2
)2/(
srogwsppmc
m
phmsrogwsppmc
ILDBKNNN
InLDBKNNN
T
η
ω
ωη
=
=
(3)
(4)
The rated power output is the product of
efficiency, phase voltage, phase current and the
number of coil conducting simultaneously. The
output is also given by the product of developed
torque and the motor speed in rad/sec. Comparing
the two and simplifying the equation the output
equation for the radial-flux PM BLDC motor can be
obtained. A specific slot loading I
s
can be considered
for the output equation. The LD
ro
product depends
on the torque developed by the motor, specific
magnetic loading, specific slot loading, and the
efficiency as shown below;
=
m
r
s
g
w
spp
m
c
ro
P
I
B
K
N
N
N
LD
ω
η
2
(5)
Output equation relates the physical dimensions
of the radial-flux PM BLDC motor with the power
output, speed, assumed efficiency, number of phases
conducting simultaneously, number of magnet poles,
slots per pole per phase, winding factor, assumed
magnetic loading and assumed electric loading [11].
For the rated power of 6 MW, 100 rpm, 1000 V
per drive module, 60 poles, 3 slots/poles/phase and
Average airgap flux density of 0.6 T, following
overall machine dimensions are obtained;
Core Length of machine = 0.95 m
Rotor inner diameter = 0.95 m
Outer diameter of stator = 1.57 m
Efficiency of the machine = 0.96
Usually, the shaft diameter for 6 MW propeller is
0.9 m. This parameter matches with the rotor inner
diameter. The machine can accommodate 60 coils
for each power electronics module. An idea of
electric drive system using hydrogen fuel cell and
necessary storage has been proposed [2]. The
hydrogen reformer develops Hydrogen fuel cell
using off-shore renewables like Wind, Wave and
Solar power but the power handling capability of
this fuel cell system (100 kW) restricts the
application to the propulsion drives of several MW.
The detail drive scheme describing; how multiple
modular hydrogen fuel cell drives are integrated to
develop variable power is shown in fig. 6.
6 ECONOMIC CONSIDERATIONS
The economic advantages of hydrogen-based ship
propulsion remain uncertain at present, but may
become more apparent as hydrogen production and
consumption becomes widespread. The factors that
must be considered for an economic analysis of
hydrogen ship propulsion include:
− The weight, volume, and cost of shipboard hy-
drogen fuel storage compared to traditional stor-
age of fuel oil.
− The weight, volume, and cost of electric generat-
ing equipment and main propulsion motors com-
pared with traditional diesel or steam main pro-
pulsion machinery and associated ship’s service
generators.
− The cost of obtaining hydrogen fuel as compared
to obtaining hydrocarbon fuels that will satisfy
environmental requirements in the future, on an
energy-equivalence basis.
− The cost of periodic maintenance of hydrogen-
electric machinery compared to traditional marine
power plants.
This assumes that the availability and reliability
of hydrogen-electric machinery will be equivalent to
traditional plants. This is a fair assumption with
respect to the electrical machinery, but remains to be
proven for fuels cells and related equipment. Also,
one must assume that adequate supplies of hydrogen
will be available.
Given a twenty year life for a ship, an
incremental analysis of equivalent ships having
alternative propulsion modes would rely upon a net
present value expression such as:
NPV(∆Cost)=∆Cost
MACH
+ ∆ Cost
FUELSYS
+ (P|A,i%,20) [∆AnnCost
FUEL
+ ∆AnnCost
MAINT
] (6)
where the change in costs of machinery and fuel
systems are capital expenditures in the present, and
the sum of annual differences in the costs of fuel and
maintenance are reduced to a single present value by
the application of the Series Present Worth Factor
over the life of the ship at a cost of capital of i%.
For a cargo ship, the Minimum Required Freight
rate (MRFR) is often used as a figure of merit is
assessing a ship design. This is simply a ratio of the
annualized cost of the acquisition and operation of
the ship over the life of the ship, divided by the
annual tonnage of cargo carried (i.e., the ATC), and
the owner seeks to have a vessel with the minimal
MRFR to be more competitive. Assuming that the
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