Piezoelectric transducers are the key to APT systems. Choosing, designing, and optimizing the piezoelectric transducer is particularly important to improve the performance of the APT system. Therefore, this paper first lists the application of piezoelectric transducer materials’ development, its advantages, and disadvantages. Secondly, while some behaviors of piezoelectric transducers require a more stereoscopic three-dimensional analysis, their basic behaviors can be described by a one-dimensional model of piezoelectric transducers. Therefore, this paper analyzes and compares several one-dimensional equivalent circuits of piezoelectric transducers and summarizes these models’ application range and value, which will significantly improve the efficiency of designing and optimizing piezoelectric transducers.