This project is concerned with modeling conduction process in liquid dielectrics, specifically where transformer oil is subjected to high electric stress. The physical processes including the generation, recombination and motion of free charge carriers are modeled so that the development of streamers and their respective discharge characteristics in transformer oil can be simulated using a FEA software package. The advantage of this FEA software is its ability to accurately model dynamic, thermal and electrical processes simultaneously. Future work involves validation experiments that will be undertaken at the Tony Davies High Voltage Laboratory. This project is undertaken with collaboration with the State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University.