People usually research modulation mode 3 of SVM for matrix converter discussed in this paper. Actually, other different modulation modes of SVM for matrix converter are worth studying. Two novel modulation modes are put forward for matrix converter for the first time in this paper, expanding its modulation modes of SVM. First, SVM for matrix converter is described. Then the 3 modulation modes of SVM for matrix converter are discussed carefully. Third, the simulation model is set up for each modulation mode. Finally, not only the flexibility of these three modulation modes is verified but also some important creative conclusions are obtained by simulation experiments. The former two modulation modes put forward in this paper are obviously prior to the mode 3 which is often studied for matrix converter, which could be a theoretically important creativity for matrix converter. They are worthy of further being studied.