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Joint Optimization of Berth-quay Crane-shore Power Allocation
Under Time-of-use Pricing
WANG Xiaokun, DONG Zejin, WANG Yuwei, XIAO Hong
2025, 25(2):
314-327.
DOI: 10.16097/j.cnki.1009-6744.2025.02.029
In the context of the national drive to promote shore power applications at ports and the implementation of time-of-use
electricity pricing mechanisms in various regions, this study investigates the continuous berth-quay crane-shore power joint
allocation optimization problem, which considers terminal operational efficiency, ship energy costs, carbon emissions, and the
physical requirements for ships to connect to shore power under a time-of-use electricity pricing regime. A bi-objective
optimization model is constructed to minimize the total comprehensive cost and total carbon emissions. Specifically, the total
comprehensive cost comprises waiting costs, delay costs, and penalty costs based on the ship's total stay time at the port, which
reflect terminal operational efficiency. Ship energy costs consist of fuel costs and electricity costs. Total carbon emissions include
emissions generated by auxiliary engines during docking, indirect emissions from using shore power, and emissions from quay
crane operations. To solve this model, an improved NSGA-II algorithm is designed, integrating heuristic methods, a gene repair
strategy, progressive elimination, and an alternate group population. A case study based on a real container terminal is conducted to
test the model and analyze the impacts of electricity prices, peak-valley electricity price differences, and the proportion of
retrofitted vessels and the shore power coverage rate at the terminal. The results indicate that the improved NSGA-II algorithm is
better than traditional NSGA-II algorithm in terms of calculation results and performance, and can effectively solve the model. The
off-peak electricity price was reduced by 45.45%, resulting in a 20.33% decrease in total costs and a 6.33% reduction in total
carbon emissions, while the number of vessels using shore power increased by 23.81%. When the peak-to-valley electricity price
difference increased from 3∶1 to 5∶1, time and energy costs rose by 7.69 and 4.49%, respectively, leading to an 5.16% increase in
total comprehensive costs. An excessively large peak-to-valley electricity price ratio is not recommended. Increasing the shore
power coverage rate to 50% and the proportion of retrofitted vessels to 70% is more beneficial for enhancing the port's economic
and environmental benefits.
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