Hybrid powertrain for a pump system

A pump system, comprising:

• a hybrid powertrain, comprising:
• a gaseous fuel engine;
• a transmission coupled to the gaseous fuel engine;
• a driveshaft coupled to the transmission;
• a hydraulic fracturing pump coupled to the driveshaft;
• and
• a motor system coupled to the hybrid powertrain;
• a power source electrically connected to the motor system;
• and
• a controller configured to:
• cause the hybrid powertrain to operate in a hybrid mode;
• monitor, based on causing the hybrid powertrain to operate in the hybrid mode, a flow rate or a pressure of the hydraulic fracturing pump;
• continuously adjust, in the hybrid mode, a torque distribution between the gaseous fuel engine and the motor system to maintain the flow rate or the pressure of the hydraulic fracturing pump steady by causing the gaseous fuel engine and the motor system to operate according to a first torque distribution, based at least in part on the flow rate or the pressure of the hydraulic fracturing pump, including the motor system assisting the gaseous fuel engine in driving the hydraulic fracturing pump and the motor system braking the gaseous fuel engine in driving the hydraulic fracturing pump;
• based on a determination that an upshift of the transmission is to be performed, while continuously adjusting the torque distribution between the gaseous fuel engine and the motor system, cause the gaseous fuel engine and the motor system to operate according to a second torque distribution, based at least in part on the flow rate or the pressure of the hydraulic fracturing pump, including the motor system assisting the gaseous fuel engine in driving the hydraulic fracturing pump;
• and
• cause performance of the upshift after causing the gaseous fuel engine and the motor system to operate according to the second torque distribution.