As one of the key components in signal processing system, Analog-to-digital converter (ADC) devices play a fundamental role in interfacing the processing core with the analogue world. ADC nonlinear errors limit the performance of signal-processing systems, Identified ADC models could be used to estimate an inverse calibration model in order to compensate the errors and increase the converter dynamic range. This paper presents a novel time-delay-based power series modeling method to identify ADC nonlinear behavior considering phase effects. Also, a set of simulations and experimental results is given, spurious-free dynamic range (SFDR), evaluated before and after calibration, proves the validity and preciseness of the ADC nonlinearity model.