and heating mode are as following:

Assuming no losses, the source side heat transfer rate for cooling and heating mode is calculated
as following;

283.15 K = 10°C

[alexandrecuer]

EXW120

reference	value
Q_ref	197.1 Mbtuh
P_ref	5.41 KW
y_ref	15.0 GPM
z_ref	35.0 GPM

414 lines from datasheet constructor

w = load_inlet_temp/283.15 is between 1.0196205387799948 and 1.1373437714599643
x = source_inlet_temp/283.15 is between 0.9509486530500126 and 1.0686718857299822
y = load_flow/15.0 is between 1.0 and 2.3333333333333335
z = source_flow/35.0 is between 0.42857142857142855 and 1.0

capacity

Q/197.1 is between 0.3921867072552004 and 1.0

COEFFICIENTS :

constant	w	x	y	z
-3.15195321	-6.26675551e-01	4.33648325	-4.15536144e-03	1.29739431e-01

résiduals: [0.1538172]
rank: 5
singular values: [52.38599566 8.41410462 4.31086687 0.75446333 0.43801738]
r2 is 0.986226310898658

power

P/5.41 is between 0.822550831792976 and 2.1829944547134934

COEFFICIENTS :

constant	w	x	y	z
-9.07527158	9.42229282	4.90021331e-01	-1.04838062e-01	-6.27385780e-03

résiduals: [1.09778633]
rank: 5
singular values: [52.38599566 8.41410462 4.31086687 0.75446333 0.43801738]
r2 is 0.9809137700478064

Curve:QuadLinear,
    hpwtw Heating capacity curve,  !- Name
    -3.15195321,             !- Coefficient1 Constant
    -.626675551,             !- Coefficient2 w
    4.33648325,              !- Coefficient3 x
    -.00415536144,           !- Coefficient4 y
    0.129739431,             !- Coefficient5 z
    0.8,                     !- Minimum Value of w
    1.2,                     !- Maximum Value of w
    0.8,                     !- Minimum Value of x
    1.2,                     !- Maximum Value of x
    1,                       !- Minimum Value of y
    2.5,                     !- Maximum Value of y
    0,                       !- Minimum Value of z
    1,                       !- Maximum Value of z
    0,                       !- Minimum Curve Output
    1,                       !- Maximum Curve Output
    Dimensionless,           !- Input Unit Type for w
    Dimensionless,           !- Input Unit Type for x
    Dimensionless,           !- Input Unit Type for y
    Dimensionless;           !- Input Unit Type for z

Curve:QuadLinear,
    hpwtw Heating power curve,  !- Name
    -9.07527158,             !- Coefficient1 Constant
    9.42229282,              !- Coefficient2 w
    0.490021331,             !- Coefficient3 x
    -.104838062,             !- Coefficient4 y
    -.0062738578,            !- Coefficient5 z
    0.8,                     !- Minimum Value of w
    1.2,                     !- Maximum Value of w
    0.8,                     !- Minimum Value of x
    1.2,                     !- Maximum Value of x
    1,                       !- Minimum Value of y
    2.5,                     !- Maximum Value of y
    0,                       !- Minimum Value of z
    1,                       !- Maximum Value of z
    0,                       !- Minimum Curve Output
    2.5,                     !- Maximum Curve Output
    Dimensionless,           !- Input Unit Type for w
    Dimensionless,           !- Input Unit Type for x
    Dimensionless,           !- Input Unit Type for y
    Dimensionless;           !- Input Unit Type for z

HeatPump:WaterToWater:EquationFit:Heating,
    hpwtw,                   !- Name
    soil_loop_demand_inlet_node,  !- Source Side Inlet Node Name
    soil_loop_demand_outlet_node,  !- Source Side Outlet Node Name
    pac_variable_pump_outlet_node,  !- Load Side Inlet Node Name
    hpwtw_load_side_outlet_node,  !- Load Side Outlet Node Name
    0.00094635,              !- Reference Load Side Flow Rate {m3/s}
    0.00220798,              !- Reference Source Side Flow Rate {m3/s}
    57766,                   !- Reference Heating Capacity {W}
    5410,                    !- Reference Heating Power Consumption {W}
    hpwtw Heating capacity curve,  !- Heating Capacity Curve Name
    hpwtw Heating power curve,  !- Heating Compressor Power Curve Name
    ,                    !- Reference Coefficient of Performance {W/W}
    1;                       !- Sizing Factor

[alexandrecuer]

EXW 240

reference	value
Q_ref	391.9 Mbtuh = 114.85932004689332 KW,
P_ref	8.44 KW
y_ref	70.0 GPM
z_ref	70.0 GPM

414 lines

w = load_inlet_temp/283.15 is between 1.0196205387799948 and 1.1373437714599643
x = source_inlet_temp/283.15 is between 0.9509486530500126 and 1.0686718857299822
y = load_flow/70.0 is between 0.42857142857142855 and 1.0
z = source_flow/70.0 is between 0.42857142857142855 and 1.0

capacity

Q/391.9 is between 0.42459811176320494 and 1.0

COEFFICIENTS:

constant	w	x	y	z
-2.74863178	-0.64381212	3.95720279	-0.00560767	0.1173932

résiduals: [0.21852621]
rank: 5
singular values: [41.8990442 4.71857848 4.11908028 0.75446328 0.43801275]
r2 is 0.9768166186902992

power

P/8.44 is between 1.0 and 2.686018957345972

COEFFICIENTS :

constant	w	x	y	z
-1.02386295e+01	1.09950703e+01	4.08970182e-01	-2.91125764e-01	4.62366451e-03

résiduals: [0.93598044]
rank: 5
singular values: [41.8990442 4.71857848 4.11908028 0.75446328 0.43801275]
r2 is 0.9879437249563959