The wireless power transmission (WPT) technology is one of the most popular research areas nowadays. And frequency diverse array (FDA) is a new array system with the ability to generate a range-angle dependent beam pattern. Therefore, some researchers are engaged in designing WPT systems based on FDA technology (FDA-WPT) instead of phased array technology. Different from the phased array system, the array factor of an FDA system is time-variant. Therefore, the existing beam collection efficiency (BCE) models based on the phased array are not suitable for the FDA-WPT system. In this letter, we derive and present accurate models of the FDA-WPT system. In some existing research, the system configuration of the target area where the power harvesting end is located does not conform to the actual wireless power transmission scenario. In this letter, we correct the system configuration and apply the proposed model to compare and analyze the power transfer performance of the FDA-WPT system and the phased array based WPT (PA-WPT) system.