Marine systems simulation
Propeller 4Q
+ Collaboration diagram for Propeller 4Q:

\[ \tan{\beta} = \frac{V_a}{0.7 \pi n D} \]

\[ C_t = \frac{T}{\rho V_{r}^2 \pi D^2/8} \]

\[ C_q = \frac{Q}{\rho V_{r}^2 \pi D^3/8} \]

C_t and C_q curves for a single PD ratio
Loss of propeller/thruster force due to cross flow at inlet

Input ports

Name Width Description
QuaternionNED 4

The unit vector along the propeller thrust direction

RPM 1

The rotational speed of the propeller in RPM

PD 1

The current pitch/diameter ratio of the propeller

VelocityNED 3

The linear velocity which the propeller travels through the water in north-east-down coordinates

PositionNED 3

The position of the propeller in north-east-down coordinates

Output ports

Name Width Description
BetaT 1

The percentage of thrust loss due to ventilation [-]

BetaQ 1

The percentage of torque loss due to ventilation [-]

Ct 1

Currently used thrust coefficient

Cq 1

Currently used torque coefficient

Us 1

The propeller induced velocity on the water particle traveling through the propeller disk in m/s

Rs 1

The radius of the propeller downstream jet in meters

BetaH 1

Current hydrodynamic angle of attack

PD 1

Current propeller PD value

ForceNED 3

The force produced by the propeller in north-east-down coordinates

TorqueNED 3

The torque produced by the propeller in north-east-down coordinates

ForceBody 3

The force produced by the propeller in body coordinates

TorqueBody 3

The torque produced by the propeller in body coordinates

ForceCorrectedNED 3

The force produced by the propeller in north-east-down coordinates

TorqueCorrectedNED 3

The torque produced by the propeller in north-east-down coordinates

ForceCorrectedBody 3

Force corrected for loss effects in body frame

TorqueCorrectedBody 3

The torque produced by the propeller in body coordinates

ShaftTorqueBody 1

Shaft torque in body frame

ShaftTorqueCorrectedBody 1

Shaft torque corrected for losses in body frame

ShaftPower 1

Shaft power consumed

ShaftPowerCorrected 1

Shaft power consumed corrected for losses

Configuration parameters

Name Width Description
D 1

Propeller diameter

PropellerType 1

Type op propeller(used for ventilation model)

WakeFraction 1

Hull wake fraction (decrease in inflow velocity vs free stream velocity)

ThrustDeduction" 1

Thrust deduction factor (reduction in effective thrust from low pressure region generated on hull by propeller)

PD N

Number of PD values in use

Ct \(0...N\) M Various thrust coefficients
Cq \(0...N\) M Various torque coefficients
ShaftPowerScaling 1

Linear scale applied to shaft power output

PropellerThrustScaling 1

Linear scale applied to thrust output

ReverseRotationDirection 1 Reverse rotation direction in visualization

References

[1] Volker Bertram, "Practical Ship Hydrodynamics", Butterworth and Heinemann, Oxford 2000 [2] Ralf Bachmayer, Louis L. Whitcomb and Mark A. Grosenbaugh, "An Accurate Four-Quadrant Nonlinear Dynamical Model for Marine Thrusters: Theory and Experimental Validation", IEEE Journal of Oceanic Engineering, Vol. 25, No. 1, January 2000