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A new concept for constructing explosive-driven primary power sources is proposed. The power source is designed as a sequence of identical elementary miniature explosive-driven primary power cells that connect to each other in series or in parallel. Each explosive-driven cell contains a miniature ferromagnetic generator (FMG) based on the effect of transverse shock-wave demagnetization of an Nd2Fe14B hard ferromagnet. Experimental results are presented for high-voltage system utilizing FMGs containing 12.9 cm3 ferromagnet energy-carrying elements. The developed two-cell system produces a high voltage pulse with an amplitude of 32 kV and rise time of 3.5 mus.