Ongoing research to shrink feature sizes of LSI circuits leads to an always increasing number of logic gates in a circuit. In general, the complexity of test generation depends on the size of a circuit. Furthermore, modern test generation methods have to consider power reduction in addition to fault detection, since excessive power caused by testing may result in overtesting. In this work, we propose a method to reduce the computation time of low-power test generation. The proposed method specifies gates which will cause power issues, consequently reducing the search space for X-filling technique. The reduction of search space for Xfilling also further minimizes the amount of switching activity. Experimental results for circuits of OpenCores provided by IWLS2005 benchmarks show that the proposed method achieves both a reduced computation time and at the same time increased power reduction compared to previous methods.