Abstract In developing countries where most population does not have access to the conventional electricity network and depends on agriculture for their subsistence, the agricultural sector has been negatively affected by the low coverage of the national energy network in areas with potential for irrigation. The low index of the population with access to electricity leads to the development of affordable and clean energy for agricultural and domestic uses. Photovoltaic water pumping systems for irrigation (PVWPSI) have been widely used to increase access to energy for irrigation in many countries and several models' design are being developed to improve their performance and deployment. However, during the PVWPSI design, many of the existing models’ somehow fail by considering the water demand as constant throughout crops productive cycle. In this paper, a new dynamic mathematical model design of PVWPSI is presented as a guide tool to electrical energy potential assessment for irrigation and supply other energy demands through the horticultural crops water demand characteristic in its different development phases. In this context, a PVWPSI design is made, using as a case study a typical 0.5ha for tomato production in Boane district, Mozambique. The results show that, generally horticultural crops have four development phases. Yet, PVWPSI should be sized according to the crop development phase, whose water demand is maximum. The tomato sizing phase is the flowering, and the daily averages surplus electrical energy in the system in the four tomato development phases, after irrigation, are 5.02 kWh, 2.87 kWh, 1.02 kWh, and 2.55 kWh, that can be saved and redirected to cover other electrical energy needs.