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CN111884266A - Gas turbine intraday rolling unit combination optimization method - Google Patents

Gas turbine intraday rolling unit combination optimization method Download PDF

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CN111884266A
CN111884266A CN202010633574.8A CN202010633574A CN111884266A CN 111884266 A CN111884266 A CN 111884266A CN 202010633574 A CN202010633574 A CN 202010633574A CN 111884266 A CN111884266 A CN 111884266A
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周亦洲
卫志农
孙国强
臧海祥
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Abstract

本发明公开了一种燃气轮机日内滚动机组组合优化方法,步骤:预测当前时段之后的可再生能源出力;建立并求解燃气轮机日内滚动机组组合模型,获得当前及之后时段燃气轮机日内滚动机组组合决策和输出功率;重复前述步骤,直至优化时段结束。本发明考虑日内调度对燃气轮机机组组合决策的滚动调整,能充分发挥燃气轮机的灵活性和对可再生能源波动的跟踪能力,从而有效应对可再生能源剧烈波动的情况。

Figure 202010633574

The invention discloses a method for optimizing the combination of gas turbine rolling units within a day. The steps are as follows: predicting the output of renewable energy after the current period; establishing and solving a combination model of the rolling gas turbine units within the day, and obtaining the decision and output power of the rolling unit combination within the current and subsequent periods. ; Repeat the preceding steps until the optimization period ends. The present invention takes into account the rolling adjustment of the combination decision of the gas turbine unit by intraday scheduling, and can give full play to the flexibility of the gas turbine and the ability to track the fluctuation of the renewable energy, thereby effectively dealing with the severe fluctuation of the renewable energy.

Figure 202010633574

Description

一种燃气轮机日内滚动机组组合优化方法A method for optimizing the combination of gas turbine rolling units within a day

技术领域technical field

本发明属于电力系统调度领域,特别涉及了一种燃气轮机机组组合优化方法。The invention belongs to the field of power system scheduling, and particularly relates to a combined optimization method for gas turbine units.

背景技术Background technique

随着社会的高速发展、经济全球化和工业化进程加快,能源需求大幅上升。按照目前人类社会发展的能源需求,化石能源等非可再生能源将逐渐难以支撑人类社会的可持续发展。开发清洁能源逐步替代传统化石能源成为了可取之道。近年来,可再生能源大量并网。根据美国能源信息管理局于2019年发布的International Energy Outlook预测,2020-2050年间,可再生能源发电增量将处于首位(每年平均增长率高达3.6%),至2025年,可再生能源发电将取代燃煤发电成为首要发电能源。With the rapid development of society, the acceleration of economic globalization and industrialization, the demand for energy has risen sharply. According to the current energy demand of human society development, non-renewable energy such as fossil energy will gradually be difficult to support the sustainable development of human society. It is desirable to develop clean energy to gradually replace traditional fossil energy. In recent years, a large number of renewable energy sources have been connected to the grid. According to the International Energy Outlook released by the U.S. Energy Information Administration in 2019, the incremental renewable energy generation will be the first between 2020 and 2050 (up to an average annual growth rate of 3.6%), and by 2025, renewable energy generation will replace Coal-fired power generation has become the primary energy source for power generation.

然而,可再生能源出力的随机性和间歇性给电力系统的安全稳定运行带来巨大的挑战。燃气轮机作为一种快速响应机组,能很好地平抑可再生能源出力的波动。目前对燃气轮机机组组合的研究普遍参照传统燃煤机组,即考虑燃气轮机日前机组组合调度。该调度策略在日前固定燃气轮机的机组组合决策,并认为机组组合决策在日内保持不变。然而,燃气轮机的灵活性远大于传统燃煤机组,在日内调度中固定燃气轮机的机组组合决策将难以充分发挥燃气轮机的灵活性和快速响应能力。随着可再生能源渗透率的不断提高,该策略已不足以应对可再生能源剧烈波动的情况。However, the randomness and intermittency of renewable energy output bring great challenges to the safe and stable operation of the power system. As a fast-response unit, gas turbine can well smooth the fluctuation of renewable energy output. At present, the research on the combination of gas turbine units generally refers to the traditional coal-fired units, that is, the combination scheduling of gas turbine units is considered. The scheduling strategy fixes the unit combination decision of the gas turbine a few days ago, and considers that the unit combination decision remains unchanged during the day. However, the flexibility of gas turbines is much greater than that of traditional coal-fired units, and it will be difficult to make full use of the flexibility and rapid response capabilities of gas turbines in the decision of the unit combination of fixed gas turbines in intraday scheduling. As the penetration rate of renewable energy continues to increase, this strategy is no longer sufficient to cope with the drastic fluctuations in renewable energy.

发明内容SUMMARY OF THE INVENTION

为了解决上述背景技术提出的技术问题,本发明提供了一种燃气轮机日内滚动机组组合优化方法。In order to solve the technical problems raised by the above-mentioned background art, the present invention provides a method for optimizing the combination of gas turbine rolling units within a day.

为了实现上述技术目的,本发明的技术方案为:In order to realize the above-mentioned technical purpose, the technical scheme of the present invention is:

一种燃气轮机日内滚动机组组合优化方法,包括以下步骤:A method for optimizing the combination of gas turbine rolling units within a day, comprising the following steps:

(1)预测当前时段之后的可再生能源出力;(1) Predict the renewable energy output after the current period;

(2)建立并求解燃气轮机日内滚动机组组合模型,获得当前及之后时段燃气轮机日内滚动机组组合决策和输出功率;(2) Establish and solve the gas turbine rolling unit combination model within the day, and obtain the decision and output power of the gas turbine rolling unit combination within the current and subsequent periods;

(3)重复步骤(1)-(2),直至优化时段结束。(3) Repeat steps (1)-(2) until the optimization period ends.

进一步地,在步骤(1)中,采用时间序列法、人工神经网络或支持向量机预测c时段之后的可再生能源出力,c为当前时段。Further, in step (1), a time series method, an artificial neural network or a support vector machine is used to predict the renewable energy output after c period, where c is the current period.

进一步地,步骤(2)的具体过程如下:Further, the concrete process of step (2) is as follows:

(2-1)建立燃气轮机日内滚动机组组合模型的目标函数:(2-1) Establish the objective function of the gas turbine daily rolling unit combination model:

Figure BDA0002566844200000021
Figure BDA0002566844200000021

上式中,

Figure BDA0002566844200000022
分别为燃气轮机e的启动、停止、固定和单位发电成本;机组组合变量ue,c、ve,c、xe,c分别表示当前时段燃气轮机e是否启动、停止、工作,是则置1,否则置0;
Figure BDA0002566844200000023
为当前时段燃气轮机e的输出功率;机组组合变量ue,t、ve,t、xe,t分别表示t时段燃气轮机e是否启动、停止、工作;
Figure BDA0002566844200000024
为t时段燃气轮机e的输出功率;t为优化时段;In the above formula,
Figure BDA0002566844200000022
are the start, stop, fixed and unit power generation costs of the gas turbine e respectively; the unit combination variables ue ,c , ve ,c and x e,c respectively indicate whether the gas turbine e is started, stopped and working in the current period, if it is, it is set to 1, Otherwise set to 0;
Figure BDA0002566844200000023
is the output power of the gas turbine e in the current period; the unit combination variables u e,t , ve ,t , x e,t respectively indicate whether the gas turbine e is started, stopped or worked in the t period;
Figure BDA0002566844200000024
is the output power of the gas turbine e in the period t; t is the optimization period;

(2-2)建立燃气轮机日内滚动机组组合模型的约束条件:(2-2) Constraints for establishing a gas turbine rolling unit combination model within a day:

a)燃气轮机约束:a) Gas turbine constraints:

xe,t-xe,t-1=ue,t-ve,t x e,t -x e,t-1 =u e,t -v e,t

xe,τ≥ue,t x e,τ ≥u e,t

1-xe,τ≥ve,t 1-x e,τ ≥ve ,t

Figure BDA0002566844200000031
Figure BDA0002566844200000031

Figure BDA0002566844200000032
Figure BDA0002566844200000032

Figure BDA0002566844200000033
Figure BDA0002566844200000033

上式中,

Figure BDA0002566844200000034
分别为燃气轮机e的最大、最小输出功率;
Figure BDA0002566844200000035
分别为燃气轮机e的最大向上、向下爬坡率;
Figure BDA0002566844200000036
为t-1时段燃气轮机e的输出功率;机组组合变量xe,t-1表示t-1时段燃气轮机e是否工作,是则置1,否则置0;b)配电网潮流约束:In the above formula,
Figure BDA0002566844200000034
are the maximum and minimum output power of the gas turbine e, respectively;
Figure BDA0002566844200000035
are the maximum upward and downward slope rates of the gas turbine e, respectively;
Figure BDA0002566844200000036
is the output power of the gas turbine e during the t-1 period; the unit combination variable x e, t-1 indicates whether the gas turbine e is working during the t-1 period, if it is, it is set to 1, otherwise it is set to 0; b) The power flow constraint of the distribution network:

Figure BDA0002566844200000037
Figure BDA0002566844200000037

Figure BDA0002566844200000038
Figure BDA0002566844200000038

Vj,t=Vi,t-(Pij,trij+Qij,txij)/V0 V j,t =V i,t -(P ij,t r ij +Q ij,t x ij )/V 0

上式中,

Figure BDA0002566844200000039
分别为t时段节点j的有功、无功电源输出功率,其中,
Figure BDA00025668442000000310
包括节点j燃气轮机的输出功率和可再生能源出力;Pij,t、Qij,t分别为t时段支路i-j的有功、无功功率;
Figure BDA00025668442000000311
为首端节点为j的所有支路集合;Pjk,t、Qjk,t分别为t时段支路j-k的有功、无功功率;
Figure BDA00025668442000000312
分别为t时段节点j的有功、无功负荷;Vi,t、Vj,t分别为t时段节点i、j的电压幅值;rij、xij分别为支路i-j的电阻、电抗;V0为电压基准值;In the above formula,
Figure BDA0002566844200000039
are the active and reactive power output power of node j in t period, respectively, where,
Figure BDA00025668442000000310
Including the output power of the gas turbine at node j and the output of renewable energy; P ij,t and Q ij,t are the active and reactive power of branch ij in the t period;
Figure BDA00025668442000000311
is the set of all branches whose head-end node is j; P jk,t and Q jk,t are the active and reactive power of branch jk in t period;
Figure BDA00025668442000000312
are the active and reactive loads of node j in the t period respectively; V i,t and V j,t are the voltage amplitudes of the nodes i and j in the t period respectively; r ij and x ij are the resistance and reactance of the branch ij respectively; V 0 is the voltage reference value;

(2-3)采用建模软件求解燃气轮机日内滚动机组组合模型,获得c及之后时段燃气轮机机组组合决策和输出功率。(2-3) Use the modeling software to solve the rolling unit combination model of the gas turbine within a day, and obtain the combination decision and output power of the gas turbine unit in the period c and later.

进一步地,只有c时段的机组组合决策和输出功率被应用于实际调度中,而c之后时段的机组组合决策和输出功率需根据最新的预测信息实时调整。Further, only the unit combination decision and output power in period c are used in the actual dispatch, and the unit combination decision and output power in the period after c need to be adjusted in real time according to the latest forecast information.

进一步地,求解燃气轮机日内滚动机组组合模型的建模软件包括CPLEX建模软件和GAMS建模软件。Further, the modeling software for solving the intraday rolling unit combination model of the gas turbine includes CPLEX modeling software and GAMS modeling software.

进一步地,在步骤(3)中,将优化时间窗向后移动一个时段,即c=c+1;重复预测c时段之后的可再生能源出力并求解燃气轮机日内滚动机组组合模型,直到优化时段结束。Further, in step (3), the optimization time window is moved backward by a period of time, that is, c=c+1; the renewable energy output after period c is repeatedly predicted and the gas turbine rolling unit combination model is solved in the day until the end of the optimization period. .

采用上述技术方案带来的有益效果:The beneficial effects brought by the above technical solutions:

本发明在日内调度中滚动预测可再生能源出力,并不断优化燃气轮机的机组组合决策和输出功率,实现日内对燃气轮机机组组合决策的实时调整和对可再生能源出力的实时跟踪,从而有效应对可再生能源剧烈波动的情况。The present invention rolling forecasts the output of renewable energy in intraday scheduling, and continuously optimizes the decision-making and output power of the gas turbine unit combination, realizes the real-time adjustment of the combination decision of the gas turbine unit and the real-time tracking of the output of the renewable energy, so as to effectively deal with the renewable energy. Situations where energy fluctuates wildly.

附图说明Description of drawings

图1是本发明的方法流程图;Fig. 1 is the method flow chart of the present invention;

图2是实施例中IEEE33节点配电网测试系统示意图;2 is a schematic diagram of an IEEE33 node distribution network test system in an embodiment;

图3是实施例中风电日前预测出力、日内滚动预测出力和实际出力数据示意图。FIG. 3 is a schematic diagram of the wind power forecasted output, intraday rolling forecasted output and actual output data in the embodiment.

具体实施方式Detailed ways

以下将结合附图,对本发明的技术方案进行详细说明。The technical solutions of the present invention will be described in detail below with reference to the accompanying drawings.

本发明设计了一种燃气轮机日内滚动机组组合优化方法,如图1所示。The present invention designs a method for optimizing the combination of gas turbine rolling units within a day, as shown in FIG. 1 .

采用IEEE33节点配电网测试系统作为实施例,其示意图见图2。考虑的可再生能源机组为风电机组。燃气轮机GT1、燃气轮机GT2、风电机组WT分别接于配电网节点17、32、21。燃气轮机参数见表1。调度周期为1天,分为24时段。采用时间序列法对风电出力进行预测,风电日前预测出力、日内滚动预测出力和实际出力如图3所示。The IEEE33 node distribution network test system is used as an embodiment, and its schematic diagram is shown in Figure 2. The renewable energy units considered are wind turbines. The gas turbine GT1, the gas turbine GT2, and the wind turbine WT are connected to the distribution network nodes 17, 32, and 21, respectively. The parameters of the gas turbine are shown in Table 1. The scheduling period is 1 day, divided into 24 time periods. The time series method is used to forecast the wind power output.

表1燃气轮机参数Table 1 Gas turbine parameters

Figure BDA0002566844200000051
Figure BDA0002566844200000051

采用GAMS软件对燃气轮机日前机组组合模型和日内滚动机组组合模型进行求解,所得燃气轮机机组组合决策xe,t(开机状态)如表2所示。可以看出,在日内滚动机组组合调度策略中,燃气轮机GT1的开机时段较多,这是由于日内预测较为准确,因而该调度策略增加最大发电容量高的GT1的开机时段,以应对实时风电出力较低的情况,即实现对风电出力的实时跟踪。The day-ahead unit combination model and the intra-day rolling unit combination model of the gas turbine are solved by GAMS software, and the obtained gas turbine unit combination decision x e,t (starting state) is shown in Table 2. It can be seen that in the intraday rolling unit combination scheduling strategy, the gas turbine GT1 has more start-up periods. This is because the intraday forecast is more accurate. Therefore, the scheduling strategy increases the start-up period of GT1 with a high maximum generating capacity to cope with the higher real-time wind power output. In the low case, the real-time tracking of wind power output is realized.

表2燃气轮机机组组合决策对比Table 2 Combination decision comparison of gas turbine units

Figure BDA0002566844200000052
Figure BDA0002566844200000052

Figure BDA0002566844200000061
Figure BDA0002566844200000061

日前机组组合模型和日内滚动机组组合模型的总切负荷量如表3所示。可以看出,在日前机组组合调度策略中,由于机组组合决策在日内保持不变,使得燃气轮机无法实时跟踪风电出力的波动,在实际风电出力较低时,导致了严重的切负荷情况。而日内滚动机组组合调度策略通过对燃气轮机机组组合决策的调整,能够很好地平抑风电出力的波动,从而有效避免切负荷的情况。The total load shedding of the day-ahead unit combination model and the intraday rolling unit combination model is shown in Table 3. It can be seen that in the day-ahead unit combination scheduling strategy, since the unit combination decision remains unchanged within the day, the gas turbine cannot track the fluctuation of wind power output in real time, which leads to serious load shedding when the actual wind power output is low. The intraday rolling unit combination scheduling strategy can well stabilize the fluctuation of wind power output by adjusting the decision of the gas turbine unit combination, thereby effectively avoiding the situation of load shedding.

表3不同方法目标函数值对比Table 3 Comparison of objective function values of different methods

日前机组组合调度day-ahead unit combination scheduling 日内滚动机组组合调度Intraday rolling unit combination scheduling 切负荷量/(MW)Load cut capacity/(MW) 5.7085.708 00

实施例仅为说明本发明的技术思想,不能以此限定本发明的保护范围,凡是按照本发明提出的技术思想,在技术方案基础上所做的任何改动,均落入本发明保护范围之内。The embodiment is only to illustrate the technical idea of the present invention, and cannot limit the protection scope of the present invention. Any changes made on the basis of the technical solution according to the technical idea proposed by the present invention all fall within the protection scope of the present invention. .

Claims (6)

1.一种燃气轮机日内滚动机组组合优化方法,其特征在于,包括以下步骤:1. a method for optimizing the combination of gas turbine rolling units within a day, is characterized in that, comprises the following steps: (1)预测当前时段之后的可再生能源出力;(1) Predict the renewable energy output after the current period; (2)建立并求解燃气轮机日内滚动机组组合模型,获得当前及之后时段燃气轮机日内滚动机组组合决策和输出功率;(2) Establish and solve the gas turbine rolling unit combination model within the day, and obtain the decision and output power of the gas turbine rolling unit combination within the current and subsequent periods; (3)重复步骤(1)-(2),直至优化时段结束。(3) Repeat steps (1)-(2) until the optimization period ends. 2.根据权利要求1所述燃气轮机日内滚动机组组合优化方法,其特征在于,在步骤(1)中,采用时间序列法、人工神经网络或支持向量机预测c时段之后的可再生能源出力,c为当前时段。2. according to the described gas turbine day rolling unit combination optimization method of claim 1, it is characterized in that, in step (1), adopt time series method, artificial neural network or support vector machine to predict the renewable energy output after c period, c for the current period. 3.根据权利要求2所述燃气轮机日内滚动机组组合优化方法,其特征在于,步骤(2)的具体过程如下:3. according to the described gas turbine day rolling unit combination optimization method of claim 2, it is characterized in that, the concrete process of step (2) is as follows: (2-1)建立燃气轮机日内滚动机组组合模型的目标函数:(2-1) Establish the objective function of the gas turbine daily rolling unit combination model:
Figure FDA0002566844190000011
Figure FDA0002566844190000011
上式中,
Figure FDA0002566844190000012
分别为燃气轮机e的启动、停止、固定和单位发电成本;机组组合变量ue,c、ve,c、xe,c分别表示当前时段燃气轮机e是否启动、停止、工作,是则置1,否则置0;
Figure FDA0002566844190000013
为当前时段燃气轮机e的输出功率;机组组合变量ue,t、ve,t、xe,t分别表示t时段燃气轮机e是否启动、停止、工作;
Figure FDA0002566844190000014
为t时段燃气轮机e的输出功率;t为优化时段;
In the above formula,
Figure FDA0002566844190000012
are the start, stop, fixed and unit power generation costs of the gas turbine e respectively; the unit combination variables ue ,c , ve ,c and x e,c respectively indicate whether the gas turbine e is started, stopped and working in the current period, if it is, it is set to 1, Otherwise set to 0;
Figure FDA0002566844190000013
is the output power of the gas turbine e in the current period; the unit combination variables u e,t , ve ,t , x e,t respectively indicate whether the gas turbine e is started, stopped or worked in the t period;
Figure FDA0002566844190000014
is the output power of the gas turbine e in the period t; t is the optimization period;
(2-2)建立燃气轮机日内滚动机组组合模型的约束条件:(2-2) Constraints for establishing a gas turbine rolling unit combination model within a day: a)燃气轮机约束:a) Gas turbine constraints: xe,t-xe,t-1=ue,t-ve,t x e,t -x e,t-1 =u e,t -v e,t xe,τ≥ue,t x e,τ ≥u e,t 1-xe,τ≥ve,t 1-x e,τ ≥ve ,t
Figure FDA0002566844190000021
Figure FDA0002566844190000021
Figure FDA0002566844190000022
Figure FDA0002566844190000022
Figure FDA0002566844190000023
Figure FDA0002566844190000023
上式中,
Figure FDA0002566844190000024
分别为燃气轮机e的最大、最小输出功率;
Figure FDA0002566844190000025
分别为燃气轮机e的最大向上、向下爬坡率;
Figure FDA0002566844190000026
为t-1时段燃气轮机e的输出功率;机组组合变量xe,t-1表示t-1时段燃气轮机e是否工作,是则置1,否则置0;b)配电网潮流约束:
In the above formula,
Figure FDA0002566844190000024
are the maximum and minimum output power of the gas turbine e, respectively;
Figure FDA0002566844190000025
are the maximum upward and downward slope rates of the gas turbine e, respectively;
Figure FDA0002566844190000026
is the output power of the gas turbine e during the t-1 period; the unit combination variable x e, t-1 indicates whether the gas turbine e is working during the t-1 period, if it is, it is set to 1, otherwise it is set to 0; b) The power flow constraint of the distribution network:
Figure FDA0002566844190000027
Figure FDA0002566844190000027
Figure FDA0002566844190000028
Figure FDA0002566844190000028
Vj,t=Vi,t-(Pij,trij+Qij,txij)/V0 V j,t =V i,t -(P ij,t r ij +Q ij,t x ij )/V 0 上式中,
Figure FDA0002566844190000029
分别为t时段节点j的有功、无功电源输出功率,其中,
Figure FDA00025668441900000210
包括节点j燃气轮机的输出功率和可再生能源出力;Pij,t、Qij,t分别为t时段支路i-j的有功、无功功率;
Figure FDA00025668441900000211
为首端节点为j的所有支路集合;Pjk,t、Qjk,t分别为t时段支路j-k的有功、无功功率;
Figure FDA00025668441900000212
分别为t时段节点j的有功、无功负荷;Vi,t、Vj,t分别为t时段节点i、j的电压幅值;rij、xij分别为支路i-j的电阻、电抗;V0为电压基准值;
In the above formula,
Figure FDA0002566844190000029
are the active and reactive power output power of node j in t period, respectively, where,
Figure FDA00025668441900000210
Including the output power of the gas turbine at node j and the output of renewable energy; P ij,t and Q ij,t are the active and reactive power of branch ij in the t period;
Figure FDA00025668441900000211
is the set of all branches whose head-end node is j; P jk,t and Q jk,t are the active and reactive power of branch jk in t period;
Figure FDA00025668441900000212
are the active and reactive loads of node j in the t period respectively; V i,t and V j,t are the voltage amplitudes of the nodes i and j in the t period respectively; r ij and x ij are the resistance and reactance of the branch ij respectively; V 0 is the voltage reference value;
(2-3)采用建模软件求解燃气轮机日内滚动机组组合模型,获得c及之后时段燃气轮机机组组合决策和输出功率。(2-3) Use the modeling software to solve the rolling unit combination model of the gas turbine within a day, and obtain the combination decision and output power of the gas turbine unit in the period c and later.
4.根据权利要求3所述燃气轮机日内滚动机组组合优化方法,其特征在于,只有c时段的机组组合决策和输出功率被应用于实际调度中,而c之后时段的机组组合决策和输出功率需根据最新的预测信息实时调整。4. The intraday rolling unit combination optimization method of a gas turbine according to claim 3, characterized in that, only the unit combination decision and output power in the c period is applied in the actual dispatch, and the unit combination decision and output power in the period after c need to be based on The latest forecast information is adjusted in real time. 5.根据权利要求3所述燃气轮机日内滚动机组组合优化方法,其特征在于,求解燃气轮机日内滚动机组组合模型的建模软件包括CPLEX建模软件和GAMS建模软件。5 . The method for optimizing the combination of gas turbine rolling units within a day according to claim 3 , wherein the modeling software for solving the combination model of gas turbine rolling units within a day includes CPLEX modeling software and GAMS modeling software. 6 . 6.根据权利要求2所述燃气轮机日内滚动机组组合优化方法,其特征在于,在步骤(3)中,将优化时间窗向后移动一个时段,即c=c+1;重复预测c时段之后的可再生能源出力并求解燃气轮机日内滚动机组组合模型,直到优化时段结束。6. The method for optimizing the combination of gas turbine rolling units within a day according to claim 2, characterized in that, in step (3), the optimization time window is moved backward by a period of time, that is, c=c+1; Renewable energy output and solving the gas turbine rolling unit combination model within the day until the end of the optimization period.
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