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We analyze theoretically the properties of the recently introduced andexperimentally demonstrated converter of frequency to power. The system iscomposed of a hybrid single-electron box with normal island and superconductinglead, and the detector of the energy flow using a thermometer on a normal metalbolometer. Here we consider its potential for metrology. The errors in powerarise mainly from inaccuracy of injecting electrons at the precise energy equalto the energy gap of the superconductor. We calculate the main systematic errorin form of the excess average energy of the injected electrons and itscumulants, and due to sub-gap leakage. We demonstrate by analytic and numericalcalculations that the systematic error in detection can, in principle, be mademuch smaller than the injection errors, which also, with proper choice ofsystem parameters, can be very small, < 1 %, at low enough temperature. Finallywe propose a simplified configuration for metrological purposes.

Ultimate accuracy of frequency to power conversion by single-electron injection