WO2015035892A1 - Method for calculating transient short circuit current of dfig set - Google Patents
Method for calculating transient short circuit current of dfig set Download PDFInfo
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- WO2015035892A1 WO2015035892A1 PCT/CN2014/086047 CN2014086047W WO2015035892A1 WO 2015035892 A1 WO2015035892 A1 WO 2015035892A1 CN 2014086047 W CN2014086047 W CN 2014086047W WO 2015035892 A1 WO2015035892 A1 WO 2015035892A1
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P9/00—Arrangements for controlling electric generators for the purpose of obtaining a desired output
- H02P9/007—Control circuits for doubly fed generators
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- the invention relates to the field of wind power generation, in particular to a method for calculating transient short-circuit current of a doubly-fed asynchronous generator set.
- the Double Fed Induction Generator (DFIG) is one of the mainstream models of the current MW-class wind turbines. Since the generator stator of the doubly-fed wind turbine is directly connected to the grid, when the system has a short-circuit fault, the voltage change on the grid side will cause a large current on the rotor side through the induction between the stator and the rotor, that is, a large rotor is generated on the rotor side. The short-circuit current will have an impact on the converter and fan of the wind turbine. In addition, the protection setting of the wind turbine needs to consider the influence of the short-circuit current of the wind turbine. Therefore, quantitative calculation of the short-circuit current of the doubly-fed fan is of great significance for the selection of the doubly-fed fan equipment and the setting of the protection settings.
- DFIG Double Fed Induction Generator
- the research results of the short-circuit current of the doubly-fed fan are mostly concentrated on the three-phase short circuit at the machine end, and the stator and rotor transient currents when the terminal voltage drops to 0.
- the analysis methods are mostly mathematical analytical methods based on flux linkage analysis. There is less analysis of the residual voltage after the three-phase voltage drop; in addition, the analysis of the CrowBar input situation assumes that the CrowBar is immediately invested in the moment of the failure, and the CrowBar input strategy is considered in the transient analysis. Few.
- the Chinese patent application with the publication number 102867085A is the closest prior art of the present invention, which discloses a short-circuit current calculation method for a power system including a doubly-fed wind turbine, in which the attenuation of the flux linkage in the transient process is analyzed.
- the calculation result is obtained by the relationship between the flux linkage and the current, and the actual input mechanism of the protection is not considered in the calculation process, and the transient characteristics of the low voltage crossing process of the wind turbine under the protection of the crowbar circuit cannot be obtained.
- the embodiment of the invention provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, which is used for solving the technical problem that the transient short-circuit current of the doubly-fed asynchronous generator set cannot be accurately calculated in the prior art.
- Embodiments of the present invention provide a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, where the method includes:
- the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed, and the first stator transient current when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained;
- the transient equivalent circuit of the doubly-fed asynchronous generator set is corrected, and the second stator transient state of the double-fed asynchronous generator set voltage drop is obtained after the correction is obtained.
- the method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set wherein the method further comprises: calculating, according to the first stator transient current and the second stator transient current, when the crowbar circuit is input delayed The doubly-fed asynchronous generator set transient short-circuit current.
- the above method for calculating the transient short-circuit current of the doubly-fed asynchronous generator set wherein the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed: the stator transient state after the grid voltage deep drop fault occurs The change of current is the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set.
- the method for calculating a transient short-circuit current of the doubly-fed asynchronous generator set includes:
- stator-rotor voltage equation (1) and the stator-coil flux equation (2) of the doubly-fed asynchronous generator set vector in the synchronous speed rotation dq coordinate system are as follows:
- u s is the stator voltage vector
- u r is the rotor voltage vector
- R s is the stator resistance
- R r is the rotor resistance
- i s is the stator current vector
- i r is the rotor current vector
- ⁇ s is the stator flux vector
- ⁇ r is the rotor flux vector
- ⁇ e is the synchronous angular velocity
- L s ⁇ is the stator leakage inductance
- L r ⁇ is the rotor leakage inductance
- L m is the stator and rotor mutual inductance
- L s is the stator inductance
- L r is the rotor inductance
- the above method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, wherein analyzing the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set includes:
- Equation (9) is:
- the method for calculating the transient short-circuit current of the doubly-fed asynchronous generator set wherein the method further comprises: obtaining the first stator transient current i when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained according to formula (10) s :
- cos ( ⁇ s t ⁇ ) is a periodic component
- t ⁇ t
- ⁇ s t ⁇ ' ⁇ s t ⁇ + ⁇
- T r is the decay time constant and rotor flux
- the charging time constant, T s is the stator side decay time constant
- the coefficient k s L m /L s
- k r L m /L r .
- the above-mentioned calculation method of transient short-circuit current of the doubly-fed asynchronous generator set, wherein the second stator transient current when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained under the input condition of the crowbar circuit includes:
- R cb is the crowbar circuit resistance, the rotor side damping time constant and the charging time constant is corrected to
- the above method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, wherein, according to the first stator transient current and the second stator transient current, calculating a transient short-circuit current when the crowbar circuit is input delayed comprises :
- t c is the time when the crowbar circuit is put into the circuit
- t c1 is the time correction of the crowbar circuit input to the DC component
- t c2 is the time correction of the crowbar circuit input to the AC component. Is the phase angle correction of the crowbar circuit input to the AC component;
- ⁇ is the correction of the phase angle in the first stator transient current, The phase angle correction that satisfies the boundary conditions when the crowbar circuit is input.
- the calculation method of the transient short-circuit current of the doubly-fed asynchronous generator set provided by the embodiment of the present invention is obtained by considering the conversion time of the transient equivalent circuit according to the transient current calculation process of the crowbar circuit input mechanism, and finally obtaining the conversion time of the transient equivalent circuit.
- FIG. 1 is a flow chart of a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to an embodiment of the present invention
- FIG. 2 is a schematic diagram of a transient equivalent circuit of a doubly-fed asynchronous generator set according to an embodiment of the present invention
- FIG. 3 is a schematic diagram of comparison between the calculated transient short-circuit current and the measured transient short-circuit current in the embodiment of the present invention.
- Embodiments of the present invention provide a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. As shown in FIG. 1 , the method includes:
- Step 101 Establish a transient mathematical model of the doubly-fed asynchronous generator set under the grid voltage deep drop fault, and establish a transient equivalent circuit of the doubly-fed asynchronous generator set according to the transient electrical relationship in the mathematical model;
- Step 102 analyzing a flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set, and obtaining a first stator transient current when the terminal voltage of the doubly-fed asynchronous generator set is dropped;
- the change of the stator transient current after the grid voltage deep drop fault occurs is the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set, that is, the superposition of the zero input response and the zero state response.
- Step 103 Correct the transient equivalent circuit of the doubly-fed asynchronous generator set according to the input mechanism of the crowbar circuit, and obtain the second voltage drop of the doubly-fed asynchronous generator set when the crowbar circuit is input.
- Stator transient current preferably, the correction includes correction of the stator side transient equivalent impedance and the rotor flux decay time constant.
- Step 104 Obtain a transient short-circuit current of the doubly-fed asynchronous generator set according to the second stator transient current.
- the second stator transient current is approximately equivalent to the transient short-circuit current of the doubly-fed asynchronous generator set.
- the stator side of the doubly-fed asynchronous generator set is directly connected to the power grid, the rotor side
- the dual PWM inverter is connected to the grid, and the inverter capacity is only about 1/3 of the unit capacity.
- the stator current can reach 4 to 5 times of the rated current of the unit.
- the contribution of the rotor-side inverter to the current of the machine is very small and can be neglected, so the second stator transient current is approximately equivalent to the final doubly-fed.
- Asynchronous generator set transient short circuit current since the stator side of the doubly-fed asynchronous generator set is directly connected to the power grid, the rotor side
- the dual PWM inverter is connected to the grid, and the in
- the calculation method of the transient short-circuit current considers the influence of the input mechanism of the crowbar circuit when the short-circuit fault occurs, and can obtain an accurate expression of the transient short-circuit current of the wind turbine.
- the invention can be used for estimating the transient current during the low voltage crossing process, guiding the correction of the fan control strategy, reducing the damage caused by the voltage drop of the terminal to the wind turbine and the power grid, especially for formulating the low voltage ride through hardware protection control strategy. Important guiding significance.
- the embodiment of the present invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set.
- the method further includes: when the crowbar circuit is input delayed, according to the first stator transient current And calculating a transient short circuit current of the doubly-fed asynchronous generator set by the second stator transient current.
- the second stator transient current is approximately equivalent to the calculation of the transient short-circuit current of the final doubly-fed asynchronous generator set, which is not in accordance with the actual situation, and the actual doubly-fed asynchronous generator set rotor
- the input of the side boring bar circuit needs to consider the delay of denoising, the delay of the detecting device and the actuator. In order to better reflect the actual situation of the site, it is necessary to set the trigger mechanism of the crowbar circuit input according to the actual situation, and then modify the transient current of the stator as the transient short-circuit current when the crowbar circuit inputs the delay.
- the embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set.
- the transient state of the doubly-fed asynchronous generator set is established according to the transient electrical relationship in the mathematical model. Equivalent Circuit.
- the step of establishing a transient equivalent circuit includes:
- stator-rotor voltage equation (1) and the stator-coil flux equation (2) of the doubly-fed asynchronous generator set vector in the synchronous speed rotation dq coordinate system are as follows:
- u s is the stator voltage vector
- u r is the rotor voltage vector
- R s is the stator resistance
- R r is the rotor resistance
- i s is the stator current vector
- i r is the rotor current vector
- ⁇ s is the stator flux vector
- ⁇ r is the rotor flux vector
- ⁇ e is the synchronous angular velocity
- L s ⁇ is the stator leakage inductance
- L r ⁇ is the rotor leakage inductance
- L m is the stator and rotor mutual inductance
- L s is the stator inductance
- L r is the rotor inductance
- FIG. 2 is a specific equivalent circuit diagram.
- the embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set.
- a flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed:
- Equation (6) can obtain the corresponding stator transient current at synchronous speed:
- the influence of residual voltage after voltage drop is considered on the basis of the traditional analytical method, and the stator current change after the fault occurs is regarded as the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set, which is consistent with The actual situation.
- the embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set.
- the method further comprises: the change of the transient current of the stator after the fault occurs can be regarded as a doubly-fed asynchronous generator set.
- the embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set.
- the stator-side transient equivalent impedance X s is obtained according to formula (11):
- the embodiment of the invention also provides a method for calculating the transient short-circuit current of the doubly-fed asynchronous generator set.
- the second stator transient current of the double-fed asynchronous generator set is dropped when the crowbar circuit is input.
- R cb is the resistance of the crowbar circuit, and the value is 0.1 ⁇ .
- the embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set.
- the crowbar circuit input is calculated according to the first stator transient current and the second stator transient current.
- Transient short-circuit currents at delay include:
- t c is the time when the crowbar circuit is put into the circuit
- t c1 is the time correction of the crowbar circuit input to the DC component
- t c2 is the time correction of the crowbar circuit input to the AC component. Is the phase angle correction of the crowbar circuit input to the AC component;
- ⁇ is the correction of the phase angle in the first stator transient current, The phase angle correction that satisfies the boundary conditions when the crowbar circuit is input.
- stator resistance R s 9.18 m ⁇
- rotor resistance R r 3.24 m ⁇
- stator leakage inductance L s ⁇ 0.3578 mH
- Rotor leakage inductance L r ⁇ 0.3278mH
- magnetizing inductance L m 13.82mH
- input rotor current threshold I rot 1.5pu
- the data calculated according to the embodiment of the present invention draws a transient short-circuit current curve 1 considering the input delay of the crowbar circuit, and curve 2 is a doubly-fed asynchronous generator set corresponding to the doubly-fed asynchronous generator set parameters.
- the low voltage traverses the phase current curve of the tester.
- the test environment is three-phase voltage drop, residual voltage 20%, and windy condition (rated power).
- the curve drawn by the data calculated by the embodiment of the present invention is compared with the field measured curve as shown in Table 1:
- Curve 1 Curve 2 Peak appearance time (s) 0.0065 0.0066 Peak size (A) 4131 4195 Enter steady state time (s) 0.21 0.23
- the calculated curve has a higher fitness fit with the actual situation than the transient peak and decay time, thus verifying the validity of the calculation method.
- the calculation method of the transient short-circuit current of the doubly-fed asynchronous generator set provided by the embodiment of the present invention can not only Obtain the transient short-circuit current of the double-fed asynchronous generator set under different voltage drops, and consider the common crowbar circuit protection in the low-through process of the fan to consider the calculation method.
- the factors considered in the calculation are more in line with the actual situation and pass
- the comparison with the measured curve proves that the invention can more accurately reflect the transient short-circuit current characteristics of a single fan, and can provide a reference for the selection of the unit equipment and the setting of the fault protection setting of the wind turbine.
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Abstract
A method for calculating a transient short circuit current of a double fed induction generator (DFIG) set comprises: establishing a transient mathematical model of the DFIG set when there is a deep drop failure of power grid voltage, and establishing a transient equivalent circuit of the DFIG set according to a transient electrical relationship in the mathematical model; analyzing the magnetic linkage relationship of the transient equivalent circuit of the DFIG set, to obtain a first stator transient current appearing when a terminal of the DFIG set experiences a voltage drop; correcting the transient equivalent circuit of the DFIG set according to a crowbar circuit activation mechanism, to obtain, after correction, a second stator transient current appearing when the terminal of the DFIG set experiences a voltage drop in the case of crowbar circuit activation; and acquiring a transient short circuit current of the DFIG set according to the second stator transient current.
Description
本发明涉及风力发电领域，特别涉及一种双馈异步发电机组暂态短路电流的计算方法。The invention relates to the field of wind power generation, in particular to a method for calculating transient short-circuit current of a doubly-fed asynchronous generator set.
在各类风力发电机组中，双馈异步发电机(Double Fed Induction Generator，DFIG)是目前兆瓦级风力发电机组的主流机型之一。由于双馈风电机组的发电机定子直接与电网相连，当系统出现短路故障时，电网侧的电压变化会通过定、转子之间的感应引起转子侧的大电流，即在转子侧产生较大的短路电流，会对风电机组的换流器和风机产生冲击。此外风电机组相关的保护定值需要考虑风电机组短路电流的影响，因此定量计算双馈风机短路电流的大小对于双馈风机设备选型、保护定值整定有重要意义。Among all types of wind turbines, the Double Fed Induction Generator (DFIG) is one of the mainstream models of the current MW-class wind turbines. Since the generator stator of the doubly-fed wind turbine is directly connected to the grid, when the system has a short-circuit fault, the voltage change on the grid side will cause a large current on the rotor side through the induction between the stator and the rotor, that is, a large rotor is generated on the rotor side. The short-circuit current will have an impact on the converter and fan of the wind turbine. In addition, the protection setting of the wind turbine needs to consider the influence of the short-circuit current of the wind turbine. Therefore, quantitative calculation of the short-circuit current of the doubly-fed fan is of great significance for the selection of the doubly-fed fan equipment and the setting of the protection settings.
目前，针对双馈风机短路电流的研究成果多集中于机端发生三相短路，机端电压跌至0时的定子、转子暂态电流，分析方法多为基于磁链分析的数学解析法，对于三相电压跌落后存在残压的分析则较少；另外，对于撬棒电路(CrowBar)投入情况的分析多假设故障发生瞬间CrowBar立即投入，真正将CrowBar投入策略考虑在暂态分析中的研究则鲜有。例如公开号为102867085A的中国专利申请为本发明最接近的现有技术，其公开了含双馈风电机组的电力系统短路电流计算方法，其中便是通过对暂态过程中磁链的衰减进行分析，通过磁链与电流的关系获得计算结果的，且在计算过程中并未考虑保护的实际投入机制，无法得到反映撬棒电路参与保护下的风电机组低电压穿越过程的暂态特征。At present, the research results of the short-circuit current of the doubly-fed fan are mostly concentrated on the three-phase short circuit at the machine end, and the stator and rotor transient currents when the terminal voltage drops to 0. The analysis methods are mostly mathematical analytical methods based on flux linkage analysis. There is less analysis of the residual voltage after the three-phase voltage drop; in addition, the analysis of the CrowBar input situation assumes that the CrowBar is immediately invested in the moment of the failure, and the CrowBar input strategy is considered in the transient analysis. Few. For example, the Chinese patent application with the publication number 102867085A is the closest prior art of the present invention, which discloses a short-circuit current calculation method for a power system including a doubly-fed wind turbine, in which the attenuation of the flux linkage in the transient process is analyzed. The calculation result is obtained by the relationship between the flux linkage and the current, and the actual input mechanism of the protection is not considered in the calculation process, and the transient characteristics of the low voltage crossing process of the wind turbine under the protection of the crowbar circuit cannot be obtained.
发明内容Summary of the invention
本发明实施例提供一种双馈异步发电机组暂态短路电流的计算方法，用于解决现有技术中无法精确的计算双馈异步发电机组暂态短路电流的技术问题。The embodiment of the invention provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, which is used for solving the technical problem that the transient short-circuit current of the doubly-fed asynchronous generator set cannot be accurately calculated in the prior art.
本发明实施例提供一种双馈异步发电机组暂态短路电流的计算方法，所述方法包括：Embodiments of the present invention provide a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, where the method includes:
建立双馈异步发电机组在电网电压深度跌落故障下暂态数学模型，根据所述数学模型中的暂态电气关系，建立所述双馈异步发电机组的暂态等效电路；Establishing a transient mathematical model of the doubly-fed asynchronous generator set under the grid voltage deep drop fault, and establishing a transient equivalent circuit of the doubly-fed asynchronous generator set according to the transient electrical relationship in the mathematical model;
对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析，获得所述双馈异步发电机组机端电压跌落时的第一定子暂态电流；The flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed, and the first stator transient current when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained;
根据撬棒电路投入机制，对所述双馈异步发电机组的暂态等效电路进行修正，修正后获得撬棒电路投入情况下的双馈异步发电机组机端电压跌落时的第二定子暂态电流；
According to the input mechanism of the crowbar circuit, the transient equivalent circuit of the doubly-fed asynchronous generator set is corrected, and the second stator transient state of the double-fed asynchronous generator set voltage drop is obtained after the correction is obtained. Current
根据所述第二定子暂态电流获得所述双馈异步发电机组暂态短路电流。Obtaining a transient short circuit current of the doubly-fed asynchronous generator set according to the second stator transient current.
上述的双馈异步发电机组暂态短路电流的计算方法，其中，所述方法还包括：所述撬棒电路投入延迟时，根据所述第一定子暂态电流以及第二定子暂态电流计算所述双馈异步发电机组暂态短路电流。The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, wherein the method further comprises: calculating, according to the first stator transient current and the second stator transient current, when the crowbar circuit is input delayed The doubly-fed asynchronous generator set transient short-circuit current.
上述的双馈异步发电机组暂态短路电流的计算方法，其中，对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析包括：电网电压深度跌落故障发生后的定子暂态电流的变化为所述双馈异步发电机组的暂态等效电路的全响应过程。The above method for calculating the transient short-circuit current of the doubly-fed asynchronous generator set, wherein the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed: the stator transient state after the grid voltage deep drop fault occurs The change of current is the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set.
上述的双馈异步发电机组暂态短路电流的计算方法，其中，所述根据所述数学模型中的暂态电气关系，建立所述双馈异步发电机组的暂态等效电路包括：The method for calculating a transient short-circuit current of the doubly-fed asynchronous generator set, wherein the transient equivalent circuit of the doubly-fed asynchronous generator set according to the transient electrical relationship in the mathematical model includes:
同步速旋转dq坐标系中所述双馈异步发电机组矢量形式的定转子电压方程(1)以及定转子磁链方程(2)如下：The stator-rotor voltage equation (1) and the stator-coil flux equation (2) of the doubly-fed asynchronous generator set vector in the synchronous speed rotation dq coordinate system are as follows:
Ls＝Lsσ+Lm (3)L s =L sσ +L m (3)
Lr＝Lrσ+Lm (4)L r =L rσ +L m (4)
其中：us为定子电压矢量、ur为转子电压矢量，Rs为定子电阻，Rr为转子电阻，is为定子电流矢量，ir为转子电流矢量，ψs为定子磁链矢量，ψr为转子磁链矢量，ωe为同步角速度，ωslip＝ωs-ωr为定子与转子转差角速度，Lsσ为定子漏感，Lrσ为转子漏感，Lm为定转子互感，Ls为定子电感，Lr为转子电感；Where: u s is the stator voltage vector, u r is the rotor voltage vector, R s is the stator resistance, R r is the rotor resistance, i s is the stator current vector, i r is the rotor current vector, ψ s is the stator flux vector, ψ r is the rotor flux vector, ω e is the synchronous angular velocity, ω slip =ω s -ω r is the stator and rotor slip angular velocity, L sσ is the stator leakage inductance, L rσ is the rotor leakage inductance, and L m is the stator and rotor mutual inductance , L s is the stator inductance, and L r is the rotor inductance;
根据式(1)、(2)、(3)及(4)得到所述双馈异步发电机组的暂态等效电路。According to the formulas (1), (2), (3) and (4), the transient equivalent circuit of the doubly-fed asynchronous generator set is obtained.
上述的双馈异步发电机组暂态短路电流的计算方法，其中，对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析包括：The above method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, wherein analyzing the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set includes:
对式(2)进行变换得到定转子电流矢量方程(5)：
Transform the equation (2) to obtain the stator and rotor current vector equation (5):
其中： 
among them:
假设所述双馈异步发电机组工作在同步速下，则根据式(6)获得同步速下相应的定子暂态电流：Assuming that the doubly-fed asynchronous generator set operates at synchronous speed, the corresponding stator transient current at synchronous speed is obtained according to equation (6):
则同步速下定转子磁链方程为(7)：Then the synchronous rotor speed flux equation is (7):
再假设t＝0时刻发生电压跌落时的初始相角α＝0，残压为Δu，则在t＝0+时刻的定转子磁链方程(8)及电压跌落后稳态时刻定转子磁链方程(9)为：Suppose that the initial phase angle α=0 at the time of voltage drop at t=0, and the residual voltage is Δu, then the stator and rotor flux equation (8) at t=0 + and the steady-state moment of the voltage drop are fixed. Equation (9) is:
上述的双馈异步发电机组暂态短路电流的计算方法，其中，所述方法还包括：根据式(10)获得所述双馈异步发电机组机端电压跌落时的第一定子暂态电流is：The method for calculating the transient short-circuit current of the doubly-fed asynchronous generator set, wherein the method further comprises: obtaining the first stator transient current i when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained according to formula (10) s :
其中，cos(ωst∞)为周期分量，t∞＝t，ωst∞′＝ωst∞+β，β∈(-π，π)，Tr为转子磁链衰
减时间常数和充电时间常数，Ts为定子侧衰减时间常数，系数ks＝Lm/Ls，kr＝Lm/Lr。Wherein, cos (ω s t ∞) is a periodic component, t ∞ = t, ω s t ∞ '= ω s t ∞ + β, β∈ (-π, π), T r is the decay time constant and rotor flux The charging time constant, T s is the stator side decay time constant, the coefficient k s =L m /L s , k r =L m /L r .
上述的双馈异步发电机组暂态短路电流的计算方法，其中，根据式(11)获得所述定子侧暂态等效阻抗Xs：The above method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, wherein the stator-side transient equivalent impedance X s is obtained according to formula (11):
Xs＝ωeLs′ (11)。X s =ω e L s ' (11).
上述的双馈异步发电机组暂态短路电流的计算方法，其中，获得撬棒电路投入情况下的双馈异步发电机组机端电压跌落时的第二定子暂态电流包括：The above-mentioned calculation method of transient short-circuit current of the doubly-fed asynchronous generator set, wherein the second stator transient current when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained under the input condition of the crowbar circuit includes:
将式(11)中的所述定子侧暂态等效阻抗Xs修正为式(12)：Correcting the stator-side transient equivalent impedance X s in equation (11) to equation (12):
其中，Rcb为撬棒电路电阻，将转子侧衰减时间常数和充电时间常数修正为
Wherein, R cb is the crowbar circuit resistance, the rotor side damping time constant and the charging time constant is corrected to
因此，撬棒电路投入后的第二定子暂态电流(12)为：Therefore, the second stator transient current (12) after the crowbar circuit is input is:
上述的双馈异步发电机组暂态短路电流的计算方法，其中，根据所述第一定子暂态电流以及第二定子暂态电流，计算所述撬棒电路投入延迟时的暂态短路电流包括：The above method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, wherein, according to the first stator transient current and the second stator transient current, calculating a transient short-circuit current when the crowbar circuit is input delayed comprises :
分别将式(10)和式(13)的直流分量和交流分量建立等式关系(14)，获得投切时间修正量：The equation (14) is established by the direct current component and the alternating current component of equations (10) and (13), respectively, and the correction time of the switching time is obtained:
式中tc为撬棒电路投入电路的时间，tc1是撬棒电路投入对直流分量的时间修正，tc2是撬棒电路投入对交流分量的时间修正，
是撬棒电路投入对交流分量的相角修正；Where t c is the time when the crowbar circuit is put into the circuit, t c1 is the time correction of the crowbar circuit input to the DC component, and t c2 is the time correction of the crowbar circuit input to the AC component. Is the phase angle correction of the crowbar circuit input to the AC component;
则撬棒电路投入迟延时的暂态短路电流imix为：
Then, the transient short-circuit current i mix of the crowbar circuit is delayed by:
其中，t1＝t-tc+tc1，t2＝t-tc+tc2。β为第一定子暂态电流中对相角的修正，
为撬棒电路投入时满足边界条件的相角修正。Where t 1 = tt c + t c1 , t 2 = tt c + t c2 . β is the correction of the phase angle in the first stator transient current, The phase angle correction that satisfies the boundary conditions when the crowbar circuit is input.
本发明实施例提供的双馈异步发电机组暂态短路电流的计算方法，通过将撬棒电路投入机制考虑到暂态电流计算过程中，根据其确定暂态等效电路的变换时刻，最终获得了一种与现场实测曲线较为接近的暂态短路电流计算方法并且与实际情况吻合。The calculation method of the transient short-circuit current of the doubly-fed asynchronous generator set provided by the embodiment of the present invention is obtained by considering the conversion time of the transient equivalent circuit according to the transient current calculation process of the crowbar circuit input mechanism, and finally obtaining the conversion time of the transient equivalent circuit. A method for calculating the transient short-circuit current that is closer to the measured curve in the field and is in agreement with the actual situation.
此处所说明的附图用来提供对本发明的进一步理解，构成本申请的一部分，并不构成对本发明的限定。在附图中：The drawings described herein are provided to provide a further understanding of the invention, and are not intended to limit the invention. In the drawing:
图1为本发明实施例中一种双馈异步发电机组暂态短路电流的计算方法流程图；1 is a flow chart of a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to an embodiment of the present invention;
图2为本发明实施例中双馈异步发电机组暂态等效电路示意图；2 is a schematic diagram of a transient equivalent circuit of a doubly-fed asynchronous generator set according to an embodiment of the present invention;
图3为本发明实施例中计算得到的暂态短路电流与实测的暂态短路电流对比示意图。FIG. 3 is a schematic diagram of comparison between the calculated transient short-circuit current and the measured transient short-circuit current in the embodiment of the present invention.
为使本发明的目的、技术方案和优点更加清楚明白，下面结合附图对本发明实施例作进一步详细说明。在此，本发明的示意性实施例及其说明用于解释本发明，但并不作为对本发明的限定。In order to make the objects, the technical solutions and the advantages of the present invention more clearly, the embodiments of the present invention are further described in detail below with reference to the accompanying drawings. The illustrative embodiments of the present invention and the description thereof are intended to explain the present invention, but are not intended to limit the invention.
本发明实施例提供一种双馈异步发电机组暂态短路电流的计算方法，如图1所示，所述方法包括：Embodiments of the present invention provide a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. As shown in FIG. 1 , the method includes:
步骤101，建立双馈异步发电机组在电网电压深度跌落故障下暂态数学模型，根据所述数学模型中的暂态电气关系，建立所述双馈异步发电机组的暂态等效电路；
Step 101: Establish a transient mathematical model of the doubly-fed asynchronous generator set under the grid voltage deep drop fault, and establish a transient equivalent circuit of the doubly-fed asynchronous generator set according to the transient electrical relationship in the mathematical model;
步骤102，对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析，获得所述双馈异步发电机组机端电压跌落时的第一定子暂态电流；Step 102: analyzing a flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set, and obtaining a first stator transient current when the terminal voltage of the doubly-fed asynchronous generator set is dropped;
较佳的，电网电压深度跌落故障发生后的定子暂态电流的变化为所述双馈异步发电机组的暂态等效电路的全响应过程，即零输入响应与零状态响应的叠加。Preferably, the change of the stator transient current after the grid voltage deep drop fault occurs is the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set, that is, the superposition of the zero input response and the zero state response.
步骤103，根据撬棒电路投入机制，对所述双馈异步发电机组的暂态等效电路进行修正，修正后获得撬棒电路投入情况下的双馈异步发电机组机端电压跌落时的第二定子暂态电流；较佳的，该修正包括定子侧暂态等效阻抗和转子磁链衰减时间常数的修正。Step 103: Correct the transient equivalent circuit of the doubly-fed asynchronous generator set according to the input mechanism of the crowbar circuit, and obtain the second voltage drop of the doubly-fed asynchronous generator set when the crowbar circuit is input. Stator transient current; preferably, the correction includes correction of the stator side transient equivalent impedance and the rotor flux decay time constant.
步骤104，根据所述第二定子暂态电流获得所述双馈异步发电机组暂态短路电流。较佳的，本发明实施例中将第二定子暂态电流近似等效为所述双馈异步发电机组暂态短路电流，具体的，由于双馈异步发电机组定子侧与电网直接相连，转子侧通过双PWM变频器与电网相连，而变频器容量仅为机组容量的1/3左右。故障瞬间，定子电流可以达到机组额定电流的4～5倍，此时转子侧变频器对机端电流的贡献十分微小，可以近似忽略，因此将第二定子暂态电流近似等效为最终双馈异步发电机组暂态短路电流。Step 104: Obtain a transient short-circuit current of the doubly-fed asynchronous generator set according to the second stator transient current. Preferably, in the embodiment of the present invention, the second stator transient current is approximately equivalent to the transient short-circuit current of the doubly-fed asynchronous generator set. Specifically, since the stator side of the doubly-fed asynchronous generator set is directly connected to the power grid, the rotor side The dual PWM inverter is connected to the grid, and the inverter capacity is only about 1/3 of the unit capacity. At the moment of failure, the stator current can reach 4 to 5 times of the rated current of the unit. At this time, the contribution of the rotor-side inverter to the current of the machine is very small and can be neglected, so the second stator transient current is approximately equivalent to the final doubly-fed. Asynchronous generator set transient short circuit current.
本发明实施例所提供的暂态短路电流的计算方法，考虑了短路故障时撬棒电路电路投入机制的影响，可以得到风电机组暂态短路电流的准确表达式。本发明可用于对低电压穿越过程中暂态电流进行估算，指导风机控制策略的修正，减小机端电压跌落对风电机组及电网带来的危害，尤其对制定低电压穿越硬件保护控制策略具有重要指导意义。The calculation method of the transient short-circuit current provided by the embodiment of the present invention considers the influence of the input mechanism of the crowbar circuit when the short-circuit fault occurs, and can obtain an accurate expression of the transient short-circuit current of the wind turbine. The invention can be used for estimating the transient current during the low voltage crossing process, guiding the correction of the fan control strategy, reducing the damage caused by the voltage drop of the terminal to the wind turbine and the power grid, especially for formulating the low voltage ride through hardware protection control strategy. Important guiding significance.
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，所述方法还包括：所述撬棒电路投入延迟时，根据所述第一定子暂态电流以及第二定子暂态电流计算所述双馈异步发电机组暂态短路电流。较佳的，当撬棒电路投入延迟时，将第二定子暂态电流近似等效为最终双馈异步发电机组暂态短路电流的计算便不符合实际情况，实际的双馈异步发电机组的转子侧撬棒电路的投入需考虑去噪迟延、检测装置与执行机构的迟延。为了更好的反映现场实际情况，需根据实际情况设置撬棒电路投入的触发机制，进而修改定子暂态电流作为撬棒电路投入延迟时的暂态短路电流。The embodiment of the present invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. Preferably, the method further includes: when the crowbar circuit is input delayed, according to the first stator transient current And calculating a transient short circuit current of the doubly-fed asynchronous generator set by the second stator transient current. Preferably, when the crowbar circuit is delayed, the second stator transient current is approximately equivalent to the calculation of the transient short-circuit current of the final doubly-fed asynchronous generator set, which is not in accordance with the actual situation, and the actual doubly-fed asynchronous generator set rotor The input of the side boring bar circuit needs to consider the delay of denoising, the delay of the detecting device and the actuator. In order to better reflect the actual situation of the site, it is necessary to set the trigger mechanism of the crowbar circuit input according to the actual situation, and then modify the transient current of the stator as the transient short-circuit current when the crowbar circuit inputs the delay.
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，所述根据所述数学模型中的暂态电气关系，建立所述双馈异步发电机组的暂态等效电路。具体的，所述建立暂态等效电路的步骤包括：The embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. Preferably, the transient state of the doubly-fed asynchronous generator set is established according to the transient electrical relationship in the mathematical model. Equivalent Circuit. Specifically, the step of establishing a transient equivalent circuit includes:
同步速旋转dq坐标系中所述双馈异步发电机组矢量形式的定转子电压方程(1)以及定转子磁链方程(2)如下：
The stator-rotor voltage equation (1) and the stator-coil flux equation (2) of the doubly-fed asynchronous generator set vector in the synchronous speed rotation dq coordinate system are as follows:
Ls＝Lsσ+Lm (3)L s =L sσ +L m (3)
Lr＝Lrσ+Lm (4)L r =L rσ +L m (4)
其中：us为定子电压矢量、ur为转子电压矢量，Rs为定子电阻，Rr为转子电阻，is为定子电流矢量，ir为转子电流矢量，ψs为定子磁链矢量，ψr为转子磁链矢量，ωe为同步角速度，ωslip＝ωs-ωr为定子与转子转差角速度，Lsσ为定子漏感，Lrσ为转子漏感，Lm为定转子互感，Ls为定子电感，Lr为转子电感；Where: u s is the stator voltage vector, u r is the rotor voltage vector, R s is the stator resistance, R r is the rotor resistance, i s is the stator current vector, i r is the rotor current vector, ψ s is the stator flux vector, ψ r is the rotor flux vector, ω e is the synchronous angular velocity, ω slip =ω s -ω r is the stator and rotor slip angular velocity, L sσ is the stator leakage inductance, L rσ is the rotor leakage inductance, and L m is the stator and rotor mutual inductance , L s is the stator inductance, and L r is the rotor inductance;
根据式(1)、(2)、(3)及(4)得到所述双馈异步发电机组的暂态等效电路，图2为具体的等效电路图。According to the formulas (1), (2), (3) and (4), the transient equivalent circuit of the doubly-fed asynchronous generator set is obtained, and FIG. 2 is a specific equivalent circuit diagram.
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析包括：The embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. Preferably, the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed:
对式(2)进行变换得到定转子电流矢量方程(5)：Transform the equation (2) to obtain the stator and rotor current vector equation (5):
其中： 
among them:
假设所述双馈异步发电机组工作在同步速下，此时转子电流只起到直流励磁作用，转子电流幅值Ir＝0，因此定子、转子电阻远小于其漏抗而可忽略，则根据式(6)能够获得同步速下相应的定子暂态电流：It is assumed that the doubly-fed asynchronous generator set operates at synchronous speed. At this time, the rotor current only acts as a DC excitation, and the rotor current amplitude I r =0, so the stator and rotor resistance are much smaller than the leakage reactance and can be ignored. Equation (6) can obtain the corresponding stator transient current at synchronous speed:
则同步速下定转子磁链方程为(7)：
Then the synchronous rotor speed flux equation is (7):
再假设t＝0时刻发生电压跌落时的初始相角α＝0，残压为Δu，较佳的，例如双馈异步发电机组机端电压跌至额定电压20％时，Δu＝0.2，根据磁链守恒定律，磁链在故障瞬间不会发生突变，则在t＝0+时刻的定转子磁链方程(8)及电压跌落后稳态时刻定转子磁链方程(9)为：It is assumed that the initial phase angle α=0 when the voltage is dropped at time t=0, and the residual voltage is Δu. Preferably, for example, when the terminal voltage of the doubly-fed asynchronous generator falls to the rated voltage of 20%, Δu=0.2, according to the magnetic The law of chain conservation, the flux linkage does not abruptly change at the moment of failure, then the stator-torque flux equation (8) at t=0 + and the steady-state moment of the voltage drop are (4):
本发明上述实施例中在传统解析法的基础上考虑了电压跌落后残压的影响，将故障发生后的定子电流变化看作是双馈异步发电机组暂态等效电路的全响应过程，符合实际情况。In the above embodiment of the present invention, the influence of residual voltage after voltage drop is considered on the basis of the traditional analytical method, and the stator current change after the fault occurs is regarded as the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set, which is consistent with The actual situation.
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，所述方法还包括：故障发生后的定子暂态电流的变化可以看作是双馈异步发电机组暂态等效电路的全响应过程，包括以ψs0、ψr0为初值，衰减时间常数为
所对应的零输入响应分量和以ψs∞、ψr∞为稳态值，充电时间常数为
所对应的零状态响应分量的叠加，因此将其带入式(5)得到式(10)，根据式(10)获得所述双馈异步发电机组机端电压跌落时的第一定子暂态电流is：The embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. Preferably, the method further comprises: the change of the transient current of the stator after the fault occurs can be regarded as a doubly-fed asynchronous generator set. The full response process of the transient equivalent circuit, including ψ s0 and ψ r0 as initial values, and the decay time constant is Corresponding to zero-input response components and ψ s∞, ψ r∞ steady state value, the charging time constant The superposition of the corresponding zero-state response components, so that it is brought into equation (5) to obtain equation (10), and according to equation (10), the first stator transient state when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained Current i s :
其中，cos(ωst∞)为周期分量，t∞＝t，ωst∞′＝ωst∞+β，β∈(-π，π)，Tr为转子磁链衰减时间常数和充电时间常数，Ts为定子侧衰减时间常数，系数ks＝Lm/Ls，kr＝Lm/Lr。Where cos(ω s t ∞ ) is a periodic component, t ∞ =t, ω s t ∞ ′′=ω s t ∞ +β, β∈(-π,π), and T r is the rotor flux decay time constant and The charging time constant, T s is the stator side decay time constant, the coefficient k s =L m /L s , k r =L m /L r .
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，根据式
(11)获得所述定子侧暂态等效阻抗Xs：The embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. Preferably, the stator-side transient equivalent impedance X s is obtained according to formula (11):
Xs＝ωeLs′ (11)。X s =ω e L s ' (11).
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，获得撬棒电路投入情况下的双馈异步发电机组机端电压跌落时的第二定子暂态电流包括：The embodiment of the invention also provides a method for calculating the transient short-circuit current of the doubly-fed asynchronous generator set. Preferably, the second stator transient current of the double-fed asynchronous generator set is dropped when the crowbar circuit is input. include:
将式(11)中的所述定子侧暂态等效阻抗Xs修正为式(12)：Correcting the stator-side transient equivalent impedance X s in equation (11) to equation (12):
其中，Rcb为撬棒电路电阻，取值0.1Ω。将转子侧衰减时间常数和充电时间常数修正为 
Where R cb is the resistance of the crowbar circuit, and the value is 0.1Ω. Correct the rotor side decay time constant and charging time constant to
因此，撬棒电路投入后的第二定子暂态电流(12)为：Therefore, the second stator transient current (12) after the crowbar circuit is input is:
本发明实施例还提供一种双馈异步发电机组暂态短路电流的计算方法，较佳的，根据所述第一定子暂态电流以及第二定子暂态电流，计算所述撬棒电路投入延迟时的暂态短路电流包括：The embodiment of the invention further provides a method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set. Preferably, the crowbar circuit input is calculated according to the first stator transient current and the second stator transient current. Transient short-circuit currents at delay include:
在撬棒电路投入前后，由于磁链守恒致使动作瞬间前后电流幅值、相角不会发生变化，因此分别将式(10)和式(13)的直流分量和交流分量建立等式关系(14)，获得投切时间修正量：Before and after the crowbar circuit is input, the current amplitude and phase angle do not change before and after the action moment due to the conservation of the flux linkage. Therefore, the DC component and the AC component of equations (10) and (13) are respectively established in an equation relationship (14). ), get the correction time correction amount:
式中tc为撬棒电路投入电路的时间，tc1是撬棒电路投入对直流分量的时间修正，tc2是撬棒电路投入对交流分量的时间修正，
是撬棒电路投入对交流分量的相角修正；Where t c is the time when the crowbar circuit is put into the circuit, t c1 is the time correction of the crowbar circuit input to the DC component, and t c2 is the time correction of the crowbar circuit input to the AC component. Is the phase angle correction of the crowbar circuit input to the AC component;
则撬棒电路投入迟延时的暂态短路电流imix为：
Then, the transient short-circuit current i mix of the crowbar circuit is delayed by:
式中，t1＝t-tc+tc1，t2＝t-tc+tc2。β为第一定子暂态电流中对相角的修正，
为撬棒电路投入时满足边界条件的相角修正。Where t 1 = tt c + t c1 , t 2 = tt c + t c2 . β is the correction of the phase angle in the first stator transient current, The phase angle correction that satisfies the boundary conditions when the crowbar circuit is input.
本发明实施例中采用一具体的实施例来证明本发明所述方法计算得到的暂态短路电流符合实际情况。较佳的，本发明实施例采用一种双馈式异步发电机组所测得的实际参数如下：定子电阻Rs＝9.18mΩ，转子电阻Rr＝3.24mΩ，定子漏感Lsσ＝0.3578mH，转子漏感Lrσ＝0.3278mH，励磁电感Lm＝13.82mH，电机同步转速1500rpm，额定相电压Vs＝400V，撬棒电路电阻值0.3Ω，投入转子电流阈值Irot＝1.5pu，去噪、执行机构延迟tc1＝3ms。如图3所示，根据本发明实施例计算得到的数据绘制考虑撬棒电路投入延迟的暂态短路电流曲线1，曲线2是使用的双馈式异步发电机组参数对应的双馈式异步发电机组低电压穿越测试机端相电流曲线，测试环境为三相电压跌落，残压20％，大风工况(额定功率)。将采用本发明实施例计算得到的数据所绘制曲线与现场实测曲线进行对比如表1所示：A specific embodiment is used in the embodiment of the present invention to prove that the transient short-circuit current calculated by the method of the present invention conforms to the actual situation. Preferably, the actual parameters measured by a doubly-fed asynchronous generator set in the embodiment of the present invention are as follows: stator resistance R s = 9.18 mΩ, rotor resistance R r = 3.24 mΩ, stator leakage inductance L sσ = 0.3578 mH, Rotor leakage inductance L rσ =0.3278mH, magnetizing inductance L m =13.82mH, motor synchronous speed 1500rpm, rated phase voltage V s =400V, crowbar circuit resistance value 0.3Ω, input rotor current threshold I rot =1.5pu, denoising The actuator delay is t c1 =3ms. As shown in FIG. 3, the data calculated according to the embodiment of the present invention draws a transient short-circuit current curve 1 considering the input delay of the crowbar circuit, and curve 2 is a doubly-fed asynchronous generator set corresponding to the doubly-fed asynchronous generator set parameters. The low voltage traverses the phase current curve of the tester. The test environment is three-phase voltage drop, residual voltage 20%, and windy condition (rated power). The curve drawn by the data calculated by the embodiment of the present invention is compared with the field measured curve as shown in Table 1:
表1Table 1
|
曲线1 |
曲线2 |
|
| 峰值出现时间(s)Peak appearance time (s) | 0.00650.0065 | 0.00660.0066 |
| 峰值大小(A)Peak size (A) | 41314131 | 41954195 |
| 进入稳态时间(s)Enter steady state time (s) | 0.210.21 | 0.230.23 |
可见计算得到曲线在暂态峰值与衰减时间上与实际情况较高的拟合度，从而验证了计算方法的有效性。It can be seen that the calculated curve has a higher fitness fit with the actual situation than the transient peak and decay time, thus verifying the validity of the calculation method.
由上可知，本发明实施例提供的双馈异步发电机组暂态短路电流的计算方法，不但能够
获得不同电压跌幅下的双馈异步发电机组的机端暂态短路电流，而且将风机低穿过程中较为常用的撬棒电路保护考虑到计算方法中，计算考虑的因素更加符合实际情况，并且通过与实测曲线比对证明本发明更能准确的反映单台风机机端暂态短路电流特性，可为机组设备选型、风电机组的故障保护定值整定提供参考依据。It can be seen from the above that the calculation method of the transient short-circuit current of the doubly-fed asynchronous generator set provided by the embodiment of the present invention can not only
Obtain the transient short-circuit current of the double-fed asynchronous generator set under different voltage drops, and consider the common crowbar circuit protection in the low-through process of the fan to consider the calculation method. The factors considered in the calculation are more in line with the actual situation and pass The comparison with the measured curve proves that the invention can more accurately reflect the transient short-circuit current characteristics of a single fan, and can provide a reference for the selection of the unit equipment and the setting of the fault protection setting of the wind turbine.
以上所述的具体实施方式，对本发明的目的、技术方案和有益效果进行了进一步详细说明，所应理解的是，以上所述仅为本发明的具体实施方式而已，并不用于限定本发明的保护范围，凡在本发明的精神和原则之内，所做的任何修改、等同替换、改进等，均应包含在本发明的保护范围之内。
The specific embodiments of the present invention have been described in detail with reference to the preferred embodiments of the present invention. All modifications, equivalent substitutions, improvements, etc., made within the spirit and scope of the invention are intended to be included within the scope of the invention.
Claims (9)
- 一种双馈异步发电机组暂态短路电流的计算方法，其特征在于，所述方法包括：A method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set, characterized in that the method comprises:建立双馈异步发电机组在电网电压深度跌落故障下暂态数学模型，根据所述数学模型中的暂态电气关系，建立所述双馈异步发电机组的暂态等效电路；Establishing a transient mathematical model of the doubly-fed asynchronous generator set under the grid voltage deep drop fault, and establishing a transient equivalent circuit of the doubly-fed asynchronous generator set according to the transient electrical relationship in the mathematical model;对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析，获得所述双馈异步发电机组机端电压跌落时的第一定子暂态电流；The flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed, and the first stator transient current when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained;根据撬棒电路投入机制，对所述双馈异步发电机组的暂态等效电路进行修正，修正后获得撬棒电路投入情况下的双馈异步发电机组机端电压跌落时的第二定子暂态电流；According to the input mechanism of the crowbar circuit, the transient equivalent circuit of the doubly-fed asynchronous generator set is corrected, and the second stator transient state of the double-fed asynchronous generator set voltage drop is obtained after the correction is obtained. Current根据所述第二定子暂态电流获得所述双馈异步发电机组暂态短路电流。Obtaining a transient short circuit current of the doubly-fed asynchronous generator set according to the second stator transient current.
- 根据权利要求1所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，所述方法还包括：所述撬棒电路投入延迟时，根据所述第一定子暂态电流以及第二定子暂态电流计算所述双馈异步发电机组暂态短路电流。The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 1, wherein the method further comprises: when the crowbar circuit inputs a delay, according to the first stator transient current and The second stator transient current calculates a transient short circuit current of the doubly-fed asynchronous generator set.
- 根据权利要求1或2所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析包括：电网电压深度跌落故障发生后的定子暂态电流的变化为所述双馈异步发电机组的暂态等效电路的全响应过程。The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 1 or 2, characterized in that the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set is analyzed: The change of the stator transient current after the deep drop fault occurs is the full response process of the transient equivalent circuit of the doubly-fed asynchronous generator set.
- 根据权利要求3所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，所述根据所述数学模型中的暂态电气关系，建立所述双馈异步发电机组的暂态等效电路包括：The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 3, wherein said transient state of said doubly-fed asynchronous generator set is established according to a transient electrical relationship in said mathematical model The circuit includes:同步速旋转dq坐标系中所述双馈异步发电机组矢量形式的定转子电压方程(1)以及定转子磁链方程(2)如下：The stator-rotor voltage equation (1) and the stator-coil flux equation (2) of the doubly-fed asynchronous generator set vector in the synchronous speed rotation dq coordinate system are as follows:
Ls＝Lsσ+Lm (3)L s =L sσ +L m (3)Lr＝Lrσ+Lm (4)L r =L rσ +L m (4)其中：us为定子电压矢量、ur为转子电压矢量，Rs为定子电阻，Rr为转子电阻，is为定子电流矢量，ir为转子电流矢量，ψs为定子磁链矢量，ψr为转子磁链矢量，ωe为同步角速度，ωslip＝ωs-ωr为定子与转子转差角速度，Lsσ为定子漏感，Lrσ为转子漏感，Lm为定转子互 感，Ls为定子电感，Lr为转子电感；Where: u s is the stator voltage vector, u r is the rotor voltage vector, R s is the stator resistance, R r is the rotor resistance, i s is the stator current vector, i r is the rotor current vector, ψ s is the stator flux vector, ψ r is the rotor flux vector, ω e is the synchronous angular velocity, ω slip =ω s -ω r is the stator and rotor slip angular velocity, L sσ is the stator leakage inductance, L rσ is the rotor leakage inductance, and L m is the stator and rotor mutual inductance , L s is the stator inductance, and L r is the rotor inductance;根据式(1)、(2)、(3)及(4)得到所述双馈异步发电机组的暂态等效电路。According to the formulas (1), (2), (3) and (4), the transient equivalent circuit of the doubly-fed asynchronous generator set is obtained. - 根据权利要求4所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，对所述双馈异步发电机组的暂态等效电路的磁链关系进行分析包括：The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 4, wherein analyzing the flux linkage relationship of the transient equivalent circuit of the doubly-fed asynchronous generator set comprises:对式(2)进行变换得到定转子电流矢量方程(5)：Transform the equation (2) to obtain the stator and rotor current vector equation (5):
其中：
假设所述双馈异步发电机组工作在同步速下，则根据式(6)获得同步速下相应的定子暂态电流：Assuming that the doubly-fed asynchronous generator set operates at synchronous speed, the corresponding stator transient current at synchronous speed is obtained according to equation (6):
则同步速下定转子磁链方程为(7)：Then the synchronous rotor speed flux equation is (7):
再假设t＝0时刻发生电压跌落时的初始相角α＝0，残压为Δu，则在t＝0+时刻的定转子磁链方程(8)及电压跌落后稳态时刻定转子磁链方程(9)为：Suppose that the initial phase angle α=0 at the time of voltage drop at t=0, and the residual voltage is Δu, then the stator and rotor flux equation (8) at t=0 + and the steady-state moment of the voltage drop are fixed. Equation (9) is:
- 根据权利要求5所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，所述方法还包括：根据式(10)获得所述双馈异步发电机组机端电压跌落时的第一定子暂态电 流is：The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 5, wherein the method further comprises: obtaining, according to formula (10), a voltage drop of the terminal of the doubly-fed asynchronous generator set Certain sub-transient current i s :
其中，cos(ωst∞)为周期分量，t∞＝t，ωst∞′＝ωst∞+β，β∈(-π，π)，Tr为转子磁链衰减时间常数和充电时间常数，Ts为定子侧衰减时间常数，系数ks＝Lm/Ls，kr＝Lm/Lr。Where cos(ω s t ∞ ) is a periodic component, t ∞ =t, ω s t ∞ ′′=ω s t ∞ +β, β∈(-π,π), and T r is the rotor flux decay time constant and The charging time constant, T s is the stator side decay time constant, the coefficient k s =L m /L s , k r =L m /L r . - 根据权利要求6所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，根据式(11)获得所述定子侧暂态等效阻抗Xs：The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 6, wherein the stator-side transient equivalent impedance X s is obtained according to formula (11):Xs＝ωeLs′ (11)。X s =ω e L s ' (11).
- 根据权利要求7所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，获得撬棒电路投入情况下的双馈异步发电机组机端电压跌落时的第二定子暂态电流包括：The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 7, wherein the second stator transient current when the terminal voltage drop of the doubly-fed asynchronous generator set is obtained under the input condition of the crowbar circuit comprises: :将式(11)中的所述定子侧暂态等效阻抗Xs修正为式(12)：Correcting the stator-side transient equivalent impedance X s in equation (11) to equation (12):
其中，Rcb为撬棒电路电阻，将转子侧衰减时间常数和充电时间常数修正为Where R cb is the crowbar circuit resistance, and the rotor side decay time constant and the charging time constant are corrected to
因此，撬棒电路投入后的第二定子暂态电流(12)为：Therefore, the second stator transient current (12) after the crowbar circuit is input is:
- 根据权利要求8所述的双馈异步发电机组暂态短路电流的计算方法，其特征在于，根据所述第一定子暂态电流以及第二定子暂态电流，计算所述撬棒电路投入延迟时的暂态短路电流包括：The method for calculating a transient short-circuit current of a doubly-fed asynchronous generator set according to claim 8, wherein the input delay of the crowbar circuit is calculated according to the first stator transient current and the second stator transient current Transient short-circuit currents include:分别将式(10)和式(13)的直流分量和交流分量建立等式关系(14)，获得投切时间修正量： The equation (14) is established by the direct current component and the alternating current component of equations (10) and (13), respectively, and the correction time of the switching time is obtained:
式中tc为撬棒电路投入电路的时间，tc1是撬棒电路投入对直流分量的时间修正，tc2是撬棒电路投入对交流分量的时间修正，是撬棒电路投入对交流分量的相角修正；Where t c is the time when the crowbar circuit is put into the circuit, t c1 is the time correction of the crowbar circuit input to the DC component, and t c2 is the time correction of the crowbar circuit input to the AC component.
Is the phase angle correction of the crowbar circuit input to the AC component;则撬棒电路投入迟延时的暂态短路电流imix为：Then, the transient short-circuit current i mix of the crowbar circuit is delayed by:
其中，t1＝t-tc+tc1，t2＝t-tc+tc2，β为第一定子暂态电流中对相角的修正，为撬棒电路投入时满足边界条件的相角修正。 Where t 1 = tt c + t c1 , t 2 = tt c + t c2 , β is the correction of the phase angle in the first stator transient current,
The phase angle correction that satisfies the boundary conditions when the crowbar circuit is input.
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| CN107798152B (en) * | 2016-08-30 | 2023-07-18 | 全球能源互联网研究院 | Method for calculating transient current distribution of dry smoothing reactor |
| CN107798152A (en) * | 2016-08-30 | 2018-03-13 | 全球能源互联网研究院 | A kind of method for calculating the distribution of dry smoothing reactor transient current |
| CN111523245A (en) * | 2020-04-30 | 2020-08-11 | 广东电网有限责任公司东莞供电局 | Method, device and equipment for establishing high-voltage distribution network short-circuit current calculation model |
| CN112198452A (en) * | 2020-09-21 | 2021-01-08 | 华北电力大学 | Construction method of new energy short-circuit current expression suitable for engineering practicality |
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| CN114928044A (en) * | 2022-05-18 | 2022-08-19 | 华中科技大学 | Method and system for calculating asymmetric fault current of double-fed fan |
| CN114928044B (en) * | 2022-05-18 | 2024-05-14 | 华中科技大学 | Asymmetric fault current calculation method and system for doubly-fed wind turbine |
| CN116365580A (en) * | 2022-12-09 | 2023-06-30 | 天津大学 | Method for establishing short-circuit current calculation model of offshore wind power transmission system |
| CN116316488A (en) * | 2023-02-10 | 2023-06-23 | 国网浙江省电力有限公司嘉兴供电公司 | Protection configuration and parameter setting method for wind farm fan collecting system |
| CN116316488B (en) * | 2023-02-10 | 2023-11-14 | 国网浙江省电力有限公司嘉兴供电公司 | Protection configuration and parameter setting method for wind farm fan collecting system |
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| CN103500269B (en) | 2017-04-05 |
| CN103500269A (en) | 2014-01-08 |
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