
 
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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