Energy mass balanceCostingHydrogen
LOHC hydrogenation (toluene to MCH)
Screening reaction energy and levelized cost (EUR/kg H2) of binding hydrogen into a toluene/methylcyclohexane liquid organic carrier for ambient-condition transport (hydrogenation leg only).
Costing
Delivered electricity price for feed pumping and recycle-gas compression auxiliaries.
Price of fresh toluene used to make up carrier losses each cycle. In a closed loop only losses are charged.
Real discount rate used to compute the capital recovery factor (CRF).
Economic lifetime for levelized cost calculation.
Levelized hydrogenation cost (LCO_hyd)
Total annual cost divided by annual H2 bound (hydrogenation leg only)
Levelized cost: CAPEX component
Annualized CAPEX share of the levelized hydrogenation cost
Levelized cost: toluene make-up component
Carrier make-up share of the levelized hydrogenation cost
Scaled specific plant CAPEX
Installed plant cost per unit of hourly H2 binding capacity after scale curve and clamps
Total project CAPEX (all-in)
Installed plant cost plus indirect/owner costs (screening scope)
Annualized CAPEX (CRF-based)
Total project CAPEX converted to an annual payment equivalent
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Carrier mass balance
Catalyst family for the hydrogenation reactor. Affects auxiliary electricity, reference CAPEX and O&M assumptions.
Hydrogen binding rate of the hydrogenation plant (kg H2 charged onto the carrier per hour).
Toluene carrier mass per kg H2
Fresh toluene needed to bind one kg of hydrogen (stoichiometric basis)
Methylcyclohexane (charged carrier) per kg H2
Mass of the hydrogen-rich liquid leaving the reactor per kg H2
Reaction heat released per kg H2
Exothermic heat the reactor cooling loop must reject (not an electricity input)
Annual balance
Average annual utilization of the hydrogenation plant. Used to annualize throughput and costs.
Annual hydrogen bound
Hydrogen charged onto the carrier over the year
Annual auxiliary electricity
Electrical energy for pumping and recycle-gas compression
Annual toluene make-up
Fresh toluene charged to replace carrier losses (closed-loop basis)
Annual reaction heat rejected
Low-grade heat (180-200 C) available from the reactor cooling loop
Effective auxiliary electricity
Pumping and recycle-gas compression per kg H2, adjusted by capacity-factor penalty
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CAPEX breakdown
Plant equipment cost (installed basis)
Toluene inventory + hydrogenation island + balance of plant
CAPEX breakdown: toluene inventory
Initial carrier charge (~10 days), the dominant CAPEX item
CAPEX breakdown: hydrogenation island
Reactor, heat exchangers and recycle compressor
CAPEX breakdown: balance of plant
Storage, utilities, controls and civil works
About
Calculator context
About
Calculator context
Screening model for the hydrogenation (charging) leg of a toluene/methylcyclohexane (MCH) liquid organic hydrogen carrier (LOHC). Hydrogen is chemically bound onto toluene (C7H8 + 3 H2 -> C7H14) so it can be shipped and stored as an ambient, low-vapour-pressure liquid, then released downstream by dehydrogenation (excluded here). The model computes the carrier mass balance per kg H2, the exothermic reaction heat that the reactor cooling loop must reject, the auxiliary electricity for feed pumping and recycle-gas compression at ~10 bar, and a levelized hydrogenation cost (EUR/kg H2) built from annualized CAPEX (capital recovery factor), fixed O&M, toluene make-up and auxiliary electricity. Reference techno-economics follow Argonne National Laboratory (Papadias, Peng, Ahluwalia 2021, OSTI 1807903): the toluene inventory dominates plant CAPEX (~51%) and the hydrogenation island (reactor, heat exchangers, recycle compressor) is ~31%; levelized MCH production lies between ~0.30 USD/kg-H2 (closed-loop capex-only) and ~1.35 USD/kg-H2 (one-way toluene). All costs are EUR (2023) screening estimates, not a vendor quote.
Model
91 variables — inputs, calculations and outputs, with their dependencies.
Model
91 variables — inputs, calculations and outputs, with their dependencies.
| Variable | Value | Unit | Depends on |
|---|---|---|---|
| 1 | — | — | |
| 2083 | kg H2/h | — | |
| 90 | % | — | |
| 60 | EUR/MWh | — | |
| 1 | EUR/kg | — | |
| 0.08 | ratio | — | |
| 20 | years | — |
| Variable | Formula | Unit | Depends on |
|---|---|---|---|
if((<=0)+((*0.01)<0)+((*0.01)>)+(<0)+(<0)+(<0)+(<=0)+(<)+(>)>0,1,0) | bool | ||
*(*0.01) | h/year | ||
clamp(+*(-(*0.01)),,) | — | ||
/max(,) | mol/kg | ||
/max(,) | mol/kg H2 | ||
abs()* | kJ/kg H2 | ||
if(==,,) | kWh/kg | ||
if(==,,) | EUR/(kg H2/h) | ||
if(==,,) | — | ||
*(/max(,))^(-) | EUR/(kg H2/h) | ||
*(+) | EUR | ||
if(==,,) | 1/year | ||
clamp(,,) | 1/year | ||
if(<,/max(,),(*(+)^)/max(((+)^-),)) | — | ||
* | EUR/year | ||
* | EUR/year |
| Variable | Formula | Unit | Depends on |
|---|---|---|---|
*/max(,) | kg toluene/kg H2 | ||
/max(**,) | kg MCH/kg H2 | ||
/max(,) | kWh-th/kg H2 | ||
* | kWh/kg | ||
* | kg/year | ||
** | kg/year | ||
*/max(,) | MWh/year | ||
*/max(,) | MWh-th/year | ||
clamp(,,) | EUR/(kg H2/h) | ||
* | EUR | ||
* | EUR | ||
* | EUR | ||
* | EUR | ||
*(+) | EUR | ||
* | EUR/year | ||
* | EUR/year | ||
+++ | EUR/year | ||
/max(,) | EUR/kg H2 | ||
/max(,) | EUR/kg H2 | ||
/max(,) | EUR/kg H2 |
Assumptions
48 assumptions used in the calculations
Assumptions
48 assumptions used in the calculations
Prevents division-by-zero and NaN propagation in edge cases.
Market range Not applicable (numerical parameter).
0.000001Numerical stability constant for division guards.Avoids inline literals in DSL expressions per spec.
Market range Exact.
1Numeric constant.Converts between grams (molar masses) and kilograms.
Market range Exact.
1000g/kgUnit conversion.Converts kWh to MWh for annual energy reporting.
Market range Exact.
1000kWh/MWhUnit conversion.Converts reaction enthalpy from kJ to kWh-thermal.
Market range Exact.
3600kJ/kWhUnit conversion.Used for capacity-factor annualization.
Market range 8760 (non-leap year); 8784 (leap year).
8760h/yearCalendar-year hours convention.Converts the gravimetric capacity expressed in wt% to a fraction.
Market range Exact.
0.011/%Unit conversion.Required because the DSL has no strings.
Market range Not applicable.
1Numeric selector encoding for Pt catalyst.Required because the DSL has no strings.
Market range Not applicable.
2Numeric selector encoding for Ni catalyst.Validates the selector domain.
Market range1Input validation bound.Validates the selector domain.
Market range2Input validation bound.Represents non-ideal auxiliary operation at lower utilization in a simple way.
Market range0Screening utilization penalty coefficient.Prevents the penalty from improving performance below the reference consumption.
Market range 1 (by definition).
1Clamp lower bound for the penalty factor.Avoids unrealistically large penalties at low capacity factors in a screening model.
Market range1.3Clamp upper bound for the penalty factor.Stoichiometric H2 uptake per toluene molecule.
Market range 3 (exact, stoichiometric).
3mol H2/mol tolueneReaction stoichiometry of toluene hydrogenation.Converts moles of toluene to mass.
Market range 92.14 (exact).
92.14g/molMolar mass of toluene.Molar mass of the charged carrier (documentation/cross-check).
Market range 98.19 (exact).
98.19g/molMolar mass of methylcyclohexane.Converts hydrogen mass to moles.
Market range 2.016 (exact).
2.016g/molMolar mass of hydrogen.Cross-checks the stoichiometric carrier mass and gives MCH per kg H2.
Market range 6.1 wt% (toluene/MCH system).
6.1wt%Gravimetric hydrogen storage capacity of MCH-TOL.Documents the volumetric storage density (context for transport advantage).
Market range 47 kg H2/m3 (ambient).
47kg H2/m3Volumetric hydrogen density of MCH-TOL.Endothermic dehydrogenation enthalpy; hydrogenation is its exothermic reverse.
Market range68.3kJ/mol H2Reaction enthalpy of MCH dehydrogenation.Drives the exothermic reaction heat that must be rejected by the cooling loop.
Market range -69 to -67 kJ/mol H2.
-68.3kJ/mol H2Reaction enthalpy of toluene hydrogenation.Documents the reactor pressure that sets recycle-gas compression duty.
Market range10barReactor operating pressure.Documents the reactor temperature and grade of rejected heat.
Market range240CReactor operating temperature.Sets the recycle-gas duty (excess H2 above stoichiometric is recompressed).
Market range4mol H2/mol tolueneReactor feed H2-to-toluene molar ratio.High single-pass conversion supports the near-complete carrier charging assumption.
Market range >99% demonstrated.
99%Toluene conversion in the hydrogenation reactor.High selectivity supports treating the product as essentially pure MCH.
Market range ~99% demonstrated.
99%MCH selectivity in the hydrogenation reactor.Carrier make-up needed to replace losses each charging cycle.
Market range0.0051/cyclePer-cycle toluene loss fraction.Screening auxiliary electricity intensity for a Pt-catalyzed reactor at 10 bar.
Market range0.6kWh/kgAuxiliary electricity per kg H2 (Pt catalyst).Screening auxiliary electricity intensity for a Ni-catalyzed reactor.
Market range0.8kWh/kgAuxiliary electricity per kg H2 (Ni catalyst).Anchors the specific-CAPEX scale curve at the ANL reference plant size.
Market range Order 1000-3000 kg H2/h for mid-scale plants.
2083kg H2/hReference H2 throughput for the scale curve.Reference installed plant cost per unit of hourly H2 binding capacity for a Pt catalyst.
Market range34800EUR/(kg H2/h)Reference specific CAPEX (Pt) at the reference size.Reference installed plant cost per unit capacity for a cheaper Ni catalyst.
Market range30000EUR/(kg H2/h)Reference specific CAPEX (Ni) at the reference size.Represents economies of scale for the hydrogenation plant.
Market range0.7Scale exponent for plant CAPEX (Pt).Represents economies of scale for the hydrogenation plant.
Market range0.7Scale exponent for plant CAPEX (Ni).Prevents unrealistically low specific costs from scaling outside the intended range.
Market range12000EUR/(kg H2/h)Clamp minimum for scaled specific CAPEX.Prevents unrealistically high specific costs from scaling outside the intended range.
Market range90000EUR/(kg H2/h)Clamp maximum for scaled specific CAPEX.Allocates plant CAPEX to the carrier inventory (dominant share).
Market range0.51Toluene inventory share of plant CAPEX.Allocates plant CAPEX to the reactor/HX/compressor island.
Market range0.31Hydrogenation-island share of plant CAPEX.Allocates the remaining plant CAPEX to storage, utilities, controls and civil works.
Market range0.18Balance-of-plant share of plant CAPEX.Installation is already included in the reference specific CAPEX; no extra factor applied.
Market range 0 here; 0.2-0.6 if starting from a bare-equipment cost.
0Installation factor on equipment cost (zero to avoid double counting).Indirect and owner costs are already included in the reference CAPEX; no extra factor applied.
Market range 0 here; 0.1-0.5 if starting from an installed-equipment cost.
0Indirect/owner factor on installed plant cost (zero to avoid double counting).Represents routine maintenance, staffing and catalyst service for a Pt reactor.
Market range0.031/yearFixed O&M fraction of total project CAPEX (Pt).Represents routine maintenance and catalyst service for a Ni reactor.
Market range0.0351/yearFixed O&M fraction of total project CAPEX (Ni).Prevents implausibly low O&M fractions.
Market range0.0151/yearClamp minimum for the O&M fraction.Prevents implausibly high O&M fractions.
Market range0.061/yearClamp maximum for the O&M fraction.Documentation anchor for the upper bound of the levelized hydrogenation cost.
Market range Upper bound ~1.35 USD/kg-H2 (one-way carrier).
1.35USD/kg H2Reported levelized MCH production cost.Documentation anchor for the lower bound of the levelized hydrogenation cost.
Market range Lower bound ~0.30 USD/kg-H2 (closed loop, capex only).
0.3USD/kg H2Reported capex-only hydrogenation cost.
Sources
Primary reference
Sources
Primary reference
Argonne National Laboratory (Papadias, Peng, Ahluwalia 2021, OSTI 1807903) — Hydrogen carriers: toluene hydrogenation techno-economics; Wikipedia LOHC; Chiyoda SPERA.