🔬 Detailed Models — Component-by-Component Analysis

This page presents the exergy balances of all reactors modelled with full Thermoptim detail. All balances were generated using Thermoptim exergy structures and processed with ExerBalanceHX. The thermal power Q_th and energy efficiency η energy are computed from the source components as:

Q_th = Σ Xh_resource / (1 − T₀/Tk)     η energy = W_net / Q_th

T₀ = 15 °C for all balances. Several reactors use a condensation temperature different from 15 °C — this is noted in the table and discussed in each section.

This page complements the one that presents the datasheets by reactors and provides access to their flowsheets.


This chart summarises at a glance the diversity of the 12 cycles analysed — from low-temperature WCR designs to gas-cooled and supercritical reactors, via sodium and helium cycles. Each polygon is a thermodynamic signature. Hover over a name in the legend to isolate a cycle.

Summary Table

ReactorTk (°C)Tc (°C)η Xhη energySource %Cond %Turbines %FWH %
EPR Flamanville 33341573.4 %38.5 %30.0 %22.7 %32.8 %1.5 %
ABWR33035*72.4 %37.8 %31.2 %18.6 %33.5 %7.9 %
CANDU Pickering2921568.4 %33.5 %24.1 %25.7 %34.1 %3.2 %
NuScale US60033931*67.6 %35.8 %56.6 %12.8 %25.9 %4.6 %
VVER-10003131565.9 %33.5 %19.7 %17.8 %46.8 %9.3 %
RBMK-10003241565.2 %33.7 %30.1 %17.0 %38.2 %7.1 %
Superphénix6001564.7 %43.3 %25.6 %16.0 %16.0 %3.2 %
AGR Hartlepool6991561.8 %43.5 %37.3 %9.7 %18.1 %3.5 %
HTR-PM8001558.6 %41.7 %40.0 %†8.6 %13.6 %8.3 %
NuScale US460 (77 MWe)31828*59.8 %30.7 %36.1 %9.8 %38.9 %2.8 %
VVER-702831557.5 %27.7 %39.5 %19.2 %36.6 %1.6 %‡

* Air-cooled condenser (ABWR, NuScale US460) or model-specific condensation temperature (NuScale US600: Tc = 31 °C). † HTR-PM source % = reactor core only (43.5 %). The steam generator He→steam (20.6 %) is modelled as an internal exchanger without Tk annotation. Core + SG = 64.1 %. ‡ VVER-70 FWH %: estimated — feedwater temperature Talim not documented; see modelling note below.

This parallel coordinates chart traces in a single view the 12 cycles analysed. Each polyline is a second thermodynamic signature: where lines cross between two axes, reactors swap their ranking on that criterion. Hover over a name in the legend to isolate a cycle.


AGR Hartlepool — Tk = 699 °C

η Xh = 61.8 %, η energy = 43.5 %. CO₂ gas-cooled, four-section SG. Steam at 541 °C / 170 bar.

Component group%
Reactor core (Tk = 699 °C)37.3 %
SG economiser11.1 %
SG evaporator6.7 %
SG reheater6.0 %
SG superheater6.9 %
SG total30.7 %
Condenser9.7 %
Turbines18.1 %
FWH 1–43.5 %

The condenser (9.7 %) is the lowest in the corpus — direct benefit of the high steam temperature. FWH1 has an exergy efficiency of 52.7 %, the least efficient heater in the corpus, operating over the largest temperature difference.

📐 Exergy Balance


NuScale US600 (50 MWe) — Tk = 339 °C, Tc = 31 °C

η Xh = 67.6 %, η energy = 35.8 %. Integral PWR, natural circulation, 300 °C / 34 bar, three feedwater heaters. Tc = 31 °C is the model-specific condensation temperature.

Component group%
Steam generator (Tk = 339 °C)56.6 %
Turbines (7 stages)25.9 %
Condenser (Tc = 31 °C)12.8 %
FWH (LP2, LP3, HP4)4.6 %

The steam generator dominates at 56.6 % — the structural cost of a low-temperature natural-circulation design at 300 °C. Three FWH stages limit regenerative complexity.

📐 Exergy Balance

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NuScale US460 (77 MWe) — Tk = 318 °C, Tc = 28 °C

η Xh = 59.8 %, η energy = 30.7 %. Integral PWR, natural circulation, 300 °C / 34 bar, three feedwater heaters. Tc = 28 °C is the actual condensation temperature of the model (0.038 bar). Air-cooled condenser design basis per NRC SDAA.

Component group%
Steam generator (Tk = 318 °C)36.1 %
Turbines (4 stages)38.9 %
Condenser (Tc = 28 °C)9.8 %
FWH (FWH1–3)2.8 %

Turbine 4 alone carries 15.7 % of total irreversibilities, with a polytropic efficiency of 60.5 % — physically correct for wet steam (quality 0.885) at 0.581 bar expanding at a pressure ratio of 8.3 to a condenser at 0.038 bar.

📐 Exergy Balance


ABWR — Tk = 330 °C, Tc = 35 °C

η Xh = 72.4 %, η energy = 37.8 %. Direct-cycle BWR: steam generated directly in the core, no steam generator. The condensation temperature of 35 °C reflects the air-cooled condenser design basis per NRC SDAA.

Component group%
Source (Tk = 330 °C)31.2 %
Turbines33.5 %
Condenser (Tc = 35 °C)18.6 %
FWH (LP1–LP4, HP5, HP6)7.9 %
Reheater (net)4.3 %

The direct-cycle architecture eliminates steam generator irreversibilities. The source (31.2 %) is comparable to the EPR despite a simpler secondary circuit. With Tc = 35 °C, the condenser share (18.6 %) is lower than would appear at 15 °C.

📐 Exergy Balance


RBMK-1000 — Tk = 324 °C

η Xh = 65.2 %, η energy = 33.7 %. Direct-cycle boiling water channel reactor, 284 °C / 285 bar.

Component group%
Steam Generator (Tk = 324 °C)30.1 %
Turbines (HP1–HP4, LP1–LP4)38.2 %
Condenser17.0 %
FWH (LP1–LP5, MP1)7.1 %
Reheaters 1 and 2 (net)5.4 %

Six feedwater heaters (7.1 %) operate over a wide temperature range. HP1 turbine is the most loaded individual stage (10.3 %), fed by direct-cycle steam at moderate quality.

📐 Exergy Balance


VVER-1000 — Tk = 313 °C

η Xh = 65.9 %, η energy = 33.5 %. Modern horizontal steam generator (PGV-1000M), primary at 278 °C / 160 bar.

Component group%
Steam generator + economiser (Tk = 313 °C)19.7 %
Turbines (HP1–HP3, LP1–LP5)46.8 %
Condenser17.8 %
FWH (HP1, HP3, HP4, LP1–LP4)9.3 %
Reheaters 1 and 2 (net)3.4 %

The source (19.7 %) is the lowest among all WCR detailed models, reflecting the well-matched primary temperature and horizontal SG design. The turbines (46.8 %) are consequently the dominant component — a paradoxical sign of a well-optimised source side.

📐 Exergy Balance


VVER-70 — Tk = 283 °C

η Xh = 57.5 %, η energy = 27.7 %. K-70-29 turbine, saturated steam at 29 bar, moisture separator only (no reheater). Novovoronezh units 1–2, 210 MWe (3 × 70 MWe), 1964 design.

Component group%
Source (generator + economiser, Tk = 283 °C)39.5 %
Turbines36.6 %
Condenser19.2 %
FWH1.6 %

Modelling note: The K-70-29 turbine operates on saturated steam with a moisture separator only — no reheater. The feedwater temperature Talim is not documented in available sources for the Novovoronezh plant; it has been estimated from the known thermal power (760 MWth) and electrical output (210 MWe). A ±20 °C uncertainty on Talim propagates to approximately ±3 pts on the source % and FWH % individually, but affects η Xh by less than ±0.5 pt.

📐 Exergy Balance


CANDU Pickering — Tk = 292 °C

η Xh = 68.4 %, η energy = 33.5 %. Natural-uranium reactor, primary at 260 °C / 45 bar.

Component group%
Steam Generator (Tk = 292 °C)24.1 %
Turbines (HP1, HP2, LP1–LP5)34.1 %
Condenser25.7 %
FWH (LP1–LP3, HP5, HP6)3.2 %
Reheater 2 (net)4.8 %

The condenser (25.7 %) is the highest among all detailed WCR models — a consequence of the low primary temperature (260 °C) and a relatively simple feedwater heating circuit.

📐 Exergy Balance


Superphénix — Tk = 600 °C

η Xh = 64.7 %, η energy = 43.3 %. Sodium-cooled fast reactor with intermediate Na–Na heat exchanger (IHX). Steam at 487 °C.

Component group%
Reactor core (Tk = 600 °C)25.6 %
IHX (Na primary → Na secondary)4.1 %
SG economiser9.8 %
SG evaporator5.4 %
SG superheater11.5 %
SG total26.7 %
Reheater (net)4.5 %
FWH (HP1, HP2, FWH2)3.2 %
Condenser16.0 %
Turbines (HP1–HP4, LP1–LP3)16.0 %

The SG superheater (11.5 %) is the dominant SG component — steam rising from saturation (~310 °C) to 487 °C against secondary sodium. The turbines (16.0 %) are the most balanced of all reactors. The IHX costs only 4.1 % for its fundamental safety function.

📐 Exergy Balance


HTR-PM — Tk = 624 °C

η Xh = 58.6 %, η energy = 41.7 %. Helium coolant at 750 °C outlet, six-stage turbine, steam at 566 °C / 138 bar.

Component group%
Reactor core (Tk = 800 °C)40.0 %
Steam generator He→steam27.7 %
Condenser8.6 %
Turbines T1–T613.6 %
FWH (HPH4 + LPH1–3)8.3 %
He blower + pumps0.8 %

Note on source accounting: The steam generator (20.6 %) is modelled as an internal exchanger without a Tk annotation and is not counted in the Source % column above.

The full source chain (core + SG) represents 64.1 % of total irreversibilities — comparable to the AGR structure, where the CO₂ circuit also contributes significantly to the source term.

HTR-PM Shindao Bay: a second exergy balance has been computed from operational data published by Dong et al. (Nat. Commun. 16, 2778, 2025), based on the HMI readings of the actual plant. The Shindao Bay plant was operating at ~80 % of rated power, with turbine polytropic efficiencies of ~70 % (vs 83–93 % at nominal). The exergy balance reveals a drop from η Xh = 60.9 % to 50.4 % — entirely attributable to the turbines, which rise from 18.9 % to 30.5 % of total irreversibilities. The source and condenser contributions are barely affected.

A full comparison between the nominal design and the Shindao Bay operating data is presented on the dedicated HTR-PM page.

📐 Exergy Balances

See also: HTR-PM — Design vs Shindao Bay operating data


Canadian SCWR — Tk = 670 °C

η Xh = 68.5 %, η energy = 47.6 %. Supercritical water-cooled reactor, direct cycle, coolant outlet at 625 °C / 25 MPa. The highest η energy of all reactors in the corpus — a direct consequence of the supercritical steam conditions.

Component group%
Source (Tk = 670 °C)51.9 %
Turbines (HP1, IP1–IP2, LP1–LP3)20.1 %
Condenser11.1 %
FWH (LP1–LP4, deaerator, HP5–HP8)10.5 %
Reheater (net)4.1 %
Pumps, vanes2.3 %

The source dominates at 51.9 % — seemingly paradoxical for a high-efficiency reactor, but thermodynamically consistent: at Tk = 670 °C the Carnot factor (1 − T₀/Tk) is 0.570, so even a well-matched heat exchange still attributes a large fraction of the exergy budget to the source. The condenser (11.1 %) is among the lowest in the corpus — only the AGR and HTR-PM go lower — a direct benefit of the high steam temperature.

The FWH contribution (10.5 %) is notable: nine feedwater heating stages (4 LP heaters, a deaerator and 4 HP heaters) operating over a wide temperature range from the condenser (~30 °C) to the supercritical feedwater inlet (~314 °C) generate significant mixing irreversibilities. This is the thermodynamic price of regenerative heating in a supercritical direct cycle.

Note on the SCWR model: the Canadian SCWR design studied here is based on the pre-conceptual design described in Chatoorgoon (2008) and Leung et al. (2010). Primary data for a validated prototype are not yet available. The exergy balance reflects the thermodynamic model used in Chapter 8 of the book.

📐 Exergy Balance


EPR Flamanville 3 — Tk = 334 °C

η Xh = 73.4 %, η energy = 38.5 %. Eight feedwater heaters, double reheat, steam at 294 °C / 78 bar. The most thermodynamically efficient reactor in the corpus.

Component group%
Steam generator + economiser (Tk = 334 °C)30.0 %
Turbines (HP1–HP3, IP1–IP2, LP1–LP4)32.8 %
Condenser22.7 %
Feedwater heaters (FWH6, FWH7, LP1–LP4)1.5 %
Reheaters (net)3.7 %
Vanes, mixers, pumps9.3 %

The FWH contribution (1.5 %) is the lowest in the corpus — eight stages each operating at a small temperature difference. No single component dominates: this well-distributed balance is the signature of a highly optimised cycle.

📐 Exergy Balance


Cross-Reactor Observations

Condenser and η energy: as η energy increases, condenser % systematically decreases — from 25.7 % (CANDU, 33.5 %) to 9.7–10.4 % (AGR, HTR, 41–44 %). High-temperature cycles reject proportionally less heat to the cold source.

FWH importance: VVER-1000 (9.3 %) and RBMK (7.1 %) show significantly higher FWH contributions than the EPR (1.5 %) — reflecting wider temperature ranges in their feedwater heating systems.

Turbine loading paradox: the VVER-1000 (46.8 %) has the highest turbine % of all detailed models despite its good η Xh (65.9 %). A well-optimised source (19.7 %) leaves more relative weight to the turbines — this is a sign of balance quality, not inefficiency.