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CN106772152A - A kind of measuring method of transformer core remanent magnetism - Google Patents

A kind of measuring method of transformer core remanent magnetism Download PDF

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CN106772152A
CN106772152A CN201611050411.7A CN201611050411A CN106772152A CN 106772152 A CN106772152 A CN 106772152A CN 201611050411 A CN201611050411 A CN 201611050411A CN 106772152 A CN106772152 A CN 106772152A
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iron core
transformer
component
magnetization curve
load current
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CN106772152B (en
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赵丹丹
傅晨钊
林敏�
李红雷
黄华
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State Grid Shanghai Electric Power Co Ltd
East China Power Test and Research Institute Co Ltd
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State Grid Shanghai Electric Power Co Ltd
East China Power Test and Research Institute Co Ltd
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R33/00Arrangements or instruments for measuring magnetic variables
    • G01R33/12Measuring magnetic properties of articles or specimens of solids or fluids

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Abstract

本发明涉及一种变压器铁芯剩磁的测量方法,该方法包括以下步骤:1)获取变压器铁芯的磁化曲线,该磁化曲线揭示空载电流的直流分量与铁芯剩磁的关系;2)在变压器绕组上加载380V交流试验电压,测量获得空载电流;3)获得所述空载电流的直流分量;4)根据所述磁化曲线和直流分量获得铁芯剩磁。与现有技术相比,本发明具有简便可行等优点,能定量测定主变铁芯的剩磁量,指导主变铁芯剩磁的消磁方案的制定,评估消磁效果,为主变试验和运行提供技术支撑。

The invention relates to a method for measuring residual magnetism of a transformer iron core. The method comprises the following steps: 1) acquiring a magnetization curve of a transformer iron core, the magnetization curve revealing the relationship between a DC component of no-load current and the residual magnetism of the iron core; 2) 380V AC test voltage is loaded on the transformer winding, and the no-load current is obtained by measurement; 3) The DC component of the no-load current is obtained; 4) The iron core remanence is obtained according to the magnetization curve and the DC component. Compared with the prior art, the present invention has the advantages of being simple and feasible, and can quantitatively measure the residual magnetism of the main transformer iron core, guide the formulation of the degaussing scheme of the main transformer iron core residual magnetism, evaluate the degaussing effect, and test and run the main transformer. Provide technical support.

Description

一种变压器铁芯剩磁的测量方法A Measuring Method of Transformer Core Residual Magnetism

技术领域technical field

本发明涉及变压器试验及运行领域,尤其是涉及一种变压器铁芯剩磁的测量方法。The invention relates to the field of transformer test and operation, in particular to a method for measuring residual magnetism of transformer iron core.

背景技术Background technique

变压器依靠电磁感应作用运行,以磁场作为耦合场。变压器铁芯一般选用磁导率较高的铁磁材料,比如硅钢片。铁磁材料的磁导率是非线性的,其数值随着磁场强度的变化而变化。铁磁材料之所以有高导磁性能,是由于铁磁材料内部存在着很多很小、有确定磁极性且具有很强磁化强度的磁畴,如图1所示。在外界磁场作用下,磁畴沿外磁场方向重新有规则排列,从而实际产生的磁场要比非铁磁材料中的磁场大得多。Transformers operate by electromagnetic induction, using magnetic fields as coupling fields. Transformer cores generally use ferromagnetic materials with high magnetic permeability, such as silicon steel sheets. The magnetic permeability of ferromagnetic materials is nonlinear, and its value changes with the change of magnetic field strength. The reason why ferromagnetic materials have high magnetic permeability is that there are many small magnetic domains with definite magnetic polarity and strong magnetization inside ferromagnetic materials, as shown in Figure 1. Under the action of an external magnetic field, the magnetic domains are rearranged regularly along the direction of the external magnetic field, so that the actual magnetic field generated is much larger than that in non-ferromagnetic materials.

磁畴的极化需要经历一个过程,因此在磁化过程中,铁磁材料中的磁感应强度B的变化滞后于外磁场强度H的变化,即磁滞现象。在交变外磁场下,铁芯磁感应强度B随着外磁场强度H的变化曲线成为磁滞回线。用不同的Bm值可测出不同的磁滞回线,将所有磁滞回线在第I象限的顶点连接起来,得到的磁化曲线叫做基本磁化曲线,如图2所示。由于大多数铁磁材料的磁滞回线都很窄,因此,在工程应用中,可用基本磁化曲线代替磁滞回线解决问题,其误差为工程所允许。The polarization of the magnetic domain needs to go through a process. Therefore, during the magnetization process, the change of the magnetic induction B in the ferromagnetic material lags behind the change of the external magnetic field H, that is, hysteresis. Under the alternating external magnetic field, the variation curve of the core magnetic induction B with the external magnetic field H becomes a hysteresis loop. Different hysteresis loops can be measured with different Bm values, and all the hysteresis loops are connected at the vertices of the first quadrant, and the obtained magnetization curve is called the basic magnetization curve, as shown in Figure 2. Since the hysteresis loop of most ferromagnetic materials is very narrow, in engineering applications, the basic magnetization curve can be used instead of the hysteresis loop to solve the problem, and the error is allowed by engineering.

变压器切断电源以后,在铁芯中保留的磁链称为剩磁。剩磁会增大主变合闸时的励磁涌流,增大励磁电流中的谐波,增加变压器功耗,还可能引起继电保护误动作,对主变的运行造成不利影响,同时,剩磁还可能使后续试验结果异常。After the transformer cuts off the power supply, the flux linkage retained in the iron core is called residual magnetism. Residual magnetism will increase the excitation inrush current when the main transformer is switched on, increase the harmonics in the excitation current, increase the power consumption of the transformer, and may also cause relay protection malfunctions, which will adversely affect the operation of the main transformer. At the same time, the residual magnetism It may also make subsequent test results abnormal.

剩磁的产生途径主要是直流电阻试验,其剩磁的多少取决于变压器绕组通过的直流电流强度和时间。在变压器直阻试验中,为提高测量精度、缩短测量时间,通常用大电流测试仪器,超过励磁电流,使铁芯饱和,会产生严重剩磁。另外,在空载变压器分闸时也会产生剩磁,但目前主变铁芯均采用软磁材料,剩磁量较少,相应危害也比较小。The main way to generate residual magnetism is the DC resistance test, and the amount of residual magnetism depends on the intensity and time of the DC current passing through the transformer winding. In the transformer direct resistance test, in order to improve the measurement accuracy and shorten the measurement time, a large current test instrument is usually used to exceed the excitation current, saturate the iron core, and cause serious residual magnetism. In addition, residual magnetism will also be generated when the no-load transformer is switched off, but at present, the iron core of the main transformer is made of soft magnetic material, and the residual magnetism is small, and the corresponding damage is relatively small.

为了保证后续试验的准确和主变运行安全,要求做过直流电阻试验之后对主变进行消磁,但消磁效果无法检查。后续低电压空载试验中,常出现试验结果常与出厂试验不一致的情况,不能真实反映变压器内部状态。需要现场进行二次消磁,增加试验工作量和工作时间。另外,在超高压主变合闸试验中,也出现过由于铁芯剩磁的影响,导致主变励磁涌流过大,触发主变重瓦斯保护动作的事情发生。In order to ensure the accuracy of the follow-up test and the safe operation of the main transformer, it is required to demagnetize the main transformer after the DC resistance test, but the degaussing effect cannot be checked. In the follow-up low-voltage no-load test, the test results are often inconsistent with the factory test, which cannot truly reflect the internal state of the transformer. Secondary degaussing is required on site, increasing the test workload and working hours. In addition, during the closing test of the ultra-high voltage main transformer, due to the influence of the residual magnetism of the iron core, the excitation inrush current of the main transformer was too large, which triggered the heavy gas protection action of the main transformer.

综上可知,主变剩磁量的测量技术对主变试验和安全运行有着重要意义。综合目前国内外研究现状,目前对于主变剩磁的研究集中消磁技术,对于剩磁的测量涉及较少。In summary, the measurement technology of the main transformer residual magnetism is of great significance to the main transformer test and safe operation. Based on the current research status at home and abroad, the current research on the remanence of the main transformer focuses on the demagnetization technology, and the measurement of the remanence is less involved.

发明内容Contents of the invention

本发明的目的就是为了克服上述现有技术存在的缺陷而提供一种简便可行的变压器铁芯剩磁的测量方法。The object of the present invention is to provide a simple and feasible method for measuring the residual magnetism of the transformer iron core in order to overcome the above-mentioned defects in the prior art.

本发明的目的可以通过以下技术方案来实现:The purpose of the present invention can be achieved through the following technical solutions:

一种变压器铁芯剩磁的测量方法,该方法包括以下步骤:A method for measuring residual magnetism of a transformer core, the method comprising the following steps:

1)获取变压器铁芯的磁化曲线,该磁化曲线揭示空载电流的直流分量与铁芯剩磁的关系;1) Obtain the magnetization curve of the transformer iron core, which reveals the relationship between the DC component of the no-load current and the remanence of the iron core;

2)在变压器绕组上加载380V交流试验电压,测量获得空载电流;2) Load the 380V AC test voltage on the transformer winding, and measure the no-load current;

3)获得所述空载电流的直流分量;3) obtaining the DC component of the no-load current;

4)根据所述磁化曲线和直流分量获得铁芯剩磁。4) Obtain the remanent magnetization of the iron core according to the magnetization curve and the DC component.

所述变压器铁芯的磁化曲线由主变空载特性曲线转换而成。The magnetization curve of the transformer core is converted from the no-load characteristic curve of the main transformer.

将主变空载特性曲线转换为变压器铁芯的磁化曲线时,设定如下假设:When converting the no-load characteristic curve of the main transformer into the magnetization curve of the transformer core, the following assumptions are set:

a)忽略铁芯中的磁滞和涡流损耗;a) Neglect hysteresis and eddy current losses in the iron core;

b)忽略绕组电阻;b) Neglect the winding resistance;

c)逐点形成磁化曲线。c) A magnetization curve is formed point by point.

所述形成磁化曲线过程中,通过梯形积分法计算磁化曲线中各点的电流值。In the process of forming the magnetization curve, the current value of each point in the magnetization curve is calculated by the trapezoidal integral method.

所述步骤3)中,通过对所述空载电流进行FFT分解,获得直流分量,并通过以下公式获得直流分量标幺值:In the step 3), the DC component is obtained by performing FFT decomposition on the no-load current, and the per unit value of the DC component is obtained by the following formula:

式中,Idc为实测的空载电流的直流分量,为直流分量标幺值,I0为主变的额定电流的有效值。In the formula, I dc is the DC component of the measured no-load current, is the per unit value of the DC component, and I 0 is the effective value of the rated current of the main transformer.

与现有技术相比,本发明具有以下优点:Compared with the prior art, the present invention has the following advantages:

(1)本发明通过研究空载电流与铁芯剩磁的关系,提出简便可行的变压器铁芯剩磁的测量方法。(1) The present invention proposes a simple and feasible method for measuring the residual magnetism of the transformer iron core by studying the relationship between the no-load current and the residual magnetism of the iron core.

(2)本发明可以定量测定主变铁芯的剩磁量,以指导主变铁芯剩磁的消磁方案的制定,评估消磁效果,为主变试验和运行提供技术支撑。(2) The present invention can quantitatively measure the residual magnetism of the main transformer iron core, to guide the formulation of the degaussing scheme of the main transformer iron core residual magnetism, evaluate the degaussing effect, and provide technical support for the main transformer test and operation.

(3)本发明可以对铁芯剩磁量进行有效测量,方便消磁效果的检查,从而提高主变运行的安全性。(3) The present invention can effectively measure the residual magnetism of the iron core, facilitate the inspection of the degaussing effect, thereby improving the safety of the main transformer operation.

附图说明Description of drawings

图1为铁磁材料中的磁畴示意图,其中,(1a)为磁化前示意图,(1b)为完全磁化后示意图;Fig. 1 is a schematic diagram of a magnetic domain in a ferromagnetic material, wherein (1a) is a schematic diagram before magnetization, and (1b) is a schematic diagram after complete magnetization;

图2为铁磁材料中的磁滞回线和基本磁化曲线,其中,(2a)为磁滞回线,(2b)基本磁化曲线;Fig. 2 is hysteresis loop and basic magnetization curve in ferromagnetic material, wherein, (2a) is hysteresis loop, (2b) basic magnetization curve;

图3为铁芯磁化曲线示意图;Figure 3 is a schematic diagram of the magnetization curve of the iron core;

图4为有剩磁情况下空载电流示意图;Figure 4 is a schematic diagram of no-load current in the case of residual magnetism;

图5为铁芯磁化曲线与空载电流直流分量和剩磁曲线的关系比较示意图;Figure 5 is a schematic diagram of the relationship between the magnetization curve of the iron core and the DC component of the no-load current and the residual magnetization curve;

图6为本发明的流程示意图;Fig. 6 is a schematic flow chart of the present invention;

图7为小电压下变压器空载电流波形示意图,其中,(7a)为Br=-25(低压非线性区)时的波形图,(7b)为Br=-100(低压非线性区)时的波形图,(7c)为Br=-495.17(低压非线性区)时的波形图。Figure 7 is a schematic diagram of the no-load current waveform of the transformer under small voltage, wherein (7a) is the waveform diagram when Br=-25 (low-voltage nonlinear region), and (7b) is the waveform when Br=-100 (low-voltage nonlinear region). Waveform diagram, (7c) is the waveform diagram when Br=-495.17 (low-voltage nonlinear region).

具体实施方式detailed description

下面结合附图和具体实施例对本发明进行详细说明。本实施例以本发明技术方案为前提进行实施,给出了详细的实施方式和具体的操作过程,但本发明的保护范围不限于下述的实施例。The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments. This embodiment is carried out on the premise of the technical solution of the present invention, and detailed implementation and specific operation process are given, but the protection scope of the present invention is not limited to the following embodiments.

变压器典型的基本磁化曲线如图3所示,可分为三部分:低压非线性区、线性区、高压非线性区。在没有剩磁情况下,现场开展低电压空载试验时,铁芯多工作在低压非线性区。若铁芯中有剩磁,在绕组上加载低电压的试验电压,铁芯中的磁感应强度与剩余磁感应强度叠加,铁芯中的磁感应强度就会出现偏置,相应的,空载电流也会出现直流偏置,如图4所示。因此,空载电流中的直流分量是铁芯中剩磁量的直接反应,测量小电压下的空载电流,可间接测量铁芯剩磁。The typical basic magnetization curve of a transformer is shown in Figure 3, which can be divided into three parts: low-voltage nonlinear region, linear region, and high-voltage nonlinear region. In the absence of residual magnetism, when the low-voltage no-load test is carried out on site, the iron core mostly works in the low-voltage nonlinear region. If there is residual magnetism in the iron core, a low-voltage test voltage is applied to the winding, and the magnetic induction in the iron core and the residual magnetic induction are superimposed, and the magnetic induction in the iron core will be biased, correspondingly, the no-load current will also A dc bias occurs, as shown in Figure 4. Therefore, the DC component in the no-load current is the direct response of the residual magnetism in the iron core. Measuring the no-load current under low voltage can indirectly measure the residual magnetism of the iron core.

从原理上,小电压小的空载电流中的直流分量与铁芯剩磁量遵守该变压器的基本磁化曲线约束,即铁芯剩磁量与空载电流中的直流分量是一一对应的。In principle, the DC component in the small voltage and small no-load current and the residual magnetization of the iron core comply with the basic magnetization curve constraints of the transformer, that is, the residual magnetization of the iron core and the DC component in the no-load current are in one-to-one correspondence.

为验证这一对应关系,以某110kV主变绕组为例,应用EMTP建立仿真模型,在铁芯上加载380V正弦电压,计算在不同铁芯剩磁量下的空载电流,并应用傅里叶分析,计算出空载电流中的直流分量。计算结果如表1-2所示,表中,电流的基准值为主变额定电压下的空载电流值(1.78A),磁通的基准值为额定电压下的磁通量(495.17Wb)。铁芯中磁感应强度分别在低压非线性区、线性区以及高压非线性区时,空载电流波形分别如图5所示。In order to verify this correspondence, take a 110kV main transformer winding as an example, apply EMTP to establish a simulation model, load a 380V sinusoidal voltage on the iron core, calculate the no-load current under different iron core remanence, and apply Fourier Analyze and calculate the DC component in the no-load current. The calculation results are shown in Table 1-2. In the table, the reference value of the current is the no-load current value (1.78A) under the rated voltage of the main transformer, and the reference value of the magnetic flux is the magnetic flux under the rated voltage (495.17Wb). When the magnetic induction in the iron core is in the low-voltage nonlinear region, the linear region and the high-voltage nonlinear region, the no-load current waveforms are shown in Figure 5 respectively.

可见,小电压下的空载电流中的直流分量与铁芯剩磁量的对应关于与该变压器的基本磁化曲线基本一致。It can be seen that the correspondence between the DC component in the no-load current under small voltage and the residual magnetism of the iron core is basically consistent with the basic magnetization curve of the transformer.

实际上,试验及运行人员只能从变压器出厂试验报告中得知主变空载特性,由于变压器的杂散电容影响,其与铁芯的励磁曲线存在一定的误差,但误差在工程允许范围内。在本发明中,应用主变空载特性曲线替代铁芯基本磁化曲线。In fact, the test and operation personnel can only know the no-load characteristics of the main transformer from the factory test report of the transformer. Due to the influence of the stray capacitance of the transformer, there is a certain error between it and the excitation curve of the iron core, but the error is within the allowable range of the project. . In the present invention, the no-load characteristic curve of the main transformer is used to replace the basic magnetization curve of the iron core.

如图6所示,本发明的变压器铁芯剩磁的测量方法包括以下步骤:As shown in Figure 6, the measuring method of transformer iron core remanence of the present invention comprises the following steps:

1)获取主变空载特性曲线,将其转换为变压器铁芯的磁化曲线,该磁化曲线揭示空载电流的直流分量与铁芯剩磁的关系;1) Obtain the no-load characteristic curve of the main transformer and convert it into the magnetization curve of the transformer core, which reveals the relationship between the DC component of the no-load current and the remanence of the iron core;

2)在变压器绕组上加载380V交流试验电压,测量获得空载电流;2) Load the 380V AC test voltage on the transformer winding, and measure the no-load current;

3)通过对所述空载电流进行FFT分解,获得直流分量;3) obtaining a DC component by performing FFT decomposition on the no-load current;

该方法中,直流分量采用标幺值形式记录,通过以下公式获取:In this method, the DC component is recorded in the form of per unit value and obtained by the following formula:

式中,Idc为实测主变空载电流的直流分量,为主变空载电流直流分量的标幺值,I0为主变的额定电流的有效值;In the formula, Idc is the DC component of the measured no-load current of the main transformer, The per unit value of the DC component of the no-load current of the main transformer, I 0 is the effective value of the rated current of the main transformer;

4)根据所述磁化曲线和直流分量获得铁芯剩磁。4) Obtain the remanent magnetization of the iron core according to the magnetization curve and the DC component.

利用小电压下的空载电流测量剩磁测量的关键在于变压器空载特性转换成基本磁化曲线的准确度。在转换过程中,做以下假设:The key to the measurement of residual magnetism by using no-load current under small voltage is the accuracy with which the no-load characteristic of the transformer is converted into the basic magnetization curve. During the conversion, the following assumptions are made:

1、忽略铁芯中的磁滞和涡流损耗;1. Neglect the hysteresis and eddy current loss in the iron core;

2、忽略绕组电阻;2. Neglect the winding resistance;

3、逐点形成磁化曲线。3. Form the magnetization curve point by point.

电力系统中的电压可看成理想电压源,即标准正弦电压,因此铁芯磁通量为:The voltage in the power system can be regarded as an ideal voltage source, that is, a standard sinusoidal voltage, so the magnetic flux of the iron core is:

(该公式中,urms、ω分别表示什么?) (In this formula, what do u rms and ω respectively represent?)

式中,urms为系统电压有效值,ω为系统电压角频率,ω=2πf,f为系统电压频率,在我国f=50Hz。In the formula, u rms is the effective value of the system voltage, ω is the angular frequency of the system voltage, ω=2πf, f is the frequency of the system voltage, f=50Hz in our country.

电流转换比较复杂,在转换过程中,选取第一个点为参考点,参考点以下部分认为是线性区域。The current conversion is more complicated. In the conversion process, the first point is selected as the reference point, and the part below the reference point is considered as the linear region.

参考点在磁化曲线中的电流值见下式The current value of the reference point in the magnetization curve is shown in the following formula

式中,irms,1为电流转换中,第一个点即参考点的电流有效值。In the formula, i rms,1 is the current effective value of the first point, that is, the reference point in the current conversion.

其余各点均递推求得。假设in为下一个待求的值,进而假设正弦磁链正好在最大值达到φn。电流曲线采用分段线性法,各已知点均已确定,只有最后一段因in未知不确定。则用积分法计算in的有效值:The rest of the points are calculated recursively. Assume that in is the next value to be found, and then assume that the sinusoidal flux linkage reaches φ n just at the maximum value. The current curve adopts the piecewise linear method, and all known points have been determined, only the last section is uncertain because in is unknown. Then use the integral method to calculate the effective value of in:

利用梯形积分法,可计算Using the trapezoidal method of integration, it is possible to calculate

式中,a、b分别为梯形积分法的常系数,可根据主变磁化曲线计算所得。In the formula, a and b are the constant coefficients of the trapezoidal integral method, which can be calculated according to the magnetization curve of the main transformer.

另有,In=irms,n Otherwise, I n =i rms,n

则可求出磁化曲线中第n点的电流值in,从而逐点形成磁化曲线。Then the current value in at the nth point in the magnetization curve can be obtained, so as to form the magnetization curve point by point.

Claims (5)

1.一种变压器铁芯剩磁的测量方法,其特征在于,该方法包括以下步骤:1. A method for measuring transformer core remanence, characterized in that the method may further comprise the steps: 1)获取变压器铁芯的磁化曲线,该磁化曲线揭示空载电流的直流分量与铁芯剩磁的关系;1) Obtain the magnetization curve of the transformer iron core, which reveals the relationship between the DC component of the no-load current and the remanence of the iron core; 2)在变压器绕组上加载380V交流试验电压,测量获得空载电流;2) Load the 380V AC test voltage on the transformer winding, and measure the no-load current; 3)获得所述空载电流的直流分量;3) obtaining the DC component of the no-load current; 4)根据所述磁化曲线和直流分量获得铁芯剩磁。4) Obtain the remanent magnetization of the iron core according to the magnetization curve and the DC component. 2.根据权利要求1所述的变压器铁芯剩磁的测量方法,其特征在于,所述变压器铁芯的磁化曲线由主变空载特性曲线转换而成。2. The method for measuring residual magnetism of a transformer iron core according to claim 1, wherein the magnetization curve of the transformer iron core is converted from the no-load characteristic curve of the main transformer. 3.根据权利要求2所述的变压器铁芯剩磁的测量方法,其特征在于,将主变空载特性曲线转换为变压器铁芯的磁化曲线时,设定如下假设:3. the measuring method of transformer iron core remanence according to claim 2 is characterized in that, when main transformer no-load characteristic curve is converted into the magnetization curve of transformer iron core, set following hypothesis: a)忽略铁芯中的磁滞和涡流损耗;a) Neglect hysteresis and eddy current losses in the iron core; b)忽略绕组电阻;b) Neglect the winding resistance; c)逐点形成磁化曲线。c) A magnetization curve is formed point by point. 4.根据权利要求3所述的变压器铁芯剩磁的测量方法,其特征在于,所述形成磁化曲线过程中,通过梯形积分法计算磁化曲线中各点的电流值。4. The method for measuring residual magnetism of a transformer iron core according to claim 3, characterized in that, in the process of forming the magnetization curve, the current value of each point in the magnetization curve is calculated by the trapezoidal integration method. 5.根据权利要求1所述的变压器铁芯剩磁的测量方法,其特征在于,所述步骤3)中,通过对所述空载电流进行FFT分解,获得直流分量,并通过以下公式获得直流分量标幺值:5. the measuring method of transformer iron core remanence according to claim 1 is characterized in that, in described step 3), by carrying out FFT decomposition to described no-load current, obtains DC component, and obtains DC by following formula Component per unit value: II dd cc ** == II dd cc II 00 式中,Idc为实测的空载电流的直流分量,为直流分量标幺值,I0为主变的额定电流的有效值。In the formula, I dc is the DC component of the measured no-load current, is the per unit value of the DC component, and I 0 is the effective value of the rated current of the main transformer.
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