Distributing higher currents demanded by a power consuming load(s) exceeding overcurrent limits of a current limiter circuit for a power source in a power distribution system. The power distribution system receives and distributes power from the power source to a power consuming load(s). The power distribution circuit is configured to limit current demand on the power source to not exceed a designed source current threshold limit. The power distribution circuit includes an energy storage circuit. The power distribution circuit is configured to charge the energy storage circuit with current supplied by the power source. Current demanded by the power consuming load(s) exceeding the source current threshold limit of the power source is supplied by the energy storage circuit. Thus, limiting current of the power source while supplying higher currents demanded by power consuming load(s) exceeding the source current limits of the power source can both be accomplished.