A powdered fuel includes a powder including a material consisting of particles having a particle size distribution median and other statistical characteristics such that less than about 5% of the particles by weight have a size larger than an explosibility size limit for the material. The particle size distribution median and other statistical characteristics are selected based on the use of the powder as a substantially explosible fuel. In one embodiment the material is biomass. In other embodiments, the material is a metal material, a metal alloy, a metal oxide, a plastic material, or a hydrocarbon-bearing solid. A powdered fuel dispersion includes an oxidizing gas and a powdered fuel dispersed in the oxidizing gas at a ratio such that the powdered fuel dispersion is explosible. Proper control of the moving dispersion produces a stationary deflagrating wave that substantially consumes the fuel to produce energy.