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TMHP: Thermodynamic Models for Heat Pumps

Cycle-resolved heat-pump models for Python studies, EnergyPlus plants, and FMI co-simulation

Refrigerant-agnostic · condition-agnostic · integration-ready · first-principles from the cycle up

Python License Docs CoolProp

Documentation · Quick start · Integrations · Validation · Sister project: Energy-Exergy Analysis Engine


Overview

TMHP is a Python library of thermodynamic cycle models for heat pumps. The released public model families currently cover air-, ground-, and water-source DHW boilers plus air- and ground-source space-conditioning heat pumps for heating and cooling.

Each released cycle-resolved model family solves the same closed refrigerant cycle from first principles — no manufacturer-specific curve fits, no per-unit recalibration. Swap the refrigerant, change the source side, or move the operating point, and the shared core produces a coherent answer.

TMHP is now also an integration package. The same cycle-resolved heat-pump core can run natively in Python, answer a building-simulator plant callback, or be exported as FMI 2.0 and FMI 3.0 Co-Simulation FMUs. The current EnergyPlus and FMI adapters wrap the validated ASHPB reference implementation, while the documentation keeps that adapter scope separate from the broader refrigerant-cycle model family.

What you need What TMHP gives you
Physics beyond catalogue curves Refrigerant state points, compressor work, heat exchangers, COP, and convergence diagnostics from a shared thermodynamic cycle core
Refrigerant and operating-point studies Any CoolProp-supported refrigerant can be swapped at runtime without re-fitting empirical coefficients
Building-simulation coupling EnergyPlus Python Plugin support for plant-loop surrogate modeling
Tool-to-tool co-simulation FMI 2.0 and FMI 3.0 FMU export for the current ASHPB step() adapter, aligned with the shared cycle core
Reproducible validation Samsung EHS Mono HT Quiet R32 parity benchmark regenerated from source

Why physics-based?

Most building-energy simulators (EnergyPlus, TRNSYS, and friends) model a heat pump as an empirical curve fit against the manufacturer's catalogue. That is cheap and accurate inside the calibration envelope, but it carries structural limits:

Curve-fit models This library
Tied to the operating range of the original test data Predictive across the full refrigerant envelope
Refrigerant is baked into the coefficients Any CoolProp-supported refrigerant, swappable at runtime
Refrigerant state is hidden Full thermodynamic state at every cycle node
Requires re-fitting for every new unit One model class, parameterized by geometry & components

You pay for it with a few extra parameters and a slightly more expensive time step. What you get in return is a model you can trust outside its calibration range — across refrigerants, operating envelopes, and system topologies that no single catalogue covers.


Integration-ready

TMHP keeps the heat-pump thermodynamics in one reusable model boundary instead of duplicating the same component logic for every simulator.

Integration path Use it when TMHP boundary
Native Python You are running design studies, validation, notebooks, or regression tests directly in Python analyze_steady() and analyze_dynamic() across released model families; step() for the current ASHPB dynamic adapter boundary
EnergyPlus Python Plugin EnergyPlus should keep the IDF, schedules, plant loop, tank state, meters, and reporting TMHP answers each plant-solver request through the current steady ASHPB reference adapter
FMI FMU A co-simulation master such as FMPy, Modelica tooling, OMSimulator, Dymola, or Simulink should drive the heat pump as an external component TMHP provides separate FMI 2.0 and FMI 3.0 adapters over the current ASHPB dynamic boundary: weather, draw, tank, power, heat, COP, and diagnostics

This makes TMHP useful for whole-building studies, model-based controls, refrigerant screening, heat-pump component benchmarking, and cross-tool validation while keeping the core package independent of any one simulator.


How it works

TMHP released source/sink family matrix: ASHPB, GSHPB, and WSHPB serve DHW tanks, while ASHP and GSHP serve space-conditioning loads with the same refrigerant-cycle core

Released model-family view — the refrigerant-cycle core stays fixed while the public class boundary changes.



Cycle architecture: source → evaporator → compressor → condenser → expander, with a cycle-closure solver optimizing the evaporating-side approach temperature and compressor speed

Shared cycle architecture — bold blocks are reused across ASHPB, GSHPB, WSHPB, ASHP, and GSHP. Open the interactive version →

Each time step solves a closed refrigerant cycle coupled to the surrounding system (tank, building, ground loop, …). The active demand boundary supplies the target duty — tank charge for boiler families or indoor-unit load for space-conditioning families — and the cycle solver selects a feasible minimum-power operating point. The cycle closes on a physical optimum, not on fitted coefficients.

Sub-model Method
Refrigerant state points CoolProp (REFPROP-grade equation of state)
Compressor work Isentropic + volumetric + mechanical efficiency
Condenser / evaporator ε-NTU (effectiveness-NTU) heat exchanger model
Outdoor unit fan ASHRAE 90.1-style variable-speed-drive (VSD) power curve + air-side ε-NTU
Ground heat exchanger g-function (ground thermal response) via pygfunction
PV / solar thermal pvlib-driven irradiance & power
Cycle closure Internal minimization → optimal evaporating temperature
Plotting backend dartwork-mpl — thin matplotlib utility layer

The same refrigerant cycle is reused across the released cycle-resolved families. What varies between models is composed along three independent axes:

  • Environmental medium — air, ground, or water in the released families. Water is currently exposed as a DHW-boiler family; air and ground also have space-conditioning classes.
  • Demand side — the released public boundaries are a domestic-hot-water tank or a building load. AirSourceHeatPump and GroundSourceHeatPump use Q_r_iu > 0 for cooling and Q_r_iu < 0 for heating.
  • Auxiliary subsystems — parallel energy contributors that augment (not replace) the cycle: solar thermal collectors (STC) preheat the tank, photovoltaics (PV) offset compressor and fan electricity, and an energy storage system (ESS) buffers surplus PV generation.

Each concrete model in the next section is a fixed, code-backed combination of these axes.


Installation

Requires Python ≥ 3.10 and the uv package manager.

git clone https://github.com/bet-lab/tmhp.git
cd tmhp
uv sync

That's it — uv sync reads pyproject.toml and resolves every dependency against the committed uv.lock.

Runtime dependencies pulled in automatically:

Optional dev / docs tooling lives behind PEP 735 dependency groups, so the runtime install stays lean:

uv sync --group dev      # ruff, mypy, pytest, pytest-cov
uv sync --group docs     # sphinx + shibuya theme + authoring / UX extensions

Optional co-simulation tooling lives behind the integrations extra:

uv sync --extra integrations  # pythonfmu, pythonfmu3, and fmpy for FMU adapters

The EnergyPlus Python Plugin adapter uses pyenergyplus, which is bundled with an EnergyPlus installation rather than published on PyPI.

See the installation guide for the full per-group breakdown and the CI-equivalent --locked workflow.


Quick start

Steady-state operating point

The first runnable example uses AirSourceHeatPumpBoiler because it is the quantitatively validated reference case and has the smallest input surface. The same refrigerant argument and diagnostic pattern carry over to the other cycle-resolved source/sink families documented below; load inputs and heat-duty output names are model-specific.

from tmhp import AirSourceHeatPumpBoiler

# Build a model — the refrigerant is a constructor argument (default: R134a)
ashpb = AirSourceHeatPumpBoiler(ref="R32")

# Steady state: tank at 55 °C, ambient at 5 °C, target condenser duty 8 kW
result = ashpb.analyze_steady(
    T_tank_w=55.0,
    T0=5.0,
    Q_ref_tank=8_000.0,
)

print(f"COP (refrigerant) : {result['cop_ref [-]']:.2f}")
print(f"COP (system)      : {result['cop_sys [-]']:.2f}")
print(f"Heating capacity  : {result['Q_ref_tank [W]'] / 1e3:.2f} kW")
print(f"Compressor power  : {result['E_cmp [W]'] / 1e3:.2f} kW")
print(f"Evap sat. temp.   : {result['T_ref_evap_sat [°C]']:.1f} °C")
print(f"Cond sat. temp.   : {result['T_ref_cond_sat_v [°C]']:.1f} °C")

Swap the refrigerant by changing one argument — no recalibration, no manufacturer data:

from tmhp import AirSourceHeatPumpBoiler

ashpb_r290 = AirSourceHeatPumpBoiler(ref="R290")    # propane
ashpb_r744 = AirSourceHeatPumpBoiler(ref="R744")    # CO₂
ashpb_r410 = AirSourceHeatPumpBoiler(ref="R410A")

Time-stepping dynamic simulation

import numpy as np
from tmhp import AirSourceHeatPumpBoiler

ashpb = AirSourceHeatPumpBoiler(ref="R32")

simulation_period_sec = 24 * 3600
dt_s                  = 60
n_steps               = simulation_period_sec // dt_s

dhw_usage_schedule = np.zeros(n_steps)            # m³/s per step
T0_schedule        = np.full(n_steps, 5.0)        # outdoor °C per step

df = ashpb.analyze_dynamic(
    simulation_period_sec = simulation_period_sec,
    dt_s                  = dt_s,
    T_tank_w_init_C       = 50.0,
    dhw_usage_schedule    = dhw_usage_schedule,
    T0_schedule           = T0_schedule,
)

# df is a pandas DataFrame with the same keys as analyze_steady, per time step.

Models

The core public families below are code-backed combinations of source boundary and demand boundary. ASHPB also exposes the current dynamic step() boundary used by the FMI adapters; the other families use analyze_steady() and analyze_dynamic().

Air-source heat pump boilers (ASHPB)
Class Description
AirSourceHeatPumpBoiler Core ASHPB — refrigerant cycle + storage tank
ASHPB_STC_preheat + Solar thermal collector preheat
ASHPB_STC_tank + STC with stratified tank
ASHPB_PV_ESS + PV + Energy Storage System
Ground-source heat pump boilers (GSHPB)
Class Description
GroundSourceHeatPumpBoiler Core GSHPB with g-function borehole model
GSHPB_STC_preheat + STC preheat
GSHPB_STC_tank + STC with stratified tank
GSHPB_STC_ground + STC charging the borehole loop
GSHPB_STC_routed + STC routed per step to tank or ground
GSHPB_PV_ESS + PV + Energy Storage System
Water-source heat pump boiler (WSHPB)
Class Description
WaterSourceHeatPumpBoiler Water-loop source + DHW tank
Space-conditioning heat pumps
Class Description
AirSourceHeatPump Air source + building load; Q_r_iu > 0 cooling, < 0 heating
GroundSourceHeatPump Ground source + building load; Q_r_iu > 0 cooling, < 0 heating
GroundSourceHeatPumpEmpirical GSHP EquationFit shortcut; not a refrigerant-cycle-core family
Supporting modules
Module Purpose
refrigerant.py CoolProp state-point helpers
thermodynamics.py Cycle analysis — COP, compression ratio, isentropic efficiency
compressor_envelope.py Compressor pressure-ratio operating-envelope guard
heat_transfer.py ε-NTU heat exchanger calculations
hx_fan.py Air-side fan & heat-exchanger model
g_function.py Borehole g-function (pygfunction)
ground_coupling.py Borehole load-history coupling abstraction
weather.py Outdoor air temperature & weather utilities
dhw.py Domestic hot water demand profiles
cop.py COP correlations
enex_functions.py Energy / exergy helpers
dynamic_context.py Per-step simulation state
subsystems.py Subsystem composition (STC / PV / UV)
stratified_tank.py Multi-node stratified tank backend
hybrid_tank.py Hybrid thermocline tank backend
simulation_summary.py Stdout summary tables
visualization.py Plotting facade
mollier_diagram.py T-h / P-h / T-s plots
integrations/fmu.py FMI 2.0 co-simulation adapter for the current ASHPB step() boundary
integrations/fmu3.py FMI 3.0 co-simulation adapter for the current ASHPB step() boundary
integrations/energyplus_plugin.py EnergyPlus Python Plugin adapter for the current ASHPB steady-state boundary
uv_treatment.py UV treatment subsystem
calc_util.py Unit conversions
constants.py Physical constants

Validation

AirSourceHeatPumpBoiler has been benchmarked against the Samsung EHS Mono HT Quiet R32 14 kW unit (Technical Data Book PDF) across 15 operating points$T_{\mathrm{LWT}} \in {40, 50, 65}$ °C paired with outdoor air temperatures from −10 to 30 °C. The model tracks the catalogue COP to MAE 0.35 (MAPE 10.1 %) without any unit-specific calibration.

Parity plot: predicted vs target COP across 15 operating points

Per-point comparison (catalogue conditions and target values follow Table 1 of the KJACR 2026 paper; predicted values come from re-running the released code via scripts/validation/samsung_ehs_parity.py):

$\mathrm{ID}$ $T_{\mathrm{LWT}}~[^\circ\mathrm{C}]$ $T_0~[^\circ\mathrm{C}]$ ${Q}_{\mathrm{ref,cond}}~[\mathrm{kW}]$ $\mathrm{COP}_{\mathrm{target}}$ $\mathrm{COP}_{\mathrm{pred}}$ $\mathrm{AE}$ $\mathrm{APE}$
1 40 −10 13.45 2.30 2.37 0.07 3.0 %
2 40 2 12.42 3.04 3.83 0.79 25.8 %
3 40 12 14.65 5.07 4.67 0.40 7.9 %
4 40 20 15.69 6.48 5.65 0.83 12.8 %
5 40 30 16.98 7.68 7.43 0.25 3.2 %
6 50 −10 13.89 2.00 1.84 0.16 7.8 %
7 50 2 13.27 2.56 3.04 0.48 18.9 %
8 50 12 14.76 3.86 3.71 0.15 3.9 %
9 50 20 15.97 4.78 4.34 0.44 9.2 %
10 50 30 17.48 5.95 5.37 0.58 9.8 %
11 65 −10 13.97 1.73 1.42 0.31 17.7 %
12 65 2 13.71 2.04 2.37 0.33 16.1 %
13 65 12 16.38 2.84 2.73 0.11 3.7 %
14 65 20 17.48 3.34 3.17 0.17 5.1 %
15 65 30 18.84 4.04 3.79 0.25 6.1 %
Mean 0.35 10.1 %

Notation

  • TLWT — Leaving Water Temperature, the manufacturer's catalogue reference. The model's tank water temperature is set 2.5 K below TLWT for TLWT ≤ 60 °C and 5 K below for TLWT > 60 °C, per the paper's EWT/LWT offset.
  • T0 — outdoor (dead-state) air temperature.
  • Qref,cond — target condenser heat rate.
  • COP — system Coefficient of Performance, Qref,cond / (Ecmp + Efan).
  • AE — Absolute Error, |COPpred − COPtarget|.
  • APE — Absolute Percentage Error, (AE / COPtarget) × 100 %.
  • MAE / MAPE — mean AE / APE across the 15 points.

The parity plot and the table above are regenerated by scripts/validation/samsung_ehs_parity.py, so anyone can reproduce the comparison from source.

Scope. Only AirSourceHeatPumpBoiler has been quantitatively validated against catalogue data. The other system classes (GroundSourceHeatPumpBoiler, WaterSourceHeatPumpBoiler, AirSourceHeatPump, GroundSourceHeatPump, and the subsystem-augmented variants) share the same refrigerant-cycle core and pass smoke tests on representative operating points, but they have not yet been benchmarked against unit-specific data.

📄 Jo, H. & Choi, W. "Thermodynamic Modeling of Refrigerant Cycle in an Air-Source Heat Pump Boiler and Performance Validation", KJACR (2026, in press).

📘 Samsung Electronics, EHS Mono HT Quiet R32 Technical Data Book (2024) — PDF


Documentation

The full documentation — getting-started guide, concept pages, tutorials, API reference, and validation report — lives at https://bet-lab.github.io/tmhp/.

If you're new to the library, start with the getting-started guide for a three-step path from uv sync to your first dynamic simulation.


Project layout
tmhp/
├── src/tmhp/                # Importable package
│   ├── __init__.py                # Public re-exports
│   │
│   ├── air_source_heat_pump.py            # ASHP (space conditioning)
│   ├── air_source_heat_pump_boiler.py     # ASHPB core
│   ├── ashpb_stc_preheat.py
│   ├── ashpb_stc_tank.py
│   ├── ashpb_pv_ess.py
│   │
│   ├── ground_source_heat_pump.py         # GSHP (space conditioning)
│   ├── ground_source_heat_pump_boiler.py  # GSHPB core
│   ├── gshpb_stc_preheat.py
│   ├── gshpb_stc_tank.py
│   ├── gshpb_stc_ground.py
│   ├── gshpb_stc_routed.py
│   ├── gshpb_pv_ess.py
│   ├── gshp_empirical.py
│   │
│   ├── water_source_heat_pump_boiler.py   # WSHPB core
│   │
│   ├── refrigerant.py             # CoolProp helpers
│   ├── thermodynamics.py          # Cycle analysis
│   ├── compressor_envelope.py     # Pressure-ratio guard
│   ├── heat_transfer.py           # ε-NTU
│   ├── hx_fan.py                  # Air-side fan & heat-exchanger model
│   ├── g_function.py              # Borehole g-function
│   ├── ground_coupling.py         # Borehole load-history coupling
│   ├── weather.py
│   ├── dhw.py
│   ├── cop.py
│   ├── enex_functions.py
│   ├── dynamic_context.py
│   ├── subsystems.py
│   ├── stratified_tank.py
│   ├── hybrid_tank.py
│   ├── simulation_summary.py
│   ├── visualization.py
│   ├── mollier_diagram.py
│   ├── integrations/                # FMI / EnergyPlus adapters
│   ├── uv_treatment.py
│   ├── calc_util.py
│   └── constants.py
│
├── docs/                          # Sphinx documentation
├── tests/                         # Unit / smoke tests
├── pyproject.toml
├── uv.lock
└── README.md

Cite

If you use this library in academic work, please cite the validation paper:

@article{Jo2026Thermodynamic,
  title   = {Thermodynamic Modeling of Refrigerant Cycle in an Air-Source
             Heat Pump Boiler and Performance Validation},
  author  = {Jo, Habin and Choi, Wonjun},
  journal = {Korean Journal of Air-Conditioning and Refrigeration Engineering},
  year    = {2026},
  note    = {in press}
}

Related work

  • Sister project: Energy-Exergy Analysis Engine — an energy / exergy analysis library developed in parallel by the same team. It consumes simulation output from TMHP (or any other source) and computes the second-law balance; the two projects ship as separate packages.

License

MIT License © 2025 betlab (Habin Jo, Wonjun Choi). See LICENSE for the full text.


Acknowledgments

This work was supported by the Ministry of Land, Infrastructure and Transport (MOLIT) of the Republic of Korea and the Korea Authority of Land & Infrastructure Safety (KALIS), through the 2025 Industry Discovery Competition for Achieving Carbon Neutrality in the Building Sector (「'25년 건물분야 탄소중립 달성을 위한 산업발굴 경진대회」), organized by the Green Remodeling Center.

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