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distribution and generator management, which
represents a critical opportunity to reduce fuel
consumption, minimise emissions, and enhance
overall system performance without requiring major
technological modifications. In the case of specialized
vessels, such as Dynamic Positioning, the demand for
power is fluctuating, being influenced by
environmental factors such as wind, waves and
currents [8]. To investigate these aspects, a
representative diesel-electric power system is
considered, using the Kongsberg Challenger III model
vessel as a reference platform. The analysed system
comprises seven identical diesel-generating units, each
with a capacity of 2000 kW, configured to operate in
parallel. The main challenge in managing such a
system is to avoid undercharging (below 30%), which
leads to incomplete combustion and carbon deposits,
and overloading, which eliminates the safety reserve
[9]. The introduction of the Spinning Reserve concept
of at least 15% is essential to prevent blackout incidents
in the event of load shocks caused by the start-up of
large consumers or sudden engine failure [10],[11].
This paper explores the computational algorithms
needed to transform raw technical data into
sustainable operating strategies.
2 METHODOLOGY
The study considers a diesel-electric power system
installed on a dynamically positioned (DP) vessel,
comprising seven identical diesel generator (DG) units,
each with a rated capacity of 2000kW. The generators
are configured to operate in parallel and are managed
through a Power Management System (PMS), which
ensures load sharing, system stability, and operational
safety. The analysis is conducted using the Kongsberg
simulator [12], which provides a controlled
environment for evaluating different loading scenarios
and generator configurations under variable
operational conditions.
The specific fuel consumption behaviour of the
diesel generators is modelled using a linear
interpolation approach between two reference
operating points obtained from the manufacturer’s
technical documentation [13]: 75% load (1500kW):
393l/h and 100% load (2000kW): 509l/h. Assuming a
linear relationship between fuel consumption and
power output within this operating range, the fuel
consumption is expressed as function of generator load
P[kW]. This approximation is considered valid within
the high-efficiency operating region (75–100% load),
where diesel engine performance exhibits near-linear
behaviour [14]. The thermodynamic efficiency
of
each generator is calculated as the ratio between the
electrical power output and the chemical energy input
of the fuel. Pollutant emissions are estimated using
standard emission factors derived from the literature
and international guidelines: CO₂ emissions: 2.64 kg
per litre of diesel fuel [15]; NOₓ emissions: 10 g/kWh
(typical value for medium-speed marine diesel
engines) [16] and SO₂ emissions: calculated based on a
sulphur content of 0.1%, resulting in approximately 1.7
g per litre of fuel [17]. These values provide a
simplified but widely accepted approach for
estimating emissions in simulation-based studies,
where direct exhaust measurements are not available.
To evaluate the performance of the system under
realistic operating conditions, two representative load
scenarios are considered: medium-high load: 8500kW,
and medium load: 5000kW. For each scenario, different
generator configurations are analysed by varying the
number of active units, while maintaining system
constraints related to operational safety and efficiency.
The optimization of generator operation is based on
identifying the number of active units that ensures
operation within the optimal load range (75–90% of
rated capacity), minimization of total fuel
consumption, reduction of pollutant emissions,
maintenance of a minimum spinning reserve of 15% of
the total available power.
The initial number of required generators N is
estimated using the formula N= (Ptotal)/(Punit), meaning
total system load over the rated power of a single
generator (2000kW). This value is subsequently
adjusted to ensure compliance with the optimal
loading range and spinning reserve requirements. The
final configuration is selected based on a comparative
evaluation of fuel consumption, efficiency, and
emissions for each feasible operating scenario.
The study employs a quantitative approach based
on mathematical modelling of the performance of the
Cummins Centrum C2000D6E engine [13]. The
methodology is structured on three pillars:
consumption modelling, calculation of
thermodynamic efficiency and quantification of
emissions, each applied for two types of loads: 8500kW
and 5000kW. In the first step, the optimal operating
configuration for the first load scenario is determined.
The analysis is based on the following initial
conditions: 7 units of 2000kW, and the total load is
8500kW. If all seven units are operated, the load per
unit is 8500/7 ≈ 1214kW (approx. 60%). If only six
units are operated, the load per unit is 1417kW (approx.
71%). Considering five units results in a load per unit
of 1700kW (85%). The use of only four units cannot
cover the required load.
The configuration with 5 units is the most efficient
because diesel engines reach maximum efficiency in
the 75-90% load range, avoiding the "low-load
operation" pitfalls identified in modern maritime
engineering [14].
In this study, linear interpolation is used between
the reference points of 75% (1500kW- 393l/h) and 100%
(2000kW-509l/h). The consumption slope (m) is: m =
(509 – 393)/(2000 – 1500) = 0.23l/k. Consumption for one
unit at 1700kW Cunit=393+0.23×(1700-1500)=439l/h and
the total consumption for 5 units is Ctotal=5×439=2195l/h.
Efficiency is calculated by relating electrical power
to the chemical energy of the diesel (average density
0.85 kg/l) LHV=11.83 kWh/kg. In this case mf =
439l/h×0.85kg/l = 373.15kg/l and the efficiency
=
1700/(373.15×11.83) × 100 = 38.51%.
To calculate pollutant emissions, standard emission
factors were applied: 2.64 kg/l for CO2, and an average
value of 10 g/kWh for NOx. This results in CO2 and NOx
emissions of ECO2=2280l/h×2.64kg/l=6019.2kg/h and
ENOx=8500kW×10g/kWh=85kg/h.