When you used the word 'inverter', we assumed you wanted pseudo-AC out, near some standard line frequency. When you used the phrase 'duty cycle',we assumed you wanted something that could provide rated power for some stated period, with 3x longer rest periods of zero power output to cool off. As opposed to 'continuous duty', which has enough thermal dissipation to not need rest periods.
We made our assumptions because the word and the phrase used have accepted definitions within a range of trades. By the way, commercial inverters may use step-up frequencies up to and beyond 20 kHz in order to reduce the size of the magnetics; 120Hz magnetics are not substantially smaller than 60Hz magnetics.
You seem to actually want a pulsed DC output with variable pulse width at an increased voltage. Or I may be misunderstanding you.
Please try to specify your desires with more precision and detail, without misappropriating standard industry terms.
Mike Halloran
Pembroke Pines, FL, USA