Impact of a grid-connected PV system application in a bioclimatic house toward the zero energy status in the north of Algeria

•A TRNSYS model of solar heating system coupled with a bioclimatic house validated.•Energy balance of a bioclimatic house with optimized solar heating system established.•Zero energy house level reached if grid connected PV system of 0.8KW installed.•Cost of grid connected PV system and return on investment discussed.