Within the last 5 years there has been renewed interest in explosive pulsed power with programs springing up at institutions in several countries as well as a revival of programs in countries that have a history in this field. As a result, there have been several advances in our understanding of the physics of these devices, which will be discussed in this paper. Most of the advances were the result of a Multidisciplinary University Research Initiative and a New World Vista Program sponsored by the Air Force Office of Scientific Research (MURI). Other advances have come from Loughborough University in the United Kingdom, companies such as Diehl and Rheinmetall in Germany, and government laboratories such as the Agency for Defense Development in South Korea. The most persistent research on most of these devices was done by A.B. Prishchepenko and his team, V.E. Fortov at the Institute of Chemical Physics, and All-Russian Institute of Experimental Physics (also known at VNIIEF or Arzamas-16) in Russia with work continuing today. In this paper, recent advances in seven types of explosive driven pulsed power generators will be presented.