A hybrid power system comprises a power controller adapted to be in communication with a first power source, a second power source, and a load. The power controller is configured to: control discharging of the first power source without permitting discharging of the second power source to power the load when a power drawn by the load is greater than a predetermined threshold power for a time period; and control discharging of the second power source to power the load when the power drawn by the load is greater than the predetermined threshold power starting from when the time period ends.
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