Twin-Rudder-System Configurations’ Impact on Ferry Ships’ Course-Keeping Ability under Windy Conditions
Correction for this article:
Corrigendum to: Twin-Rudder-System Configurations’ Impact on Ferry Ships’ Course-Keeping Ability under Windy ConditionsPublished at: 19 Nov 2024
Corresponding email: andi_haris@ft.unhas.ac.id
Published at : 19 Apr 2021
Volume : IJtech
Vol 12, No 2 (2021)
DOI : https://doi.org/10.14716/ijtech.v12i2.3829
Muhammad, A.H., Paroka, D., Rahman, S., Firmansyah, M.R., 2021. Twin-Rudder-System Configurations’ Impact on Ferry Ships’ Course-Keeping Ability under Windy Conditions. International Journal of Technology. Volume 12(2), pp. 432-443
| Andi Haris Muhammad | Departement of Marine Engineering, Faculty of Engineering, Hasanuddin University, Gowa 92171, Indonesia |
| Daeng Paroka | Departement of Ocean Engineering, Faculty of Engineering, Hasanuddin University, Gowa 92171, Indonesia |
| Sabaruddin Rahman | Departement of Ocean Engineering, Faculty of Engineering, Hasanuddin University, Gowa 92171, Indonesia |
| Mohammad Rizal Firmansyah | Departement of Naval Architecture, Faculty of Engineering, Hasanuddin University, Gowa 92171, Indonesia |
Ship
course-keeping plays a vital role in navigation safety, especially when a ship is
operating under windy conditions. A method to control ship movements through
rudder-system configuration is necessary to stabilize a ship’s course. This
paper describes the twin-rudder-system configuration design’s impact on a ship’s
course-keeping ability under windy conditions. A time-domain simulation using
the MATLAB-Simulink program was developed for this purpose. A proportional
integral derivative (PID) controller was used to adjust the ship‘s heading
angle according to the desired path. Several parameters—such as relative wind
velocity and directions—were accounted for in the simulation. The result shows
that, at a wind direction of 88o, the ship’s course-keeping speed decreased;
however, increasing wind velocity caused a large deviation in the ship’s
heading angle. Meanwhile, the ship‘s course-keeping speed increased with rising
windspeed directions of 219o. The ship’s course-keeping time, at around
219o under the simulation’s wind direction, was 11.84% lower than during
a previous sea-trial. A possible reason for this difference is that the
simulation excluded waves and currents.
Course-keeping; Proportional integral derivative controller; Ship-tracking; Simulation
Course-keeping quality is significant in ship navigation due to time-saving and reduced fuel consumption (Prpic-Orsic et al., 2016). To achieve quality ship course-keeping and generate accurate heading angles, a controller that considers ship hydrodynamics—including both internal and external disturbance parameters—should be installed (Lee et al, 2009). Keeping a ferry ship on course differs from sea-going ships due to navigation environments and ship particulars (Prpic-Orsic et al., 2016). The navigation environment’s complexity, and especially wind-load forces and moment, makes ferry ships with large superstructures more susceptible to marine accidents (Fujiwara and Ueno, 2006). Many studies have related wind effects to ship maneuvering; wind’s load-force and moment have significantly affected transversal and lateral projections of windage areas due to ships’ large superstructures, as well as wind velocities and directions relative to ships (Fujiwara and Ueno, 2006). Paroka et al. (2016) simulated wind’s effect on ferry ships’ maneuvering, explaining that ship-speed changes caused by wind highly depend on wind velocity and direction. When the wind blows from the bow direction and passes to the ship's starboard (0 to 100o), ship speed tends to decrease. The corresponding decrease in ship speed is insignificant when the wind blows from a starboard direction and passes to the ship’s stern (100 to 180o). Meanwhile, when the wind blows from the side of a ship (20 to 140o), it tends to change the ship’s direction. A ship’s directional deviations due to wind vary by ship type, and a steering response is required. Ohtsu et al. (1996) reported that a wind blowing from starboard-bow quarters (45o) made a ship’s steering becomes less sensitive, but steering became more sensitive when the wind came from the port-stern quarters (135o). Increasing a ship’s speed as wind directions change is crucial (Ohtsu et al., 1996; Paroka et al., 2016). The information informing this behavior is essential to improve ships’ course-keeping quality—especially when ships must take appropriate action to handle wind disturbances. The improving quality of a ship’s course-keeping ability in windy conditions is strongly influenced by steering responses to wind-blowing loads through an appropriately configured rudder system design (Hasegawa et al., 2006). Steering control plays an essential role in responding to external forces to a ship’s yaw motion stability and course-keeping ability during maneuvers (Paroka, 2020).
Many efforts to improve ships’ maneuvering have been conducted
using twin-rudder ship controllers. Yoshimura and
Sakurai (1989) investigated the effect of a ship-fitted, twin-rudder,
twin-propeller configuration on ships’ maneuvering. They found that a
twin-rudder, twin-propeller configuration’s hydrodynamic characteristics did
not differ significantly from the corresponding characteristics of a
single-propeller, single-rudder ship. Khanfir et
al. (2008) proposed predicting a mathematical model coefficient on ships’
maneuvering when fitted with a twin-propeller, twin-rudder configuration.
Furthermore, Khanfir et al. (2011) conducted
captive model tests and free-running tests with a single-propeller, twin-rudder
ship and a twin-propeller, twin-rudder ship. These tests aimed to evaluate
drift angles’ effect on rudder forces and the peculiar phenomena concerning a normal
rudder force for twin-rudder ships.
Other parameters that affect ships’ maneuvering
performance include the distance of spacing between single rudders in
twin-rudder ships. Gim (2013) conducted a
twin-rudder performance test in a circulating water channel using particle
image velocimetry (PIV). He set the distance between two single rudders to 0.5–1.0
times the chord length of the rudder. He found that this spacing distance
between rudders in twin-rudder configurations was also affected by interactions
between rudders, and he also found that this critical distance should be less
than 1.0 times the chord length of the rudder in order to decrease the turbulence
flow and vortices. This result was similar to the findings of Chen et al. (2018), who used numerical simulation
to confirming the excellent characteristics of twin-rudder ships compared to single-rudder
ships. Chen et al. (2018) concluded that a
ship fitted with a twin-rudder configuration would operate very well at 15o
rudder angles. Additionally, the twin rudders’ effective performance stopped at
a lateral spacing equal to 1.3 times the chord length of the rudder.
These previous
studies have shown that a rudder system’s configuration is the most crucial feature
in achieving ship controllability goals. A rudder system must alter ship
control to the desired heading angle, due to both internal and external
disturbance parameters. The current paper focuses on applying the twin-rudder
system to improve ferries’ course-keeping quality under windy conditions. By simulating
fluctuating wind velocity and directions according to a ship’s operating route,
quality course-keeping and accurate heading angles may be achieved, increasing
the ship’s safety.
This
study has analyzed a twin-rudder-system configuration’s influence on a ship’s
course-keeping ability under various wind speeds and directions through the MATLAB-Simulink
computer-simulation program. The results indicated that applying a twin-rudder
system to ferry ships’ to improve their course-keeping ability under windy
conditions is very effective using a PID controller, reducing ship deviation and
increasing ship speed by adjusting the ship's heading angle to the desired
path. The track
trajectory time in
the ferry’s course-keeping highly depends on wind velocity and direction. When the wind blows from the starboard and portside
to the stern (98 to 268o), a ship’s
travel time tends to benefit compared to when the wind blows from the bow to
the side. This
research shows that the PID controller method can be applied to assist ships’ movements
due to other environmental influences, such as waves and currents. However, ships’
course-keeping quality highly depends on the selected PID parameters.
The
authors would like to thank the Institute for Research and Community Service
(LPPM) at Hasanuddin University. Unhas Basic Research supported this work under Grant No.
2006/UN4.1/KEP/2019. The authors would also like to thank the PT. (Persero)
ASDP Indonesia Ferry Branch of Selayar and PT. (Persero) Biro Klasifikasi
Indonesia (BKI) for their sea-trial and ship-data collection. The authors
convey their gratitude to Mr. Muhammad Fahmi Kamil for his assistance during
the study’s simulation.
Carlton, J., 2007. Marine Propellers and
Propulsions. Second edition. London, Elsevier Ltd.
Chen, L., Zhu, X., Zhou, L., 2018.
Hydrodynamic Characteristics of Twin Rudders. In: Proceedings of
International Conference on Computational Methods, Volume 5, pp. 638–649
Dee, D.P., Uppala, S.M., Simmons, A.J.,
Berrisford, P., Poli, P., Kobayashi, S., Andrae, U., Balmaseda, M.A., Balsamo,
G., Bauer, P., Bechtold, P., Beljaars, A.C.M., van de Berg, L., Bidlot, J.,
Bormann, N., Delsol, C., Dragani, R., Fuentes, M., Geer, A.J., Haimberger, L.,
Healy, S.B., Hersbach, H., Holm, E.V., Isaksen, L., Kallberg, P., Kohler, M.,
Matricardi, M., NcNally, A.P., Monge-Sanz, B.M., Morcrette, J.-J., Park, B.-K.,
Peubey, C., de Rosnay, P., Tavolato, C., Thepaut, J.-N., Vitart, F., 2011. The
ERA-Interim Reanalysis: Configuration and Performance of the Data Assimilation
System. Quarterly Journal of the Royal
Meteorological Society, Volume 137, pp. 553–597
Fossen, T.I., 2002. Marine Control
Systems: Guidance, Navigation and Control of Ships, Rigs and Underwater
Vehicles. Trondheim, Norway, Marine Cybernetics AS
Fujiwara, T., Ueno, M., 2006. Cruising
Performance of a Large Passenger Ship in Heavy Sea. Proceedings of the
Sixteenth International Conference on Offshore and Polar Engineering, Volume
3, pp. 304–311
Gim, O.S., 2013. Assessment of Flow
Characteristics A Round Twin Rudder with Various Gaps Using PIV Analysis in
Uniform Flow. Ocean Engineering,
Volume 66, pp. 1–11
Hasegawa, K., Kang, D., Sano, M.,
Nagarajan, V., Yamaguchi, M., 2006. A Study on Improving the Course-Keeping
Ability of a Pure Car Carrier in Windy Conditions. Journal of Marine Science and Technology, Volume 11(2), pp. 76–87
Holtrop, J., Mennen, G.G.J., 1982. An
Approximate Power Prediction Method. Journal
of International Shipbuilding Progress, Volume 29, pp. 166–170
Holtrop, J., 1984. A Statistical Re-Analysis
of Resistance and Propulsion Data. Journal
of International Shipbuilding Progress, Volume 31, pp. 272–276
IMO, 2002. Standards for Ship
Maneuverability. Report of the Maritime Safety Committee on Its Seventy-Sixth
Session-Annex 6 (Resolution MSC. 137(76)). London UK
Khanfir, S., Hasegawa, K., Lee, S.K., Jang,
T.S., Lee, J.H., Cheon, S.J., 2008. 2008K-G4-3 Mathematical Model for
Maneuverability and Estimation of Hydrodynamic Coefficients of Twin-Propeller
Twin-Rudder Ship. In: Proceedings of the Japan Society of Naval
Architects and Ocean, Volume 6, pp. 57–60
Khanfir, S., Hasegawa, K., Nagarajan, V.,
Shouji, K., Lee, S.K., 2011. Manoeuvring Characteristics of Twin-Rudder
Systems: Rudder-Hull Interaction Effect on the Manoeuvrability of Twin-Rudder
Ships. Journal of Marine Science and
Technology, Volume 16, pp. 472–490
Lee, G., Surendran, S., Kim, S.H., 2009.
Algorithms to Control the Moving Ship During Harbour Entry. Applied Mathematical Modelling, Volume
33(5), pp. 2474–2490
Lina, S., Zhiliang, L., Fan, W., 2015.
Comparison of Wind Data from ERA-Interim and Buoys in the Yellow and East China
Seas. Chinese Journal of Oceanology and
Limnology, Volume 33(1), pp. 282–288
Maimun, A., Priyanto, A., Rahimuddin, Sian,
A.Y., Awal, Z.I., Celement, C.S., Nurcholis, Waqiyuddin, M., 2013. A Mathematical
Model on Manoeuvrability of a LNG Tanker in Vicinity of Bank in Restricted Water.
International Journal of Safety Science,
Volume 53, pp. 34–44
Muhammad, A.H., Hasbullah, M., Djabbar.
M.A., Handayani, H., 2015. Comparison Between Conventional and Azimuthing
Podded Propulsion on Maneuvering of a Ferry Utilizing Matlab Simulink Program. International Journal of Technology,
Volume 6(3), pp. 452–461
Nomoto, K., Taguchi, T., Honda, K., Hirano,
S., 1957. On the Steering Qualities of Ships. International Shipbuilding Progress, Volume 4(35), pp. 354–370
Ohtsu, K., Shoji, K., Okazaki, T., 1996.
Minimum-Time Maneuvering of a Ship, with Wind Disturbances. IFAC Proceedings Volumes, Volume 28(2),
pp. 338–345
Paroka, D., Muhammad, A.H., Asri, S., 2015.
Steady State Equilibrium of Ships Maneuvering under Combined Action of Wind and
Wave. Jurnal Teknologi (Science and
Engineering), Volume 76(1), pp. 67-75.
Paroka, D., Muhammad, A.H., Asri, S,. 2016.
Maneuverability of Ships with Small Draught in Steady Wind. Makara Journal of Technology, Volume
20(1), pp. 24-30
Paroka, D., Kamil. M.F., Muhammad, A.H.,
2017a. Experimental Study on Automatic Control for Collision Avoidance of
Ships. Makara Journal of Technology, Volume
21(3), pp. 137–144
Paroka,
D., Muhammad, A.H., Asri, S., 2017b. Prediction of Ship Turning Maneuvers in
Constant Wind and Regular Wave. International
Journal of Technology, Volume 8(3), pp. 387–397
Paroka,
D., 2020. Yaw Motion Stability of an Indonesian Ro-Ro Ferry in Adverse Weather
Conditions. International Journal of
Technology, Volume 11(4), pp. 862–872
Prpic-Orsic, J., Vettor, R., Faltinsen,
O.M., Soares, C.S., 2016. The Influence of Route Choice and Operating
Conditions on Fuel Consumption and CO2 Emission of Ships. Journal of Marine Science and Technology,
Volume 21(3), pp. 434–457
Sukas, O.F., Kinaci, O.K., Bal, S., 2019. Theoretical
Background and Application of MANSIM for Ship Maneuvering Simulations. Ocean Engineering, Volume 192, pp. 1–20
Yoshimura, Y., 2001. Investigation into the
Yaw-Checking Ability in Ship Maneuverability Standard. In: Proceeding of
Prediction of Ship Maneuvering Performance. Tokyo, Japan. pp. 11–19
Yoshimura, Y., Sakurai, H., 1989.
Mathematical Model for the Manoeuvring Ship Motion in Shallow Water (3rd
Report). Journal of Kansai Society of
Naval Architects, Volume 211, pp. 115–126
Yoshimura, Y., Masumoto, Y., 2012. Hydrodynamic
Database and Manoeuvring Prediction Method with Medium High-Speed Merchant
Ships and Fishing Vessels. Proceeding International Conference on Marine
Simulation and Ship Manoeuvrability 2012, Singapore, International Marine Simulation Forum. pp. 494–503