CN110165662B - Power transmission section conservative stability limit determination method based on optimization calculation - Google Patents
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Abstract
本发明公开了一种基于最优化计算的输电断面保守稳定极限确定方法,包括:获取输电断面J的基本参数;获取所述输电断面的预想故障集合M;确定通过调整所述输电断面送受端的发电/负荷功率,并在输电断面内各成员线路j及输电断面送受端的发电/负荷满足预先设定的约束条件,预想故障集合M中的线路m发生预想断路故障导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值;从所述预想故障集合M中依次选择线路i对应的预想发生断路故障的线路,并重复上一步骤,以得到由成员线路i确定的所述输电断面的局部稳定保守极限。该方法能够快速确定电网输电断面的保守极限,速度更快,准确度更高。
The invention discloses a method for determining the conservative stability limit of a power transmission section based on optimization calculation, comprising: obtaining basic parameters of a power transmission section J; obtaining an expected fault set M of the power transmission section; /load power, and the power generation/load of each member line j in the transmission section and the transmitting and receiving ends of the transmission section meet the preset constraints, and the predicted open-circuit fault occurs in the line m in the predicted fault set M, which will cause the transmission power of the member line i to reach the higher level. When the critical value is limited, the minimum increase value of the total power of each member line of the transmission section J; select the line i corresponding to the line i corresponding to the expected open-circuit fault from the expected fault set M in turn, and repeat the previous step to The local stability conservative limit of the transmission section determined by the member line i is obtained. This method can quickly determine the conservative limit of the power grid transmission section, which is faster and more accurate.
Description
技术领域technical field
本发明属电力系统在线安全稳定计算分析领域,具体涉及一种基于最优化计算的输电断面保守稳定极限确定方法。The invention belongs to the field of on-line security and stability calculation and analysis of power systems, in particular to a method for determining the conservative stability limit of a transmission section based on optimal calculation.
背景技术Background technique
电网调控除保证正常运行时的设备和电网安全,还需保障电网发生预想事故情况时的短时电网安全,即电网静态安全。In addition to ensuring the safety of equipment and power grids during normal operation, power grid regulation also needs to ensure the short-term power grid safety in the event of an expected accident in the power grid, that is, the static power grid security.
在电网调控中,电网静态安全除了通过N-1静态安全分析,更重要的是通过电网正常运行时的稳定断面监视来实现。In power grid regulation, in addition to N-1 static safety analysis, grid static safety is more importantly achieved by monitoring the stable section of the power grid during normal operation.
目前,依据调度经验,采用PSASP、BPA等分析软件进行离线分析,并依据极端气象条件以及极端电网运行方式来确定电网断面及断面功率限值。At present, based on the dispatching experience, analysis software such as PSASP and BPA is used for offline analysis, and the power grid section and section power limit are determined according to extreme weather conditions and extreme power grid operation modes.
这种方法存在搜索效率低、搜索时间长、断面功率限值准确度不足等缺陷。This method has defects such as low search efficiency, long search time and insufficient accuracy of section power limit.
发明内容SUMMARY OF THE INVENTION
本发明提供一种基于最优化计算的输电断面保守稳定极限确定方法,以解决目前输电断面功率限值搜索时间长、准确度不足等问题。The invention provides a method for determining the conservative stability limit of a power transmission section based on optimal calculation, so as to solve the problems of long search time and insufficient accuracy of the current power limit value of the power transmission section.
本发明提供一种基于最优化计算的输电断面保守稳定极限确定方法,包括:The invention provides a method for determining the conservative stability limit of a power transmission section based on optimal calculation, comprising:
步骤S10:获取输电断面J的基本参数,所述基本参数包括:所述输电断面J各成员线路j的额定载流量、各成员线路j的基态功率、送受端的发电/负荷信息;Step S10: acquiring basic parameters of the power transmission section J, the basic parameters include: the rated current carrying capacity of each member line j of the power transmission section J, the base state power of each member line j, and the power generation/load information of the sending and receiving ends;
步骤S20:获取所述输电断面的预想故障集合M,所述预想故障集合M包括多条预想发生断路故障的线路;Step S20: obtaining an expected fault set M of the power transmission section, where the expected fault set M includes a plurality of lines that are expected to have open-circuit faults;
步骤S30:确定通过调整所述输电断面送受端的发电/负荷功率,在输电断面内各成员线路j及输电断面送受端的发电/负荷满足预先设定的约束条件,所述预想故障集合M中的线路m发生预想断路故障将导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值,Step S30: Determine that by adjusting the power generation/load power of the sending and receiving ends of the power transmission section, the power generation/load of each member line j in the power transmission section and the sending and receiving ends of the power transmission section meet the preset constraints, and the lines in the expected fault set M The minimum increase in the total sum of the powers of the member lines of the transmission section J when the expected open-circuit fault will cause the transmission power of the member line i to reach the critical value of exceeding the limit,
所述功率总加的最小增加值为所述成员线路i在线路m发生预想断路故障时的稳定保守极限其中,i≠j≠m;The minimum increase value of the total power is the conservative and stable limit of the member line i when the line m is expected to open circuit fault, where i≠j≠m;
步骤S40:从所述预想故障集合M中依次选择线路i对应的预想发生断路故障的线路m,并重复步骤S30,Step S40: Select the line m corresponding to the line i that is expected to have an open-circuit fault in sequence from the expected fault set M, and repeat step S30,
以得到由成员线路i确定的所述输电断面的局部稳定保守极限Li,所述局部稳定保守极限Li为所述成员线路i在发生多个预想断路故障时分别确定的稳定保守极限中的最小值。In order to obtain the local stability conservative limit Li of the power transmission section determined by the member line i, the local stability conservative limit Li is the minimum value among the stability conservative limits determined respectively by the member line i when multiple expected open-circuit faults occur. .
进一步地,所述的方法,在步骤S40之后,还包括:Further, the method, after step S40, further includes:
依次选择所述输电断面中的成员线路,并重复步骤S30至S40,以得到由各成员线路j确定的所述输电断面的全局稳定保守极限L;Selecting member lines in the power transmission section in turn, and repeating steps S30 to S40, to obtain the global stability conservative limit L of the power transmission section determined by each member line j;
所述全局稳定保守极限L为各成员线路j分别确定的局部稳定保守极限中的最小值。The global stability conservative limit L is the minimum value among the local stability conservative limits determined by each member line j respectively.
进一步地,所述的方法,Further, the method,
所述步骤S30中,所述调整所述输电断面送受端的发电/负荷功率,为:In the step S30, the adjustment of the power generation/load power at the sending and receiving ends of the power transmission section is as follows:
根据所述输电断面J各成员线路j的额定载流量、各成员线路j的基态功率,确定各成员线路j的负载率;Determine the load rate of each member line j according to the rated current carrying capacity of each member line j of the power transmission section J and the base state power of each member line j;
调整所述输电断面送受端的发电/负荷功率而改变各成员线路j的传输功率时,优先使负载率较重的成员线路的功率增长;或When the transmission power of each member line j is changed by adjusting the generation/load power of the sending and receiving ends of the transmission section, the power of the member line with a heavier load rate is given priority to increase; or
使负载率较轻的成员线路的传输功率更慢增长。Make the transmission power of member lines with light load rate increase more slowly.
进一步地,所述的方法,所述步骤S30中,所述输电断面内各成员线路j满足预先设定的约束条件,为:Further, in the method, in the step S30, each member line j in the power transmission section satisfies a preset constraint condition, which is:
输电断面内各成员线路j满足以下的热稳定约束:Each member line j in the transmission section satisfies the following thermal stability constraints:
各成员线路j的基态功率及预想故障发生后成员线路j的传输功率均小于其额定载流量:The base state power of each member line j and the transmission power of member line j after the expected fault are less than its rated current carrying capacity:
其中,Pj为成员线路j的基态功率;Among them, P j is the ground state power of member line j;
Pm为成员线路m发生断路故障前的基态功率;P m is the ground-state power before the open-circuit fault occurs on the member line m;
为由线路j的额定载流量与当前的工作电压确定的极限有功功率; is the limit active power determined by the rated current carrying capacity of line j and the current working voltage;
λm-j为成员线路m发生断路故障后,成员线路m向成员线路j转移功率时的分布因子。λ mj is the distribution factor when the member line m transfers power to the member line j after the member line m has an open circuit fault.
进一步地,所述的方法,所述步骤S30中,所述输电断面送受端的发电/负荷满足预先设定的约束条件,为:Further, in the method, in the step S30, the power generation/load at the sending and receiving ends of the power transmission section satisfies a preset constraint condition, which is:
发电的出力功率处于最小允许出力和最大允许出力之间,负荷的接收功率处于其最大允许负荷和最小允许负荷之间;及The output power of the generator is between the minimum allowable output and the maximum allowable output, and the received power of the load is between its maximum allowable load and the minimum allowable load; and
输电断面送受端发电/负荷满足潮流平衡约束。The power generation/load at the sending and receiving ends of the transmission section meets the constraints of power flow balance.
进一步地,所述的方法,Further, the method,
所述步骤S30中,所述确定通过调整所述输电断面送受端的发电/负荷功率,在输电断面内各成员线路j及输电断面送受端的发电/负荷满足预先设定的约束条件,所述预想故障集合M中的线路m发生预想断路故障将导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值,为:In the step S30, it is determined that by adjusting the power generation/load power of the sending and receiving ends of the power transmission section, the power generation/load of each member line j in the power transmission section and the sending and receiving ends of the power transmission section satisfies the preset constraints, and the predicted fault is When the expected open-circuit fault of the line m in the set M will cause the transmission power of the member line i to reach the critical value of exceeding the limit, the minimum increase in the total sum of the power of each member line of the transmission section J is:
在满足约束条件时,以下式为优化目标函数,采用线性规划的优化算法确定输电断面J各成员线路的功率总加的最小增加值:When the constraints are met, the following formula is the optimization objective function, and the linear programming optimization algorithm is used to determine the minimum increase in the total power of each member line of the transmission section J:
其中,为在预想故障m发生且成员线路i的输送功率达到越限临界值时,输电断面内各成员线路j上不包括预想短路故障线路m转移来的功率的传输功率。in, When the predicted fault m occurs and the transmission power of the member line i reaches the threshold value, the transmission power of each member line j in the transmission section does not include the power transferred from the predicted short-circuit fault line m.
进一步地,所述的方法,在线路m发生预想断路故障导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值与所述输电断面送受端的发电/负荷功率的调整方法唯一地对应。Further, in the method, when the expected open-circuit fault occurs in line m, causing the transmission power of member line i to reach a critical value of exceeding the limit, the minimum increase in the total sum of the powers of each member line of said transmission section J is related to said transmission section. The adjustment method of the generation/load power of the sender and receiver is uniquely matched.
进一步地,所述的方法,所述步骤S10中,所述获取输电断面J的基本参数,为:Further, in the method, in the step S10, the basic parameters of the acquired power transmission section J are:
从电网运行在线监测装置中获取;Obtained from the power grid operation online monitoring device;
所述步骤S20中,所述获取所述输电断面的预想故障集合M,为:In the step S20, the acquisition of the expected fault set M of the power transmission section is:
从电网安全校核装置中获取。Obtained from the power grid safety check device.
进一步地,所述的方法,Further, the method,
将所述在线路m发生预想断路故障将导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值对应的所述输电断面送受端的发电/负荷功率的调整方法发送至电网运行在线调控装置。The power generation at the sending and receiving ends of the power transmission section corresponding to the minimum increase in the total power of each member line of the power transmission section J when the expected open-circuit fault on the line m will cause the transmission power of the member line i to reach the threshold value exceeding the limit. / The adjustment method of load power is sent to the online control device for grid operation.
本发明提供了基于最优化计算的输电断面保守稳定极限确定方法。首先确定输电断面保守极限的调整方向,然后生成输电断面保守稳定极限的约束条件,并结合生成的输电断面保守稳定极限最优化计算的优化目标,通过最优化求解,确定输电断面的保守极限。The invention provides a method for determining the conservative stability limit of a power transmission section based on optimal calculation. Firstly, the adjustment direction of the conservative limit of the transmission section is determined, and then the constraint conditions of the conservative stability limit of the transmission section are generated, and the conservative limit of the transmission section is determined through the optimization solution combined with the generated optimization objective of the optimization calculation of the conservative stability limit of the transmission section.
本发明提供的基于最优化计算的输电断面保守稳定极限确定方法能够快速确定电网输电断面的保守极限,速度更快,准确度更高;准确度高的保守极限可以充分保障电网发生预想事故情况时的短时电网安全。The method for determining the conservative stability limit of the power transmission section based on the optimization calculation provided by the invention can quickly determine the conservative limit of the power transmission section of the power grid, with faster speed and higher accuracy; short-term grid security.
附图说明Description of drawings
通过参考下面的附图,可以更为完整地理解本发明的示例性实施方式:Exemplary embodiments of the present invention may be more fully understood by reference to the following drawings:
图1为本发明一个实施例的基于最优化计算的输电断面保守稳定极限确定方法的流程示意图;1 is a schematic flowchart of a method for determining the conservative stability limit of a power transmission section based on optimal calculation according to an embodiment of the present invention;
图2为本发明另一个实施例的基于最优化计算的输电断面保守稳定极限确定方法的流程示意图。FIG. 2 is a schematic flowchart of a method for determining the conservative stability limit of a power transmission section based on optimization calculation according to another embodiment of the present invention.
具体实施方式Detailed ways
现在参考附图介绍本发明的示例性实施方式,然而,本发明可以用许多不同的形式来实施,并且不局限于此处描述的实施例,提供这些实施例是为了详尽地且完全地公开本发明,并且向所属技术领域的技术人员充分传达本发明的范围。对于表示在附图中的示例性实施方式中的术语并不是对本发明的限定。在附图中,相同的单元/元件使用相同的附图标记。Exemplary embodiments of the present invention will now be described with reference to the accompanying drawings, however, the present invention may be embodied in many different forms and is not limited to the embodiments described herein, which are provided for the purpose of this thorough and complete disclosure invention, and fully convey the scope of the invention to those skilled in the art. The terms used in the exemplary embodiments shown in the drawings are not intended to limit the invention. In the drawings, the same elements/elements are given the same reference numerals.
除非另有说明,此处使用的术语(包括科技术语)对所属技术领域的技术人员具有通常的理解含义。另外,可以理解的是,以通常使用的词典限定的术语,应当被理解为与其相关领域的语境具有一致的含义,而不应该被理解为理想化的或过于正式的意义。Unless otherwise defined, terms (including scientific and technical terms) used herein have the commonly understood meanings to those skilled in the art. In addition, it is to be understood that terms defined in commonly used dictionaries should be construed as having meanings consistent with the context in the related art, and should not be construed as idealized or overly formal meanings.
通常,输电断面或稳定断面是根据调度运行经验,将有密切电气联系的一组线路(该组线路与送受端机组或负荷电气连接)组成的线路集合;该线路集合内的所有线路的功率总加即为该稳定断面的断面功率。断面功率限值则是指当断面内有线路发生故障时,保证断面内其他线路在短时安全条件下的断面正常可输送功率。Usually, the transmission section or the stable section is a line collection composed of a group of lines with close electrical connection (the group of lines is electrically connected to the sending and receiving units or loads) according to the experience of dispatching operation; the total power of all lines in the line collection The addition is the section power of the stable section. The section power limit is to ensure that the section of other lines in the section can transmit power normally under short-term safety conditions when a line in the section fails.
由于输电断面内各个成员线路的负载率(定义为各成员线路的输送的有功功率与极限有功功率的比值)不同,在通过调整输电断面送受端的发电和负荷而使得输电断面内的功率增长时,输电断面各个成员线路的功率增长的比例可能不同,从而在不同的功率增长方式下,输电断面的稳定极限可能会不同。Since the load rate of each member line in the transmission section (defined as the ratio of the active power transmitted by each member line to the limit active power) is different, when the power in the transmission section increases by adjusting the power generation and load at the sending and receiving ends of the transmission section, The power increase ratio of each member line of the transmission section may be different, so the stability limit of the transmission section may be different under different power increase modes.
而在电网调度运行时,优先需要保证的是电网安全,为此需要计算较保守的输电断面稳定极限,也就是不同功率增长方式中最保守的断面功率限值。When the power grid is dispatched and operated, the priority is to ensure the security of the power grid. For this reason, it is necessary to calculate the more conservative transmission section stability limit, that is, the most conservative section power limit in different power growth modes.
如图1所示,本发明一个实施例的基于最优化计算的输电断面保守稳定极限确定方法,包括以下步骤:As shown in FIG. 1 , a method for determining the conservative stability limit of a power transmission section based on optimization calculation according to an embodiment of the present invention includes the following steps:
步骤S10:获取输电断面J的基本参数,所述基本参数包括:所述输电断面J各成员线路j的额定载流量、各成员线路j的基态功率、送受端的发电/负荷信息;Step S10: acquiring basic parameters of the power transmission section J, the basic parameters include: the rated current carrying capacity of each member line j of the power transmission section J, the base state power of each member line j, and the power generation/load information of the sending and receiving ends;
步骤S20:获取所述输电断面的预想故障集合M,所述预想故障集合M包括多条预想发生断路故障的线路;Step S20: obtaining an expected fault set M of the power transmission section, where the expected fault set M includes a plurality of lines that are expected to have open-circuit faults;
步骤S30:确定通过调整所述输电断面送受端的发电/负荷功率,在输电断面内各成员线路j及输电断面送受端的发电/负荷满足预先设定的约束条件,所述预想故障集合M中的线路m发生预想断路故障将导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值,Step S30: Determine that by adjusting the power generation/load power of the sending and receiving ends of the power transmission section, the power generation/load of each member line j in the power transmission section and the sending and receiving ends of the power transmission section meet the preset constraints, and the lines in the expected fault set M The minimum increase in the total sum of the powers of the member lines of the transmission section J when the expected open-circuit fault will cause the transmission power of the member line i to reach the critical value of exceeding the limit,
所述功率总加的最小增加值为所述成员线路i在线路m发生预想断路故障时的稳定保守极限,其中,i≠j≠m;The minimum increase value of the total power is the stable and conservative limit of the member line i when the expected open circuit fault occurs on the line m, where i≠j≠m;
步骤S40:从所述预想故障集合M中依次选择线路i对应的预想发生断路故障的线路m,并重复步骤S30,Step S40: Select the line m corresponding to the line i that is expected to have an open-circuit fault in sequence from the expected fault set M, and repeat step S30,
以得到由成员线路i确定的所述输电断面的局部稳定保守极限Li,所述局部稳定保守极限Li为所述成员线路i在发生多个预想断路故障时分别确定的稳定保守极限中的最小值。In order to obtain the local stability conservative limit Li of the power transmission section determined by the member line i, the local stability conservative limit Li is the minimum value among the stability conservative limits determined respectively by the member line i when multiple expected open-circuit faults occur. .
应该理解为,这里的越限临界值即为该成员线路的极限有功功率(单位为MW),由该线路的额定载流量(单位为kA)和线路所在的电压等级决定。It should be understood that the over-limit critical value here is the limit active power (in MW) of the member line, which is determined by the rated current carrying capacity (in kA) of the line and the voltage level of the line.
至此,各成员线路各预想故障的稳定极限最低的即为关键的成员线路和关键的预想故障。So far, the lowest stability limit of each expected fault of each member line is the key member line and the key expected fault.
应该理解为,各成员线路j的基态功率用于确定负载率。It should be understood that the base state power of each member line j is used to determine the load factor.
以上说明了依次确定单一线路的多个故障分别对应的所述输电断面J各成员线路的功率总加的最小增加值,从而得到所述局部稳定保守极限Li的方法。The above describes the method of sequentially determining the minimum increase in the total power of each member line of the transmission section J corresponding to multiple faults of a single line, thereby obtaining the local stability conservative limit Li.
应该理解为,还可以从依次确定单个线路的多个故障分别对应的所述输电断面J各成员线路的功率总加的最小增加值,调整为依次确定单个预想故障线路的多个关联线路分别对应的所述输电断面J各成员线路的功率总加的最小增加值。It should be understood that it is also possible to sequentially determine the minimum increase in the total power of each member line of the transmission section J corresponding to the multiple faults of a single line, and adjust it to sequentially determine the multiple associated lines of the single predicted fault line respectively corresponding to the line. The minimum increase value of the total sum of the power of each member line of the transmission section J.
以上只是改变了遍历过程中的循环变量,并不改变循环的次数;两者具有相同的技术复杂度和相同的技术效果。The above only changes the loop variables in the traversal process, but does not change the number of loops; both have the same technical complexity and the same technical effect.
进一步地,所述的方法,在步骤S40之后,还包括:Further, the method, after step S40, further includes:
依次选择所述输电断面中的成员线路,并重复步骤S30至S40,以得到由各成员线路j确定的所述输电断面的全局稳定保守极限L;Selecting member lines in the power transmission section in turn, and repeating steps S30 to S40, to obtain the global stability conservative limit L of the power transmission section determined by each member line j;
所述全局稳定保守极限L为各成员线路j分别确定的局部稳定保守极限中的最小值。The global stability conservative limit L is the minimum value among the local stability conservative limits determined by each member line j respectively.
进一步地,所述的方法,Further, the method,
所述步骤S30中,所述调整所述输电断面送受端的发电/负荷功率,为:In the step S30, the adjustment of the power generation/load power at the sending and receiving ends of the power transmission section is as follows:
根据所述输电断面J各成员线路j的额定载流量、各成员线路j的基态功率,确定各成员线路j的负载率;Determine the load rate of each member line j according to the rated current carrying capacity of each member line j of the power transmission section J and the base state power of each member line j;
调整所述输电断面送受端的发电/负荷功率而改变各成员线路j的传输功率时,优先使负载率较重的成员线路的功率增长;或When the transmission power of each member line j is changed by adjusting the generation/load power of the sending and receiving ends of the transmission section, the power of the member line with a heavier load rate is given priority to increase; or
使负载率较轻的成员线路的传输功率更慢增长。Make the transmission power of member lines with light load rate increase more slowly.
采用以上的输电断面内线路间功率分配策略,可以实现在输电断面功率增长的时候,各成员线路在基态和预想故障后容易发生越限,从而保证输电断面的稳定极限较小,有利于最优化过程快速收敛,提高搜索的速度。Using the above power distribution strategy between lines within a transmission section, it can be realized that when the power of the transmission section increases, each member line is prone to exceed the limit in the base state and after the expected failure, thereby ensuring that the stability limit of the transmission section is small, which is conducive to optimization. The process converges quickly, increasing the speed of the search.
进一步地,所述的方法,所述步骤S30中,所述输电断面内各成员线路j满足预先设定的约束条件,为:Further, in the method, in the step S30, each member line j in the power transmission section satisfies a preset constraint condition, which is:
输电断面内各成员线路j满足以下的热稳定约束:Each member line j in the transmission section satisfies the following thermal stability constraints:
各成员线路j的基态功率及预想故障发生后成员线路j的传输功率均小于其额定载流量:The base state power of each member line j and the transmission power of member line j after the expected fault are less than its rated current carrying capacity:
其中,Pj为成员线路j的基态功率;Among them, P j is the ground state power of member line j;
Pm为成员线路m发生断路故障前的基态功率;P m is the ground-state power before the open-circuit fault occurs on the member line m;
为由线路j的额定载流量与当前的工作电压确定的极限有功功率; is the limit active power determined by the rated current carrying capacity of line j and the current working voltage;
λm-j为成员线路m发生断路故障后,成员线路m向成员线路j转移功率时的分布因子。进一步地,所述的方法,所述步骤S30中,所述输电断面送受端的发电/负荷满足预先设定的约束条件,为:λ mj is the distribution factor when the member line m transfers power to the member line j after the member line m has an open circuit fault. Further, in the method, in the step S30, the power generation/load at the sending and receiving ends of the power transmission section satisfies a preset constraint condition, which is:
发电的出力功率处于最小允许出力和最大允许出力之间,负荷的接收功率处于其最大允许负荷和最小允许负荷之间;及The output power of the generator is between the minimum allowable output and the maximum allowable output, and the received power of the load is between its maximum allowable load and the minimum allowable load; and
输电断面送受端发电/负荷满足潮流平衡约束。The power generation/load at the sending and receiving ends of the transmission section meets the constraints of power flow balance.
进一步地,所述的方法,Further, the method,
所述步骤S30中,所述确定通过调整所述输电断面送受端的发电/负荷功率,在输电断面内各成员线路j及输电断面送受端的发电/负荷满足预先设定的约束条件,所述预想故障集合M中的线路m发生预想断路故障将导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值,为:In the step S30, it is determined that by adjusting the power generation/load power of the sending and receiving ends of the power transmission section, the power generation/load of each member line j in the power transmission section and the sending and receiving ends of the power transmission section satisfies the preset constraints, and the predicted fault is When the expected open-circuit fault of the line m in the set M will cause the transmission power of the member line i to reach the critical value of exceeding the limit, the minimum increase in the total sum of the power of each member line of the transmission section J is:
在满足约束条件时,以下式为优化目标函数,采用线性规划的优化算法确定输电断面J各成员线路的功率总加的最小增加值:When the constraints are met, the following formula is the optimization objective function, and the linear programming optimization algorithm is used to determine the minimum increase in the total power of each member line of the transmission section J:
其中,为在预想故障m发生且成员线路i的输送功率达到越限临界值时,输电断面内各成员线路j上不包括预想短路故障线路m转移来的功率的传输功率。in, When the predicted fault m occurs and the transmission power of the member line i reaches the threshold value, the transmission power of each member line j in the transmission section does not include the power transferred from the predicted short-circuit fault line m.
针对以上多变量、多约束的优化问题,采用线性规划可以保证得到全局最优值,并且保证搜索的效率。For the above multi-variable and multi-constrained optimization problems, the use of linear programming can ensure that the global optimal value can be obtained, and the search efficiency can be guaranteed.
进一步地,所述的方法,在线路m发生预想断路故障导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值与所述输电断面送受端的发电/负荷功率的调整方法唯一地对应。Further, in the method, when the expected open-circuit fault occurs in line m, causing the transmission power of member line i to reach a critical value of exceeding the limit, the minimum increase in the total sum of the powers of each member line of said transmission section J is related to said transmission section. The adjustment method of the generation/load power of the sender and receiver is uniquely matched.
进一步地,所述的方法,所述步骤S10中,所述获取输电断面J的基本参数,为:Further, in the method, in the step S10, the basic parameters of the acquired power transmission section J are:
从电网运行在线监测装置中获取;Obtained from the power grid operation online monitoring device;
所述步骤S20中,所述获取所述输电断面的预想故障集合M,为:In the step S20, the acquisition of the expected fault set M of the power transmission section is:
从电网安全校核装置中获取。Obtained from the power grid safety check device.
进一步地,所述的方法,Further, the method,
将所述在线路m发生预想断路故障将导致成员线路i的输送功率达到越限临界值时,所述输电断面J各成员线路的功率总加的最小增加值对应的所述输电断面送受端的发电/负荷功率的调整方法发送至电网运行在线调控装置。The power generation at the sending and receiving ends of the power transmission section corresponding to the minimum increase in the total power of each member line of the power transmission section J when the expected open-circuit fault on the line m will cause the transmission power of the member line i to reach the threshold value exceeding the limit. / The adjustment method of load power is sent to the online control device for grid operation.
电网运行在线调控装置在接收到所述输电断面送受端的发电/负荷功率的调整方法后,根据该输电断面的保守稳定极限下,送、受端发电负荷功率的调整量,进行电网调度及运行,有利于提高电网的稳定性。After receiving the adjustment method of the power generation/load power at the sending and receiving ends of the power transmission section, the power grid operation online control device performs grid scheduling and operation according to the adjustment amount of the power generation load power of the sending and receiving ends under the conservative and stable limit of the power transmission section, It is beneficial to improve the stability of the power grid.
应该理解为,这里的电网运行在线监测装置、电网安全校核装置、电网运行在线调控装置均采用为本领域技术人员所公知的技术方案,如实时测量输电断面的基本参数,如确定输电断面及输电断面的预想故障集合,及对电网内输电断面送受端的发电/负荷功率进行调整等。It should be understood that the power grid operation online monitoring device, power grid safety check device, and power grid operation online control device here all adopt technical solutions known to those skilled in the art, such as real-time measurement of the basic parameters of the power transmission section, such as determining the power transmission section and The expected fault collection of the transmission section, and the adjustment of the power generation/load power at the sending and receiving ends of the transmission section in the power grid, etc.
综上,该基于最优化计算的输电断面保守稳定极限确定方法,首先确定输电断面保守极限的调整方向,然后提出输电断面保守极限的约束条件,再确定输电断面保守极限最优化计算的优化目标,最后通过最优化求解求取输电断面的保守极限。To sum up, the method for determining the conservative stability limit of transmission section based on the optimization calculation first determines the adjustment direction of the conservative limit of the transmission section, then puts forward the constraints of the conservative limit of the transmission section, and then determines the optimization objective of the optimal calculation of the conservative limit of the transmission section. Finally, the conservative limit of the transmission section is obtained through the optimization solution.
该方法能够快速确定电网输电断面的保守极限,速度更快,准确度更高;该保守极限用于保障电网发生预想事故情况时的短时电网安全,为制定电网调度措施提供决策支持,为电力市场的运行提供可靠的技术支撑。This method can quickly determine the conservative limit of the power grid transmission section, with faster speed and higher accuracy; the conservative limit is used to ensure the short-term power grid safety in the event of an expected accident in the power grid, provide decision support for the formulation of power grid dispatching measures, and provide power The operation of the market provides reliable technical support.
如图2所示,另一个实施例的基于最优化计算的输电断面保守极限快速确定方法,包括以下步骤:As shown in FIG. 2 , the method for quickly determining the conservative limit of a power transmission section based on optimization calculation according to another embodiment includes the following steps:
1)确定输电断面保守极限的调整方向;1) Determine the adjustment direction of the conservative limit of the transmission section;
2)针对输电断面内的各成员线路,针对各预想故障,逐个计算当某成员线路在某预想故障下达到限值的稳定极限,作为以该成员线路该预想故障为参考的输电断面保守极限;2) For each member line in the transmission section, for each expected fault, calculate one by one the stable limit when a member line reaches the limit under a certain expected fault, as the conservative limit of the transmission section with the expected fault of the member line as a reference;
3)确定以某成员线路某预想故障为参考的输电断面保守极限的约束条件;3) Determine the constraints of the conservative limit of the transmission section with an expected fault of a member line as a reference;
4)确定以某成员线路某预想故障为参考的输电断面保守极限最优化计算的优化目标;4) Determine the optimization objective of the optimal calculation of the conservative limit of the transmission section with an expected fault of a member line as a reference;
5)求取以某成员线路某预想故障为参考的输电断面保守极限;5) Obtain the conservative limit of the transmission section with an expected fault of a member line as a reference;
6)综合确定针对整个输电断面的保守极限。6) Comprehensively determine conservative limits for the entire transmission section.
需要说明的是,最优化是针对某成员线路某预想故障的,针对每一个成员线路的每一个预想故障,判断其他成员线路是否越限,都需要进行一次最优化求解;因此,对于由N个成员线路构成的断面,需要进行N*(N-1)次优化求解。It should be noted that the optimization is for an expected fault of a member line. For each expected fault of each member line, to determine whether other member lines exceed the limit, an optimization solution needs to be carried out; therefore, for N The section formed by the member lines needs to be optimized for N*(N-1) times.
选择机组出力和负载的组合调整方式,使得该预想故障时该成员线路上的功率为临界值,而输电断面上的其他非故障线路均没有越限,这时,输电断面上各成员线路的传输功率总加即为与该线路该预想故障对应的保守极限值。The combined adjustment method of unit output and load is selected, so that the power on the member line is the critical value when the expected fault occurs, and other non-faulty lines on the transmission section do not exceed the limit. At this time, the transmission of each member line on the transmission section is The total power is the conservative limit value corresponding to the expected fault of the line.
优选地,整个输电断面的保守极限取以上各线路保守极限中的最小值。应该理解为,也可以选择中值等其他统计意义上的特征数。Preferably, the conservative limit of the entire power transmission section takes the minimum value among the conservative limits of the above lines. It should be understood that other statistical characteristics such as median can also be selected.
通常,电网中的任一个输电断面J均由多个成员线路组成;在制定电网调度措施时,需要保证输电断面J的所有成员线路在基态和发生预想故障后均不发生越限,也即短时电网安全,即电网静态安全。Usually, any transmission section J in the power grid is composed of multiple member lines; when formulating grid dispatching measures, it is necessary to ensure that all member lines of the transmission section J do not exceed the limit in the base state and after the expected fault occurs, that is, short Time grid security, that is, grid static security.
输电断面J的预想故障集M通常包含输电断面上所有成员线路上可能发生的预想故障和其他相关故障。The expected fault set M of the transmission section J usually contains the expected faults and other related faults that may occur on all member lines on the transmission section.
应该理解为,预想故障集M内针对各成员线路的各预想故障模式均为独立故障,各预想故障模式相互独立;预想故障集M不包括关联故障。It should be understood that each expected fault mode for each member line in the expected fault set M is an independent fault, and each expected fault mode is independent of each other; the expected fault set M does not include associated faults.
由于输电断面各成员线路的负载率不同,在通过调整输电断面送受端的发电机组的出力功率和/或负荷的接收功率使得输电断面上可输送功率增长时,输电断面各个成员线路功率增长的比例可能不同,因此,不同的功率增长方式下,输电断面的稳定极限会不同。Due to the different load rates of each member line of the transmission section, when the output power of the generator sets at the sending and receiving ends of the transmission section and/or the received power of the load are adjusted to increase the transmittable power on the transmission section, the proportion of the power increase of each member line of the transmission section may increase. Therefore, under different power growth modes, the stability limit of the transmission section will be different.
因此,所述步骤1)的确定输电断面保守稳定极限的调整方向,包括:Therefore, the adjustment direction of determining the conservative stability limit of the transmission section in the step 1) includes:
输电断面的保守稳定极限应采用的调整方式是:尽量使负载率较重的输电断面的成员线路的功率优先增长,尽量使负载率较轻的输电断面成员线路功率缓慢增长。The conservative and stable limit of the transmission section should be adjusted as follows: try to make the power of the member lines of the transmission section with heavier load rate increase preferentially, and try to make the power of the member lines of the transmission section with light load rate increase slowly.
这样在输电断面功率增长的时候,输电断面成员线路在基态和预想故障后容易发生越限,确定的输电断面稳定极限较小,符合电网的保守原则。In this way, when the power of the transmission section increases, the member lines of the transmission section are prone to exceed the limit in the base state and after the expected failure, and the determined stability limit of the transmission section is small, which conforms to the conservative principle of the power grid.
其中,所述步骤2)针对输电断面各成员线路,针对各预想故障,逐个计算当某成员线路在某预想故障下该成员线路的负载达到限值时的稳定极限,作为以该线路该预想故障为参考的输电断面保守稳定极限,具体为:Wherein, in the step 2), for each member line of the power transmission section, for each expected fault, calculate one by one the stability limit when the load of a member line reaches the limit value under a certain expected fault, as the expected fault of the line. is the conservative stability limit of the reference transmission section, specifically:
针对输电断面J的每一个成员线路i,计算当线路i在其每一个预想故障m后达到限值时的输电断面极限Xim。For each member line i of transmission section J, calculate the transmission section limit X im when line i reaches the limit after each of its expected faults m.
也即,逐一对该成员线路i的每一个预想故障,确定出一个保守稳定极限。That is, a conservative stability limit is determined for each expected fault of the member line i one by one.
其中,所述步骤3)确定以某成员线路某预想故障为参考的输电断面保守稳定极限的约束条件,具体为:Wherein, the step 3) determines the constraint condition of the conservative stability limit of the transmission section with a certain expected fault of a certain member line as a reference, specifically:
以成员线路i预想故障m为参考的输电断面保守稳定极限的约束条件,包括输电断面成员线路i的热稳定约束、输电断面送受端发电及负荷调整的约束、发电及负荷调整的潮流平衡约束。The constraints of the conservative stability limit of the transmission section with the predicted fault m of the member line i as the reference, including the thermal stability constraints of the member line i of the transmission section, the constraints of power generation and load adjustment at the sending and receiving ends of the transmission section, and the power flow balance constraints of power generation and load adjustment.
1)输电断面J的成员线路i的热稳定约束1) Thermal stability constraints of member line i of transmission section J
定义为输电断面所有成员线路的初始功率(也即基态时的功率)及预想故障后功率均满足该线路的额定载流量约束,也即各线路在其他线路发生预想故障后的潮流越限。It is defined as the initial power of all member lines of the transmission section (that is, the power in the base state) and the power after the expected fault meet the rated current carrying capacity constraints of the line, that is, the power flow of each line exceeds the limit after the expected fault occurs on other lines.
以下给出是任一成员线路i在预想故障m时的热稳定约束:Given below are the thermal stability constraints for any member line i when a fault m is expected:
上式中,Pi为线路i的初始功率;In the above formula, Pi is the initial power of line i ;
Pi+Pmλm-i为预想故障m(如,m线路发生断路故障)发生后线路i的输送功率;P i +P m λ mi is the transmission power of line i after the expected fault m (such as an open-circuit fault of line m) occurs;
Pi max为线路i的极限有功功率;P i max is the limit active power of line i;
λm-i为预想故障m发生后(如,线路m断路)线路m的功率转移到线路i的分布因子,其值根据电网拓扑和线路的电气基本参数预先确定,且在电网调整过程中保持固定不变。 λmi is the distribution factor of the power transfer from line m to line i after the expected fault m occurs (for example, line m is open circuit), its value is predetermined according to the grid topology and the basic electrical parameters of the line, and is kept fixed during the grid adjustment process. Change.
在确定输电断面保守稳定极限时,输电断面中的全部成员线路j(包括预想故障线路,也包括当前考察的线路i)也需要在预想故障m时满足相似的热稳定约束。When determining the conservative stability limit of the transmission section, all member lines j in the transmission section (including the predicted fault line and the currently investigated line i) also need to satisfy similar thermal stability constraints when the predicted fault m is present.
2)调整设备的功率约束,也即输电断面送受端发电及负荷调整的约束2) Adjust the power constraints of the equipment, that is, the constraints of power generation and load adjustment at the sending and receiving ends of the transmission section
输电断面送受端发电机组、负荷的功率调整约束,具体为,发电机组的出力应在其最小允许出力和最大允许出力之间,负荷的接收功率应在其负荷的允许范围之间。The power adjustment of the generator set and load at the sending and receiving end of the transmission section is constrained. Specifically, the output of the generator set should be between the minimum allowable output and the maximum allowable output, and the received power of the load should be within the allowable range of the load.
鉴于一个输电断面送受端发电机组、负荷的数量和位置是固定不变的,针对该输电断面内任一个成员线路与预想故障的组合,该调整设备的功率约束是相同的。Given that the number and location of generators and loads at the sending and receiving ends of a transmission section are fixed, the power constraints of the adjustment equipment are the same for any combination of member lines and expected faults in the transmission section.
3)潮流平衡约束,也即发电负荷调整的潮流平衡约束3) The power flow balance constraint, that is, the power flow balance constraint of power generation load adjustment
调整输电断面送受端发电机组、负荷功率时,应满足潮流平衡约束,也即发电增加功率与负荷接收功率要匹配。When adjusting the power of the generator set and the load at the sending and receiving ends of the transmission section, the power flow balance constraint should be satisfied, that is, the increased power of the power generation and the received power of the load should be matched.
其中,所述步骤4)确定以某成员线路某预想故障为参考的输电断面保守稳定极限最优化计算的优化目标,包括:Wherein, the step 4) determines the optimization objective of the conservative stability limit optimization calculation of the transmission section with a certain expected fault of a certain member line as a reference, including:
以成员线路i预想故障m为参考的输电断面保守稳定极限最优化计算的优化目标,为成员线路i在预想故障m时其载流量达到限值时,故障前输电断面全部的成员线路在预想故障m发生前的功率总加最小为优化目标。The optimization objective of the optimization calculation of the conservative stability limit of the transmission section with the predicted fault m of the member line i as the reference is that when the current carrying capacity of the member line i reaches the limit value when the predicted fault m is, all the member lines of the transmission section before the fault are in the predicted fault. The minimization of the total sum of power before the occurrence of m is the optimization goal.
其中,为在预想故障m发生且成员线路i的输送功率达到越限临界值时,输电断面内各成员线路j上不包括预想短路故障线路m转移来的功率的传输功率。in, When the predicted fault m occurs and the transmission power of the member line i reaches the threshold value, the transmission power of each member line j in the transmission section does not include the power transferred from the predicted short-circuit fault line m.
也即,是预想故障m发生前输电断面全部的成员线路的功率总加。That is, it is the total sum of the powers of all the member lines of the transmission section before the predicted fault m occurs.
这时,满足“预想故障m发生将导致线路i越限,且其他线路不越限”这一约束。At this time, the constraint of "it is expected that the occurrence of fault m will cause line i to exceed the limit, and other lines will not exceed the limit" is satisfied.
也即,在当前确定的功率增长方法时(对应有相应的输电断面送受端发电机组、负荷功率调整方式;这种调整方式在各成员线路之间再分配有功功率,从而使得各成员线路具有对应的再分配功率;且这种调整方式使得断面的功率总加增长),且预想故障m发生,则将导致线路i上接收到由预想短路故障线路m转移来的有功功率;这时,成员线路i在当前的再分配功率及由预想短路故障线路m转移来的有功功率的共同作用下,达到越限临界值;而这时,其他成员线路在各自当前的再分配功率及由预想短路故障线路m转移来的有功功率的共同作用下,不发生越限(也即,满足热平衡定理)。That is, in the currently determined power increase method (corresponding to the corresponding transmission section sending and receiving end generator sets, load power adjustment method; this adjustment method redistributes active power among each member line, so that each member line has a corresponding and this adjustment method makes the total power of the section increase), and the expected fault m occurs, it will cause the line i to receive the active power transferred from the expected short-circuit fault line m; at this time, the member line i Under the combined action of the current redistributed power and the active power transferred from the predicted short-circuit fault line m, the threshold value of over-limit is reached; at this time, the other member lines are under their respective current redistributed power and from the predicted short-circuit fault line. Under the combined action of the active power transferred from m, no overrun occurs (that is, the thermal equilibrium theorem is satisfied).
其中,所述步骤5)求取以某成员线路某预想故障为参考的输电断面保守稳定极限,包括:Wherein, the step 5) obtains the conservative stability limit of the transmission section with a certain expected fault of a certain member line as a reference, including:
求取以成员线路i预想故障m为参考的输电断面保守稳定极限,通过最优化计算,求得最优解,结果包括:Obtain the conservative stability limit of the transmission section with the predicted fault m of the member line i as the reference, and obtain the optimal solution through the optimization calculation. The results include:
1)输电断面送受端发电负荷功率的调整量,以供电网调度运行人员参考,并作为电网调度运行和电力市场运行的参考。1) The adjustment amount of the power generation load at the sending and receiving ends of the transmission section is used as a reference for the dispatching and operation personnel of the power supply grid, and as a reference for the dispatching operation of the power grid and the operation of the power market.
2)对应于该输电断面送受端发电负荷功率的调整量,输电断面全部成员线路的功率总加,即为该输电断面的保守稳定极限。2) Corresponding to the adjustment amount of the power generation load at the sending and receiving ends of the transmission section, the sum of the powers of all member lines of the transmission section is the conservative stability limit of the transmission section.
其中,所述步骤6)综合确定输电断面保守稳定极限,包括:Wherein, the step 6) comprehensively determines the conservative stability limit of the transmission section, including:
取输电断面以各个成员线路各个预想故障为参考的保守稳定极限的最小值,作为输电断面的保守稳定极限。The minimum value of the conservative stability limit of the transmission section with each expected fault of each member line as a reference is taken as the conservative stability limit of the transmission section.
至此,已经找出了输电断面上最恶劣情况下的稳定极限。根据该调整方式和该稳定极限,指导电网运行,可以提高电网运行的安全水平。So far, the worst-case stability limit on the transmission section has been found. According to the adjustment method and the stability limit, the grid operation can be guided, and the security level of the grid operation can be improved.
以华北-华中电网某日负荷高峰时段的运行数据为例进行分析,以渝颚断面为例计算基于最优化计算的输电断面保守稳定极限。如表1所示,渝颚断面由4条线路组成。在计算渝颚断面的保守稳定极限时,需要考虑的预想故障集如表2所示。利用该实施例的基于最优化计算的输电断面保守稳定极限快速确定方法,以不同成员线路和不同预想故障为参考的输电断面稳定极限如表3所示。Taking the operation data of the North China-Central China power grid during a certain day's peak load period as an example, the conservative stability limit of the transmission section based on the optimization calculation is calculated by taking the Yuja section as an example. As shown in Table 1, the Chongqing jaw section consists of 4 lines. When calculating the conservative stability limit of the Yu jaw section, the expected fault set to be considered is shown in Table 2. Using the method for quickly determining the conservative stability limit of transmission section based on optimization calculation in this embodiment, the stability limit of transmission section with different member lines and different expected faults as reference is shown in Table 3.
表1渝颚断面组成表Table 1. The composition table of the jaw section
表2渝颚断面故障集Table 2 Fault set of Yu jaw section
表3不同参考下的渝颚断面稳定极限Table 3 Stability limit of Yu jaw section under different references
鉴于A线路故障时,只需要判断其他线路越限时的临界值;因此,根据表1和表2,可以确定表3中的12个成员线路和预想故障组合后的稳定极限。In view of the failure of line A, it is only necessary to judge the critical value when other lines exceed the limit; therefore, according to Table 1 and Table 2, the stability limit of the combination of the 12 member lines in Table 3 and the expected fault can be determined.
各线路及预想故障组合中的最小值为2453MW,即渝颚断面的保守稳定极限为2453MW。根据该保守稳定极限制定电网调度措施,则该输电断面中,华中.盘龙I线在华中.盘龙II线故障时会越限。The minimum value of each line and the expected fault combination is 2453MW, that is, the conservative stability limit of the Yu jaw section is 2453MW. According to the conservative stability limit, the power grid dispatching measures are formulated. In the transmission section, the Huazhong. Panlong I line will exceed the limit when the Huazhong. Panlong II line fails.
以上已经通过参考少量实施方式描述了本发明。然而,本领域技术人员所公知的,正如附带的专利权利要求所限定的,除了本发明以上公开的其他的实施例等同地落在本发明的范围内。The present invention has been described above with reference to a few embodiments. However, as is known to those skilled in the art, other embodiments than the above disclosed invention are equally within the scope of the invention, as defined by the appended patent claims.
通常地,在权利要求中使用的所有术语都根据他们在技术领域的通常含义被解释,除非在其中被另外明确地定义。所有的参考“一个/所述/该[装置、组件等]”都被开放地解释为所述装置、组件等中的至少一个实例,除非另外明确地说明。这里公开的任何方法的步骤都没必要以公开的准确的顺序运行,除非明确地说明。Generally, all terms used in the claims are to be interpreted according to their ordinary meaning in the technical field, unless explicitly defined otherwise herein. All references to "a/the/the [means, component, etc.]" are open to interpretation as at least one instance of said means, component, etc., unless expressly stated otherwise. The steps of any method disclosed herein do not have to be performed in the exact order disclosed, unless explicitly stated.
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