LiNixMnyCo1−x−yO2 (NMC) and LiFePO4 (LFP) as a cathode material have been widely employed for cells designed for high power applications. However, NMC needs further improvements in rate capability and stability that can be accomplished by blending it with LFP. Working mechanism of the blended cells is very complex and hard to understand. In addition, characteristics of the blended cells, particularly the plateau and path dependence of LFP materials, make it extremely difficult to estimate the state of charge and state of health using classical electric equivalent circuit models. Therefore, a reduced order model based on electrochemical and thermal principles is developed with objectives for real time applications and validated against experimental data collected from a large format pouch type of lithium ion polymer battery. The model for LFP is based on a shrinking core model along with moving boundary and then integrated into NMC model. Responses of the model that include SOC estimation and responses of current and voltage are compared with those of experiments at CC/CV charging and CC discharging along with different current rates and temperatures. In addition, the model is used to analyze effects of mass ratios between two materials on terminal voltage and heat generation rate.