CN110516982B - Method for calculating multi-energy complementary capability index of inter-provincial power grid - Google Patents

Method for calculating multi-energy complementary capability index of inter-provincial power grid Download PDF

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CN110516982B
CN110516982B CN201910894946.XA CN201910894946A CN110516982B CN 110516982 B CN110516982 B CN 110516982B CN 201910894946 A CN201910894946 A CN 201910894946A CN 110516982 B CN110516982 B CN 110516982B
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傅旭
张祥成
范丽霞
李富春
田旭
孙沛
马雪
李丁
王昭
杨攀峰
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Northwest Electric Power Design Institute of China Power Engineering Consulting Group
Economic and Technological Research Institute of State Grid Qianghai Electric Power Co Ltd
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Abstract

The invention provides a method for calculating a multi-energy complementary capacity index of an inter-provincial power grid, which comprises the following steps of: 1) calculating the annual operation mode under the condition that each province independently operates, and determining the starting mode of each province; 2) calculating natural complementarity between provinces according to power exchange requirements under the condition that each province independently operates and produces; 3) under the condition that the starting mode of each province is not changed, determining the positive and negative adjusting capacity of each province; 4) and calculating the power-on complementary capacity of each province on the basis of the power-on complementary capacity of each province. The three indexes give out the inter-provincial complementary ability from different levels, not only ensures the operation independence of each province, but also realizes the mutual economy of each province, and greatly simplifies the solving method, and has definite physical significance and simple operation.

Description

一种省间电网多能互补能力指标的计算方法A calculation method of multi-energy complementary capacity index of inter-provincial power grid

技术领域technical field

本发明涉及电力系统规划和运行调度领域，特别涉及一种省间电网多能互补能力指标的计算方法。The invention relates to the field of power system planning and operation scheduling, in particular to a method for calculating a multi-energy complementary capability index of an inter-provincial power grid.

背景技术Background technique

风电、光伏等新能源发电大规模并网情况下，多省区电网互补运行是研究热点。理论上多省区电网协调运行可将多个省区合并为一个省区统一进行优化求解，但存在如下问题：(1)不符合我国以省为实体的电网调度运行模式；(2)多省区合并为一个省区优化运行可能导致各省区火电开机不均，即某省区火电开机过多，而其他省区火电开机过少；(3)由开机方式的不均衡导致联络线功率交换过大。随着新能源发电的大规模并网，西北地区成为一个包含水电、火电、风电、光伏、光热等多种类型电源复杂系统。在新能源发电大规模并网运行情况下，如何对多省区电网进行协调互补，且适应“省为实体”调度模式对新能源发电的发展和电网调度运行具有重要意义。In the case of large-scale grid-connected power generation from new energy sources such as wind power and photovoltaics, the complementary operation of multi-provincial power grids is a research hotspot. Theoretically, the coordinated operation of multi-provincial power grids can combine multiple provinces into one for unified optimization solution, but there are the following problems: (1) It does not conform to the grid dispatching operation mode with provinces as entities in my country; (2) Multi-province power grid dispatching operation mode Optimizing the operation of merging regions into one province may result in uneven startup of thermal power in various provinces, that is, too many thermal power startups in one province, while too few in other provinces; (3) The unbalanced startup mode leads to excessive power exchange of the tie line. big. With the large-scale integration of new energy power generation into the grid, the northwest region has become a complex system of various types of power sources including hydropower, thermal power, wind power, photovoltaics, and solar thermal. In the case of large-scale grid-connected operation of new energy power generation, how to coordinate and complement multi-provincial power grids and adapt to the "province as an entity" dispatch mode is of great significance to the development of new energy power generation and power grid dispatch operation.

发明内容SUMMARY OF THE INVENTION

为解决多省区电网之间的协调互补，本发明提出了一种省间电网多能互补能力指标的计算方法。所提方法适合以省为实体的调度模式，既保证各省独立性，又保证各省电力互济性。在求解方法上则大大简化，物理意义明确、操作简单。In order to solve the coordination and complementation between the power grids of multiple provinces, the present invention proposes a method for calculating the multi-energy complementarity capability index of the power grids between provinces. The proposed method is suitable for the dispatching mode with the province as the entity, which not only ensures the independence of each province, but also ensures the mutual economical power of each province. The solution method is greatly simplified, the physical meaning is clear, and the operation is simple.

为了实现上述目的，本发明采用如下技术方案：In order to achieve the above object, the present invention adopts the following technical solutions:

一种省间电网多能互补能力指标的计算方法，包括以下步骤：A method for calculating the multi-energy complementary capability index of an inter-provincial power grid, comprising the following steps:

1)计算各省区独立运行情况下的全年各类电源的8760h的出力和启停状态；1) Calculate the 8760h output and start-stop status of various power sources throughout the year under the condition of independent operation of each province;

2)根据各省区独立运行生产情况下的功率交换需求，计算省区间功率交换需求曲线所具有的自然互补能力。自然互补能力指的是各省区独立运行情况下，若某时段A省有弃电，而Q省存在电力不足，则该时段A省和Q省具有了互补性，由于是A省和Q省各自独立运行情况下的功率交换需求，A省和Q省之间此时具有的互补能力为自然互补能力；2) Calculate the natural complementarity of the power exchange demand curve between provinces according to the power exchange demand under the condition of independent operation of each province. Natural complementarity refers to the fact that under the condition of independent operation of each province and region, if province A has power abandonment in a certain period of time, but province Q has insufficient power, then province A and province Q are complementary in this period, because province A and province Q are their respective For the power exchange requirement under the condition of independent operation, the complementary capability between province A and province Q at this time is the natural complementary capability;

3)计算各省区的定开机互补能力。定开机互补能力是指在各省区开机方式确定的情况下的正向和负向调节能力，即各省区在自然互补的基础上，增加或降低正在运行的可调整电源出力后，各省区具备的互补能力；3) Calculate the complementary capacity of each province and region. The complementary capacity of fixed power-on refers to the positive and negative adjustment capacity under the condition that the power-on mode of each province is determined, that is, after each province increases or decreases the output of the adjustable power supply in operation on the basis of natural complementarity, each province has the ability to adjust. complementary capabilities;

4)计算各省区增开机互补能力。增开机互补能力是在定开机互补能力的基础上，在满足机组检修约束的前提下，逐月判断各省区能增加的火电开机规模，进而调整开机方式增加各省区的互补能力。4) Calculate the complementary capacity of each province and region. To increase the start-up complementary capacity is based on the fixed start-up complementary capacity, and on the premise of meeting the maintenance constraints of the unit, to determine the thermal power start-up scale that can be increased in each province on a monthly basis, and then adjust the start-up method to increase the complementary capacity of each province.

作为本发明的进一步改进，步骤1)中各省区独立运行时，采用混合整数线性优化模型，求得以综合成本最低为目标函数、包含多类型电源的各省区生产模拟结果，即：As a further improvement of the present invention, when each province operates independently in step 1), a mixed integer linear optimization model is adopted to obtain the production simulation result of each province containing the multi-type power supply with the lowest comprehensive cost as the objective function, namely:

Figure GDA0003594553420000021
Figure GDA0003594553420000021

式中：Cit为火电机组i在t时段的发电成本函数；Pi,t为火电机组i在t时段的有功出力；Qit,up和Qit,off分别为火电机组i在t时段的启动和停机费用；Uit和Ui,t-1分别为火电机组i在t和t-1时段的运行状态；λ1、λ2、λ3、λ4分别为弃风、弃光、弃水、以及因光热机组调峰运行而造成效率降低的惩罚因子；λ5为失负荷惩罚；λ6为失备用惩罚；Wbt为t时段风电场b的出力；

Figure GDA0003594553420000022
为t时段风电场b的预测出力；Spt为t时段光伏电站p的出力；
Figure GDA0003594553420000038
为t时段光伏电站p的预测出力；Eht为水电机组h在t时段的弃水；lz,t和hz,t分别为t时段节点z的失负荷量和失备用量；Hvt为光热机组v在t时段的效率；Mvt,up和Mvt,off分别为光热机组v在t时段的启动和停机费用；
Figure GDA0003594553420000031
分别为光热机组v在t和t-1时段的运行状态；
Figure GDA0003594553420000032
为光热机组v在t时段的有功出力；G为所有火电机组的集合；M为所有水电机组的集合；D为所有光热机组的集合；T为所有时段的集合；B为所有风电和光伏接入节点的集合；K为所有负荷节点集合。In the formula: C it is the power generation cost function of thermal power unit i in period t; P i,t is the active power output of thermal power unit i in period t; Q it,up and Q it,off are the power generation cost of thermal power unit i in period t, respectively. Start-up and shutdown costs; U it and U i, t-1 are the operating states of thermal power unit i at t and t - 1 , respectively; Water, and the penalty factor for the efficiency reduction caused by the peak shaving operation of the CSP unit; λ 5 is the penalty for loss of load; λ 6 is the penalty for loss of standby; W bt is the output of wind farm b in period t;
Figure GDA0003594553420000022
is the predicted output of wind farm b in period t; S pt is the output of photovoltaic power station p in period t;
Figure GDA0003594553420000038
is the predicted output of the photovoltaic power station p in the t period; E ht is the abandoned water of the hydroelectric unit h in the t period; l z,t and h z,t are the load loss and reserve loss of the node z in the t period respectively; H vt is Efficiency of CSP unit v in period t; M vt,up and M vt,off are the start-up and shutdown costs of CSP unit v in period t, respectively;
Figure GDA0003594553420000031
are the operating states of the CSP unit v at t and t-1, respectively;
Figure GDA0003594553420000032
is the active power output of CSP unit v in period t; G is the collection of all thermal power units; M is the collection of all hydropower units; D is the collection of all CSP units; T is the collection of all time periods; B is the collection of all wind power and photovoltaics The set of access nodes; K is the set of all load nodes.

作为本发明的进一步改进，混合整数线性优化模型考虑的约束条件为：As a further improvement of the present invention, the constraints considered by the mixed integer linear optimization model are:

①系统平衡约束；①System balance constraints;

②电站/机组运行约束；②Power station/unit operation constraints;

③光热电站约束；③ Constraints of CSP station;

④地区间联络线功率约束。④ Inter-regional tie line power constraints.

作为本发明的进一步改进，自然互补性指各省区独立运行情况下得出的功率交换需求曲线所具有的互补性，该功率交换需求是指两省的新能源弃电或电力不足。As a further improvement of the present invention, natural complementarity refers to the complementarity of the power exchange demand curves obtained under the condition of independent operation of each province, and the power exchange demand refers to the abandonment or insufficient power of new energy sources in the two provinces.

作为本发明的进一步改进，步骤2)中，两省间自然互补能力计算步骤如下：As a further improvement of the present invention, in step 2), the calculation steps of the natural complementarity capacity between the two provinces are as follows:

记A省和Q省独立运行情况下，t时段的功率交换需求分别为：In the case of independent operation of province A and province Q, the power exchange requirements in period t are:

Figure GDA0003594553420000033
Figure GDA0003594553420000033

式中：

Figure GDA0003594553420000034
表示t时段A省需送出电力；
Figure GDA0003594553420000035
表示t时段A省需受入电力；
Figure GDA0003594553420000036
表示t时段Q省需送出电力；
Figure GDA0003594553420000037
表示t时段Q省需受入电力；where:
Figure GDA0003594553420000034
Indicates that province A needs to send electricity in period t;
Figure GDA0003594553420000035
Indicates that province A needs to receive electricity in period t;
Figure GDA0003594553420000036
Indicates that province Q needs to send electricity in period t;
Figure GDA0003594553420000037
Indicates that province Q needs to receive electricity in period t;

由于任意t时段不能既缺电又弃电，因此有上式满足：Since both power shortage and power abandonment cannot be performed in any t period, the above formula satisfies:

Figure GDA0003594553420000041
Figure GDA0003594553420000041

若某t时段，A省和Q省的功率交换需求存在如下关系：For a certain period of time t, the power exchange requirements of province A and province Q have the following relationship:

IAt×IQt＜0 (4)I At ×I Qt <0 (4)

则A省和Q省的功率交换需求存在了互补性，即t时段A省需送出电力而Q省需要受入电力，或t时段A省需受入电力而Q省需要送出电力；Then the power exchange demands of province A and province Q are complementary, that is, province A needs to send electricity and province Q needs to receive electricity in period t, or province A needs to receive electricity and province Q needs to send electricity in period t;

当上式成立时，t时段，A省和Q省可完成的功率交换为：When the above formula is established, the power exchange that can be completed in province A and province Q in t period is:

ZRt＝min{|IAt|,|IQt|} (5)ZR t = min{|I At |, |I Qt |} (5)

式中符号|·|表示绝对值；The symbol |·| represents the absolute value;

则时段T内，A省和Q省通过自然互补可完成的互济电量E1为：Then in the time period T, the mutual aid electricity E 1 that can be completed by province A and province Q through natural complementarity is:

Figure GDA0003594553420000042
Figure GDA0003594553420000042

作为本发明的进一步改进，步骤3)中，各省区的定开机互补能力指标的计算步骤如下：As a further improvement of the present invention, in step 3), the calculation steps of the complementary capacity index of the fixed-start of each province are as follows:

①计算任意t时段的A省可调节电源的可调出力：①Calculate the adjustable output of the adjustable power supply in province A at any time period t:

Figure GDA0003594553420000043
Figure GDA0003594553420000043

式中：

Figure GDA0003594553420000044
为A省t时段可调节电源的正向可调出力，
Figure GDA0003594553420000045
Figure GDA0003594553420000046
为A省t时段可调节电源的负向可调出力，
Figure GDA0003594553420000047
utj为t时段可调节电源j的开机状态，为0/1变量，0表示关机，1表示开机；gtj为t时段可调节电源j的出力；
Figure GDA0003594553420000048
为可调节电源j的出力上限；
Figure GDA0003594553420000049
为可调节电源j的出力下限；N为A省可调节电源集合。where:
Figure GDA0003594553420000044
is the forward adjustable output force of the adjustable power supply during the period of A province t,
Figure GDA0003594553420000045
Figure GDA0003594553420000046
It is the negative adjustable output of the adjustable power supply in the period of A province t,
Figure GDA0003594553420000047
u tj is the power-on state of the adjustable power supply j in the t period, which is a 0/1 variable, 0 means off, 1 means the power on; g tj is the output of the adjustable power supply j in the t period;
Figure GDA0003594553420000048
is the output upper limit of the adjustable power supply j;
Figure GDA0003594553420000049
is the output lower limit of the adjustable power supply j; N is the set of adjustable power supplies in A province.

同理，可计算出任意t时段的Q省可调节电源的可调出力：In the same way, the adjustable output of the Q-province adjustable power supply at any time period t can be calculated:

Figure GDA0003594553420000051
Figure GDA0003594553420000051

式中：

Figure GDA0003594553420000052
为Q省t时段可调节电源的正向可调出力，
Figure GDA0003594553420000053
Figure GDA0003594553420000054
为Q省t时段可调节电源的负向可调出力，
Figure GDA0003594553420000055
utr为t时段可调节电源r的开机状态，为0/1变量，0表示关机，1表示开机；gtr为t时段可调节电源r的出力；
Figure GDA0003594553420000056
为可调节电源r的出力上限；
Figure GDA0003594553420000057
为可调节电源r的出力下限；Y为Q省可调节电源集合。where:
Figure GDA0003594553420000052
is the positive adjustable output force of the adjustable power supply during the period of Q and t,
Figure GDA0003594553420000053
Figure GDA0003594553420000054
is the negative adjustable output force of the adjustable power supply during the period of Q and t,
Figure GDA0003594553420000055
u tr is the power-on state of the adjustable power supply r in the t period, which is a 0/1 variable, 0 means shutdown, 1 means start-up; g tr is the output of the adjustable power supply r in the t period;
Figure GDA0003594553420000056
is the output upper limit of the adjustable power supply r;
Figure GDA0003594553420000057
is the output lower limit of the adjustable power supply r; Y is the set of adjustable power supplies in Q province.

②计算A省和Q省t时段电力补充能力：②Calculate the power supplementary capacity of province A and province Q in period t:

Figure GDA0003594553420000058
Figure GDA0003594553420000058

式中：XAt为A省t时段的电力补充能力；XQt为Q省t时段的电力补充能力；In the formula: X At is the power supplementary capacity of province A at time period t; X Qt is the power supplementary capacity of province Q at time period t;

③根据A省和Q省逐时互补能力和方向，确定A省和Q省实际完成的互补电量：③According to the hourly complementary capacity and direction of province A and province Q, determine the actual complementary electricity volume of province A and province Q:

ZDt＝min{|IAt|,|IQt|，|XAt|,|XQt|} (10)ZD t = min{|I At |, |I Qt |, |X At |, |X Qt |} (10)

时段T内，A省和Q省可完成的互济电量E2为：During time period T, the mutual aid electricity E 2 that can be completed by province A and province Q is:

Figure GDA0003594553420000059
Figure GDA0003594553420000059

作为本发明的进一步改进，步骤4)中，各省区增开机互补能力指标计算如下：As a further improvement of the present invention, in step 4), the calculation of the complementary capacity index of additional machines in each province is as follows:

①统计全年A省年最大开机，计算A各月火电仍可增加的开机容量：① Statistical statistics on the maximum start-up of province A in the whole year, and calculate the start-up capacity that thermal power can still increase in each month of A:

Figure GDA00035945534200000510
Figure GDA00035945534200000510

上式中ky为A省第y月的开机容量，kmax为A省全年12个月中最大开机月份的开机容量；my为A省第y月火电未开机容量；In the above formula, k y is the start-up capacity of province A in the yth month, kmx is the start-up capacity of the largest start-up month in the 12 months of the year in province A; m y is the unstarted capacity of thermal power in the yth month of province A;

②判断Q省是否存在电力不足月份，若有，则在Q省电力不足月份y增开A省火电机组容量dy，y＝1,2,…12；②Determine whether there is a power shortage month in Q province, and if so, increase the capacity dy of the thermal power unit in A province in the power shortage month y in Q province, y=1,2,...12;

③计算A省火电增开机后的检修空间J是否满足要求：③ Calculate whether the maintenance space J after the additional startup of thermal power in province A meets the requirements:

Figure GDA0003594553420000061
Figure GDA0003594553420000061

一般要求火电检修面积J大于1.5，若检修面积不满足，则返回步骤②，重新修正A省第y月增开机组容量dy；It is generally required that the thermal power maintenance area J is greater than 1.5. If the maintenance area is not satisfied, then return to step ②, and re-correct the additional power unit capacity dy in the yth month of province A;

④统计A省各月的增开火电机组规模，计算A省增加开机后的任意t时段的互补能力：④ Count the scale of additional thermal power units in province A each month, and calculate the complementary capacity of province A in any t period after the additional start-up:

Figure GDA0003594553420000062
Figure GDA0003594553420000062

式中：

Figure GDA0003594553420000063
为A省t时段增开机组的最大出力；
Figure GDA0003594553420000064
为A省t时段增开机组的最小出力；where:
Figure GDA0003594553420000063
Increase the maximum output of the generator unit for the t period of province A;
Figure GDA0003594553420000064
Increase the minimum output of the generator unit for the t period of province A;

⑤根据A省和Q省的逐时的互补能力和方向，确定A省对Q省的互补能力。⑤According to the hour-by-hour complementary capabilities and directions of A and Q, determine the complementary capabilities of A to Q.

相对于现有技术，本发明的有益效果是：Compared with the prior art, the beneficial effects of the present invention are:

本发明将省间电网的互补能力问题分为自然互补、定开机互补和增开机互补三个层次的问题。自然互补能力指的是A省和Q省独立运行情况下，若某时段A省有弃电，而Q省存在电力不足，则该时段A省和Q省具有了互补性，由于是A省和Q省各自独立运行情况下的功率交换需求，因此两省的互补能力仅根据自身电源结构确定，两省之间此时具有的互补性称为自然互补性。定开机互补指A省和Q省在自然互补的基础上，增加或降低A省和Q省正在运行的可调整电源出力后，A省和Q省具备的互补能力。增开机互补能力是在定开机互补能力的基础上，在满足机组检修约束的前提下，逐月判断A省和Q省能增加的火电开机规模，进而调整开机方式增加A省和Q省的互补能力。上面这三个指标从不同层次给出了省间的互补能力，既保证了各省区的运行独立性，又实现了各省区间的互济性，在求解方法上则大大简化，物理意义明确、操作简单。进行省区间互补能力计算时，所提方法适合以省为实体的调度模式，既保证各省独立性，又保证各省电力互济性。在求解方法上则大大简化，物理意义明确、操作简单。采用本方法可进行适应我国调度模式的省区间互补运行。The invention divides the problem of the complementary ability of the inter-provincial power grid into three levels: natural complementation, fixed power supply complementary and additional power supply complementary. Natural complementarity refers to the independent operation of province A and province Q. If province A has power abandonment in a certain period of time, but province Q has insufficient power, then province A and province Q are complementary in that period. The power exchange requirements of the Q province under the condition of independent operation, so the complementary capacity of the two provinces is only determined according to their own power supply structure, and the complementarity between the two provinces at this time is called natural complementarity. Complementary power supply refers to the complementary capabilities of Province A and Province Q after increasing or reducing the adjustable power output that is running in Province A and Province Q on the basis of natural complementarity. To increase the complementary capacity of start-up is based on the complementary capacity of fixed start-up, and on the premise of meeting the constraints of unit maintenance, to determine the scale of thermal power generation that can be increased in province A and province Q month by month, and then adjust the start-up method to increase the complementarity of province A and province Q. ability. The above three indicators give the complementary capabilities between provinces at different levels, which not only ensures the operational independence of each province, but also realizes the mutual aid of each province. The solution method is greatly simplified, with clear physical meaning and operation. Simple. When calculating the inter-provincial complementary capacity, the proposed method is suitable for the dispatching mode with the province as the entity, which not only ensures the independence of each province, but also ensures the mutual economical power of each province. The solution method is greatly simplified, the physical meaning is clear, and the operation is simple. This method can be used for inter-provincial complementary operation suitable for my country's dispatching mode.

附图说明Description of drawings

图1是本发明的计算流程图；Fig. 1 is the calculation flow chart of the present invention;

图2逐月长期购电电量；Figure 2 Monthly long-term purchase of electricity;

图3青海电网短期购电需求时段分布(亿kWh)；Figure 3. Period distribution of short-term electricity purchase demand in Qinghai Power Grid (100 million kWh);

图4新疆-青海系统的自然互补性；Figure 4 The natural complementarity of the Xinjiang-Qinghai system;

图5新疆和青海逐月固定开机互补率；Figure 5. Xinjiang and Qinghai fixed start-up complementary ratios monthly;

图6新疆-青海逐月增开机互补率。Figure 6 Xinjiang-Qinghai increase the complementary ratio of start-up month by month.

具体实施方式Detailed ways

如图1所示，本发明一种省间电网互补能力指标及其计算，包括以下步骤：As shown in FIG. 1, the present invention provides an inter-provincial power grid complementary capability index and its calculation, including the following steps:

1)计算各省区独立运行情况下的全年8760小时运行方式，确定各省开机方式。1) Calculate the 8760-hour operation mode of the year under the condition of independent operation of each province and region, and determine the start-up mode of each province.

步骤1)中，对各省区进行生产运行模拟时，以系统综合成本最低为目标函数：In step 1), when the production and operation simulation of each province is carried out, the objective function is to take the lowest comprehensive cost of the system as the objective function:

Figure GDA0003594553420000071
Figure GDA0003594553420000071

式中：Cit为火电机组i在t时段的发电成本函数；Pi,t为火电机组i在t时段的有功出力；Qit,up和Qit,off分别为火电机组i在t时段的启动和停机费用；Uit和Ui,t-1分别为火电机组i在t和t-1时段的运行状态；λ1、λ2、λ3、λ4分别为弃风、弃光、弃水、以及因光热机组调峰运行而造成效率降低的惩罚因子；λ5为失负荷惩罚；λ6为失备用惩罚；Wbt为t时段风电场b的出力；

Figure GDA0003594553420000081
为t时段风电场b的预测出力；Spt为t时段光伏电站p的出力；
Figure GDA0003594553420000082
为t时段光伏电站p的预测出力；Eht为水电机组h在t时段的弃水；lz,t和hz,t分别为t时段节点z的失负荷量和失备用量；Hvt为光热机组v在t时段的效率；Mvt,up和Mvt,off分别为光热机组v在t时段的启动和停机费用；
Figure GDA0003594553420000083
分别为光热机组v在t和t-1时段的运行状态；
Figure GDA0003594553420000084
为光热机组v在t时段的有功出力；G为所有火电机组的集合；M为所有水电机组的集合；D为所有光热机组的集合；T为所有时段的集合；B为所有风电和光伏接入节点的集合；K为所有负荷节点集合。In the formula: C it is the power generation cost function of thermal power unit i in period t; P i,t is the active power output of thermal power unit i in period t; Q it,up and Q it,off are the power generation cost of thermal power unit i in period t, respectively. Start-up and shutdown costs; U it and U i, t-1 are the operating states of thermal power unit i at t and t - 1 , respectively; Water, and the penalty factor for the efficiency reduction caused by the peak shaving operation of the CSP unit; λ 5 is the penalty for loss of load; λ 6 is the penalty for loss of standby; W bt is the output of wind farm b in period t;
Figure GDA0003594553420000081
is the predicted output of wind farm b in period t; S pt is the output of photovoltaic power station p in period t;
Figure GDA0003594553420000082
is the predicted output of the photovoltaic power station p in the t period; E ht is the abandoned water of the hydroelectric unit h in the t period; l z,t and h z,t are the load loss and reserve loss of the node z in the t period respectively; H vt is Efficiency of CSP unit v in period t; M vt,up and M vt,off are the start-up and shutdown costs of CSP unit v in period t, respectively;
Figure GDA0003594553420000083
are the operating states of the CSP unit v at t and t-1, respectively;
Figure GDA0003594553420000084
is the active power output of CSP unit v in period t; G is the collection of all thermal power units; M is the collection of all hydropower units; D is the collection of all CSP units; T is the collection of all time periods; B is the collection of all wind power and photovoltaics The set of access nodes; K is the set of all load nodes.

考虑的约束条件为：The constraints considered are:

①系统平衡约束：电力平衡约束、负荷备用约束、调峰平衡约束、保安开机约束等。①System balance constraints: power balance constraints, load backup constraints, peak load balance constraints, security startup constraints, etc.

②电站/机组运行约束：各电站/机组发电出力上和下限约束、承担系统备用容量上下限约束、水电站电量平衡约束、抽水蓄能电站日、周电量平衡约束、电站启停调峰运行时最短开机、停机时间约束等。②Power station/unit operation constraints: upper and lower limits of power generation output of each power station/unit, upper and lower limits of system reserve capacity, power balance constraints of hydropower stations, daily and weekly power balance constraints of pumped-storage power stations, and the shortest start-stop peak-shaving operation time of power stations Startup, downtime constraints, etc.

③光热电站约束：机组热平衡约束、储热罐储/放热最大最小功率约束、汽轮机最大进气约束、机组启动热功率约束、储热周期调节约束等。③ Constraints of CSP station: thermal balance constraints of units, constraints of maximum and minimum power of heat storage tank storage/release, constraints of maximum intake of steam turbines, constraints of unit start-up thermal power, constraints of heat storage period adjustment, etc.

④地区间联络线功率约束：暂态稳定极限约束、热稳定极限约束等。④ Inter-regional tie line power constraints: transient stability limit constraints, thermal stability limit constraints, etc.

2)根据各省区独立运行生产情况下的功率交换需求(新能源弃电或电力不足)，计算省区间的自然互补性。2) Calculate the natural complementarity between provinces according to the power exchange demand (new energy abandonment or power shortage) in the case of independent operation of production in each province.

步骤2)中，两省间自然互补能力计算步骤如下(为叙述方便，以A省和Q省为例)：In step 2), the calculation steps of the natural complementarity capacity between the two provinces are as follows (for the convenience of description, province A and province Q are taken as examples):

自然互补性指各省区独立运行情况下得出的功率交换需求曲线所具有的互补性，该功率交换需求实际上就是A省和Q省的新能源弃电或电力不足。Natural complementarity refers to the complementarity of the power exchange demand curve obtained under the condition of independent operation of each province.

记A省和Q省独立运行情况下，t时段的功率交换需求分别为：In the case of independent operation of province A and province Q, the power exchange requirements in period t are:

Figure GDA0003594553420000091
Figure GDA0003594553420000091

式中：

Figure GDA0003594553420000092
表示t时段A省需送出电力；
Figure GDA0003594553420000093
表示t时段A省需受入电力；
Figure GDA0003594553420000094
表示t时段Q省需送出电力；
Figure GDA0003594553420000095
表示t时段Q省需受入电力；where:
Figure GDA0003594553420000092
Indicates that province A needs to send electricity in period t;
Figure GDA0003594553420000093
Indicates that province A needs to receive electricity in period t;
Figure GDA0003594553420000094
Indicates that province Q needs to send electricity in period t;
Figure GDA0003594553420000095
Indicates that province Q needs to receive electricity in period t;

由于任意t时段不能既缺电又弃电，因此上式满足：Since both power shortage and power abandonment cannot be performed in any t period, the above formula satisfies:

Figure GDA0003594553420000096
Figure GDA0003594553420000096

若t时段，A省和Q省的功率交换需求存在如下关系：In the t period, the power exchange requirements of province A and province Q have the following relationship:

IAt×IQt＜0 (4)I At ×I Qt <0 (4)

则A省和Q省的功率交换需求存在了互补性，即在t时段A省需送出电力而Q省需要受入电力，或t时段A省需受入电力而Q省需要送出电力；Then the power exchange demands of province A and province Q are complementary, that is, province A needs to send electricity and province Q needs to receive electricity in period t, or province A needs to receive electricity and province Q needs to send electricity in period t;

当上式成立时，t时段，A省和Q省可完成的功率交换为When the above formula is established, the power exchange that can be completed in province A and province Q in t period is:

ZRt＝min{|IAt|,|IQt|} (5)ZR t = min{|I At |, |I Qt |} (5)

式中符号|·|表示绝对值；The symbol |·| represents the absolute value;

则时段T内，A省和Q省通过自然互补可完成的互济电量E1为：Then in the time period T, the mutual aid electricity E 1 that can be completed by province A and province Q through natural complementarity is:

Figure GDA0003594553420000097
Figure GDA0003594553420000097

3)在各省区开机方式不变情况下，确定各省区的正向和负向调节能力。3) Determine the positive and negative adjustment capabilities of each province under the condition that the startup mode of each province remains unchanged.

步骤3)中，各省区的定开机互补能力指标的计算步骤如下：In step 3), the calculation steps of the complementary capacity index of fixed start-up in each province are as follows:

①计算任意t时段的A省可调节电源的可调出力：①Calculate the adjustable output of the adjustable power supply in province A at any time period t:

Figure GDA0003594553420000101
Figure GDA0003594553420000101

式中：

Figure GDA0003594553420000102
为A省t时段可调节电源的正向可调出力，
Figure GDA0003594553420000103
Figure GDA0003594553420000104
为A省t时段可调节电源的负向可调出力，
Figure GDA0003594553420000105
utj为t时段可调节电源j的开机状态，为0/1变量，0表示关机，1表示开机；gtj为t时段可调节电源j的出力；
Figure GDA0003594553420000106
为可调节电源j的出力上限；
Figure GDA0003594553420000107
为可调节电源j的出力下限；N为A省可调节电源集合。where:
Figure GDA0003594553420000102
is the forward adjustable output force of the adjustable power supply during the period of A province t,
Figure GDA0003594553420000103
Figure GDA0003594553420000104
It is the negative adjustable output of the adjustable power supply in the period of A province t,
Figure GDA0003594553420000105
u tj is the power-on state of the adjustable power supply j in the t period, which is a 0/1 variable, 0 means off, 1 means the power on; g tj is the output of the adjustable power supply j in the t period;
Figure GDA0003594553420000106
is the output upper limit of the adjustable power supply j;
Figure GDA0003594553420000107
is the output lower limit of the adjustable power supply j; N is the set of adjustable power supplies in A province.

同理，可计算出任意t时段的Q省可调节电源的可调出力：In the same way, the adjustable output of the Q-province adjustable power supply at any time period t can be calculated:

Figure GDA0003594553420000108
Figure GDA0003594553420000108

式中：

Figure GDA0003594553420000109
为Q省t时段可调节电源的正向可调出力，
Figure GDA00035945534200001010
Figure GDA00035945534200001011
为Q省t时段可调节电源的负向可调出力，
Figure GDA00035945534200001012
utr为t时段可调节电源r的开机状态，为0/1变量，0表示关机，1表示开机；gtr为t时段可调节电源r的出力；
Figure GDA00035945534200001013
为可调节电源r的出力上限；
Figure GDA00035945534200001014
为可调节电源r的出力下限；Y为Q省可调节电源集合。where:
Figure GDA0003594553420000109
is the positive adjustable output force of the adjustable power supply during the period of Q and t,
Figure GDA00035945534200001010
Figure GDA00035945534200001011
is the negative adjustable output force of the adjustable power supply during the period of Q and t,
Figure GDA00035945534200001012
u tr is the power-on state of the adjustable power supply r in the t period, which is a 0/1 variable, 0 means shutdown, 1 means start-up; g tr is the output of the adjustable power supply r in the t period;
Figure GDA00035945534200001013
is the output upper limit of the adjustable power supply r;
Figure GDA00035945534200001014
is the output lower limit of the adjustable power supply r; Y is the set of adjustable power supplies in Q province.

②计算A省和Q省t时段电力补充能力：②Calculate the power supplementary capacity of province A and province Q in period t:

Figure GDA00035945534200001015
Figure GDA00035945534200001015

式中：XAt为A省t时段的电力补充能力；XQt为Q省t时段的电力补充能力；In the formula: X At is the power supplementary capacity of province A at time period t; X Qt is the power supplementary capacity of province Q at time period t;

③根据A省和Q省逐时互补能力和方向，确定A省和Q省实际完成的互补电量：③According to the hourly complementary capacity and direction of province A and province Q, determine the actual complementary electricity volume of province A and province Q:

ZDt＝min{|IAt|,|IQt|} (10)ZD t = min{|I At |, |I Qt |} (10)

时段T内，A省和Q省可完成的互济电量E2为：During time period T, the mutual aid electricity E 2 that can be completed by province A and province Q is:

Figure GDA0003594553420000111
Figure GDA0003594553420000111

步骤4)中，各省区增开机互补能力指标计算如下：In step 4), the calculation of the complementary capacity index of each province and region is as follows:

①统计全年A省年最大开机，计算A各月火电仍可增加的开机容量：① Statistical statistics on the maximum start-up of province A in the whole year, and calculate the start-up capacity that thermal power can still increase in each month of A:

Figure GDA0003594553420000112
Figure GDA0003594553420000112

上式中ky为A省第y月的开机容量，kmax为A省全年12个月中最大开机月份的开机容量；my为A省第y月火电未开机容量；In the above formula, k y is the start-up capacity of province A in the yth month, kmx is the start-up capacity of the largest start-up month in the 12 months of the year in province A; m y is the unstarted capacity of thermal power in the yth month of province A;

②判断Q省是否存在电力不足月份，若有，则在Q省电力不足月份y增开A省火电机组容量dy，y＝1,2,…12；②Determine whether there is a power shortage month in Q province, and if so, increase the capacity dy of the thermal power unit in A province in the power shortage month y in Q province, y=1,2,...12;

③计算A省火电增开机后的检修空间J是否满足要求：③ Calculate whether the maintenance space J after the additional startup of thermal power in province A meets the requirements:

Figure GDA0003594553420000113
Figure GDA0003594553420000113

一般要求火电检修面积J大于1.5，若检修面积不满足，则返回步骤②，重新修正A省第y月增开机组容量dy；It is generally required that the thermal power maintenance area J is greater than 1.5. If the maintenance area is not satisfied, then return to step ②, and re-correct the additional power unit capacity dy in the yth month of province A;

④统计A省各月的增开火电机组规模，计算A省增加开机后的任意t时段的互补能力：④ Count the scale of additional thermal power units in province A each month, and calculate the complementary capacity of province A in any t period after the additional start-up:

Figure GDA0003594553420000114
Figure GDA0003594553420000114

式中：

Figure GDA0003594553420000115
为A省t时段增开机组的最大出力；
Figure GDA0003594553420000116
为A省t时段增开机组的最小出力；where:
Figure GDA0003594553420000115
Increase the maximum output of the generator unit for the t period of province A;
Figure GDA0003594553420000116
Increase the minimum output of the generator unit for the t period of province A;

⑤根据A省和Q省的逐时的互补能力和方向，确定A省对Q省的互补能力。⑤According to the hour-by-hour complementary capabilities and directions of A and Q, determine the complementary capabilities of A to Q.

下面以我国青海和新疆、陕西三省区互补运行为例，作详细说明。应该强调的是，下述说明仅仅是实例性的，而不是为了限制本发明的范围及其应用。The following takes the complementary operation of Qinghai, Xinjiang and Shaanxi as an example to explain in detail. It should be emphasized that the following description is exemplary only, and is not intended to limit the scope of the invention and its application.

青海是一个缺电省份，需要与西北其他电网需要通过长期购电和短期临时购电解决其电量不足的问题，本算例通过新疆和青海的互补运行解决青海的长期购电需求问题，通过陕西和青海的互补运行，解决青海的短期购电和新能源弃电问题。Qinghai is a power-deficient province, and it needs to solve its power shortage problem with other power grids in the northwest through long-term power purchase and short-term temporary power purchase. This example solves the long-term power purchase demand problem of Qinghai through the complementary operation of Xinjiang and Qinghai. Complementary operation with Qinghai to solve Qinghai's short-term power purchase and new energy curtailment problems.

具体步骤如下：Specific steps are as follows:

1)读入新疆、青海、陕西的电源规划、负荷预测、新能源发电、日负荷特性曲线、年负荷特性曲线、直流送电曲线等信息。1) Read in information such as power supply planning, load forecasting, new energy power generation, daily load characteristic curve, annual load characteristic curve, and DC power transmission curve in Xinjiang, Qinghai, and Shaanxi.

2)对青海进行全年8760小时生产模拟，确定其长期购电需求、短期购电需求和新能源弃电。2) Carry out 8760 hours of production simulation in Qinghai throughout the year to determine its long-term power purchase demand, short-term power purchase demand and new energy abandonment.

青海电网独立运行生产模拟计算结果如表1所示，青海逐月长期购电需求如图2所示，全年购电需求为40.2亿kWh。扣除长期购电，青海短期电力不足概率0.674％，短期(临时)购电需求为0.2亿kWh，青海短期购电时段分布如图3所示。全年新能源弃电量为79.2亿kWh，火电利用小时为6081小时。Table 1 shows the independent operation and production simulation results of Qinghai Power Grid, and the monthly long-term power purchase demand in Qinghai is shown in Figure 2. The annual power purchase demand is 4.02 billion kWh. After deducting long-term power purchases, the short-term power shortage probability in Qinghai is 0.674%, and the short-term (temporary) power purchase demand is 20 million kWh. The distribution of short-term power purchase periods in Qinghai is shown in Figure 3. In the whole year, the amount of electricity abandoned by new energy sources was 7.92 billion kWh, and the utilization hours of thermal power were 6,081 hours.

表1青海生产模拟结果指标对比Table 1 Comparison of indicators of production simulation results in Qinghai

Figure GDA0003594553420000121
Figure GDA0003594553420000121

3)对新疆进行8760小时生产模拟，计算新疆和青海两省的自然互补率3) 8760 hours of production simulation in Xinjiang to calculate the natural complementarity rate of Xinjiang and Qinghai provinces

新疆和青海逐月自然互补率如图4所示。可以看出，青海可从新疆获得电量补充约13亿kWh，青海长期购电需求的互补率为27.5％。需要指出的是，上述互补率计算中，个别月份的互补率为0，如6月和9月，这并不是说，6月和9月新疆电网没有对青海进行电量补充的能力，而是这2个月青海没有长期购电需求，下面的定开机互补能力和增开机互补能力计算中，6月和9月青海和新疆电网的互补率为0的原因与此相同。The monthly natural complementarity ratio of Xinjiang and Qinghai is shown in Figure 4. It can be seen that Qinghai can obtain about 1.3 billion kWh of electricity from Xinjiang, and the complementation rate of Qinghai's long-term electricity purchase demand is 27.5%. It should be pointed out that in the above calculation of complementary ratio, the complementary ratio of individual months is 0, such as June and September. This does not mean that Xinjiang power grid does not have the ability to supplement Qinghai electricity in June and September, but this There is no long-term electricity purchase demand in Qinghai in 2 months. In the following calculation of complementary capacity of scheduled power-up and complementary capacity of additional power-up, the reason why the complementary ratio of Qinghai and Xinjiang power grids is 0 in June and September is the same.

4)计算新疆和青海两省的定开机互补率4) Calculate the complementary ratio of scheduled start-up in Xinjiang and Qinghai provinces

如前所述，依靠两省的自然互补，无法满足青海的长期购电需求，因此，新疆在和青海自然互补的基础上，通过调整新疆在运可调电源(算例中为火电)的出力，增加对青海的电量补充，青海从新疆获得的主动定开机互补电量约36亿kWh，青海电量缺额的总受入互补率为89.5％，如图5所示。As mentioned above, relying on the natural complementarity of the two provinces cannot meet Qinghai's long-term power purchase needs. Therefore, on the basis of natural complementarity with Qinghai, Xinjiang adjusts the output of the adjustable power supply (thermal power in the calculation example) in operation in Xinjiang. , to increase the power supply to Qinghai, Qinghai obtained about 3.6 billion kWh of active power-on complementary power from Xinjiang, and the total receiving and complementary rate of Qinghai’s power shortage was 89.5%, as shown in Figure 5.

5)计算新疆和青海两省的增开机互补率5) Calculate the complementary ratio of additional facilities in Xinjiang and Qinghai provinces

以不影响新疆火电检修为约束，新疆在青海季节性缺电月份增开部分空闲火电机组，新疆火电检修面积如表2所示，青海逐月受入电量互补率如图6所示。即通过新疆主动增开机互补，青海长期购电需求可以获得满足，青海电量缺额的互补率为100％。In order not to affect Xinjiang’s thermal power maintenance, Xinjiang will add some idle thermal power units in Qinghai’s seasonal power shortage months. The thermal power maintenance area in Xinjiang is shown in Table 2. That is to say, through Xinjiang's initiative to increase power supply complementarity, Qinghai's long-term electricity purchase needs can be met, and the complementation rate of Qinghai's electricity shortage is 100%.

表2新疆新增开机后的互补能力和检修面积 万千瓦Table 2 Xinjiang's newly added complementary capacity and maintenance area after startup 10,000 kilowatts

Figure GDA0003594553420000131
Figure GDA0003594553420000131

Figure GDA0003594553420000141
Figure GDA0003594553420000141

6)陕西电网8760h生产模拟，计算陕西对青海短期购电需求和新能源弃电的互补率6) 8760h production simulation of Shaanxi power grid to calculate the complementary ratio of Shaanxi's short-term power purchase demand to Qinghai and new energy curtailment

青海和陕西电网互补运行结果如表3所示,青海短期电力不足的互补率为100％，青海新能源弃电的互补率为44％。也就是说，陕西完全满足了青海的短期购电需求，同时青海新能源弃电也被陕西接纳了44％。The complementary operation results of Qinghai and Shaanxi power grids are shown in Table 3. The complementary ratio of Qinghai's short-term power shortage is 100%, and the complementary ratio of Qinghai's new energy curtailment is 44%. In other words, Shaanxi fully met Qinghai's short-term electricity purchase needs, and Qinghai's new energy abandoned electricity was also accepted by Shaanxi by 44%.

表3陕西-青海逐月互补率Table 3 Shaanxi-Qinghai monthly complementarity ratio

Figure GDA0003594553420000142
Figure GDA0003594553420000142

本发明将省间电网的互补能力问题分为自然互补、定开机互补和增开机互补三个层次的问题。自然互补能力指的是A省和Q省独立运行情况下，若某时段A省有弃电，而Q省存在电力不足，则该时段A省和Q省具有了互补性，由于是A省和Q省各自独立运行情况下的功率交换需求，因此两省的互补能力仅根据自身电源结构确定，两省之间此时具有的互补性称为自然互补性。定开机互补指A省和Q省在自然互补的基础上，增加或降低A省和Q省正在运行的可调整电源出力后，A省和Q省具备的互补能力。增开机互补能力则是在定开机互补能力的基础上，在满足机组检修约束的前提下，逐月判断A省和Q省能增加的火电开机规模，进而调整开机方式增加A省和Q省的互补能力。上面这三个指标从不同层次给出了省间的互补能力，既保证了各省区的运行独立性，又实现了各省区间的互济性，在求解方法上则大大简化，物理意义明确、操作简单。The invention divides the problem of the complementary ability of the inter-provincial power grid into three levels: natural complementation, fixed power supply complementary and additional power supply complementary. Natural complementarity refers to the independent operation of province A and province Q. If province A has power abandonment in a certain period of time, but province Q has insufficient power, then province A and province Q are complementary in that period. The power exchange requirements of the Q province under the condition of independent operation, so the complementary capacity of the two provinces is only determined according to their own power supply structure, and the complementarity between the two provinces at this time is called natural complementarity. Complementary power supply refers to the complementary capabilities of Province A and Province Q after increasing or reducing the adjustable power output that is running in Province A and Province Q on the basis of natural complementarity. To increase the start-up complementary capacity is to determine the thermal power start-up scale of province A and province Q on a monthly basis on the basis of the complementary capability of fixed start-up and on the premise of meeting the maintenance constraints of the unit, and then adjust the start-up method to increase the capacity of province A and province Q. Complementary capabilities. The above three indicators give the complementary capabilities between provinces at different levels, which not only ensures the operational independence of each province, but also realizes the mutual aid of each province. The solution method is greatly simplified, with clear physical meaning and operation. Simple.

本发明进行省区间互补能力计算时，所提方法适合以省为实体的调度模式，既保证各省独立性，又保证各省电力互济性。在求解方法上则大大简化，物理意义明确、操作简单。采用本方法可进行适应我国调度模式的省区间互补运行。When the invention calculates the inter-provincial complementary capacity, the proposed method is suitable for the dispatching mode with the province as the entity, which not only ensures the independence of each province, but also ensures the mutual economical power of each province. The solution method is greatly simplified, the physical meaning is clear, and the operation is simple. This method can be used for inter-provincial complementary operation suitable for my country's dispatching mode.

以上内容是对本发明所作的进一步详细说明，不能认定本发明的具体实施方式仅限于此，对于本发明所属技术领域的普通技术人员来说，在不脱离本发明构思的前提下，还可以做出若干简单的推演或替换，都应当视为属于本发明由所提交的权利要求书确定发明的保护范围。The above content is a further detailed description of the present invention, and it cannot be considered that the specific embodiments of the present invention are limited to this. Several simple deductions or substitutions should be regarded as belonging to the protection scope of the invention determined by the submitted claims.

Claims (2)

1. A method for calculating a multi-energy complementary capability index of an inter-provincial power grid is characterized by comprising the following steps:
1) calculating the annual power grid operation mode under the condition that each province independently operates, and determining the startup mode of each province;
2) calculating natural complementary capacity of provincial regions according to power exchange requirements under the condition that each provincial region independently operates and produces;
3) under the condition that the starting mode of each province is not changed, determining positive and negative regulation capacities and complementary electric quantity under the condition that the starting mode of each province is not changed;
4) Calculating the power-on increasing and complementing capacity of each province on the basis of the power-on deciding and complementing capacity of each province;
when each province operates independently in the step 1), adopting a mixed integer linear optimization model to obtain the production simulation result of each province which takes the lowest comprehensive cost as a target function and contains a plurality of types of power supplies, namely:
Figure FDA0003594553410000011
in the formula: citThe method comprises the steps of obtaining a power generation cost function of a thermal power generating unit i in a t period; pi,tThe active power output of the thermal power generating unit i in the t time period is obtained; qit,upAnd Qit,offStarting and stopping costs of the thermal power generating unit i in the time period t are respectively; u shapeitAnd Ui,t-1The operating states of the thermal power generating unit i in the time periods t and t-1 are respectively set; lambda [ alpha ]1、λ2、λ3、λ4Respectively comprising wind abandoning, light abandoning, water abandoning and punishment factors of efficiency reduction caused by peak load regulation operation of the photo-thermal unit; lambda [ alpha ]5Punishment for losing load; lambda [ alpha ]6Punishment for lost reserve; wbtThe output of the wind power plant b in the time period t;
Figure FDA0003594553410000012
the predicted output of the wind power plant b in the time period t is obtained; sptThe output of the photovoltaic power station p is obtained at the time t;
Figure FDA0003594553410000013
the predicted output of the photovoltaic power station p in the time period t; ehtWater is discarded for the hydroelectric generating set h in the time period t; lz,tAnd hz,tRespectively the load loss amount and the standby loss amount of the node z in the time period t; hvtThe efficiency of the photothermal unit v in the t period is shown; mvt,upAnd Mvt,offThe starting cost and the stopping cost of the photothermal unit v in the t period are respectively consumed;
Figure FDA0003594553410000014
The running states of the photothermal unit v at t and t-1 time periods are respectively;
Figure FDA0003594553410000015
active power output of the photo-thermal unit v in a t period; g is the set of all thermal power generating units; m is the set of all hydroelectric generating sets; d is the set of all photo-thermal units; t is the set of all time periods; b is a set of all wind power and photovoltaic access nodes; k is a set of all load nodes;
the constraint conditions considered by the mixed integer linear optimization model are as follows:
firstly, system balance constraint;
secondly, power station/unit operation constraint;
the photo-thermal power station is constrained;
fourthly, restraining the power of the interzone tie line;
the natural complementarity refers to the complementarity of a power exchange demand curve obtained under the condition that each province independently operates, and the power exchange demand refers to the electricity abandonment or the insufficient electricity of new energy resources of two provinces;
in the step 2), the natural complementary ability between the two provinces is calculated as follows:
under the independent operation condition of the province A and the province Q, the power exchange requirements in the period t are respectively as follows:
Figure FDA0003594553410000021
in the formula:
Figure FDA0003594553410000022
indicating that the electric power needs to be sent out in the time period A;
Figure FDA0003594553410000023
indicating that the province needs to be powered in the t period A;
Figure FDA0003594553410000024
indicating that the Q province needs to send out power in the t period;
Figure FDA0003594553410000025
representing that the Q province is required to receive the electric power in the t period;
because arbitrary t period can not both lack the electricity and abandon the electricity, consequently have the above equation to satisfy:
Figure FDA0003594553410000026
For time t, the power exchange requirements of the A and Q provinces are related as follows:
IAt×IQt＜0 (4)
the power exchange requirements of the provinces A and Q have complementarity, that is, in the period t, the province A needs to send out electric power and the province Q needs to be electrified, or in the period t, the province A needs to be electrified and the province Q needs to send out electric power;
when the above formula is satisfied, the power exchange that can be completed in the t period, the a and Q provinces is:
ZRt＝min{|IAt|,|IQt|} (5)
in the formula, the symbol | represents an absolute value;
then, in the time period T, the mutual power E of the A province and the Q province can be accomplished by natural complementation1Comprises the following steps:
Figure FDA0003594553410000031
in step 3), the calculation of the complementary ability index under the condition of unchanged startup of each province comprises the following steps:
calculating the adjustable output of the adjustable power supply of the province A in any time period:
Figure FDA0003594553410000032
in the formula:
Figure FDA0003594553410000033
the forward adjustable output of the power supply can be adjusted for the time period of A and t,
Figure FDA0003594553410000034
Figure FDA0003594553410000035
the negative adjustable output of the power supply can be adjusted in the time period of A and t,
Figure FDA0003594553410000036
utjthe starting state of the power supply j can be adjusted in a period t, wherein the starting state is 0/1 variable, 0 represents the shutdown, and 1 represents the starting; gtjThe output of the power supply j can be adjusted for the time period t;
Figure FDA0003594553410000037
the upper limit of the output of the adjustable power supply j;
Figure FDA0003594553410000038
the lower limit of the output of the adjustable power supply j; n is an adjustable power supply set of province A;
similarly, the adjustable output of the Q-province adjustable power supply in any t period can be calculated:
Figure FDA0003594553410000039
in the formula:
Figure FDA00035945534100000310
the forward adjustable output of the power supply can be adjusted for the Q-time t-time saving period,
Figure FDA00035945534100000311
Figure FDA00035945534100000312
The negative adjustable output of the power supply can be adjusted in the time period of saving Q and t,
Figure FDA00035945534100000313
utrthe starting state of the power supply r can be adjusted in a period t, the variable is 0/1, 0 represents the shutdown, and 1 represents the startup; gtrThe output of the power supply r can be adjusted for a period t;
Figure FDA00035945534100000314
the upper limit of the output of the adjustable power supply r;
Figure FDA00035945534100000315
the lower limit of the output of the adjustable power supply r; y is a Q-province adjustable power supply set;
calculating the power supplement capability in the time periods of the province A and the province Q:
Figure FDA00035945534100000316
in the formula: xAtThe electric power supplement capability in the period of time t for the province A; xQtA power supplement capability for a period of Q province t;
and thirdly, determining the complementary electric quantity actually completed by the provinces A and Q according to the time-by-time complementary capacity and the direction of the provinces A and Q:
ZDt＝min{|XAt|,|XQt|，|IAt|,|IQt|} (10)
in time period T, the mutual-aid electric quantity E which can be completed by the A province and the Q province2Comprises the following steps:
Figure FDA0003594553410000041
in step 4), the power-on complementary capability index of each province is calculated as follows:
the method includes the following steps that firstly, the maximum starting of the province A all the year around is counted, and the starting capacity which can be still increased by thermal power of the province A in each month is calculated:
Figure FDA0003594553410000042
in the above formula, kyFor the startup capacity of month y, province A, kmaxThe starting capacity of the maximum starting month in 12 months all the year around for province A; m isyThe capacity of the fired power not started in month y of province A;
judging whether the Q-saving has a month with insufficient power, if yes, increasing the capacity d of the A-saving fire generator set in the month y with insufficient power of the Q-savingy，y＝1,2,…12；
Thirdly, calculating whether the overhaul space J after the A power-saving and starting-up meets the requirements:
Figure FDA0003594553410000043
The overhaul area J of the thermal power is generally required to be larger than 1.5, if the overhaul area J does not meet the overhaul area J, the step II is returned, and the capacity d of the additional unit in the y month of province A is revised againy；
Fourthly, counting the scale of the increased-startup thermal power generating unit in each month of the province A, and calculating the complementary capacity of the province A in any time period t after the increased startup:
Figure FDA0003594553410000044
in the formula:
Figure FDA0003594553410000051
increasing the maximum output of the set for the time period of the province A and t;
Figure FDA0003594553410000052
increasing the minimum output of the set for the time period of the province A and t;
determining the complementary ability of the province A to the province Q according to the time-by-time complementary ability and the direction of the provinces A and the province Q.
2. The method for calculating the multipotency complementation capability index of the provincial power grid according to claim 1, wherein the overhaul area refers to a ratio of the sum of the capacities of the units to be overhauled to the installed capacity after thermal power increase and startup in each month of the year.
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