Electricity production by PV is growing world-wide, and grid parity of PV-electricity can be found in many countries, even in low sunlight countries, such as Sweden (at latitude 58°). High installation-rate of PV-systems poses a challenge to the grid-operator. Building-integrated PV-supply potential analysis was performed for Linköping municipality in Sweden based on GIS-data for all the buildings in the municipality. The Linköping model provides a high spatial resolution (textgreater180 000 buildings). The data are sorted based on azimuth and tilt, categorized in steps of 10°, and then used to construct hourly power supply data. The supply data are fed into the existing electricity load-profile of Linköping municipality. The strength and novelty of the method is that it provides the possibility of varying the installation-rate in different spatial directions to better match the load-profile. The results indicate a solar supply-rate of 19, 43 and 88% respectively if using the tilted roofs (textgreater900 kWh/m2 × yr), the flat-roofs optimized with tilted panels for a winter solar supply and the fully available PV-area on existing buildings (8.1 km2). Nevertheless, in approximately 70, 1400 and textgreater3000 h/yr, respectively, surplus-power is created, which could be used to match a future load in a wider electro-mobility scenario.