Abstarct: This dissertation models a solar pump system baxsed on a photovoltaic system and combines it with a drip irrigation system to irrigate farms away from the power grid, along with experimental and field experiments in the northern climate. Direct coupling the solar pump to the photovoltaic panels and not using the battery will reduce system costs, but on the other hand, optimizing and adapting the working point of the pump and photovoltaic panels will complicate drip irrigation, especially when connected to the drip irrigation system. A model is presented in this dissertation that has the ability to predict system behavior in real time at all hours of the day. An efficient and suitable model was presented that predicts the main parameters of the system, including the amount of radiation, the amount of pump flow, the dropper flow rate, the total dynamic head, the panel power, the nominal power of the pump and the surface temperature of the plate. Determine the effect of different days of the year and environmental effects on system performance. A generalized mathematical model baxsed on the principle of correlation in pumps is presented to predict the minimum radiation required for pumping a solar pump system connected to drip irrigation. Particle swarm optimization method has been used to optimize panel installation angle, panel power and pump power. A new optimization approach is proposed baxsed on the water needs of the plant. Nominal power optimization (maximum power of solar panels) was considered as the objective function in this paper. This optimization method first detects the amount of water requirement baxsed on the climatic conditions of the region and extracts the optimal values baxsed on the radiation data and temperature conditions of the region. The results of optimizing the optimal angle of installation of the plates are presented on a daily basis as well as a fixed monthly and annual angle. The results showed that the optimal fixed installation angle of the panel baxsed on the plant irrigation period is 15.5 degrees and the optimal fixed installation angle baxsed on the annual angle is 34 degrees. The effect of parameters on the mathematical model presented was determined using field experiments on plant irrigation days. The data collection system measured the ambient temperature, the temperature of the solar panels, the amount of solar radiation, the amount of instantaneous flow of the pump, the pressure of the dropper line, the current and voltage of the output of the photovoltaic panels and the input to the electric pump. The output behavior of a positive displacement pump during the day is divided into three parts: ascending, constant and descending. The radiation threshold for starting the pump was measured and compared with the value of the presented model of 125 watts per square meter. The start-up threshold values of the pump measured in ten sunny days showed lower values than the start-up threshold in the optimal model. According to the normal cell operating temperature model, the maximum panel surface temperature on irrigation days is 67.5 degrees, the maximum temperature recorded on test days is 60.7 degrees. At the start of the pump, a sharp increase in panel surface temperature was observed.