The power required at any given time for the vessel to move can be broken down into two parts. The first component describes the power required to move through the media and the second describes the virtual power related to the changes in the sea medium frame with respect to the fixed coordinate frame. By denoting the components as powers related to the speed over ground (SOG), speed through water (STW) and sea current, the following relation can be defined:
where PSOG(t) is the power required to move the vessel with respect to the ECR frame, PSWT(t) is the power required to move the vessel through the water and air and Pcurrent(t) is the virtual power produced or consumed by the sea current.
The power required to propel the vessel through the sea and air can be further broken down to several subcomponents that may vary depending on vessel type. This breakdown can be expressed as:
where the subscript i denotes the different power components related to the movement through water. Pwind(t) is the power produced or consumed by the movement of the lesser density medium (atmosphere) frame with respect to the higher density medium frame (sea) – that is, the wind power.
The power components related to the movement through water depend on the vessel type. The typical components include such phenomena as draft, squatting, rudder usage, stabilizer usage, propelling effort, the floating position of the vessel, the dominant sea state and other factors.
The different components can be described as follows:
– Draft – changes in the hydrodynamic drag due to the changes in the vessel draft.
– Squatting – additional power required in the shallow waters, where the power required to displace the water is increased.
– Rudder usage – additional drag due to the rudder angle of attack.
– Stabilizer usage – additional drag due to the stabilizer fin angles of attack.
– Propelling effort – power required to overcome both the hydrodynamic resistance of the vessel and vessel inertia.
– Floating position – additional power required for moving the vessel due to suboptimal trimming and listing of the vessel, that is, to overcome the impact of the increased hull resistance and inefficient orientation of the propulsion water flow field.
– Sea state – additional power required to overcome the impact of the rough seas such as high waves slamming the vessel.
– Other factors that contribute to unidentifiable phenomena such as the hydrodynamics of the media itself.
Typical actions that can be taken by the crew include trimming the vessel for a more optimal attitude and changing heading to minimize the impact of the wind and sea state losses, assuming that the deviations from the original route are permitted. The vessel operator can take several different actions based on the time series data. The route plans and schedules may be altered to avoid circumstances where the vessel is constantly going against currents, tides and prevailing winds. The vessel loading can be re-planned such that it is in accordance with the optimal draft for the intended operation profile. In addition, the power distribution time series provides a transparent view for monitoring the overall performance of the vessel.
The realized shaft-power breakdown time series collected onboard a vessel with the EMMA™ Onboard Tracker system installed is illustrated in Figure 4. According to the figure, it is apparent that significant savings could be obtained simply by changing the attitude of the vessel. In addition, the impact of the wind and sea state is clearly distinguishable. The negative wind powers indicate that the vessel hull is acting as a sail and the vessel is actually being pushed forward by the wind, thereby saving energy.
In conclusion, the power breakdown monitoring system is a good example of a system that uses the information obtained from all levels of the vessel and extracts some new physical quantities. These quantities provide additional information about phenomena that are not directly measurable, yet have a significant impact on the vessel’s performance and its energy efficiency.