Systems, methods and apparatus for controlling operation a hybrid powertrain are disclosed that use low power storage and motor/generator components in line haul operations. In one embodiment, a line haul drive cycle includes a low power motor/generator executing a power assistance operation of the hybrid powertrain powered by electricity from a low power storage responsive to a monitoring by a line haul controller of ascensions of the hybrid vehicle at or near a constant speed over an uneven terrain. The line haul drive cycle further includes the low power motor/generator executing a regenerative braking operation of the hybrid powertrain supplying captured electric energy to the low power storage responsive to a monitoring by the line haul controller of descensions of the hybrid vehicle at or near the constant speed over the uneven terrain.