The offshore-onshore integrated energy system (OOIES) interconnects the offshore oil extraction platforms, offshore wind farms (OWFs), onshore coal/gas-fired power plants and oil distillation factories, which has great potential in CO2 emission reduction. To investigate its long-term CO2 emission reduction and economic benefits in the subsequent operation, an optimal long-term planning (OLTP) model of carbon capture, utilization, and storage (CCUS) and carbon trading mechanism (CTM) in OOIES is proposed. In the model, a CCUS model using the geological reservoir model for CO2 enhanced oil recovery (CO2-EOR) is proposed, a price-based CTM with carbon emission allowance and Chinese certified emission reduction is included, multi-band intervals are used to describe the uncertain prices and OWF outputs, and GlueVaR is introduced to measure the risks caused by uncertainties for risk management. For the solution of the OLTP model, the geological reservoir model with partial differential equations is transformed into mix-integer linear constraints by using the implicit pressure explicit saturation method, the ReLU-based multi-layer perceptron method and the convex envelop relaxation technique. Moreover, by applying multi-band interval possibility degree and GlueVaR's coherence, the original uncertainty optimization model is transformed into a mixed-integer linear programming model. Case study on an actual OOIES on the east bank of the Pearl River estuary demonstrates the effectiveness of the proposed method. Compared to the optimal results without CCUS and CTM, the optimal results of the proposed method reduce the CO2 emission by 13.28 % and the expected value and GlueVaR of total cost by 2.381 % and 22.480 %, respectively.
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