Alfi Bahar, Muhammad Yasirroni, Sarjiya, M. Isnaeni Bambang Setyonegoro
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Unit commitment and economic dispatch with mixed-integer linear programming (MILP) method using CPLEX and Python were carried out to calculate the fuel and generation costs per kWh before and after the penetration. MILP was used to solve the cost fuel equation, namely an integer and nonlinear mix equations, that are challenging to be solved using standar nonlinear programming methods. Due to the use of the MILP-UC, all objective function equations and restraint functions must be linear functions. The tests were conducted for three years, from 2023 to 2025. Simulation results on the Java-Bali system show that the capacity of solar power plants penetrating the Java-Bali system against the peak load will be 52%, 52%, and 50% in 2023, 2024, and 2025, respectively. Meanwhile, penetration of solar power plants to technical minimum loading of existing power plants resulted in the fuel cost falling by 23% in 2023 and 22% in 2024 and 2025. 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引用次数: 0
摘要
技术的发展和安装成本的降低使印度尼西亚的太阳能发电厂迅速增长。国家电力公司(Perusahaan Listrik Negara, PLN)致力于到2025年实现可再生能源占能源结构的23%。太阳能发电厂的独特之处在于它们只在白天供电。它使连接到电力系统的太阳能发电厂改变了爪哇-巴厘岛系统的负荷分布。在本研究中,太阳能发电厂的渗透改变了Java-Bali系统的调度,因为渗透安装在现有发电厂的技术最小负荷上。当穿透太大时,可能会导致火力发电机组调度失败。利用CPLEX和Python,采用混合整数线性规划(MILP)方法进行机组承诺和经济调度,计算并网前后的每千瓦时燃料和发电成本。该方法用于求解成本燃料方程,即一个整数和非线性混合方程,这是标准非线性规划方法难以求解的。由于使用了MILP-UC,所有的目标函数方程和约束函数都必须是线性函数。试验进行了三年,从2023年到2025年。在Java-Bali系统上的仿真结果表明,2023年、2024年和2025年,穿透Java-Bali系统的太阳能电站的峰值负荷容量分别为52%、52%和50%。同时,太阳能发电厂对现有发电厂技术最低负荷的渗透导致燃料成本在2023年下降23%,在2024年和2025年下降22%。最后,2023年每千瓦时的发电成本将下降8%,2024年和2025年将低至7%。
Photovoltaic Penetration with MILP Method and Technical Minimum Loading Consideration
Technological development and the reduction of installation costs have caused a rapid growth of solar power plants in Indonesia. The National Electricity Company (Perusahaan Listrik Negara, PLN) strives to achieve the energy mix of renewable energy to 23% by 2025. Solar power plants are unique in that they only supply their power during the daytime. It makes solar power plants connected to the power system change the load profile of the Java-Bali system. In this study, the penetration of solar power plants changed the scheduling of the Java-Bali system because the penetration was installed to the technical minimum loading of existing power plants. When penetration is too big, thermal generator scheduling failure is possible. Unit commitment and economic dispatch with mixed-integer linear programming (MILP) method using CPLEX and Python were carried out to calculate the fuel and generation costs per kWh before and after the penetration. MILP was used to solve the cost fuel equation, namely an integer and nonlinear mix equations, that are challenging to be solved using standar nonlinear programming methods. Due to the use of the MILP-UC, all objective function equations and restraint functions must be linear functions. The tests were conducted for three years, from 2023 to 2025. Simulation results on the Java-Bali system show that the capacity of solar power plants penetrating the Java-Bali system against the peak load will be 52%, 52%, and 50% in 2023, 2024, and 2025, respectively. Meanwhile, penetration of solar power plants to technical minimum loading of existing power plants resulted in the fuel cost falling by 23% in 2023 and 22% in 2024 and 2025. Lastly, the cost of generation per kWh will be decreased by 8% in 2023 and will be as low as 7% in 2024 and 2025.