Unnormalize conical K\"ahler-Ricci flow

We generalize the maximal time existence of K"{a}hler-Ricci flow in Tian-Zhang and Song-Tian to conical case. Furthermore, if the twisted canonical bundle $K_M+(1-\beta )[D]$ is big or big and nef, we can expect more on the limit behaviors of such conical K"{a}hler-Ricci flow. Moreover, the results still hold for simple normal crossing divisor.