CN118572770A - Method, device and apparatus for evaluating transient power angle stability of power system - Google Patents

Method, device and apparatus for evaluating transient power angle stability of power system Download PDF

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CN118572770A
CN118572770A CN202410662128.8A CN202410662128A CN118572770A CN 118572770 A CN118572770 A CN 118572770A CN 202410662128 A CN202410662128 A CN 202410662128A CN 118572770 A CN118572770 A CN 118572770A
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power
equivalent circuit
current
working condition
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林涛
陈文哲
李晨
刘兵
李君�
周晓刚
林政阳
汪辰
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Wuhan University WHU
Central China Grid Co Ltd
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Central China Grid Co Ltd
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/381Dispersed generators
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F18/00Pattern recognition
    • G06F18/20Analysing
    • G06F18/24Classification techniques
    • G06F18/241Classification techniques relating to the classification model, e.g. parametric or non-parametric approaches
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/48Controlling the sharing of the in-phase component
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/38Arrangements for parallely feeding a single network by two or more generators, converters or transformers
    • H02J3/46Controlling of the sharing of output between the generators, converters, or transformers
    • H02J3/50Controlling the sharing of the out-of-phase component
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2300/00Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/20The dispersed energy generation being of renewable origin
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2300/00Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation
    • H02J2300/40Systems for supplying or distributing electric power characterised by decentralized, dispersed, or local generation wherein a plurality of decentralised, dispersed or local energy generation technologies are operated simultaneously

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Data Mining & Analysis (AREA)
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  • Life Sciences & Earth Sciences (AREA)
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Abstract

本公开提供一种用于评估电力系统暂态功角稳定性的方法、装置以及设备,其中,方法包括:基于待评估电力系统以及与待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;基于初始综合系统的等效电路,利用抽蓄机组的预设类型和当前工况,确定对应当前工况的当前综合系统的等效电路;响应于在当前工况下当前综合系统出现故障,分别获取当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;响应于在基于第一状态参数的参数值、第二状态参数的参数值以及当前综合系统的等效电路,确定待评估电力系统暂态功角稳定的情况下,计算待评估电力系统的稳定裕度。利用本公开的方法进行评估简单有效。

The present disclosure provides a method, device and equipment for evaluating the transient power angle stability of an electric power system, wherein the method comprises: establishing an equivalent circuit of an initial integrated system based on the electric power system to be evaluated and a pumped storage unit of a preset type connected to the electric power system to be evaluated; determining an equivalent circuit of a current integrated system corresponding to the current working condition based on the equivalent circuit of the initial integrated system and using the preset type and current working condition of the pumped storage unit; in response to a fault in the current integrated system under the current working condition, respectively obtaining parameter values of a first state parameter of the current integrated system before the fault and parameter values of a second state parameter at different stages of fault handling; in response to determining that the transient power angle of the electric power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, calculating the stability margin of the electric power system to be evaluated. Evaluation using the method disclosed in the present disclosure is simple and effective.

Description

用于评估电力系统暂态功角稳定性的方法、装置以及设备Method, device and apparatus for evaluating transient power angle stability of power system

技术领域Technical Field

本公开涉及电力系统稳定性分析技术领域,尤其涉及一种用于评估电力系统暂态功角稳定性的方法、装置、电子设备、非暂态计算机可读存储介质以及计算机程序产品。The present disclosure relates to the technical field of power system stability analysis, and in particular to a method, device, electronic device, non-transient computer-readable storage medium, and computer program product for evaluating transient power angle stability of a power system.

背景技术Background Art

众所周知,抽水蓄能(以下简称抽蓄)作为一种稳定可靠的大容量储能技术,是目前主要的储能手段。随着新能源场站并入电网的比例逐渐增大,大量抽蓄机组接入电力系统以平抑新能源发电的波动性、提高电力系统的调峰能力。As we all know, pumped storage (hereinafter referred to as pumped storage) is a stable and reliable large-capacity energy storage technology and is currently the main means of energy storage. As the proportion of new energy stations connected to the power grid gradually increases, a large number of pumped storage units are connected to the power system to smooth the volatility of new energy power generation and improve the peak-shaving capacity of the power system.

然而,随着高比例抽蓄机组接入,电力系统原有同步发电机的等效次暂态电抗与电势受到影响,电力系统的功率特性发生改变,在某些可能的故障情况下,电力系统的稳定性(尤其是暂态功角稳定性)可能恶化。因此,需要针对高比例抽蓄机组接入下电力系统的暂态功角稳定性分析开展研究。However, with the access of a high proportion of pumped storage units, the equivalent subtransient reactance and potential of the original synchronous generators in the power system are affected, the power characteristics of the power system change, and the stability of the power system (especially the transient power angle stability) may deteriorate under certain possible fault conditions. Therefore, it is necessary to conduct research on the transient power angle stability analysis of the power system under the access of a high proportion of pumped storage units.

目前相关技术中,关于“高比例抽蓄机组接入下电力系统的暂态功角稳定性分析”的方案主要涉及时域仿真方法、相轨迹方法以及能量函数法。但是,上述现有技术的方案至少存在计算负担较大以及求解结果缺少物理解释、无法给出数量结果、以及难于普及适用的问题。In the current related technologies, the solutions for "transient power angle stability analysis of power systems with high proportion of pumped storage units connected" mainly involve time domain simulation methods, phase trajectory methods and energy function methods. However, the above-mentioned existing technology solutions have at least the problems of heavy computational burden, lack of physical explanation of the solution results, inability to give quantitative results, and difficulty in popularization and application.

发明内容Summary of the invention

本公开提供一种用于评估电力系统暂态功角稳定性的方法、装置、电子设备、非暂态计算机可读存储介质以及计算机程序产品,用以解决现有技术中的缺陷。The present disclosure provides a method, an apparatus, an electronic device, a non-transient computer-readable storage medium, and a computer program product for evaluating the transient power angle stability of an electric power system, so as to solve the defects in the prior art.

本公开提供一种用于评估电力系统暂态功角稳定性的方法,包括:The present disclosure provides a method for evaluating transient power angle stability of an electric power system, comprising:

基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型;Based on the power system to be evaluated and the pumped storage units of preset types connected to the power system to be evaluated, an equivalent circuit of the initial comprehensive system is established; wherein the power system to be evaluated includes multiple synchronous generator sets, multiple new energy power generation stations and a direct current transmission system; the preset types of the pumped storage units include fixed speed type and variable speed type;

基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路;Based on the equivalent circuit of the initial integrated system, using the preset type and current operating condition of the pumped storage unit, determining the equivalent circuit of the current integrated system corresponding to the current operating condition;

响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;In response to a fault occurring in the current integrated system under the current working condition, respectively obtaining parameter values of a first state parameter of the current integrated system before the fault and parameter values of a second state parameter at different stages of fault handling;

响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度,其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。In response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, the stability margin of the power system to be evaluated is calculated, wherein the stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

本公开还提供一种用于评估电力系统暂态功角稳定性的装置,包括:The present disclosure also provides a device for evaluating the transient power angle stability of an electric power system, comprising:

初始等效电路建构模块,被配置为:基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型;The initial equivalent circuit construction module is configured to: establish an equivalent circuit of an initial comprehensive system based on a power system to be evaluated and a pumped storage unit of a preset type connected to the power system to be evaluated; wherein the power system to be evaluated includes a plurality of synchronous generator sets, a plurality of new energy power generation stations and a direct current transmission system; and the preset types of the pumped storage units include a fixed speed type and a variable speed type;

当前等效电路建构模块,被配置为:基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路;The current equivalent circuit construction module is configured to: determine the equivalent circuit of the current integrated system corresponding to the current operating condition based on the equivalent circuit of the initial integrated system and using the preset type and current operating condition of the pumped storage unit;

系统参数获取模块,被配置为:响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;The system parameter acquisition module is configured to: in response to a fault occurring in the current integrated system under the current working condition, respectively acquire parameter values of a first state parameter of the current integrated system before the fault and parameter values of a second state parameter at different stages of fault handling;

稳定性分析模块,被配置为:响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度,其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。The stability analysis module is configured to: in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, calculate the stability margin of the power system to be evaluated, wherein the stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

本公开还提供一种电子设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的计算机程序,所述处理器执行所述程序时实现如上述任一种所述用于评估电力系统暂态功角稳定性的方法。The present disclosure also provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the program, the method for evaluating the transient power angle stability of an electric power system as described in any one of the above is implemented.

本公开还提供一种非暂态计算机可读存储介质,其上存储有计算机程序,该计算机程序被处理器执行时实现如上述任一种所述用于评估电力系统暂态功角稳定性的方法。The present disclosure also provides a non-transitory computer-readable storage medium having a computer program stored thereon. When the computer program is executed by a processor, the method for evaluating the transient power angle stability of an electric power system as described in any one of the above is implemented.

本公开还提供一种计算机程序产品,包括计算机程序,所述计算机程序被处理器执行时实现如上述任一种所述用于评估电力系统暂态功角稳定性的方法。The present disclosure also provides a computer program product, comprising a computer program, wherein when the computer program is executed by a processor, the computer program implements any of the above methods for evaluating the transient power angle stability of an electric power system.

如上所述,本公开提供的用于用于评估电力系统暂态功角稳定性的方法,基于抽蓄机组的动态特性分析,将抽蓄机组纳入至等面积准则分析框架中,研究抽蓄机组接入对待评估电力系统暂态功角稳定性的影响。具体地,本公开通过分析定速型和变速型抽蓄机组当前工况下的动态特性,进而得到其等效电路;并与待评估电力系统其余元件等效电路进行连接,可得到当前综合系统的等效电路以及对应的电磁功率表达式(将在后续实施方式中描述)。进一步地,通过分析待评估电力故障前后的电磁功率表达式的变化情况,可计算待评估电力功角加速与功角最大减速面积,进而得到待评估电力系统的功角裕度,作为衡量待评估电力暂态功角稳定性的指标,用于定量计算抽蓄机组接入对待评估电力系统暂态功角稳定性的影响。As described above, the method provided by the present disclosure for evaluating the transient power angle stability of the power system is based on the dynamic characteristics analysis of the pumped storage unit, and the pumped storage unit is incorporated into the equal area criterion analysis framework to study the impact of the access of the pumped storage unit on the transient power angle stability of the power system to be evaluated. Specifically, the present disclosure analyzes the dynamic characteristics of the fixed-speed and variable-speed pumped storage units under the current working conditions, and then obtains their equivalent circuits; and connects them with the equivalent circuits of the remaining components of the power system to be evaluated, so as to obtain the equivalent circuit of the current integrated system and the corresponding electromagnetic power expression (which will be described in subsequent embodiments). Furthermore, by analyzing the changes in the electromagnetic power expression before and after the power fault to be evaluated, the power angle acceleration and the maximum power angle deceleration area of the power to be evaluated can be calculated, and then the power angle margin of the power system to be evaluated can be obtained, which is used as an indicator to measure the transient power angle stability of the power to be evaluated, and is used to quantitatively calculate the impact of the access of the pumped storage unit on the transient power angle stability of the power system to be evaluated.

综上,本公开上述实施例提供的用于评估电力系统暂态功角稳定性的方法,可以充分考虑不同类型抽蓄机组、不同运行工况对系统暂态功角稳定性的影响。并且由于采用的“等面积准则”具有计算简洁和机理明确的有点,因此,本公开实施例的方法不仅计算负担小、求解结果物理解释明确且为定量结果,而且适用范围广且易于实施。In summary, the method for evaluating the transient power angle stability of the power system provided by the above embodiment of the present disclosure can fully consider the influence of different types of pumped storage units and different operating conditions on the transient power angle stability of the system. And because the adopted "equal area criterion" has the advantages of simple calculation and clear mechanism, the method of the embodiment of the present disclosure not only has a small calculation burden, the physical interpretation of the solution result is clear and quantitative, but also has a wide range of application and is easy to implement.

附图说明BRIEF DESCRIPTION OF THE DRAWINGS

为了更清楚地说明本公开或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图是本公开的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the present disclosure or the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of the present disclosure. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

图1是本公开实施例提供的用于评估电力系统暂态功角稳定性的方法的流程示意图;FIG1 is a flow chart of a method for evaluating transient power angle stability of a power system provided by an embodiment of the present disclosure;

图2是本公开实施例提供的所述定速型抽蓄机组运行于发电工况或抽水工况时的第一功率外特性等效电路示意图;2 is a schematic diagram of an equivalent circuit of a first power external characteristic of the fixed-speed pumped-storage unit provided in an embodiment of the present disclosure when operating in a power generation condition or a pumping condition;

图3是本公开实施例提供的所述定速型抽蓄机组运行于调相工况的第一功率外特性等效电路示意图;3 is a schematic diagram of an equivalent circuit of a first power external characteristic of the fixed-speed pumped storage unit provided in an embodiment of the present disclosure operating in a phase-adjusting condition;

图4是本公开实施例提供的所述变速型抽蓄机组运行于不同工况的第一功率外特性等效电路示意图;4 is a schematic diagram of an equivalent circuit of the first power external characteristic of the variable speed pumped storage unit provided in an embodiment of the present disclosure operating under different working conditions;

图5是本公开实施例提供的所述待评估电力系统的范式系统结构示意图;FIG5 is a schematic diagram of a paradigm system structure of the power system to be evaluated provided in an embodiment of the present disclosure;

图6是本公开实施例提供的所述风电场站发电机组的外特性等效电路示意图;FIG6 is a schematic diagram of an external characteristic equivalent circuit of the wind farm generator set provided by an embodiment of the present disclosure;

图7是本公开实施例提供的直流输电系统的外特性等效电路示意图;FIG7 is a schematic diagram of an external characteristic equivalent circuit of a DC power transmission system provided by an embodiment of the present disclosure;

图8是本公开实施例提供的所述初始综合系统的等效电路;FIG8 is an equivalent circuit of the initial integrated system provided by an embodiment of the present disclosure;

图9是本公开实施例提供的抽蓄机组工作在发电工况下,故障前后所述待评估电力系统的电磁功率曲线变化示意图;9 is a schematic diagram of the change of the electromagnetic power curve of the power system to be evaluated before and after a fault when the pumped storage unit provided in an embodiment of the present disclosure is working under power generation conditions;

图10是本公开实施例提供的用于评估电力系统暂态功角稳定性的装置的结构示意图;FIG10 is a schematic diagram of the structure of a device for evaluating transient power angle stability of a power system provided by an embodiment of the present disclosure;

图11是本公开提供的电子设备的结构示意图。FIG. 11 is a schematic diagram of the structure of an electronic device provided by the present disclosure.

具体实施方式DETAILED DESCRIPTION

为使本公开的目的、技术方案和优点更加清楚,下面将结合本公开中的附图,对本公开中的技术方案进行清楚、完整地描述,显然,所描述的实施例是本公开一部分实施例,而不是全部的实施例。基于本公开中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本公开保护的范围。In order to make the purpose, technical solutions and advantages of the present disclosure clearer, the technical solutions in the present disclosure will be clearly and completely described below in conjunction with the drawings in the present disclosure. Obviously, the described embodiments are part of the embodiments of the present disclosure, rather than all the embodiments. Based on the embodiments in the present disclosure, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present disclosure.

发明构思概述:Summary of the invention concept:

本公开发明人经过研究发现,抽蓄机组可以分为定速抽蓄与变速抽蓄两种。两种抽蓄均可以运行于发电、抽水以及调相三种工况下。对于定速抽蓄机组而言,其结构与运行特性与同步电机相同,因此在三种工况下其可以分别等效为同步发电机、同步电动机以及同步调相机。故,定速抽蓄的功角特性与传统同步机的功角特性相同,它的接入将会直接影响系统中同步机的等值模型;相较而言,变速抽蓄机组则相当于异步电机,在三种工况下其可以分别等效为异步发电机、异步电动机以及异步调相机。因此,其功角特性与传统同步机不同,但是可以通过影响电力系统的功率平衡间接影响同步机的电磁功率。After research, the inventors of the present disclosure have found that pumped storage units can be divided into two types: fixed-speed pumped storage and variable-speed pumped storage. Both types of pumped storage can operate under three working conditions: power generation, pumping, and phase adjustment. For fixed-speed pumped storage units, their structure and operating characteristics are the same as those of synchronous motors, so they can be equivalent to synchronous generators, synchronous motors, and synchronous phase regulators under three working conditions. Therefore, the power angle characteristics of fixed-speed pumped storage are the same as those of traditional synchronous machines, and its access will directly affect the equivalent model of the synchronous machine in the system; in comparison, the variable-speed pumped storage unit is equivalent to an asynchronous motor, which can be equivalent to an asynchronous generator, an asynchronous motor, and an asynchronous phase regulator under three working conditions. Therefore, its power angle characteristics are different from those of traditional synchronous machines, but it can indirectly affect the electromagnetic power of the synchronous machine by affecting the power balance of the power system.

基于此,本公开发明人经过进一步研究发现,导致现有技术问题的原因在于:时域仿真的方法核心是基于数值求解方法求取电力系统动力学方程的解。虽然可以得到较为精确的数值结果,但也因“基于数值求解”而导致计算负担较大、以及求解结果缺少物理解释的问题。所述相轨迹方法主要是通过描述功角与角速度之间的相对变化,较为直观的反映系统稳定性演化过程,因此导致无法给出数量结果。所述能量函数法则是基于李雅普诺夫理论,通过计算故障时刻能量与临界能量值来定量判别系统稳定性,但是能量函数的构造往往十分困难,因此导致难于普及适用。Based on this, the inventors of the present disclosure have found through further research that the reason for the problems of the prior art is that the core of the time domain simulation method is to obtain the solution of the power system dynamics equation based on the numerical solution method. Although relatively accurate numerical results can be obtained, the "numerical solution-based" method also leads to a large computational burden and a lack of physical explanation of the solution results. The phase trajectory method mainly reflects the evolution process of system stability more intuitively by describing the relative changes between the power angle and the angular velocity, so it is impossible to give a quantitative result. The energy function law is based on Lyapunov theory, which quantitatively judges the stability of the system by calculating the energy and critical energy value at the moment of fault, but the construction of the energy function is often very difficult, which makes it difficult to popularize and apply.

更进一步地,本公开发明人经过研究还发现,“等面积准则”因其具有计算简单,机理明确的优点,被广泛应用于等值单同步机-无穷大电源系统的暂态功角稳定性分析中。然而目前还未有将其应用于含抽蓄机组接入的电力系统的稳定性分析的先例。Furthermore, the inventors of the present disclosure have also found through research that the "equal area criterion" is widely used in the transient power angle stability analysis of the equivalent single synchronous machine-infinite power system due to its advantages of simple calculation and clear mechanism. However, there is no precedent for applying it to the stability analysis of the power system with pumped storage units connected.

有鉴于此,本公开发明人基于所述抽蓄机组的结构与运行特性,考虑利用所述“等面积准则”,对不同类型抽蓄机组接入电力系统后的暂态功角稳定性进行评估。具体地,本公开发明人提供了如下实施例所述用于评估电力系统暂态功角稳定性的方案。In view of this, the inventors of the present disclosure consider using the "equal area criterion" to evaluate the transient power angle stability of different types of pumped storage units after they are connected to the power system based on the structure and operating characteristics of the pumped storage unit. Specifically, the inventors of the present disclosure provide a solution for evaluating the transient power angle stability of the power system as described in the following embodiment.

实施例:Example:

下面结合附图,对本公开的用于评估电力系统暂态功角稳定性的方案进行说明。The following describes the scheme for evaluating the transient power angle stability of a power system disclosed in the present invention in conjunction with the accompanying drawings.

图1是本公开一示例性实施例提供的用于评估电力系统暂态功角稳定性的方法流程示意图。本实施例可应用在电子设备(例如,服务器或者云计算平台)上,如图1所示,用于评估电力系统暂态功角稳定性的方法包括如下步骤:FIG1 is a flow chart of a method for evaluating the transient power angle stability of a power system provided by an exemplary embodiment of the present disclosure. This embodiment can be applied to an electronic device (e.g., a server or a cloud computing platform). As shown in FIG1, the method for evaluating the transient power angle stability of a power system includes the following steps:

S110、基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路。S110 , establishing an equivalent circuit of an initial integrated system based on the power system to be evaluated and a pumped storage unit of a preset type connected to the power system to be evaluated.

其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型。Among them, the power system to be evaluated includes multiple synchronous generator sets, multiple new energy power generation stations and a direct current transmission system; the preset types of the pumped storage units include fixed speed type and variable speed type.

需要说明的是,在步骤S110执行之前,一般可以预先获取到待评估电力系统的结构以及各元件,预设类型的抽蓄机组的类型以及与所述待评估电力系统的连接关系等相关信息;利用这些信息,即可以建立所述初始综合系统的等效电路。具体实施方式将在下文中描述,这里先不赘述。It should be noted that before executing step S110, the structure and components of the power system to be evaluated, the type of the preset type of pumped storage unit and the connection relationship with the power system to be evaluated and other related information can generally be obtained in advance; using this information, the equivalent circuit of the initial integrated system can be established. The specific implementation will be described below and will not be repeated here.

S120、基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路。S120. Based on the equivalent circuit of the initial integrated system, and utilizing the preset type and current operating condition of the pumped storage unit, determine the equivalent circuit of the current integrated system corresponding to the current operating condition.

其中,所述当前工况集当前时刻的工况或者也可理解为实时工况。The current operating condition set refers to the operating condition at the current moment or can also be understood as the real-time operating condition.

S130、响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值。S130. In response to a fault occurring in the current integrated system under the current operating condition, respectively obtaining parameter values of first state parameters of the current integrated system before the fault and parameter values of second state parameters at different stages of fault handling.

其中,本公开对“出现故障”的类型不作限定。例如,可包括但不限于直流输出系统闭锁。The present disclosure does not limit the type of "fault". For example, it may include but is not limited to DC output system locking.

本公开对“故障处置不同阶段”也不作限定。例如,在故障为直流输出系统闭锁的情况下,所述故障处置不同阶段可包括电容切除阶段、系统切机阶段。相应地,所述当前综合系统的等效电路可匹配故障处置不同阶段而相应地变化。The present disclosure does not limit the "different stages of fault handling". For example, when the fault is a DC output system lockout, the different stages of fault handling may include a capacitor removal stage and a system power-off stage. Accordingly, the equivalent circuit of the current integrated system may change accordingly to match the different stages of fault handling.

其中,本公开对“第一状态参数的参数值、第二状态参数的参数值”的“获取”方式也不作限定。例如,可以从所述当前综合系统中采集、或者,在不便于采集而定情况下,利用合理的方式计算或者估计得到。The present disclosure does not limit the method of "obtaining" the "parameter value of the first state parameter and the parameter value of the second state parameter". For example, they can be collected from the current integrated system, or, if it is not convenient to collect, they can be calculated or estimated in a reasonable way.

S140、响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度。S140. In response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, calculate the stability margin of the power system to be evaluated.

其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。The stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

其中,对所述待评估电力系统稳定性的判断,是基于所述“等面积准则”实现的,具体实施细节将在下文中描述,这里先不赘述。The judgment on the stability of the power system to be evaluated is implemented based on the "equal area criterion", and the specific implementation details will be described below and will not be repeated here.

如上所述,本公开提供的用于用于评估电力系统暂态功角稳定性的方法,基于抽蓄机组的动态特性分析,将抽蓄机组纳入至等面积准则分析框架中,研究抽蓄机组接入对待评估电力系统暂态功角稳定性的影响。具体地,本公开通过分析定速型和变速型抽蓄机组当前工况下的动态特性,进而得到其等效电路;并与待评估电力系统其余元件等效电路进行连接,可得到当前综合系统的等效电路以及对应的电磁功率表达式(将在后续实施方式中描述)。进一步地,通过分析待评估电力故障前后的电磁功率表达式的变化情况,可计算待评估电力功角加速与功角最大减速面积,进而得到待评估电力系统的功角裕度,作为衡量待评估电力暂态功角稳定性的指标,用于定量计算抽蓄机组接入对待评估电力系统暂态功角稳定性的影响。As described above, the method provided by the present disclosure for evaluating the transient power angle stability of the power system is based on the dynamic characteristics analysis of the pumped storage unit, and the pumped storage unit is incorporated into the equal area criterion analysis framework to study the impact of the access of the pumped storage unit on the transient power angle stability of the power system to be evaluated. Specifically, the present disclosure analyzes the dynamic characteristics of the fixed-speed and variable-speed pumped storage units under the current working conditions, and then obtains their equivalent circuits; and connects them with the equivalent circuits of the remaining components of the power system to be evaluated, so as to obtain the equivalent circuit of the current integrated system and the corresponding electromagnetic power expression (which will be described in subsequent embodiments). Furthermore, by analyzing the changes in the electromagnetic power expression before and after the power fault to be evaluated, the power angle acceleration and the maximum power angle deceleration area of the power to be evaluated can be calculated, and then the power angle margin of the power system to be evaluated can be obtained, which is used as an indicator to measure the transient power angle stability of the power to be evaluated, and is used to quantitatively calculate the impact of the access of the pumped storage unit on the transient power angle stability of the power system to be evaluated.

综上,本公开上述实施例提供的用于评估电力系统暂态功角稳定性的方法,可以充分考虑不同类型抽蓄机组、不同运行工况对系统暂态功角稳定性的影响。并且由于采用的“等面积准则”具有计算简洁和机理明确的有点,因此,本公开实施例的方法不仅计算负担小、求解结果物理解释明确且为定量结果,而且适用范围广且易于实施。In summary, the method for evaluating the transient power angle stability of the power system provided by the above embodiment of the present disclosure can fully consider the influence of different types of pumped storage units and different operating conditions on the transient power angle stability of the system. And because the adopted "equal area criterion" has the advantages of simple calculation and clear mechanism, the method of the embodiment of the present disclosure not only has a small calculation burden, the physical interpretation of the solution result is clear and quantitative, but also has a wide range of application and is easy to implement.

在图1实施例基础上,作为一可选实施方式,在所述预设类型为定速型情况下,所述多种工况包括发电工况、抽水工况以及调相工况。在所述预设类型为变速型情况下,所述多种工况包括发电工况、抽水工况以及调相工况。Based on the embodiment of FIG1 , as an optional implementation, when the preset type is a constant speed type, the multiple operating conditions include a power generation condition, a pumping condition, and a phase adjustment condition. When the preset type is a variable speed type, the multiple operating conditions include a power generation condition, a pumping condition, and a phase adjustment condition.

在图1实施例以及上述实施方式基础上,作为一可选实施方式,步骤S110“基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组”,可通过如下方式实现:Based on the embodiment of FIG. 1 and the above-mentioned embodiments, as an optional embodiment, step S110 “based on the power system to be evaluated and the pumped storage unit of a preset type connected to the power system to be evaluated” can be implemented as follows:

步骤1)、利用所述预设类型抽蓄机组在多种工况下的动态特性,建立对应每种工况的第一功率外特性等效电路。Step 1) using the dynamic characteristics of the preset type of pumped storage unit under various working conditions, establish a first power external characteristic equivalent circuit corresponding to each working condition.

I、对于抽蓄机组为定速型的情况,其运行于发电工况、抽水工况以及调相工况时,相应地可以等效为一台同步发电机、同步电动机以及同步调相机。I. When the pumped storage unit is of fixed speed type, it can be equivalent to a synchronous generator, a synchronous motor and a synchronous phase regulator when operating in power generation, pumping and phase adjustment conditions.

因此,定速型抽蓄机组运行于不同工况时的动态特性,均可以利用如下计算式(1)~(2)所述的二阶微分方程描述:Therefore, the dynamic characteristics of the fixed-speed pumped storage unit when operating under different working conditions can be described by the second-order differential equations described in the following calculation formulas (1) to (2):

Pe=EQUDsinδ/xd (2)P e = E Q U D sinδ/x d (2)

其中,δ表示抽蓄机组转子实际功角;ω表示抽蓄机组转子实际角速度;ωb表示角速度基准;ωn表示并网角速度;J表示惯量系数,Pm表示原动机输出机械功率,Pe表示电磁功率;EQ表示同步机的次暂态电势;xd表示同步机的次暂态电抗。Among them, δ represents the actual power angle of the rotor of the pumped storage unit; ω represents the actual angular velocity of the rotor of the pumped storage unit; ωb represents the angular velocity reference; ωn represents the grid-connected angular velocity; J represents the inertia coefficient, Pm represents the output mechanical power of the prime mover, Pe represents the electromagnetic power; EQ represents the subtransient potential of the synchronous machine; xd represents the subtransient reactance of the synchronous machine.

基于上述动态特性,当定速型抽蓄机组运行于发电工况时,电磁功率的数值为正,次暂态电抗值为正;而当其运行于抽水工况时,电磁功率的数值为负,次暂态电抗值为负。因此,作为一可选示例,定速型抽蓄机组运行于发电工况或抽水工况时的第一功率外特性等效电路,均可用如图2所示的等效电路表示,两种工况的区别在于次暂态电抗的数值正负。作为另一可选示例,当定速型抽蓄机组运行于调相工况时,抽蓄机组的输出有功功率为0,仅发出或吸收无功,因此定速型抽蓄机组运行于调相工况的第一功率外特性等效电路,可用如图3所示的等效电抗xp近似表示,当其向待评估电力系统注入感性无功时,其数值为负;当其向待评估电力系统注入容性无功时,其数值为正。Based on the above dynamic characteristics, when the fixed-speed pumped storage unit operates in the power generation condition, the value of the electromagnetic power is positive and the sub-transient reactance value is positive; when it operates in the pumping condition, the value of the electromagnetic power is negative and the sub-transient reactance value is negative. Therefore, as an optional example, the first power external characteristic equivalent circuit of the fixed-speed pumped storage unit when operating in the power generation condition or the pumping condition can be represented by the equivalent circuit shown in Figure 2, and the difference between the two conditions lies in the positive and negative value of the sub-transient reactance. As another optional example, when the fixed-speed pumped storage unit operates in the phase adjustment condition, the output active power of the pumped storage unit is 0, and only reactive power is emitted or absorbed. Therefore, the first power external characteristic equivalent circuit of the fixed-speed pumped storage unit operating in the phase adjustment condition can be approximately represented by the equivalent reactance xp shown in Figure 3, and when it injects inductive reactive power into the power system to be evaluated, its value is negative; when it injects capacitive reactive power into the power system to be evaluated, its value is positive.

II、对于抽蓄机组为变速型的情况,其分别运行于发电工况、抽水工况以及调相工况时,相应地可以等效为一台异步发电机、异步电动机以及异步调相机。II. For the case where the pumped storage unit is of variable speed type, when it operates in power generation condition, pumping condition and phase adjustment condition respectively, it can be equivalent to an asynchronous generator, asynchronous motor and asynchronous phase regulator accordingly.

由于异步电机,无论是发电机、电动机还是调相机,其控制系统的控制时间尺度均远小于同步发电机的转子惯性时间尺度,因此在进行暂态稳定分析时可以忽略。Since the control time scale of the control system of an asynchronous motor, whether it is a generator, motor or phase regulator, is much smaller than the rotor inertia time scale of a synchronous generator, it can be ignored when performing transient stability analysis.

基于此,变速型抽蓄机组运行于不同工况时,对应的第一功率外特性等效电路,均可以用如图4所示的并联阻抗模型表示。其中,rp1表示有功和无功的等效电阻;xp1表示有功和无功的等效电抗。当其运行于发电工况时,rp1<0,xp1=0;当其运行于抽水工况时,rp1>0,xp1=0;当其运行于调相工况并且向系统注入感性无功时,rp1=0,xp1<0;当其运行于调相工况并且向系统注入容性无功时,rp1=0,xp1>0。Based on this, when the variable speed pumped storage unit operates in different working conditions, the corresponding first power external characteristic equivalent circuit can be represented by the parallel impedance model shown in Figure 4. Among them, r p1 represents the equivalent resistance of active and reactive power; x p1 represents the equivalent reactance of active and reactive power. When it operates in the power generation condition, r p1 <0, x p1 =0; when it operates in the pumping condition, r p1 >0, x p1 =0; when it operates in the phase adjustment condition and injects inductive reactive power into the system, r p1 =0, x p1 <0; when it operates in the phase adjustment condition and injects capacitive reactive power into the system, r p1 =0, x p1 >0.

步骤2)、对所述待评估电力系统中的多个同步发电机组,进行单机等值、并利用预设网路节点消除规则执行节点消除,得到一个等值同步发电机组。Step 2) For multiple synchronous generator sets in the power system to be evaluated, single-machine equivalence is performed and nodes are eliminated using a preset network node elimination rule to obtain an equivalent synchronous generator set.

步骤3)、对所述待评估电力系统中的多个新能源发电场站,进行场站聚合、并利用预设网路节点消除规则执行节点消除,得到一个聚合新能源发电场站。Step 3) aggregate multiple renewable energy power generation stations in the power system to be evaluated, and perform node elimination using a preset network node elimination rule to obtain an aggregated renewable energy power generation station.

在步骤2)和步骤3)中,本公开对“预设网路节点消除规则”不作限定,例如可以包括但不限于Kron Reduction方法。In step 2) and step 3), the present disclosure does not limit the "preset network node elimination rule", for example, it may include but is not limited to the Kron Reduction method.

需要说明的是,通过步骤2)和步骤3),可将所述待评估电力系统结构简化为范式系统结构。It should be noted that, through step 2) and step 3), the power system structure to be evaluated can be simplified into a paradigm system structure.

作为一可选示例,参照图5,范式系统结构中,可包括受端系统1、受端系统2、高压直流输电系统(HVDC)、高压交流输电系统(HVAC)、电容器、变压器T1~T3、同步发电机SG、风电场站以及抽蓄机组PS。其中,参照图5,“抽蓄机组接入部分”可用于后续构建系统等效电路时,接入所述“第一功率外特性等效电路”。As an optional example, referring to FIG5 , the paradigm system structure may include a receiving system 1, a receiving system 2, a high-voltage direct current transmission system (HVDC), a high-voltage alternating current transmission system (HVAC), capacitors, transformers T1 to T3, a synchronous generator SG, a wind farm station, and a pumped storage unit PS. Referring to FIG5 , the "pumped storage unit access part" can be used to access the "first power external characteristic equivalent circuit" when constructing a system equivalent circuit in the future.

步骤4)、利用预设等效电路构建规则,确定所述聚合新能源发电场站对应的第二外特性等效电路、以及所述直流输电系统对应的第三外特性等效电路。Step 4) using preset equivalent circuit construction rules to determine the second external characteristic equivalent circuit corresponding to the aggregated renewable energy power generation station and the third external characteristic equivalent circuit corresponding to the direct current transmission system.

作为一可选示例,假设聚合新能源发电场站为图5示例中的“风电场站”。则在同步机暂稳分析框架下,风电场站发电机组控制器的控制带宽远小于其发电机组转子,因此可以忽略其动态特性。在此前提下,风电场站发电机组的外特性可以近似等效为一个功率源,在待评估电力系统故障的不同阶段,为待评估电力系统注入不同的有功和无功功率。As an optional example, assume that the aggregated renewable energy power generation station is the "wind farm station" in the example of Figure 5. Then, in the framework of synchronous machine transient stability analysis, the control bandwidth of the wind farm station generator set controller is much smaller than its generator set rotor, so its dynamic characteristics can be ignored. Under this premise, the external characteristics of the wind farm station generator set can be approximately equivalent to a power source, injecting different active and reactive powers into the power system to be evaluated at different stages of the power system fault to be evaluated.

因此,可以利用如下计算式式(3)所示的负可变阻抗模型来等效其对待评估电力系统的功率贡献。Therefore, the negative variable impedance model shown in the following calculation formula (3) can be used to equate its power contribution to the power system to be evaluated.

其中,rW表示风电发电机组功率特性等效电阻;xW表示风电发电机组功率特性等效电抗;PW表示风电发电机组有功出力;QW表示风电发电机组无功出力。Among them, r W represents the equivalent resistance of the wind turbine generator set power characteristics; x W represents the equivalent reactance of the wind turbine generator set power characteristics; P W represents the active output of the wind turbine generator set; Q W represents the reactive output of the wind turbine generator set.

在该示例中,基于上述分析,所述风电场站发电机组的外特性等效电路可如图6所示。In this example, based on the above analysis, the external characteristic equivalent circuit of the wind farm generator set may be as shown in FIG6 .

作为另一可选示例,基于与前一示例类似的理由,忽略直流系统的动态特性,直流系统可以近似等效为一个恒功率负荷,同样可以用阻抗模型表示,如下式(4)所示:As another optional example, based on similar reasons to the previous example, ignoring the dynamic characteristics of the DC system, the DC system can be approximately equivalent to a constant power load, which can also be represented by an impedance model, as shown in the following equation (4):

其中,rD表示直流输电系统功率特性等效电阻;xD表示直流输电系统功率特性等效电抗;PD表示直流输送的有功功率;QD表示直流输送的无功功率。Among them, r D represents the equivalent resistance of the power characteristic of the DC transmission system; x D represents the equivalent reactance of the power characteristic of the DC transmission system; P D represents the active power transmitted by DC; Q D represents the reactive power transmitted by DC.

在该示例中,基于上述分析,直流输电系统的外特性等效电路可如图7所示。In this example, based on the above analysis, the external characteristic equivalent circuit of the DC transmission system can be shown as shown in FIG7 .

步骤5)、利用所述第一功率外特性等效电路、第二外特性等效电路、第三外特性等效电路以及所述等值同步发电机组,建立所述初始综合系统的等效电路。Step 5) using the first power external characteristic equivalent circuit, the second external characteristic equivalent circuit, the third external characteristic equivalent circuit and the equivalent synchronous generator set to establish an equivalent circuit of the initial integrated system.

其中,作为一可选示例,参照图5所示范式系统结构,将所述第一功率外特性等效电路、第二外特性等效电路、第三外特性等效电路以及所述等值同步发电机组进行适应性地匹配连接,即可得到如图8所述初始综合系统的等效电路。Among them, as an optional example, referring to the exemplary system structure of Figure 5, the first power external characteristic equivalent circuit, the second external characteristic equivalent circuit, the third external characteristic equivalent circuit and the equivalent synchronous generator set are adaptively matched and connected to obtain the equivalent circuit of the initial integrated system as shown in Figure 8.

参照图8示例,基于抽蓄机组的预设类型,可匹配6种工况(即Model1~6)适应性地调整为6种等效电路(即,6种对应当前工况的当前综合系统的等效电路);具体如何实施调整将在下文中描述,这里先不赘述。Referring to the example of Figure 8, based on the preset type of the pumped storage unit, 6 operating conditions (i.e., Model 1 to 6) can be matched and adaptively adjusted to 6 equivalent circuits (i.e., 6 equivalent circuits of the current integrated system corresponding to the current operating conditions); how to implement the adjustment will be described below and will not be repeated here.

在上述实施例以及实施方式基础上,作为一可选实施方式,步骤S120“基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路”可包括如下几种情况:Based on the above embodiments and implementation methods, as an optional implementation method, step S120 "determining the equivalent circuit of the current integrated system corresponding to the current operating condition by using the preset type and current operating condition of the pumped storage unit based on the equivalent circuit of the initial integrated system" may include the following situations:

工况Model1、响应于所述抽蓄机组的预设类型为定速型、且所述当前工况为发电工况,则将所述初始综合系统的等效电路中,所述抽蓄机组对应等效电路与所述等值同步发电机组的电路合并,得到所述对应当前工况的当前综合系统的等效电路。Operating condition Model1, in response to the preset type of the pumped storage unit being a constant speed type and the current operating condition being a power generation condition, the equivalent circuit corresponding to the pumped storage unit in the equivalent circuit of the initial integrated system is merged with the circuit of the equivalent synchronous generator set to obtain the equivalent circuit of the current integrated system corresponding to the current operating condition.

工况Model2、响应于所述抽蓄机组的预设类型为定速型、且所述当前工况为抽水工况,则将所述初始综合系统的等效电路中,所述抽蓄机组对应等效电路与所述等值同步发电机组的电路合并,得到所述对应当前工况的当前综合系统的等效电路。Operating condition Model2, in response to the preset type of the pumped storage unit being a constant speed type and the current operating condition being a pumping condition, the equivalent circuit corresponding to the pumped storage unit in the equivalent circuit of the initial integrated system is merged with the circuit of the equivalent synchronous generator set to obtain the equivalent circuit of the current integrated system corresponding to the current operating condition.

工况Model3、响应于所述抽蓄机组的预设类型为定速型、且所述当前工况为调相工况,则将所述初始综合系统的等效电路中,所述抽蓄机组对应等效电路调整为并联电抗,得到所述对应当前工况的当前综合系统的等效电路。Operating condition Model3, in response to the preset type of the pumped storage unit being a constant speed type, and the current operating condition being a phase-adjusting condition, the equivalent circuit corresponding to the pumped storage unit in the equivalent circuit of the initial integrated system is adjusted to a parallel reactance to obtain the equivalent circuit of the current integrated system corresponding to the current operating condition.

工况Model4、响应于所述抽蓄机组的预设类型为变速型、且所述当前工况为发电工况,则将所述初始综合系统的等效电路中,所述抽蓄机组对应等效电路调整为并联电阻,得到所述对应当前工况的当前综合系统的等效电路。Operating condition Model 4, in response to the preset type of the pumped storage unit being a variable speed type and the current operating condition being a power generation condition, the equivalent circuit corresponding to the pumped storage unit in the equivalent circuit of the initial integrated system is adjusted to a parallel resistor to obtain the equivalent circuit of the current integrated system corresponding to the current operating condition.

工况Model5、响应于所述抽蓄机组的预设类型为变速型、且所述当前工况为抽水工况,则将所述初始综合系统的等效电路中,所述抽蓄机组对应等效电路调整为并联电阻,得到所述对应当前工况的当前综合系统的等效电路。Working condition Model5, in response to the preset type of the pumped storage unit being a variable speed type and the current working condition being a pumping working condition, the equivalent circuit corresponding to the pumped storage unit in the equivalent circuit of the initial integrated system is adjusted to a parallel resistor to obtain the equivalent circuit of the current integrated system corresponding to the current working condition.

工况Model6、响应于所述抽蓄机组的预设类型为变速型、且所述当前工况为调相工况,则将所述初始综合系统的等效电路中,所述抽蓄机组对应等效电路调整为并联电抗,得到所述对应当前工况的当前综合系统的等效电路。Operating condition Model6, in response to the preset type of the pumped storage unit being a variable speed type, and the current operating condition being a phase-adjusting condition, the equivalent circuit corresponding to the pumped storage unit in the equivalent circuit of the initial integrated system is adjusted to a parallel reactance to obtain the equivalent circuit of the current integrated system corresponding to the current operating condition.

在上述实施例以及实施方式基础上,作为一可选实施方式,所述第一状态参数、所述第二参数,包括:Based on the above embodiments and implementation modes, as an optional implementation mode, the first state parameter and the second parameter include:

所述当前综合系统的等效电路中的等值同步发电机组的次暂态电势、直流输电系统功率特性等效电压、自阻抗角的余角、互阻抗角的余角、抽蓄机组转子实际功角、发电机次暂态电抗和出口变压器电抗之和、聚合新能源发电场站功率特性等效电阻、直流输电系统功率特性等效电抗、直流输电系统功率特性等效电阻、线路电抗、并联电容器电抗、聚合新能源发电场站有功出力、直流输电系统有功功率、直流输电系统无功功率、并联电容器无功功率Qc、等值同步发电机组与所述抽蓄机组在当前工况下等效电路合并之后的等效输出电抗、所述抽蓄机组在当前工况下吸收或发出的有功功率以及无功功率。The subtransient potential of the equivalent synchronous generator set in the equivalent circuit of the current integrated system, the equivalent voltage of the power characteristic of the direct current transmission system, the complementary angle of the self-impedance angle, the complementary angle of the mutual impedance angle, the actual power angle of the rotor of the pumped storage unit, the sum of the subtransient reactance of the generator and the reactance of the export transformer, the equivalent resistance of the power characteristic of the aggregated new energy power generation station, the equivalent reactance of the power characteristic of the direct current transmission system, the equivalent resistance of the power characteristic of the direct current transmission system, the line reactance, the reactance of the shunt capacitor, the active output of the aggregated new energy power generation station, the active power of the direct current transmission system, the reactive power of the direct current transmission system, the reactive power Qc of the shunt capacitor, the equivalent output reactance of the equivalent synchronous generator set and the pumped storage unit after the equivalent circuit is combined under the current operating conditions, and the active power and reactive power absorbed or emitted by the pumped storage unit under the current operating conditions.

在上述实施例以及实施方式基础上,作为一可选实施方式,步骤S140“响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度”,可包括如下步骤:Based on the above embodiments and implementation methods, as an optional implementation method, step S140 "calculating the stability margin of the power system to be evaluated in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system" may include the following steps:

步骤i)、基于所述第一状态参数的参数值以及所述当前综合系统的等效电路,利用预设电磁功率计算规则,确定所述当前综合系统在故障前的第一电磁功率曲线。Step i): based on the parameter value of the first state parameter and the equivalent circuit of the current integrated system, a first electromagnetic power curve of the current integrated system before a fault is determined using a preset electromagnetic power calculation rule.

其中,在不考虑抽蓄机组接入待评估电力系统的情况下,所述待评估电力系统等效电磁功率PeS可利用如下计算式(5)~(7)确定:Wherein, without considering the connection of the pumped storage unit to the power system to be evaluated, the equivalent electromagnetic power PeS of the power system to be evaluated can be determined by the following calculation formulas (5) to (7):

其中,ZSS、ZSS-1均表示所述当前综合系统的自阻抗;ZSR、ZSR-1均表示所述当前综合系统的互阻抗;公式(5)~(7)中其余符号的含义如下:所述当前综合系统的等效电路中的等值同步发电机组的次暂态电势Eq、直流输电系统功率特性等效电压UD、自阻抗角的余角αSS、互阻抗角的余角αSR、抽蓄机组转子实际功角δ、发电机次暂态电抗和出口变压器电抗之和xTd-TS、聚合新能源发电场站功率特性等效电阻rW、直流输电系统功率特性等效电抗xD、直流输电系统功率特性等效电阻rD、线路电抗xL、并联电容器电抗xc、聚合新能源发电场站有功出力PW、直流输电系统有功功率PD、直流输电系统无功功率QD、并联电容器无功功率Qc。Wherein, Z SS and Z SS-1 both represent the self-impedance of the current integrated system; Z SR and Z SR-1 both represent the mutual impedance of the current integrated system; the meanings of the remaining symbols in formulas (5) to (7) are as follows: the subtransient potential Eq of the equivalent synchronous generator set in the equivalent circuit of the current integrated system, the equivalent voltage U D of the power characteristic of the DC transmission system, the complementary angle α SS of the self-impedance angle, the complementary angle α SR of the mutual impedance angle, the actual power angle δ of the rotor of the pumped storage unit, the sum of the subtransient reactance of the generator and the reactance of the export transformer x Td-TS , the power characteristic equivalent resistance r W of the aggregated renewable energy power station, the power characteristic equivalent reactance x D of the DC transmission system, the power characteristic equivalent resistance r D of the DC transmission system, the line reactance x L , the reactance x c of the shunt capacitor, the active output P W of the aggregated renewable energy power station, the active power P D of the DC transmission system, the reactive power Q D of the DC transmission system, and the reactive power Qc of the shunt capacitor.

在步骤i)示例中,当考虑不同类型抽蓄机组接入后,待评估电力系统的等效电路的自阻抗与互阻抗会发生变化,从而形成当前综合系统的等效电路;进而上述计算式(6)~(7)需要匹配具体工况适应性地修改。In the example of step i), when considering the connection of different types of pumped storage units, the self-impedance and mutual impedance of the equivalent circuit of the power system to be evaluated will change, thereby forming the equivalent circuit of the current integrated system; and thus the above calculation formulas (6) to (7) need to be modified adaptively to match the specific working conditions.

具体地,根据抽蓄机组的类型及当前工况,阻抗表达式的修改规则如下:Specifically, according to the type of pumped storage unit and the current operating conditions, the modification rules of the impedance expression are as follows:

当工况为Mode1时:When the working condition is Mode 1:

此时定速型抽蓄机组等效电路的次暂态电抗值大于0,通过与等值同步发电机组的合并,即将计算式中(6)与(7)中的jxTd-Ts替换为jxTd-Ps1At this time, the subtransient reactance value of the equivalent circuit of the fixed-speed pumped storage unit is greater than 0. By merging it with the equivalent synchronous generator set, jx Td-Ts in the calculation formulas (6) and (7) is replaced by jx Td-Ps1 .

其中,jxTd-Ps1表示等值同步发电机组与所述抽蓄机组在当前工况下等效电路合并之后的等效输出电抗。Wherein, jx Td-Ps1 represents the equivalent output reactance after the equivalent circuit of the equivalent synchronous generator set and the pumped storage unit is combined under the current operating condition.

当工况为Mode2时:When the working condition is Mode 2:

此时定速型抽蓄机组等效电路的次暂态电抗值小于0,通过与等值同步发电机组的合并,即将计算式中(6)与(7)中的jxTd-Ts替换为jxTd-Ps2At this time, the subtransient reactance value of the equivalent circuit of the fixed-speed pumped storage unit is less than 0. By merging it with the equivalent synchronous generator unit, jx Td-Ts in the calculation formulas (6) and (7) is replaced by jx Td-Ps2 .

其中,jxTd-Ps2表示等值同步发电机组与所述抽蓄机组在当前工况下等效电路合并之后的等效输出电抗。Wherein, jx Td-Ps2 represents the equivalent output reactance after the equivalent circuit of the equivalent synchronous generator set and the pumped storage unit is combined under the current operating condition.

当工况为Mode3时:When the working condition is Mode 3:

此时定速抽蓄机组等效电路为并联电抗。由于并联电抗的大小由调相机所发出的无功决定,将计算式(6)与(7)中的无功项由QD-QC修改为QD-QC-QP。QP代表定速型抽蓄机组的调相工况下吸收或发出的无功功率。At this time, the equivalent circuit of the fixed-speed pumped storage unit is a parallel reactance. Since the size of the parallel reactance is determined by the reactive power generated by the phase regulator, the reactive term in equations (6) and (7) is modified from Q D -Q C to Q D -Q C -Q P. Q P represents the reactive power absorbed or generated by the fixed-speed pumped storage unit under the phase-shifting condition.

当工况为Mode4时:When the working condition is Mode 4:

此时变速抽蓄机组等效电路为并联电阻。由于并联电阻的大小由发电机所发出的有功决定,将计算式(6)与(7)中的有功项由PW-PD修改为PW-PD+PP1。PP1代表变速抽蓄机组的发电工况下发出的有功功率。At this time, the equivalent circuit of the variable speed pumped storage unit is a parallel resistor. Since the size of the parallel resistor is determined by the active power generated by the generator, the active term in the calculation formula (6) and (7) is modified from P W -PD to P W -PD + PP1 . PP1 represents the active power generated by the variable speed pumped storage unit under the power generation condition.

当工况为Mode5时:When the working condition is Mode 5:

此时变速抽蓄机组等效电路为并联电阻。由于并联电阻的大小由电动机所吸收的有功决定,将计算式(6)与(7)中的有功项由PW-PD修改为PW-PD-PP1。-PP1代表变速抽蓄机组的抽水工况下吸收的有功功率。At this time, the equivalent circuit of the variable speed pumped storage unit is a parallel resistor. Since the size of the parallel resistor is determined by the active power absorbed by the motor, the active term in the calculation formula (6) and (7) is modified from P W -PD to P W -PD -PP1 . -PP1 represents the active power absorbed by the variable speed pumped storage unit under pumping conditions.

当工况为Mode6时:When the working condition is Mode 6:

此时变速抽蓄机组等效电路为并联电抗。由于并联电抗的大小由调相机所发出或吸收的无功决定,将计算式(6)与(7)的表达式中的无功项由QD-QC修改为QD-QC-QP1。QP1代表变速抽蓄机组的调相工况下吸收或发出的无功功率。At this time, the equivalent circuit of the variable speed pumped storage unit is a parallel reactance. Since the size of the parallel reactance is determined by the reactive power generated or absorbed by the phase regulator, the reactive term in the expressions of calculation formulas (6) and (7) is modified from Q D -Q C to Q D -Q C -Q P1 . Q P1 represents the reactive power absorbed or generated by the variable speed pumped storage unit under the phase modulation condition.

如上所述。利用上述计算式(5)~(7)以及相应的匹配具体工况适应性地修改规则,基于一定时段内获取的所述第一状态参数的参数值,即可计算出在故障前,所述当前综合系统匹配当前工况的第一电磁功率曲线。As described above, by using the above calculation formulas (5) to (7) and the corresponding adaptive modification rules for matching specific working conditions, based on the parameter values of the first state parameters obtained within a certain period of time, the first electromagnetic power curve of the current integrated system matching the current working condition before the fault can be calculated.

步骤ii)响应于故障处置不同阶段,更新所述当前综合系统的等效电路,得到对应不同故障处置阶段的更新等效电路。Step ii) in response to different stages of fault handling, updating the equivalent circuit of the current integrated system to obtain updated equivalent circuits corresponding to different stages of fault handling.

其中,需要说明的是,由于故障情况复杂多变,因此,针对每种故障情况的处置范式也不同,当处置方式需要修改或调整所述当前综合系统的等效电路时,则可根据处置修改情况,更新所述当前综合系统的等效电路。It should be noted that, since fault conditions are complex and changeable, the handling paradigm for each fault condition is also different. When the handling method requires modification or adjustment of the equivalent circuit of the current integrated system, the equivalent circuit of the current integrated system can be updated according to the handling modification.

步骤iii)基于所述第二状态参数的参数值以及所述更新等效电路,利用所述预设电磁功率计算规则,确定所述当前综合系统对应故障处置不同阶段的第二电磁功率曲线。Step iii) based on the parameter value of the second state parameter and the updated equivalent circuit, using the preset electromagnetic power calculation rule, determine the second electromagnetic power curve of the current integrated system corresponding to different stages of fault handling.

其中,预设电磁功率计算规则可参照前述步骤i)示例内容,适应性调整。具体地,由于所述更新等效电路相较于故障前的“当前综合系统的等效电路”存在变化,因此,在执行类似步骤i)中对应不同工况对计算式(6)~(7)相关项修改时,是需要在步骤i)的基础上,进一步调整。The preset electromagnetic power calculation rules can be adaptively adjusted with reference to the example content of the aforementioned step i). Specifically, since the updated equivalent circuit is different from the "equivalent circuit of the current integrated system" before the fault, when modifying the relevant items of the calculation formulas (6) to (7) corresponding to different working conditions in executing similar step i), it is necessary to make further adjustments based on step i).

然后,基于一定时段内(例如,覆盖故障处置从开始至结束的时段)获取的所述第二状态参数的参数值,即可计算出在故障处置不同阶段,所述当前综合系统对应的第二电磁功率曲线。Then, based on the parameter value of the second state parameter obtained within a certain period of time (for example, covering the period from the beginning to the end of fault handling), the second electromagnetic power curve corresponding to the current integrated system at different stages of fault handling can be calculated.

步骤iv)利用所述第一电磁功率曲线以及所述第二电磁功率曲线,计算所述当前综合系统的功角加速面积Aacc和功角最大减速面积AdeStep iv) using the first electromagnetic power curve and the second electromagnetic power curve, to calculate the power angle acceleration area A acc and the power angle maximum deceleration area A de of the current integrated system.

其中,作为一可选示例,参照图9,由于所述功角加速面积和功角最大减速面积是由第一电磁功率曲线以及第二电磁功率曲线,在同一坐标系限定的区域,因此可采用积分法计算。As an optional example, referring to FIG. 9 , since the power angle acceleration area and the power angle maximum deceleration area are areas defined by the first electromagnetic power curve and the second electromagnetic power curve in the same coordinate system, the integral method can be used for calculation.

步骤v)响应于所述功角最大减速面积大于所述功角加速面积,则确定所述待评估电力系统暂态功角稳定,并计算所述功角最大减速面积与所述功角加速面积的差值,得到所述稳定裕度。Step v) In response to the maximum power angle deceleration area being greater than the power angle acceleration area, determining that the transient power angle of the power system to be evaluated is stable, and calculating the difference between the maximum power angle deceleration area and the power angle acceleration area to obtain the stability margin.

作为一可选示例,可利用如下计算式(8),判断所述待评估电力系统暂态功角稳定性,As an optional example, the following calculation formula (8) may be used to determine the transient power angle stability of the power system to be evaluated:

Adec>Aacc (8)A dec >A acc (8)

在确定所述待评估电力系统暂态功角稳定的情况下,可利用如下计算式(9)确定所述稳定裕度η:When the transient power angle of the power system to be evaluated is determined to be stable, the stability margin η can be determined using the following calculation formula (9):

η=Adec-Aacc (9)η= Adec - Aacc (9)

其中,Aacc表示功角加速面积;Ade表示功角最大减速面积。Among them, A acc represents the power angle acceleration area; A de represents the power angle maximum deceleration area.

如上所述,本公开提供的用于用于评估电力系统暂态功角稳定性的方法,基于抽蓄机组的动态特性分析,将抽蓄机组纳入至等面积准则分析框架中,研究抽蓄机组接入对待评估电力系统暂态功角稳定性的影响。具体地,本公开通过分析定速型和变速型抽蓄机组当前工况下的动态特性,进而得到其等效电路;并与待评估电力系统其余元件等效电路进行连接,可得到当前综合系统的等效电路以及对应的电磁功率表达式(将在后续实施方式中描述)。进一步地,通过分析待评估电力故障前后的电磁功率表达式的变化情况,可计算待评估电力功角加速与功角最大减速面积,进而得到待评估电力系统的功角裕度,作为衡量待评估电力暂态功角稳定性的指标,用于定量计算抽蓄机组接入对待评估电力系统暂态功角稳定性的影响。As described above, the method provided by the present disclosure for evaluating the transient power angle stability of the power system is based on the dynamic characteristics analysis of the pumped storage unit, and the pumped storage unit is incorporated into the equal area criterion analysis framework to study the impact of the access of the pumped storage unit on the transient power angle stability of the power system to be evaluated. Specifically, the present disclosure analyzes the dynamic characteristics of the fixed-speed and variable-speed pumped storage units under the current working conditions, and then obtains their equivalent circuits; and connects them with the equivalent circuits of the remaining components of the power system to be evaluated, so as to obtain the equivalent circuit of the current integrated system and the corresponding electromagnetic power expression (which will be described in subsequent embodiments). Furthermore, by analyzing the changes in the electromagnetic power expression before and after the power fault to be evaluated, the power angle acceleration and the maximum power angle deceleration area of the power to be evaluated can be calculated, and then the power angle margin of the power system to be evaluated can be obtained, which is used as an indicator to measure the transient power angle stability of the power to be evaluated, and is used to quantitatively calculate the impact of the access of the pumped storage unit on the transient power angle stability of the power system to be evaluated.

综上,本公开上述实施例提供的用于评估电力系统暂态功角稳定性的方法,可以充分考虑不同类型抽蓄机组、不同运行工况对系统暂态功角稳定性的影响。并且由于采用的“等面积准则”具有计算简洁和机理明确的有点,因此,本公开实施例的方法不仅计算负担小、求解结果物理解释明确且为定量结果,而且适用范围广且易于实施。In summary, the method for evaluating the transient power angle stability of the power system provided by the above embodiment of the present disclosure can fully consider the influence of different types of pumped storage units and different operating conditions on the transient power angle stability of the system. And because the adopted "equal area criterion" has the advantages of simple calculation and clear mechanism, the method of the embodiment of the present disclosure not only has a small calculation burden, the physical interpretation of the solution result is clear and quantitative, but also has a wide range of application and is easy to implement.

验证实施例:Verification example:

通过一个含工作于不同工况的定速抽蓄机组的算例说明本发明具体实施方式。经过等效变换,该算例可以转换为图5所示范式结构。假设系统的在正常运行时突然发生直流系统闭锁。The specific implementation of the present invention is explained by a calculation example of a constant speed pumped storage unit operating under different working conditions. After equivalent transformation, the calculation example can be converted into the exemplary structure shown in Figure 5. It is assumed that the DC system is suddenly locked during normal operation of the system.

设定系统的参数为:系统的基准容量为Sbase=100MW,电容器切除时间tc=0.1s,切除量为80%,切机时刻为t1=0.2s,切机量为60p.u.。The system parameters are set as follows: the base capacity of the system is S base = 100MW, the capacitor removal time t c = 0.1s, the removal amount is 80%, the machine cutting time is t 1 = 0.2s, and the machine cutting amount is 60p.u.

在发生直流闭锁前,根据式(5)~(7)可以得到抽蓄机组运行工况为Mode1~Model3情况下系统正常运行时的电磁功率表达式。随后,进一步分析闭锁后,电容器切除前后功率变化情况,修正自阻抗与互阻抗的模值,可以得到抽蓄机组不同运行工况下不同故障阶段的电磁功率表达式。通过分析电磁功率曲线的变化情况,可以得到系统的加速和减速面积,作为稳定性判断的依据。Before DC blocking occurs, the electromagnetic power expression of the system under normal operation when the pumped storage unit is in Mode 1 to Model 3 can be obtained according to equations (5) to (7). Subsequently, the power changes before and after the capacitor is removed after blocking are further analyzed, and the modulus values of self-impedance and mutual impedance are corrected to obtain the electromagnetic power expression of the pumped storage unit at different fault stages under different operating conditions. By analyzing the changes in the electromagnetic power curve, the acceleration and deceleration areas of the system can be obtained as a basis for stability judgment.

以抽蓄机组工作在发电工况为例,其电磁功率曲线变化情况如图9所示。参照图9,直流闭锁发生前的正常运行状态下,系统等值同步机的电磁功率曲线为在此时原动机机械功率为正常运行工作点处的功角为δ0。随后,系统发生直流闭锁,电磁功率曲线下降至发电机转子开始加速,功角增大。增大至δc时,电容器被切除,此时电磁功率曲线回升至转子继续加速,直至时刻t1=0.2s,系统切机。随后当功角到时δ2,转子开始减速,图9中的第一部分面积即为加速面积Aacc。进一步地,转子进入减速过程,直至功角到达δcr,转子速度为0,第二部分面积即为最大减速面积AdecTaking the pumped storage unit working in power generation condition as an example, the change of its electromagnetic power curve is shown in Figure 9. Referring to Figure 9, under the normal operation state before the DC lockout occurs, the electromagnetic power curve of the system equivalent synchronous machine is At this time, the mechanical power of the prime mover is The power angle at the normal operating point is δ 0 . Subsequently, the system undergoes DC blocking, and the electromagnetic power curve drops to The generator rotor begins to accelerate and the power angle increases. When it increases to δ c , the capacitor is cut off and the electromagnetic power curve rises back to The rotor continues to accelerate until the moment t 1 = 0.2s, when the system cuts off. Then, when the power angle reaches δ 2 , the rotor begins to decelerate, and the first area in FIG9 is the acceleration area A acc . Further, the rotor enters the deceleration process until the power angle reaches δ cr , the rotor speed is 0, and the second area is the maximum deceleration area A dec .

基于上述方法,根据功率曲线,并依据所述计算式(8)~(9)确定定速抽蓄机组在三种工况下系统的加速和减速面积,经计算三种工况系统均稳定,因此,可以得到三种工况的稳定裕度值,如表1所示。Based on the above method, according to the power curve and according to the calculation formulas (8) to (9), the acceleration and deceleration areas of the system of the constant speed pumped storage unit under three working conditions are determined. After calculation, the system is stable under the three working conditions. Therefore, the stability margin values of the three working conditions can be obtained, as shown in Table 1.

表1抽蓄机组不同工况下系统的暂态功角稳定裕度Table 1 Transient power angle stability margin of the system under different operating conditions of pumped storage units

从上表可以看出,当系统发生直流闭锁后,在切机量一定的前提下,抽水工况下系统的稳定裕度最高,调相工况其次,发电工况最小。这是因为,发生直流闭锁后,系统的负荷水平骤降,发电机输出有功过剩,产生较大的功率不平衡量。而由于抽水工况模式下,等值机的有功水平相对较低,不平衡量小于其余工况,因此,暂态功角稳定性相对较好,定性分析与定量计算结果相符合;从而验证了本公开实施例提供的用于用于评估电力系统暂态功角稳定性的方法的有效性。It can be seen from the above table that when the system is DC locked, under the premise of a certain amount of machine cutting, the stability margin of the system is the highest under the pumping condition, followed by the phase adjustment condition, and the lowest under the power generation condition. This is because after the DC lock occurs, the load level of the system drops sharply, the generator outputs excess active power, and a large power imbalance is generated. However, because the active power level of the equivalent machine is relatively low under the pumping mode, the imbalance is smaller than that of other conditions. Therefore, the transient power angle stability is relatively good, and the qualitative analysis is consistent with the quantitative calculation results; thereby verifying the effectiveness of the method for evaluating the transient power angle stability of the power system provided by the embodiment of the present disclosure.

下面对本公开提供的用于评估电力系统暂态功角稳定性的装置进行描述,下文描述的用于评估电力系统暂态功角稳定性的装置与上文描述的用于评估电力系统暂态功角稳定性的方法可相互对应参照。The following is a description of the device for evaluating the transient power angle stability of an electric power system provided by the present disclosure. The device for evaluating the transient power angle stability of an electric power system described below and the method for evaluating the transient power angle stability of an electric power system described above can be referenced to each other.

图10是本公开一示例性实施例提供的用于评估电力系统暂态功角稳定性的装置结构示意图。如图10所示,用于评估电力系统暂态功角稳定性的装置,包括:FIG10 is a schematic diagram of a structure of a device for evaluating the transient power angle stability of a power system provided by an exemplary embodiment of the present disclosure. As shown in FIG10 , the device for evaluating the transient power angle stability of a power system includes:

初始等效电路建构模块210,被配置为:基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型;The initial equivalent circuit construction module 210 is configured to: establish an equivalent circuit of an initial comprehensive system based on the power system to be evaluated and the pumped storage units of a preset type connected to the power system to be evaluated; wherein the power system to be evaluated includes a plurality of synchronous generator sets, a plurality of new energy power generation stations and a direct current transmission system; and the preset types of the pumped storage units include a fixed speed type and a variable speed type;

当前等效电路建构模块220,被配置为:基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路;The current equivalent circuit construction module 220 is configured to: determine the equivalent circuit of the current integrated system corresponding to the current operating condition based on the equivalent circuit of the initial integrated system and using the preset type and current operating condition of the pumped storage unit;

系统参数获取模块230,被配置为:响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;The system parameter acquisition module 230 is configured to: in response to a fault occurring in the current integrated system under the current working condition, respectively acquire parameter values of a first state parameter of the current integrated system before the fault, and parameter values of a second state parameter at different stages of fault handling;

稳定性分析模块240,被配置为:响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度,其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。The stability analysis module 240 is configured to: in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, calculate the stability margin of the power system to be evaluated, wherein the stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

图11示例了一种电子设备的实体结构示意图,如图11所示,该电子设备可以包括:处理器(processor)810、通信接口(Communications Interface)820、存储器(memory)830和通信总线840,其中,处理器810,通信接口820,存储器830通过通信总线840完成相互间的通信。处理器810可以调用存储器830中的逻辑指令,以执行用于评估电力系统暂态功角稳定性的方法,该方法包括:基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型;基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路;响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度,其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。Figure 11 illustrates a schematic diagram of the physical structure of an electronic device. As shown in Figure 11, the electronic device may include: a processor (processor) 810, a communication interface (Communications Interface) 820, a memory (memory) 830 and a communication bus 840, wherein the processor 810, the communication interface 820, and the memory 830 communicate with each other through the communication bus 840. The processor 810 can call the logic instructions in the memory 830 to execute a method for evaluating the transient power angle stability of the power system, the method comprising: establishing an equivalent circuit of an initial integrated system based on the power system to be evaluated and a pumped storage unit of a preset type connected to the power system to be evaluated; wherein the power system to be evaluated includes multiple synchronous generator sets, multiple new energy power generation stations and a direct current transmission system; the preset types of the pumped storage units include fixed speed type and variable speed type; based on the equivalent circuit of the initial integrated system, using the preset type and current operating condition of the pumped storage unit, determining the equivalent circuit of the current integrated system corresponding to the current operating condition; in response to a fault occurring in the current integrated system under the current operating condition, respectively obtaining parameter values of a first state parameter of the current integrated system before the fault and parameter values of a second state parameter at different stages of fault handling; in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter values of the first state parameter, the parameter values of the second state parameter and the equivalent circuit of the current integrated system, calculating the stability margin of the power system to be evaluated, wherein the stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

此外,上述的存储器830中的逻辑指令可以通过软件功能单元的形式实现并作为独立的产品销售或使用时,可以存储在一个计算机可读取存储介质中。基于这样的理解,本公开的技术方案本质上或者说对现有技术做出贡献的部分或者该技术方案的部分可以以软件产品的形式体现出来,该计算机软件产品存储在一个存储介质中,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行本公开各个实施例所述方法的全部或部分步骤。而前述的存储介质包括:U盘、移动硬盘、只读存储器(ROM,Read-Only Memory)、随机存取存储器(RAM,Random Access Memory)、磁碟或者光盘等各种可以存储程序代码的介质。In addition, the logic instructions in the above-mentioned memory 830 can be implemented in the form of a software functional unit and can be stored in a computer-readable storage medium when it is sold or used as an independent product. Based on such an understanding, the technical solution of the present disclosure is essentially or the part that contributes to the prior art or the part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including a number of instructions to enable a computer device (which can be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present disclosure. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM, Read-Only Memory), random access memory (RAM, Random Access Memory), disk or optical disk and other media that can store program codes.

另一方面,本公开还提供一种计算机程序产品,所述计算机程序产品包括计算机程序,计算机程序可存储在非暂态计算机可读存储介质上,所述计算机程序被处理器执行时,计算机能够执行上述各方法所提供的用于评估电力系统暂态功角稳定性的方法,该方法包括:基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型;基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路;响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度,其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。On the other hand, the present disclosure also provides a computer program product, which includes a computer program, which can be stored on a non-transitory computer-readable storage medium. When the computer program is executed by a processor, the computer can execute the method provided by the above methods for evaluating the transient power angle stability of the power system, the method including: based on the power system to be evaluated and the pumped storage unit of a preset type connected to the power system to be evaluated, establishing an equivalent circuit of an initial comprehensive system; wherein the power system to be evaluated includes multiple synchronous generator sets, multiple new energy power generation stations and a direct current transmission system; the preset types of the pumped storage unit include fixed speed type and variable speed type; based on the initial comprehensive system The equivalent circuit of the pumped storage unit is determined by using the preset type and current operating condition of the pumped storage unit to determine the equivalent circuit of the current integrated system corresponding to the current operating condition; in response to a fault in the current integrated system under the current operating condition, the parameter values of the first state parameters of the current integrated system before the fault and the parameter values of the second state parameters at different stages of fault handling are respectively obtained; in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter values of the first state parameters, the parameter values of the second state parameters and the equivalent circuit of the current integrated system, the stability margin of the power system to be evaluated is calculated, wherein the stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

又一方面,本公开还提供一种非暂态计算机可读存储介质,其上存储有计算机程序,该计算机程序被处理器执行时实现以执行上述各方法提供的用于评估电力系统暂态功角稳定性的方法,该方法包括:基于待评估电力系统以及与所述待评估电力系统连接的预设类型的抽蓄机组,建立初始综合系统的等效电路;其中,所述待评估电力系统包括多个同步发电机组、多个新能源发电场站以及直流输电系统;所述抽蓄机组的预设类型包括定速型和变速型;基于所述初始综合系统的等效电路,利用所述抽蓄机组的预设类型和当前工况,确定对应所述当前工况的当前综合系统的等效电路;响应于在所述当前工况下所述当前综合系统出现故障,分别获取所述当前综合系统在故障前的第一状态参数的参数值、以及故障处置不同阶段的第二状态参数的参数值;响应于在基于所述第一状态参数的参数值、第二状态参数的参数值以及所述当前综合系统的等效电路,确定所述待评估电力系统暂态功角稳定的情况下,计算所述待评估电力系统的稳定裕度,其中,所述稳定裕度用于表征所述待评估电力系统暂态功角稳定性。On the other hand, the present disclosure also provides a non-transitory computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, is implemented to execute the method for evaluating the transient power angle stability of an electric power system provided by the above-mentioned methods, the method comprising: establishing an equivalent circuit of an initial comprehensive system based on the electric power system to be evaluated and a pumped-storage unit of a preset type connected to the electric power system to be evaluated; wherein the electric power system to be evaluated comprises a plurality of synchronous generating units, a plurality of new energy power generation stations and a direct current transmission system; the preset types of the pumped-storage units comprise a fixed speed type and a variable speed type; based on the equivalent circuit of the initial comprehensive system, using the pumped-storage unit According to the preset type and current operating condition, an equivalent circuit of the current integrated system corresponding to the current operating condition is determined; in response to a fault in the current integrated system under the current operating condition, parameter values of a first state parameter of the current integrated system before the fault and parameter values of a second state parameter at different stages of fault handling are respectively obtained; in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, a stability margin of the power system to be evaluated is calculated, wherein the stability margin is used to characterize the transient power angle stability of the power system to be evaluated.

以上所描述的装置实施例仅仅是示意性的,其中所述作为分离部件说明的单元可以是或者也可以不是物理上分开的,作为单元显示的部件可以是或者也可以不是物理单元,即可以位于一个地方,或者也可以分布到多个网络单元上。可以根据实际的需要选择其中的部分或者全部模块来实现本实施例方案的目的。本领域普通技术人员在不付出创造性的劳动的情况下,即可以理解并实施。The device embodiments described above are merely illustrative, wherein the units described as separate components may or may not be physically separated, and the components displayed as units may or may not be physical units, that is, they may be located in one place, or they may be distributed on multiple network units. Some or all of the modules may be selected according to actual needs to achieve the purpose of the scheme of this embodiment. Those of ordinary skill in the art may understand and implement it without creative work.

通过以上的实施方式的描述,本领域的技术人员可以清楚地了解到各实施方式可借助软件加必需的通用硬件平台的方式来实现,当然也可以通过硬件。基于这样的理解,上述技术方案本质上或者说对现有技术做出贡献的部分可以以软件产品的形式体现出来,该计算机软件产品可以存储在计算机可读存储介质中,如ROM/RAM、磁碟、光盘等,包括若干指令用以使得一台计算机设备(可以是个人计算机,服务器,或者网络设备等)执行各个实施例或者实施例的某些部分所述的方法。Through the description of the above implementation methods, those skilled in the art can clearly understand that each implementation method can be implemented by means of software plus a necessary general hardware platform, and of course, by hardware. Based on this understanding, the above technical solution is essentially or the part that contributes to the prior art can be embodied in the form of a software product, which can be stored in a computer-readable storage medium, such as ROM/RAM, a disk, an optical disk, etc., including a number of instructions for a computer device (which can be a personal computer, a server, or a network device, etc.) to execute the methods described in each embodiment or some parts of the embodiments.

最后应说明的是:以上实施例仅用以说明本公开的技术方案,而非对其限制;尽管参照前述实施例对本公开进行了详细的说明,本领域的普通技术人员应当理解:其依然可以对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换;而这些修改或者替换,并不使相应技术方案的本质脱离本公开各实施例技术方案的精神和范围。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present disclosure, rather than to limit them. Although the present disclosure has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not deviate the essence of the corresponding technical solutions from the spirit and scope of the technical solutions of the embodiments of the present disclosure.

Claims (10)

1. A method for assessing transient power angle stability of an electrical power system, comprising:
Establishing an equivalent circuit of an initial integrated system based on a power system to be evaluated and a preset type pumping and accumulating unit connected with the power system to be evaluated; the power system to be evaluated comprises a plurality of synchronous generator sets, a plurality of new energy power generation stations and a direct current transmission system; the preset types of the pumping and accumulating unit comprise a constant speed type and a variable speed type;
Based on the equivalent circuit of the initial comprehensive system, determining the equivalent circuit of the current comprehensive system corresponding to the current working condition by utilizing the preset type and the current working condition of the pumping and accumulating unit;
Responding to the occurrence of a fault of the current comprehensive system under the current working condition, and respectively acquiring the parameter value of a first state parameter of the current comprehensive system before the fault and the parameter value of a second state parameter of different stages of fault treatment;
And in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, calculating a stability margin of the power system to be evaluated, wherein the stability margin is used for representing the transient power angle stability of the power system to be evaluated.
2. The method according to claim 1, wherein the establishing an equivalent circuit of the initial integrated system based on the electric power system to be evaluated and a preset type of pumping and accumulating unit connected to the electric power system to be evaluated comprises:
Establishing a first power external characteristic equivalent circuit corresponding to each working condition by utilizing the dynamic characteristics of the preset type pumping and accumulating unit under multiple working conditions;
Performing single-machine equivalence on a plurality of synchronous generator sets in the power system to be evaluated, and performing node elimination by using a preset network node elimination rule to obtain an equivalent synchronous generator set;
Performing station aggregation on a plurality of new energy power generation stations in the power system to be evaluated, and executing node elimination by using a preset network node elimination rule to obtain an aggregated new energy power generation station;
determining a second external characteristic equivalent circuit corresponding to the new energy aggregation power generation station and a third external characteristic equivalent circuit corresponding to the direct current transmission system by utilizing a preset equivalent circuit construction rule;
and establishing an equivalent circuit of the initial comprehensive system by using the first external characteristic equivalent circuit, the second external characteristic equivalent circuit, the third external characteristic equivalent circuit and the equivalent synchronous generator set.
3. The method of claim 2, wherein the step of determining the position of the substrate comprises,
Under the condition that the preset type is constant speed, the multiple working conditions comprise a power generation working condition, a water pumping working condition and a phase modulation working condition;
under the condition that the preset type is variable speed, the multiple working conditions comprise a power generation working condition, a water pumping working condition and a phase modulation working condition.
4. The method according to claim 2, wherein the determining the equivalent circuit of the current integrated system corresponding to the current operating condition using the preset type of the pumping and accumulating unit and the current operating condition based on the equivalent circuit of the initial integrated system includes:
Responding to the preset type of the pumping and accumulating unit as a constant speed type and the current working condition as a power generation working condition, combining the equivalent circuit corresponding to the pumping and accumulating unit with the circuit of the equivalent synchronous generator unit in the equivalent circuit of the initial comprehensive system to obtain the equivalent circuit of the current comprehensive system corresponding to the current working condition;
Responding to the preset type of the pumping and accumulating unit as a constant speed type and the current working condition as a pumping working condition, merging the equivalent circuit corresponding to the pumping and accumulating unit with the circuit of the equivalent synchronous generator unit in the equivalent circuit of the initial comprehensive system to obtain the equivalent circuit of the current comprehensive system corresponding to the current working condition;
responding to the preset type of the pumping and accumulating unit as a constant speed type and the current working condition as a phase modulation working condition, and adjusting the equivalent circuit corresponding to the pumping and accumulating unit into a parallel reactance in the equivalent circuit of the initial comprehensive system to obtain the equivalent circuit of the current comprehensive system corresponding to the current working condition;
Responding to the fact that the preset type of the pumping and accumulating unit is variable speed type and the current working condition is power generation working condition, adjusting an equivalent circuit corresponding to the pumping and accumulating unit in an equivalent circuit of the initial comprehensive system to be parallel resistance to obtain an equivalent circuit of the current comprehensive system corresponding to the current working condition;
responding to the fact that the preset type of the pumping and accumulating unit is variable speed type and the current working condition is pumping working condition, adjusting an equivalent circuit corresponding to the pumping and accumulating unit in an equivalent circuit of the initial comprehensive system to be parallel resistance to obtain an equivalent circuit of the current comprehensive system corresponding to the current working condition;
And in response to the preset type of the pumping and accumulating unit being a variable speed type and the current working condition being a phase modulation working condition, adjusting an equivalent circuit corresponding to the pumping and accumulating unit in an equivalent circuit of the initial integrated system to be a parallel reactance to obtain an equivalent circuit of the current integrated system corresponding to the current working condition.
5. The method of claim 1, wherein the first state parameter, the second parameter, comprise:
The method comprises the steps of combining a secondary transient potential of an equivalent synchronous generator set in an equivalent circuit of a current comprehensive system, a power characteristic equivalent voltage of a direct current transmission system, a complementary angle of a self-impedance angle, a complementary angle of a mutual impedance angle, an actual power angle of a rotor of a pumping and accumulating unit, a sum of a secondary transient reactance of a generator and an output transformer reactance, an equivalent resistance of a power characteristic of a power station of a new energy power generation station, an equivalent reactance of a power characteristic of the direct current transmission system, an equivalent resistance of a line reactance, a reactance of a shunt capacitor, an active output of the power station of the new energy power generation station, an active power of the direct current transmission system, reactive power of a shunt capacitor, an equivalent output reactance of the equivalent synchronous generator set and the equivalent circuit of the pumping and accumulating unit under the current working condition, and absorbing or generating active power and reactive power of the pumping and accumulating unit under the current working condition.
6. The method of claim 1, wherein calculating a stability margin of the power system under evaluation in response to determining that the power system under evaluation is stable in terms of the parameter value of the first state parameter, the parameter value of the second state parameter, and the equivalent circuit of the current integrated system comprises:
Determining a first electromagnetic power curve of the current comprehensive system before a fault by utilizing a preset electromagnetic power calculation rule based on the parameter value of the first state parameter and an equivalent circuit of the current comprehensive system;
Responding to different fault treatment stages, and updating the equivalent circuit of the current integrated system to obtain updated equivalent circuits corresponding to the different fault treatment stages;
determining a second electromagnetic power curve of the current integrated system corresponding to different stages of fault handling by using the preset electromagnetic power calculation rule based on the parameter value of the second state parameter and the updated equivalent circuit;
Calculating the power angle acceleration area and the power angle maximum deceleration area of the current integrated system by using the first electromagnetic power curve and the second electromagnetic power curve;
And determining that the transient power angle of the power system to be evaluated is stable in response to the fact that the maximum power angle deceleration area is larger than the power angle acceleration area, and calculating the difference value between the maximum power angle deceleration area and the power angle acceleration area to obtain the stability margin.
7. An apparatus for assessing transient power angle stability of an electrical power system, comprising:
An initial equivalent circuit construction module configured to: establishing an equivalent circuit of an initial integrated system based on a power system to be evaluated and a preset type pumping and accumulating unit connected with the power system to be evaluated; the power system to be evaluated comprises a plurality of synchronous generator sets, a plurality of new energy power generation stations and a direct current transmission system; the preset types of the pumping and accumulating unit comprise a constant speed type and a variable speed type;
the current equivalent circuit construction module is configured to: based on the equivalent circuit of the initial comprehensive system, determining the equivalent circuit of the current comprehensive system corresponding to the current working condition by utilizing the preset type and the current working condition of the pumping and accumulating unit;
A system parameter acquisition module configured to: responding to the occurrence of a fault of the current comprehensive system under the current working condition, and respectively acquiring the parameter value of a first state parameter of the current comprehensive system before the fault and the parameter value of a second state parameter of different stages of fault treatment;
a stability analysis module configured to: and in response to determining that the transient power angle of the power system to be evaluated is stable based on the parameter value of the first state parameter, the parameter value of the second state parameter and the equivalent circuit of the current integrated system, calculating a stability margin of the power system to be evaluated, wherein the stability margin is used for representing the transient power angle stability of the power system to be evaluated.
8. An electronic device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, wherein the processor implements the method for assessing transient power angle stability of a power system according to any one of claims 1 to 6 when the program is executed by the processor.
9. A non-transitory computer readable storage medium having stored thereon a computer program, which when executed by a processor implements a method for assessing transient power angle stability of an electrical power system according to any of claims 1 to 6.
10. A computer program product comprising a computer program, characterized in that the computer program, when executed by a processor, implements a method for assessing transient power angle stability of an electrical power system according to any one of claims 1 to 6.
CN202410662128.8A 2024-05-27 2024-05-27 Method, device and apparatus for evaluating transient power angle stability of power system Pending CN118572770A (en)

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