[0001] The present invention relates to an automatic anchor watching control system for
preventing dragging or dredging of an anchor of a ship at anchor.
[0002] Anchor watching or maintaining the anchor bearing of a ship at anchor is an important
task. When the anchor securely holds in the sea bottom, the position of the ship is
determined by the length of the anchor chain and the external forces.
[0003] Under such condition, the collision of the ship with another ship or obstacles can
be avoided by selecting a proper anchorage point with the location of the ship relative
to other ships and obstacles taken into consideration.
[0004] If an external force being exerted on the ship exceeds the holding force which is
determined by the anchor, anchor chain and sea bottom soil, dragging or movement of
the anchor in the sea bottom will happen.
[0005] Once dragging occurs, the dragging will continue, unless the external force is reduced
rapidly, and may result in an accident such as a collision.
[0006] In conventional practice, changes in the direction of the bow relative to a fixed
object on the ground are observed, and if the ship moves without changing this direction,
the ship will be judged to be dragging its anchor. Further, the ground position is
determined by a position-finding method to detect whether the ship is dragging its
anchor or not, and when the ship is dragging its anchor, certain measures may be taken
to secure holding of the anchor, said measures including extension of the anchor chain
to increase the holding power, operation of the main engine to generate thrust, and
at the same time, use of check helm, and operation of the bow thruster.
[0007] According to the above-mentioned conventional anchor watching method, the judgement
whether the ship is dragging its anchor, the judgement of the magnitude of the holding
force of the anchor, anchor chain and sea bottom soil, and of the magnitude of external
forces being exerted on the ship, are made solely on the experience of the ship's
crew rather than on accurately engineered (numerical) estimates, and the anchor watching
operation is effected through windlasses, the main engine, etc., controlled by the
crew. The effectiveness of the anchor watching thus depends on the crew's activity,
and there is a possible problem of insufficient anchor watching due to lack of capability
or perception of the crew.
[0008] The present invention was conceived in view of the above situation. The primary objective
of the present invention is to achieve an anchor watching system which automatically
detects, with appropriate detectors, the environmental conditions of the ship at anchor,
including sea phenomena, weather, and condition of the sea bottom, and automatically
operates the main engine or the like in a timely manner according to the condition
of the ship, so as to maintain the proper anchoring of the ship.
[0009] According to the present invention, there is provided an automatic anchor watching
control system for ships and the like, comprising means for calculating the maximum
holding force of the anchor and anchor chain, means for calculating the external forces
acting on the ship, means responsive to the calculated values of maximum holding force
and externally-acting forces for calculating forces (if any) that need to be applied
to the ship to maintain the actual anchor chain tension below the maximum holding
force, and means for outputting control signals corresponding to said forces to be
applied to the ship to the ship's propulsion means and/or the ship's turning gear.
[0010] In the preferred form, the system further comprises means for detecting dragging
of the ship's anchor and means for generating control signals to be outputted to the
ship's propulsion means and/or the ship's turning gear to arrest the dragging. For
this purpose there may be means for calculating the distance from the ship to the
anchor, means for calculating the present distance of the ship from the position of
the anchor when first cast, and means for comparing these two calculated values.
[0011] Preferably, the means for calculating the distance from the ship to the anchor comprises
detectors for detecting the let-out anchor chain length, the water depth and the anchor
chain tension, and means for performing computations upon the signals received from
said detectors in accordance with theoretical anchor chain catenary formulae.
[0012] The means for calculating the present distance of the ship from the position of the
anchor when first cast may comprise means for integrating with respect to time the
ship's velocity or acceleration from the time of anchor casting to the present.
[0013] Also in the preferred form, the means for calculating the maximum holding force of
the anchor and anchor chain comprises detectors for detecting the type of sea bottom
soil, the anchor chain tension, the let-out anchor chain length and the water depth,
means for calculating the length of anchor chain lying on the sea bottom, and means
for summing the holding force due to the anchor itself in the type of soil detected
and the holding force due to said anchor chain length lying on the sea bottom.
[0014] The means for calculating the external forces acting on the ship may comprise detectors
for wind direction and velocity and tidal current.
[0015] Accordingly, as the tension in the anchor chain is maintained at or below the maximum
holding force, the anchor of a ship with the present system will be continuously maintained
in a proper condition to prevent dragging.
[0016] It should be noted that ship's turning gear herein is to be construed as steering
gear and/or a bow thruster.
[0017] A preferred embodiment of the present invention will now be described in the following
with reference to the accompanying drawings, in which:-
Figure 1 shows the general arrangement of an automatic anchor watching system of the
present invention and various units of the ship to be controlled by said system;
Figure 2 is a block diagram showing the arrangement of the automatic anchor watching
system and its auxiliary devices;
Figure 3 shows the relationship of forces operating on the hull in a ship equipped
with the anchor watching control;
Figure 4 is an explanatory diagram of the anchor chain catenary;
Figures 5 and 6 are flow charts illustrating the computations made and controls given
in the anchor watching system;
Figures 7 and 8 are explanatory diagrams showing the non-dragging condition and the
dragging condition.
[0018] As illustrated in Figures 1 and 2, the present anchor watching system includes a
variety of detectors and control units, and various components such as the main engine
are controlled by the system.
[0019] As shown in Figure 1, a control unit 2, a gyrocompass 3 and a control console 4 (hereinafter
called the control panel) are installed in the bridge control room 1 located in the
upper aft superstructure of the ship. A pair of windlasses 5, arranged port and starboard,
and remotely controlled from the control panel 4, are located at the bow on the upper
deck, and an anchor chain 6 to be let out from each windlass 5 passes through a respective
hawsepipe 7 to emerge at the respective side of the ship. An anchor 8 is connected
to the end of each anchor chain 6.
[0020] An anchor chain tension detector 9, which detects the tension in the anchor chain
by means of a load cell or the like, is provided in at least one anchor chain 6 being
let out from one windlass 5. The windlass 5 is also provided with a let-out anchor
chain length detector 10 which detects the length of the anchor chain let out by the
windlass by counting the number of revolutions of the windlass. Further, the windlass
5 is provided with an anchor casting signal transmitter 31 (Figure 2) which detects
the commencement of anchor casting. The detection signals from these detectors 9,
10 and 31 are arranged to be outputted to the control unit 2. An anchor chain angle
detector 11 (for example, a device using an image sensor, a TV camera, or the like),
for detecting the angle 9 (see Figure 3) of the anchor chain 6 with respect to the
centre line of the hull in the horizontal plane, is provided above and athwart the
hawsepipe 7, and the detection signal from this detector is also outputted to the
control unit 2.
[0021] Further, a sea bottom soil detector 12, consisting of an ultrasonic generator 12a
for transmitting a specified ultrasonic wave form towards the sea bottom and an ultrasonic
receiver 12b for receiving the reflected wave form, is provided in the bottom of the
hull, and its detection signal is arranged to be outputted to the control unit 2.
The sea bottom soil detector 12 also operates as a water depth detector 13.
[0022] A tidal current detector 14 for detecting the direction and velocity of the tidal
current, used in the computation of the external forces on the hull, is provided in
the bottom of the hull at the bow, and the detection signal is arranged to be outputted
to the control unit 2. A salt concentration detector 15 for detecting the salt concentration
of the water, and a water temperature detectot 16 for detecting the water temperature,
are provided in the bottom of the hull toward the aft end, and their detection signals
are also arranged to be outputted to the control unit 2 to compensate the detection
data from the ultrasonic type detectors 12, 13, 14 for changes in water salt concentration
and temperature.
[0023] On both sides of the hull at both the bow and aft ends, four sets of draft gauges
17 for electrically detecting the draft are installed, and their detection signals
are also arranged to be outputted to the control unit 2.
[0024] A wind direction and velocity detector 18 for detecting the direction and velocity
of the wind, used in the calculation of the external forces on the hull, is provided
above the bridge, and its detection signals are arranged to be outputted to the control
unit 2. A Doppler sonar speedmeter (Figure 2), for measuring the absolute ground velocity
of the ship in a shallow sea anchorage area, is provided in the bottom of the ship,
and its detection signal is arranged to be outputted to the control unit 2.
[0025] A water ballast pump 19, the main ship's engine 20, the ship's steering gear 21,
and a bow thruster 22 are provided with control means 19a, 20a, 21a, and 22a respectively,
capable of receiving control signals from the control unit 2. The control means 19a
constitutes ship's draft control means also controlling a ballast water drain valve.
[0026] As shown in Figure 2, the control unit 2 consists of a detection signal receiving
unit 23, a central processing unit 24, a timer 25, a read only memory (ROM) 26, a
random access memory (RAM) 27, a data setter 28 and a control signal output unit 29.
[0027] The detection signal receiving unit 23 receives the detection signals from the detectors
3, 9 to 18, 23, 24, 30 and 31, applies any necessary analogue-to- digital conversion,
amplification or waveform shaping to these detection signals, and outputs them to
the central processing unit 24. The unit 23 also receives from the central processing
unit 24 signals that are generated by processing said detection signals. The signals
processed by the detection signal receiving unit 23 are stored in the RAM 27 via the
central processing unit 24. The ROM 26 stores a variety of computation programs to
be executed in the central processing unit 24, which will be explained later (see
the flow charts of Figures 5 and 6).
[0028] The timer 25 outputs an actuation signal at a specified time cycle to the central
processing unit 24, and according to this actuation signal computation is executed
at the specified time cycle.
[0029] The data setter 28 is for inputting to the central processing unit 24 such data,
additional to the data obtained from the variety of detection signals, as may be required
for a variety of calculations such as those concerning the anchor chain catenary,
the maximum holding force and external forces on the hull. This data may include the
principal dimensions of the hull, i.e. length, breadth and depth (L, B and D), the
dimensions of the superstructure, anchor chain unit weight (Wc), chain type and dimensions,
hawsepipe frictional force, and vertical distance (d) from the water line to the hawsepipe.
Some data, such as the draft and water depth, may in the alternative be detected by
independent detectors and manually inputted to the data setter 28.
[0030] The control signal output unit 29 receives control signals from the central processing
unit 24, applies any necessary digital-to-analogue conversion or amplification, and
outputs signals to the windlass control means 5a, the main engine control means 20a,
the bow thruster control means 22a, the steering gear control means 21a, and the draft
control means 19a.
[0031] Thus, the control unit 2 is connected, as shown in the block diagram of Figure 2,
to the various detectors 3, 9 to 18, 23, 24, 30 and 31 on the one hand, and to the
various control means, including the main engine control means, on the other hand,
and it uses the detection signals from said various detectors 3, 9 to 18, 30 and 31,
and the data set in beforehand, for determining whether the ship is dragging its anchor
or not. When the ship is not dragging its anchor, the control unit 2 computes the
maximum holding force which can be applied by the anchor 8 and the anchor chain 6,
and the external forces (wind force and tidal force) on the hull. To maintain the
anchor chain tension T at or below the 0 maximum holding force, the control unit may
output a control signal to the windlass control means 5a to let out more anchor chain
6, and/or it may output a control signal to the draft control means 19a to charge
or drain the hull ballast water and thereby lessen the wind force or the tidal force,
and/or it may output a control signal to the main engine control means 20a to use
the propulsive force of the propeller for anchor watching control, and/or together
with the use of the propeller it may output a control signal to the steering gear
control means 21a to control the helm angle, and/or it may output a control signal
to the bow thruster control means 22a to control the turning propulsive force of the
bow thruster.
[0032] On the other hand, when the ship is dragging its anchor, the control unit determines
by computation the direction and distance of dragging and outputs control signals
corrected according to the dragging condition to the main engine control means 20a,
the bow thruster control means 22a, and so forth.
[0033] Now, the process of computation in the central processing unit 24 of the control
unit during anchor watching will be explained with reference to the flowcharts of
Figures 5 and 6.
[0034] First, with reference to Figure 5, the subflowchart for determination of dragging
will be explained. Blocks S1 to S12 indicate operations in the process. The process
commences at S1. The central processing unit is initialized at S2. The count "n" of
dragging is set at n = 1 at S3. At S4, an anchor casting signal from the anchor casting
signal transmitter 31 is received, and the anchor casting start time t is set at t
= 0. At S5, according to the clock signals from the timer 29 (see Figure 2), a calculation
command signal is outputted, for example, every five minutes after anchor casting.
With the calculation command signal present, a test is made to determine whether the
current period is a calculation period or not, and when it is a calculation period
the central processing unit shifts to S6. When it is not a calculation period, the
unit shifts back to S5 and repeats the calculation period check until a calculation
period is reached.
[0035] At S6, the detection data obtained from various detectors and stored in the RAM 27,
and the preset data set beforehand by the data setter, are inputted and the process
shifts from S6 to S7.
[0036] At S7, a test is made to determine whether the letting-out of the anchor chain 6
has been completed or not by examining whether the signal from the let-out anchor
chain length detector 10 is steady or not. When the letting-out has been completed,
the process shifts to S8.
[0037] At S8, the let-out anchor chain length C is calculated from the detection signal
from the let-out anchor chain length detector 10, and according to anchor chain catenary
theory, as illustrated in Figure 4, the anchor chain catenary length S, the horizontal
distance Y of the anchor chain catenary, and the length of the straight portion Z
of the anchor chain on the sea bottom are calculated, and the horizontal distance
X from the ship to the anchor 8 is calculated.
[0038] At S9, the horizontal distance R from the original anchor casting position to the
present ship position (Figures 7 and 8) is calculated. The calculation at S9 may be
executed as an interrupt.
[0039] At S10, the dragging distance AR = (R - X) is calculated, and at S11 a test is made
whether the dragging distance AR exceeds a relatively small preset value A (for instance,
A = 20 m). This preset value A is designed to absorb errors such as the detection
errors of detectors 9, 10, 17, 30 etc., and the distance required by the anchor to
dig into the sea bottom. When the dragging distance ΔR is not more than the preset
value, the ship is judged not to be dragging its anchor, and the process shifts back
to S5 to repeat the steps starting from S5.
[0040] On the other hand, when the dragging distance AR exceeds the preset value A, the
ship has been dragging its anchor. The process shifts to S12, and at this step ΔR
n is substituted for ΔR. At the next step S13, ΔR
n is compared with the value of AR of the preceding cycle (namely, ΔR
n-1:R
0 = 0). When ΔR
n is larger than the value of the preceding cycle, the ship is dragging its anchor
and the process shifts to S14, at which the values of ΔR, R
x, R
y, R, X (see Figure 8), and if necessary an alarm, are displayed on the control panel
indicator 32 (see Figure 2). The process shifts to S15, and the value of the count
"n" of dragging is incremented. On the other hand, at S13, when the value does not
exceed the previous value, the ship is judged not to be dragging its anchor and the
process shifts back to S5 to repeat the steps starting from S5.
[0041] The above-mentioned subflowchart is executed at the specified time cycle independently
of the main flowchart which will be explained later. The results are used by interrupt
as calculation data for the main flowchart (information on whether the ship is dragging
or not) (see Figure 6) and correction data for the results of computation.
[0042] Next, the calculation procedure for anchor watching control to be executed in the
central processing unit 24 will be explained briefly with reference to the main flowchart
of Figure 6. Blocks S1 to S9 indicate operations in the process.
[0043] The process commences at S1. The central processing unit is initialized at S2. At
S3, when the actuation signal from the timer 25 is inputted, the process shifts to
S4 and a variety of data stored in the RAM 27 is inputted. At S5, the information
on the presence or absence of dragging obtained according to the subflowchart is used
to test whether the ship is dragging its anchor or not. When the ship is dragging
its anchor, the process shifts to S8, and the data of the dragging (distance and direction)
are inputted. Next, the process shifts to S9, and the various data inputted are used
to calculate the external force F on the hull. At S10, the required orthogonal components
of the anchor watching control force F
p and F (see Figure 3) are computed. During this computation, corrections are made
for the dragging distance AR and the direction of dragging. In other words, in contrast
to the case of non-dragging, a correction of the control outputs (for instance, the
control outputs to the main engine and the bow thruster) is made corresponding to
the state of dragging. At S11, control signals corresponding to the corrected F p
and F
s are outputted. Next, the process shifts from S11 back to S4 to repeat the steps described
above in the exercise of anchor watching control.
[0044] On the other hand, at S5, when the ship is holding position (non-dragging condition),
the process shifts to S6 at which the maximum holding force T
omax is calculated. At the following step S7, a test is made whether the anchor chain
tension T
o (strictly speaking, the detected anchor chain tension plus the frictional force of
the hawsepipe) is smaller than the maximum holding force
Tomax. When the anchor chain tension is smaller (or when there is no danger of dragging),
the process shifts to S12 and terminates. When the anchor chain tension is equal or
larger (or when there is a danger of dragging), the process shifts to S9. At S9, the
external force F on the hull is calculated, and at S10 the required anchor watching
component forces F
p and F
s are calculated. At S11, control signals corresponding to F
p and F
s are outputted, and the process then shifts from S11 back to S4 to repeat the steps
mentioned above.
[0045] The present automatic anchor watching system is arranged to execute tasks in its
central processing unit 24 according to the flowcharts as outlined above. The detection
of dragging, calculation of the anchor chain catenary, calculation of the maximum
holding force obtainable with the anchor 8 and the anchor chain 6, calculation of
external forces acting on the hull, calculation of anchor watching control propulsive
forces, etc. are made in said central processing unit 24 as explained below.
[0046] (I). The detection of dragging is by means of the speedmeter 29 and gyrocompass 3.
In other words, the dragging condition is tested by whether the horizontal distance
X from the ship to the anchor determined by the anchor chain catenary theory is equal
to the horizontal distance R from the anchor casting position to the present ship
position determined by the speedmeter 29 and the gyrocompass 3. (If the ship is not
dragging its anchor, X is equal to R; see Figure 7).
[0047] To be more specific, the horizontal distance R is determined by first establishing
a system of co-ordinates and performing time integration of the velocity components
of the ship, obtained by means of the speedmeter and the gyrocompass, from anchor'casting
to the present. In other words, as it is possible, with the use of a Doppler sonar
speedmeter, to detect the absolute ground velocity of the ship in a shallow sea area
where anchorage can be made, the present (at time t = t) position of the ship (R ,
R ) is as follows; the anchor casting position is set as the origin ((0,0), t = 0)
as shown in Figure 7.


where
Vx(t): The velocity of the ship in the direction of the X axis of the specified system
of co-ordinates obtained from the measured velocity at time t and the data of the
gyrocompass.
Vy(t): The velocity of the ship in the direction of the Y axis of the specified system
of co-ordinates obtained from the measured velocity at time t and the data of the
gyrocompass.
[0048] The horizontal distance R from the anchor casting postiion to the present position
of the ship is thus obtained with high accuracy.
[0049] When the ship is not dragging its anchor, the horizontal distance X from the ship
to the anchor 4 is roughly equal to the horizontal distance R from the anchor casting
point to the present position of the ship (see Figure 7).
[0050] In contrast, when the ship is dragging its anchor, the horizontal distance R from
the anchor casting point to the present ship position is greater than the horizontal
distance X from the ship to the anchor 4, and (R - X) is the distance of dragging
(see Figure 8). As the value of (R - X) is a vector that can be divided into an X-axis
component and a Y-axis component, the direction of dragging as well as the distance
of dragging can be determined.
[0051] R can also be obtained by using accelerations (a
x(t), ay(t)) to be detected by accelerometers, rather than from the ship velocities
(V
x(t), V
y(t)) detected by the speedmeter 8 as described above.
[0052] (II). The maximum holding force and the horizontal distance X are determined by obtaining
the anchor chain catenary on the basis of the theoretical formulae for anchor chain
catenary.
[0053] The anchor chain catenary is calculated in the following manner using main parameters
such as the let-out anchor chain length C, anchor chain tension T , and water depth
H all obtained as detection data (see Figure 4).

where
S: Catenary length of the anchor chain catenary;
T: Horizontal component of anchor chain tension:
H: Water depth;
d: Vertical distance between the water surface and the hawsepipe; and
Wc: Anchor chain unit weight.

where
w: Angle of elevation at the top end of the anchor chain; and

where
Y: Horizontal length of anchor chain catenary.

where
Z: Length of straight portion of the anchor chain on the sea bottom.

where
X: Horizontal distance from the ship to the anchor.
[0054] For T
o, the detected anchor chain tension plus the frictional force of the hawsepipe is
used. The functions f
1, f
2 and f
3 express the functional relationships obtained from anchor chain catenary theory.
Since these theoretical formulae are well known, a detail explanation is omitted.
(III). On the basis of the length of the straight portion
[0055] Z of the anchor chain on the sea bottom obtained in the above-mentioned manner, the
sea bottom soil p obtained as detection data, and data inputted as preset data, the
maximum holding force
Tomax which can be exerted by the anchor 8 and the chain 6 is obtained by the following
formula;
[0056] 
T(p) is the holding force of the anchor itself determined by the sea bottom soil p
and the known type and dimensions of the anchor. T(Z) is the holding force of the
anchor chain 6 determined by the length Z of the straight portion of the anchor chain
resting on the sea bottom and the anchor chain unit weight Wc.
[0057] The external force F acting on the hull and its angle a (see Figure 3) are determined
from the direction and velocity of the tidal current, the direction and velocity of
the wind, and the draft all obtained as detection data, and the dimensions of the
hull (L x B x D) and superstructure inputted as preset data.
[0058] L: Length of the hull;
[0059] B: Width of the hull; and
[0060] D: Depth of the hull.
[0061] The angle of the anchor chain 6 is obtained as detection data, and the angle ∅ is
obtained by the calculation of the anchor chain catenary.
[0062] (V). As shown in Figure 3, the conditions for maintaining the position of the hull
without moving, or the conditions of anchor watching, are determined by the balance
of forces in the longitudinal and transverse directions as follows:




where
F: External force due to wind and tidal current;
T: Horizontal component of anchor chain tension;
F : Anchor watching control propulsive force in the longitudinal direction of the
hull which is obtained by driving the propeller by means of the main engine; and
FS: Anchor watching control propulsive force in the horizontal direction perpendicular
to the centre line of the hull which is obtained by driving the bow thruster and/or
by checking helm.
[0063] Accordingly, from the formulae (10) to (13) and the theoretical formulae of the anchor
chain catenary theory, values of F
p and F
s which satisfy said formulae (10) to (13) are obtained.
[0064] When the ship is dragging its anchor, the values F
p and F are corrected according to the condition of dragging (distance and direction
of dragging).
[0065] In addition to balancing the forces in the longitudinal and transverse directions
as described above, balancing the moments around a vertical axis may be considered.
In this case, it may be possible to balance the moments by using the transverse propulsive
force of the bow thruster 22. For a ship without the bow thruster 22, it may be possible
to balance the moments by letting out more anchor chain to increase the maximum holding
force T
omax and using the steering gear to check helm and generate a transverse propulsive force.
[0066] Further, to reduce the external forces, it may be possible, when the wind is strong,
to increase the draft to reduce the side area of the ship above the water surface,
or when the tidal force is strong, to decrease the draft to reduce the side area of
the ship below the water surface.
[0067] When the external force F acting on the hull is determined, it is desirable to use
data such as the height, direction and period of the waves, and height, direction
and period of swell both to be detected by draft gauges, although these data are not
specifically considered in the above-described embodiment.
[0068] The anchor watching control propulsive forces F
p and F
s are thus determined, and controlsignals for generating the longitudinal propulsive
force F
p and the transverse propulsive force F are outputted by the central processing unit
24 via the control signal output unit 29 to the main engine control means 20a, the
bow thruster control means 22a and/or the steering gear control means 21a.
[0069] Control signals may be applied to all of the above-mentioned means 20a, 21a and 22a,
or to any two of them, or to any one of them, at a particular time.
[0070] In some cases, to let out the anchor chain 6 more to increase the maximum holding
force T
omax a control signal is also outputted to the windlass control means 5a, or to reduce
the effects of the tidal current or wind force, a control signal for increasing or
draining the ballast is outputted to the draft control means 19a.
[0071] As the automatic anchor watching control system of the present invention is arranged,
as explained above, to avoid dependence of anchor watching on human perception, and
to determine, by calculation, the maximum holding force of the anchor, the external
forces acting on the ship, and the anchor chain tension from a variety of data detected
by various detectors, and to automatically actuate anchor watching control means so
as to constantly keep the anchor chain tension below the maximum holding force, the
system is capable of preventing dragging.
[0072] Further, as the automatic anchor watching control system of the present embodiment
uses feedback which can quickly detect incipient dragging due to, for example, a sudden
change in the soil of the sea bottom, and modify the control outputs according to
the dragging condition, the system makes possible automatic control of anchor watching
with very high reliability.
[0073] Accordingly, the crews of ships are freed from the anchor watching operation which
requires the experience of many years and is complicated in execution, and anchor
watching can be executed independently of the capacity of the crews.
[0074] Since the dragging detection unit constituting a part of the automatic anchor watching
system of the present embodiment uses a dragging detection method in which the horizontal
distance from the ship to the anchor, determined from the anchor chain catenary and
the let-out anchor chain length, is compared with the horizontal distance from the
anchor casting point, which is obtained by time integration of the ship's velocity
or acceleration from anchor casting to the present position of the ship, fixed facilities
on the ground or ashore are not required and the detection can be made with equipment
mounted on the ship alone. As apart from the performance of the detectors, the principal
source of error is merely the distance required by the anchor to dig into the sea
bottom, the system can detect dragging in its very early stage.