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Probabilistic analysis of marine fuels in emission controlled areas 
Kamal Soundararajan (Kamal) 
6th ICAE 2014, 2 June
2 
Overview 
•Motivations 
•Methodology 
•Results 
•Conclusion 
http://www.marineinsight.com/wp-content/uploads/2012/07/co2.jpg
3 
Motivations
Increasing global pressure to reduce GHG emissions 
•Mandatory regulations to curb the rise in SOx and NOx emissions 
•Energy efficiency would fuel the future of shipping 
•Ship owners starting to explore various fuel and technology options (LNG as a marine fuel, dual fuel options, solar and wind power, waste heat recovery systems) 
•Selection of fuel and technology options is complex, requires long- term planning and is often very costly to make changes 
4 
http://www.dieselnet.com/standards/inter/imo.php 
http://www.dieselnet.com/standards/inter/imo.php
How do future IMO regulations influence decision-makers’ selection of marine fuels? 
•No easy answers 
▫Highly diversified sector (different ship types, varying operating profiles, varying pricing mechanisms) 
▫Uncertainty over future fuel prices, infrastructure and regulations 
▫Complex interactions between ship owners and operators (split-incentives) 
•Very common forms of analysis include cost benefit analysis 
•This paper attempts to provide some insights by partially resolving the uncertainty and the various risk- appetitites that affect the decision-making process 
5
6 
Methodology 
http://pilotproject.com/
Summary 
•Problem formulation 
•Deterministic Analysis 
•Probabilistic Analysis 
•Model Appraisal 
7 
The Decision Analysis Cycle/Process
Formulation: A purchase decision with three alternatives 
•Three types of ship engines configurations considered 
▫Two stroke diesel engine fitted with SOx scrubbers : NPV1 
▫Gas fired engine with LNG as a fuel source : NPV2 
▫Dual fuel engine that allows a combination of LNG and fuel oil : NPV3 
•Decision specifications estimated from publicly available sources (for example) 
▫Cost of initial investment 
▫Revenue estimates 
▫Cost of operating SOx scrubbers 
•Defining the boundaries for a more impactful analysis 
▫Mid-sized containership between Asia and Europe 
8
Deterministic Analysis: 
Cash flow analysis for each alternative 
9 
     
 
 
  
7 
3 
7 
1,2,3 3 k (1 )k k (1 )k i 
Fuel Costs 
i 
Earnings 
NPV Initial Costs 
Cash flow diagram of NPV1 
Cash flow diagram of NPV2/3 
Diagrams are for illustrative 
purposes only. Actual cash 
flow diagrams are varied
•Reliability of different engines 
▫Downtime experienced : d1 , d2 and d3 
•Uncertainty in future prices 
▫Price estimates of LNG and Marine Gas Oil (MGO): P LNG and Pdies 
•Uncertainty over future LNG bunkering infrastructure 
▫Additional distance travelled: D 
•Uncertainty over future NOx and energy efficiency regulations 
▫Additional cost incurred at a later time frame: I 
10 
Probabilistic analysis: Uncertain system variables
Influence diagram of purchase decision 
11 
NPV 1 
NPV 2 
NPV 3 
D 
d2 
I 
d3 
Plng 
Purchase 
decision 
d: downtime 
D: Additional distance traveled 
P: Price 
l: Additional cost incurred 
I 
D d3 
d1 
Pdies 
Plng 
NPV1 
NPV2 
NPV3 
Purchase 
Decision
DPL software used to conduct various types of analysis 
•Tornado dominance 
•Probabilistic decision tree diagrams 
•Sensitivity analysis 
•Expected Value of Perfect Information (EVPI) 
•Risk analysis 
12
13 
Results 
https://brillianta3.files.wordpress.com/2012/
Deterministic policy tree diagram 
•LNG as a fuel source was chosen as the optimal solution 
14 
94.7 [94.7] Diesel 107.8 [107.8] LNG 103.3 [103.3] Dual Decision1 [107.8] Licensed by Syncopation Software for evaluation purposes only.
Combined Tornado Diagram 
15 
84.7 
111.3 
118.8 
98.3 
109.5 
108.8 
89.1 
102.3 
75.4 
92.3 
83.7 
94.2 
99.6 
106.8 
105.7 
104.7 
94.7 103.3 107.8 
d3 
d2 
d1 
Plng 
Pdies/lng 
Pdies 
I 
D
Combined Tornado Diagram 
•No tornado dominance among the three alternatives in the deterministic analysis 
•Selected variables are deemed sensitive enough for probability assessment 
16
Probabilistic decision tree diagrams 
• Change of optimal decision to select diesel-fuelled 
engine 
▫ Switch to cleaner fuel is strongly influenced by 
probabilistic events 
• Risk neutrality assumed 
17 
I 
Diesel [101.5] 
D 
LNG [100.5] 
d3 
Dual [100.2] 
Decision1 
[101.5]
Full probabilistic decision tree 
18 
Low 
NPV_1 
Base 
NPV_1 
High 
NPV_1 
High 
b 
Pdies 
Base 
b 
Low 
b 
NOx and EE 
a 
d1 
NOx 
a 
EE 
a 
None 
a 
Diesel 
I 
Low 
NPV_2 
Base 
NPV_2 
High 
NPV_2 
High 
d 
Plng 
Base 
Low 
Yes 
c 
d2 
No 
LNG 
D 
Dual 
Decision1 
Relatively large base model consisting 84 
various objective functions
Sensitivity Analysis 
•Most variables are found to be robust 
▫Small changes in value do not change the optimal decision 
•Optimal decision changes to LNG for: 
▫An increase of $2 for the base price of diesel 
▫A reduction of $1 for the base price of LNG 
▫An increase of 0.5 weeks of downtime for diesel engines 
19
Expected value of perfect information (EVPI) analysis 
20 
Price of diesel 
Price of LNG 
Optimal decision 
Low 
Low 
Diesel 
Low 
Base 
Diesel 
Low 
High 
Diesel 
Base 
Low 
LNG 
Base 
Base 
Diesel 
Base 
High 
Diesel 
High 
Low 
LNG 
High 
Base 
LNG 
High 
High 
Dual 
Limitations in LNG bunkering infrastructure 
Optimal decision 
High 
Diesel 
Low 
LNG 
Future regulations in 2016 
Optimal decision 
NOx and EE regulations 
LNG 
NOx regulations 
LNG 
EE regulations 
Diesel 
None 
Diesel
Expected value of perfect information (EVPI) analysis 
•Where LNG prices are cheaper than diesel, LNG as a fuel source is the optimal decision 
▫Supports market-based measures for emission reduction efforts 
•Only when LNG and diesel prices are high, dual fuel engine becomes the optimal decision 
•Improving LNG bunkering infrastructure does help promote LNG being chosen as a fuel source 
•Future regulations to reduce NOx in ECAs does promote LNG as a optimal decision 
21
Risk Analysis 
22 
Increasing risk aversion 
Assuming decision-maker has an 
exponential utility function and 
satisfies delta property
Risk Analysis 
•With decreasing risk tolerance the optimal decision changes from diesel to LNG and finally to dual fuel engines 
▫Seems counter-intuitive since dual-fuel engines are often considered to be the ‘more’ risky option 
•While some factors make dual fuel engines risky such as reliability, other factors such as less uncertainty over future fuel prices and regulations tend to make the option less risky 
23
24 
Conclusion
Summary remarks 
•Price uncertainties have the largest impact on the optimal decision 
•Optimal decision for a risk neutral decision-maker is to invest in a diesel-fuelled engine 
•Future regulations and improvements to LNG bunkering infrastructure promotes LNG as the optimal decision 
•Price regulations on diesel also improve the adoption of LNG fueled engines 
•Investing in dual-fueled engines in most cases is a sub- optimal decision 
•The more risk averse decision makers are, the more likely they would consider LNG as an alternative fuel source 
25
26 
Thank you! 
Energy Studies Institute 29 Heng Mui Keng Terrace Block A, #10-01 Singapore 119620 
For enquiries: 
Kamal Soundararajan Tel: (65) 6516 1456 Email: esiks@nus.edu.sg

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Probabilisitc analysis of marine fuels in emission controlled areas

  • 1. Probabilistic analysis of marine fuels in emission controlled areas Kamal Soundararajan (Kamal) 6th ICAE 2014, 2 June
  • 2. 2 Overview •Motivations •Methodology •Results •Conclusion http://www.marineinsight.com/wp-content/uploads/2012/07/co2.jpg
  • 4. Increasing global pressure to reduce GHG emissions •Mandatory regulations to curb the rise in SOx and NOx emissions •Energy efficiency would fuel the future of shipping •Ship owners starting to explore various fuel and technology options (LNG as a marine fuel, dual fuel options, solar and wind power, waste heat recovery systems) •Selection of fuel and technology options is complex, requires long- term planning and is often very costly to make changes 4 http://www.dieselnet.com/standards/inter/imo.php http://www.dieselnet.com/standards/inter/imo.php
  • 5. How do future IMO regulations influence decision-makers’ selection of marine fuels? •No easy answers ▫Highly diversified sector (different ship types, varying operating profiles, varying pricing mechanisms) ▫Uncertainty over future fuel prices, infrastructure and regulations ▫Complex interactions between ship owners and operators (split-incentives) •Very common forms of analysis include cost benefit analysis •This paper attempts to provide some insights by partially resolving the uncertainty and the various risk- appetitites that affect the decision-making process 5
  • 7. Summary •Problem formulation •Deterministic Analysis •Probabilistic Analysis •Model Appraisal 7 The Decision Analysis Cycle/Process
  • 8. Formulation: A purchase decision with three alternatives •Three types of ship engines configurations considered ▫Two stroke diesel engine fitted with SOx scrubbers : NPV1 ▫Gas fired engine with LNG as a fuel source : NPV2 ▫Dual fuel engine that allows a combination of LNG and fuel oil : NPV3 •Decision specifications estimated from publicly available sources (for example) ▫Cost of initial investment ▫Revenue estimates ▫Cost of operating SOx scrubbers •Defining the boundaries for a more impactful analysis ▫Mid-sized containership between Asia and Europe 8
  • 9. Deterministic Analysis: Cash flow analysis for each alternative 9          7 3 7 1,2,3 3 k (1 )k k (1 )k i Fuel Costs i Earnings NPV Initial Costs Cash flow diagram of NPV1 Cash flow diagram of NPV2/3 Diagrams are for illustrative purposes only. Actual cash flow diagrams are varied
  • 10. •Reliability of different engines ▫Downtime experienced : d1 , d2 and d3 •Uncertainty in future prices ▫Price estimates of LNG and Marine Gas Oil (MGO): P LNG and Pdies •Uncertainty over future LNG bunkering infrastructure ▫Additional distance travelled: D •Uncertainty over future NOx and energy efficiency regulations ▫Additional cost incurred at a later time frame: I 10 Probabilistic analysis: Uncertain system variables
  • 11. Influence diagram of purchase decision 11 NPV 1 NPV 2 NPV 3 D d2 I d3 Plng Purchase decision d: downtime D: Additional distance traveled P: Price l: Additional cost incurred I D d3 d1 Pdies Plng NPV1 NPV2 NPV3 Purchase Decision
  • 12. DPL software used to conduct various types of analysis •Tornado dominance •Probabilistic decision tree diagrams •Sensitivity analysis •Expected Value of Perfect Information (EVPI) •Risk analysis 12
  • 14. Deterministic policy tree diagram •LNG as a fuel source was chosen as the optimal solution 14 94.7 [94.7] Diesel 107.8 [107.8] LNG 103.3 [103.3] Dual Decision1 [107.8] Licensed by Syncopation Software for evaluation purposes only.
  • 15. Combined Tornado Diagram 15 84.7 111.3 118.8 98.3 109.5 108.8 89.1 102.3 75.4 92.3 83.7 94.2 99.6 106.8 105.7 104.7 94.7 103.3 107.8 d3 d2 d1 Plng Pdies/lng Pdies I D
  • 16. Combined Tornado Diagram •No tornado dominance among the three alternatives in the deterministic analysis •Selected variables are deemed sensitive enough for probability assessment 16
  • 17. Probabilistic decision tree diagrams • Change of optimal decision to select diesel-fuelled engine ▫ Switch to cleaner fuel is strongly influenced by probabilistic events • Risk neutrality assumed 17 I Diesel [101.5] D LNG [100.5] d3 Dual [100.2] Decision1 [101.5]
  • 18. Full probabilistic decision tree 18 Low NPV_1 Base NPV_1 High NPV_1 High b Pdies Base b Low b NOx and EE a d1 NOx a EE a None a Diesel I Low NPV_2 Base NPV_2 High NPV_2 High d Plng Base Low Yes c d2 No LNG D Dual Decision1 Relatively large base model consisting 84 various objective functions
  • 19. Sensitivity Analysis •Most variables are found to be robust ▫Small changes in value do not change the optimal decision •Optimal decision changes to LNG for: ▫An increase of $2 for the base price of diesel ▫A reduction of $1 for the base price of LNG ▫An increase of 0.5 weeks of downtime for diesel engines 19
  • 20. Expected value of perfect information (EVPI) analysis 20 Price of diesel Price of LNG Optimal decision Low Low Diesel Low Base Diesel Low High Diesel Base Low LNG Base Base Diesel Base High Diesel High Low LNG High Base LNG High High Dual Limitations in LNG bunkering infrastructure Optimal decision High Diesel Low LNG Future regulations in 2016 Optimal decision NOx and EE regulations LNG NOx regulations LNG EE regulations Diesel None Diesel
  • 21. Expected value of perfect information (EVPI) analysis •Where LNG prices are cheaper than diesel, LNG as a fuel source is the optimal decision ▫Supports market-based measures for emission reduction efforts •Only when LNG and diesel prices are high, dual fuel engine becomes the optimal decision •Improving LNG bunkering infrastructure does help promote LNG being chosen as a fuel source •Future regulations to reduce NOx in ECAs does promote LNG as a optimal decision 21
  • 22. Risk Analysis 22 Increasing risk aversion Assuming decision-maker has an exponential utility function and satisfies delta property
  • 23. Risk Analysis •With decreasing risk tolerance the optimal decision changes from diesel to LNG and finally to dual fuel engines ▫Seems counter-intuitive since dual-fuel engines are often considered to be the ‘more’ risky option •While some factors make dual fuel engines risky such as reliability, other factors such as less uncertainty over future fuel prices and regulations tend to make the option less risky 23
  • 25. Summary remarks •Price uncertainties have the largest impact on the optimal decision •Optimal decision for a risk neutral decision-maker is to invest in a diesel-fuelled engine •Future regulations and improvements to LNG bunkering infrastructure promotes LNG as the optimal decision •Price regulations on diesel also improve the adoption of LNG fueled engines •Investing in dual-fueled engines in most cases is a sub- optimal decision •The more risk averse decision makers are, the more likely they would consider LNG as an alternative fuel source 25
  • 26. 26 Thank you! Energy Studies Institute 29 Heng Mui Keng Terrace Block A, #10-01 Singapore 119620 For enquiries: Kamal Soundararajan Tel: (65) 6516 1456 Email: esiks@nus.edu.sg