Optimization of biogas supply networks considering multiple objectives and auction trading prices of electricity

Jafaru Musa Egieya, Lidija Čuček, Klavdija Zirngast, Adeniyi Jide Isafiade, Zdravko Kravanja
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引用次数: 12

Abstract

This contribution presents an hourly-based optimization of a biogas supply network to generate electricity, heat and organic fertilizer while considering multiple objectives and auction trading prices of electricity. The optimization model is formulated as a mixed-integer linear programming (MILP) utilizing a four-layer biogas supply chain. The model accounts for biogas plants based on two capacity levels of methane to produce on average 1?±?0.1?MW and 5?±?0.2?MW electricity. Three objectives are put forward: i) maximization of economic profit, ii) maximization of economic profit while considering cost/benefits from greenhouse gas (GHG) emissions (economic+GHG profit) and iii) maximization of sustainability profit. The results show that the economic profit accrued on hourly-based auction trading prices is negative (loss), hence, four additional scenarios are put forward: i) a scenario whereby carbon prices are steadily increased to the prevalent eco-costs/eco-benefits of global warming; ii) a scenario whereby all the electricity auction trading prices are multiplied by certain factors to find the profitability breakeven factor, iii) a scenario whereby shorter time periods are applied, and investment cost of biogas storage is reduced showing a relationship between cost, volume of biogas stored and the variations in electricity production and (iv) a scenario whereby the capacity of the biogas plant is varied from 1?MW and 5?MW as it affects economics of the process. The models are applied to an illustrative case study of agricultural biogas plants in Slovenia where a maximum of three biogas plants could be selected. The results hence present the effects of the simultaneous relationship of economic profit, economic+GHG profit and sustainability profit on the supply and its benefit to decision-making.

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考虑多目标和竞价交易电价的沼气供应网络优化
这一贡献提出了基于小时的沼气供应网络优化,以产生电力、热能和有机肥料,同时考虑多个目标和拍卖交易价格的电力。该优化模型采用混合整数线性规划(MILP),利用四层沼气供应链。该模型基于两种甲烷生产能力水平来计算沼气工厂,平均产量为1±0.1?MW和5±0.2?兆瓦电能。提出了三个目标:1)经济利润最大化;2)经济利润最大化,同时考虑温室气体(GHG)排放的成本/收益(经济+温室气体利润);3)可持续利润最大化。结果表明,以小时为基础的拍卖交易价格产生的经济利润为负(损失),因此提出了四种情景:1)碳价格稳步上升至全球变暖的普遍生态成本/生态效益的情景;Ii)所有电力拍卖交易价格乘以某些因素以找到盈利盈亏平衡因素的情况,iii)采用较短时间的情况,沼气储存的投资成本降低,显示成本,沼气储存量与电力生产变化之间的关系,以及(iv)沼气发电厂的容量从1?MW和5?MW,因为它影响过程的经济性。该模型应用于斯洛文尼亚农业沼气厂的说明性案例研究,其中最多可以选择三个沼气厂。研究结果揭示了经济利润、经济+温室气体利润和可持续利润三者的同步关系对供给及其决策效益的影响。
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