Energy Aperture

CALC-058

Physical sanity check: delivered energy per kilogram launched

Calculation · Cited by CLM-0257 , CLM-0259

What this is

This is the project's own arithmetic, published in full so it can be checked rather than taken on trust. It is not a source. Every input it uses is cited to a record, and the conclusion it reaches only carries as far as those inputs do.

Feeds CLM-0257. Answers QST-004. Basis: physical units (kWh/kg), no currency.

Script. lcoe-model.py SECTION 9, section_sanity_check(), line 901.

Why it was needed. Included per the originating task's own instruction to sanity-check the dollar model against a physical quantity. A cost model that is internally consistent can still be built on an impossible physical premise, and a kWh-per-kg figure is the cheapest test of that.

Inputs.

QuantityValueSourceStated or assumed
RD1 lifetime delivered energy5.332e11 kWhderived, 30-yr lifeSTATED (derived)
RD1 total hardware mass launched17,700,000 kginitial build plus two refurbishment cycles, i.e. 3x initial upmassSTATED (derived), consistent with CALC-053's launch-count derivation
RD2 lifetime delivered energy5.314e11 kWhderivedSTATED (derived)
RD2 total hardware mass launched30,300,000 kg3x initial upmassSTATED (derived)
Terrestrial PV comparatororder 1e4 to 1e5 kWh/kg-ASSUMED / illustrative. Not a cited study result

Working, transcribed.

RD1   5.332e11 kWh / 17,700,000 kg = 30,122 kWh/kg
RD2   5.314e11 kWh / 30,300,000 kg = 17,537 kWh/kg

Result: RD1 delivers about 30,122 kWh per kilogram launched; RD2 about 17,537.

Conclusion. The two designs deliver nearly identical total energy from very different total mass, which is the physical statement of the same fact CALC-055 reaches financially.

Where this fails. A physical consistency check only. It does not establish whether this is a favourable or unfavourable ratio, because the comparator is assumed rather than sourced. The terrestrial-PV figure quoted in the write-up is illustrative. Until a real comparator is cited, this record states two numbers and nothing about them.

Cite this

energyaperture.com/calc/calc-058

CALC-058. The working above, not a source document.