An updated and improved version of the 0D divertor and scrape-off layer (SOL) model published in Siccinio et al (2016 Plasma Phys. Control. Fusion58 125011) was coupled with the 1.5D transport code ASTRA (Pereverzev 1991 IPP Report 5/42, Pereverzev and Yushmanov 2002 IPP Report 5/98 and Fable et al 2013 Plasma Phys. Control. Fusion55 124028). The resulting numerical tool was employed for various scans in the major radius R and in the toroidal magnetic field BT—for different safety factors q, allowable loop voltages Vloop and H factors—in order to identify the most convenient choices for an electricity producing tokamak. Such a scenario analysis was carried out evaluating self-consistently, and simultaneously, the core profile and transport effects, which significantly impact on the fusion power outcome, and the divertor heat loads, which represent one of the most critical issues in view of the realization of fusion power plants (Zohm et al 2013 Nucl. Fusion53 073019 and Wenninger et al 2017 Nucl. Fusion57 046002). The main result is that, when divertor limits are enforced, the curves at constant electrical power output are closed on themselves in the plane, and a maximum achievable power exists—i.e. no benefits would be obtained from a further increase in R and BT once the optimum is reached. This result appears as an intrinsic physical limit for all those devices where a radiative SOL is needed to deal with the power exhaust, and where a lower limit on the power crossing the separatrix (e.g. because of the L–H transition) is present.