CN109799456B - Method and system for determining transient power angle stability of single-machine infinite system - Google Patents
Method and system for determining transient power angle stability of single-machine infinite system Download PDFInfo
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Abstract
The invention provides a method and a system for determining transient state power angle stability of a single-machine infinite system. The technical scheme of the invention does not depend on a model, does not need time domain simulation, does not need to determine the power angle information of the generator, can determine the transient power angle stability of the system only by measuring the rotating speed of the generator of a single-machine infinite system on line in real time by a wide-area measurement system, is simple and feasible in engineering and is easy to realize.
Description
Technical Field
The invention relates to the technical field of safety and stability control of an electric power system, in particular to a method and a system for determining transient power angle stability of a single-machine infinite system.
Background
The transient power angle stability is an important precondition for realizing the safe operation of the power system. In recent years, with the increasing of new energy permeability, the direct current transmission scale is continuously increased, the uncertainty of the operation mode of the power system is increased day by day, and the stability risk is continuously increased. The traditional transient power angle stability judgment needs to be carried out by relying on time domain simulation, the time consumption is too long, and the online implementation is difficult. Although the transient stability determination method based on real-time measurement information can get rid of dependence on simulation models and parameters, most of the transient stability determination methods need to measure power angle information of the generator and are still complicated.
Therefore, a method for simply and accurately judging the transient power angle stability of the system is needed.
Disclosure of Invention
The invention provides a method and a system for determining transient power angle stability of a single-machine infinite system, which aim to solve the problem of simply and accurately judging the transient power angle stability of the system.
In order to solve the above problem, according to an aspect of the present invention, there is provided a method for determining transient power angle stability of a single machine infinite system, the method comprising:
generator rotating speed omega for acquiring three continuous sampling moments in single-machine infinite system t 、ω t-1 And ω t-2 The sampling time t is the current sampling time, the sampling time t-1 is the previous sampling time of the sampling time t, and the sampling time t-2 is the previous sampling time of the sampling time t-1;
according to the rotating speed of the generator at each sampling moment and the rated rotating speed omega of the generator 0 Respectively calculating the rotation speed deviation delta omega of the generator at the sampling moment t 、Δω t-1 And Δ ω t-2 ；
According to the generator speed deviation of the sampling time t and the sampling time t-1 from the previous sampling time, respectively calculating the derivative d delta omega of the generator speed deviation of the sampling time t and the sampling time t-1 t And d Δ ω t-1 ；
According to the rotating speed deviation delta omega of the generator at the sampling time t and the sampling time t-1 t And Δ ω t-1 And the derivative d [ Delta ] [ omega ] of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 And determining the transient power angle stability of the single-machine infinite system at the sampling time t.
Further, the method further comprises:
generator rotation speed omega at three continuous sampling time t 、ω t-1 And omega t-2 Before, the short-circuit fault of the single-machine infinite system is cleared.
Further, the generator rotation speed omega at three continuous sampling moments is acquired through a wide area measurement system t 、ω t-1 And omega t-2 。
Further, the derivative d delta omega of the generator speed deviation of the sampling time t and the sampling time t-1 is calculated according to the generator speed deviation of the sampling time t and the sampling time t-1 from the previous sampling time respectively t And d Δ ω t-1 The calculation formula is as follows:
in the formula, Δ t is the time interval between the sampling time t and the previous sampling time t-1, and Δ t-1 is the time interval between the sampling time t-1 and the previous sampling time t-2.
Further, the rotation speed deviation delta omega of the generator at the sampling time t and the sampling time t-1 t And Δ ω t-1 And the derivative d [ delta ] omega ] of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 Determining the transient power angle stability of the single-machine infinite system at the sampling time t comprises the following steps:
when the stability judgment condition is met, determining that the transient state power angle of the single-machine infinite system is unstable at the sampling moment t, and when the stability judgment condition is not met, determining that the transient state power angle of the single-machine infinite system is stable at the sampling moment t, wherein the stability judgment condition is as follows:
Δω t >0，
dΔω t >0，
further, the rotating speed of the generator is the generator end frequency of the generator at the sampling moment provided by the wide area measurement system.
According to another aspect of the present invention, there is provided a system for determining transient power angle stability of a single-machine infinite system, the system comprising:
a data acquisition unit for acquiring the generator rotation speed omega at three successive sampling moments in a single-machine infinite system t 、ω t-1 And omega t-2 The sampling time t is the current sampling time, the sampling time t-1 is the previous sampling time of the sampling time t, and the sampling time t-2 is the previous sampling time of the sampling time t-1;
a rotation speed deviation calculation unit for calculating a rated rotation speed omega of the generator according to the rotation speed of the generator at each sampling moment 0 Respectively calculating the rotation speed deviation delta omega of the generator at the sampling moment t 、Δω t-1 And Δ ω t-2 ；
A deviation derivative calculation unit for calculating a derivative d Δ ω of the generator speed deviation at the sampling time t and the sampling time t-1, respectively, from the previous sampling time t And d Δ ω t-1 ；
A stability determination unit for determining a rotational speed deviation Δ ω according to the rotational speed deviation Δ ω of the generator at a sampling time t and a sampling time t-1 t And Δ ω t-1 And the derivative d [ delta ] omega [ omega ] of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 And determining the transient power angle stability of the single-machine infinite system at the sampling time t.
Further, the system further comprises:
a fault clearing unit for the generator speed ω at the time of acquisition of three successive sampling instants t 、ω t-1 And ω t-2 Before, the short-circuit fault of the single-machine infinite system is cleared.
Further, the data acquisition unit acquires the rotating speed omega of the generator at three continuous sampling moments through the wide area measurement system t 、ω t-1 And ω t-2 。
Further, the deviation derivative unit calculates the derivative d Δ ω of the generator speed deviation at the sampling time t and the sampling time t-1 according to the generator speed deviation at the sampling time t and the sampling time t-1 from the previous sampling time, respectively t And d Δ ω t-1 The calculation formula is as follows:
where Δ t is the time interval between the sampling time t and the previous sampling time t-1, and Δ t-1 is the time interval between the sampling time t-1 and the previous sampling time t-2.
Further, the stability determination unit determines the rotation speed deviation delta omega of the generator at the sampling time t and the sampling time t-1 t And Δ ω t-1 And the derivative d delta omega of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 Determining the transient power angle stability of the single-machine infinite system at the sampling time t comprises the following steps:
when the stability judgment condition is met, determining that the transient state power angle of the single-machine infinite system is unstable at the sampling moment t, and when the stability judgment condition is not met, determining that the transient state power angle of the single-machine infinite system is stable at the sampling moment t, wherein the stability judgment condition is as follows:
△ω t >0，
d△ω t >0，
further, the generator speed acquired by the data acquisition unit is the generator end frequency of the generator at the sampling moment provided by the wide area measurement system.
The invention provides a method and a system for determining transient state power angle stability of a single-machine infinite system. The technical scheme of the invention does not depend on a model, does not need time domain simulation, does not need to determine the power angle information of the generator, can determine the transient power angle stability of the system only by measuring the rotating speed of the generator of a single-machine infinite system on line in real time by a wide-area measurement system, is simple and feasible in engineering and is easy to realize.
Drawings
A more complete understanding of exemplary embodiments of the present invention may be had by reference to the following drawings in which:
fig. 1 is a flow chart of a method 100 of determining transient power angle stability of a single machine infinite system according to an embodiment of the invention;
FIG. 2 is a schematic diagram of a speed deviation curve of a stand-alone infinity system after clearing a short-circuit fault according to an embodiment of the present invention;
FIG. 3 is a schematic illustration of a derivative curve of engine speed deviation for a single machine infinite system according to an embodiment of the present invention;
FIG. 4 is a diagram illustrating the transient power angle stability determination result of a single-machine infinite system according to an embodiment of the present invention; and
fig. 5 is a schematic structural diagram of a system 300 for determining transient power angle stability of a system according to an embodiment of the present invention.
Detailed Description
The exemplary embodiments of the present invention will now be described with reference to the accompanying drawings, however, the present invention may be embodied in many different forms and is not limited to the embodiments described herein, which are provided for complete and complete disclosure of the present invention and to fully convey the scope of the present invention to those skilled in the art. The terminology used in the exemplary embodiments illustrated in the accompanying drawings is not intended to be limiting of the invention. In the drawings, the same units/elements are denoted by the same reference numerals.
Unless otherwise defined, terms (including technical and scientific terms) used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs. Further, it will be understood that terms, such as those defined in commonly used dictionaries, should be interpreted as having a meaning that is consistent with their meaning in the context of the relevant art and will not be interpreted in an idealized or overly formal sense.
Fig. 1 is a flow chart of a method 100 for determining transient power angle stability of an infinite system of a single machine according to an embodiment of the present invention. As shown in fig. 1, the method 100 for determining the transient power angle stability of the single machine infinite system according to the preferred embodiment starts with step 101.
In step 101, the generator speed ω at three consecutive sampling moments is collected in a single-machine infinite system t 、ω t-1 And ω t-2 The sampling time t is the current sampling time, the sampling time t-1 is the previous sampling time of the sampling time t, and the sampling time t-2 is the previous sampling time of the sampling time t-1.
In step 102, the generator speed and the rated generator speed ω at each sampling moment are used 0 Respectively calculating the rotating speed deviation delta omega of the generator at the sampling moment t 、△ω t-1 And Δ ω t-2 。
In the preferred embodiment, the generator speed deviation Δ ω t 、△ω t-1 And Δ ω t-2 The calculation formula of (2) is as follows:
△ω t ＝ω t -ω 0 ，
△ω t-1 ＝ω t-1 -ω 0 ，
△ω t-2 ＝ω t-2 -ω 0 。
in step 103, the generator is operated according to the sampling time t and the sampling time t-1 and the previous sampling timeThe derivative d delta omega of the generator rotation speed deviation of the sampling time t and the sampling time t-1 is respectively calculated by the rotation speed deviation t And d Δ ω t-1 。
In step 104, the rotation speed deviation Delta omega of the generator at the sampling time t and the sampling time t-1 is calculated t And Δ ω t-1 And the derivative d delta omega of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 And determining the transient power angle stability of the single-machine infinite system at the sampling time t.
Preferably, the method further comprises:
generator rotation speed omega at three continuous sampling time t 、ω t-1 And ω t-2 Before, the short-circuit fault of the single-machine infinite system is cleared.
Fig. 2 is a schematic diagram of a rotational speed deviation curve of a single-machine infinite system after clearing a short-circuit fault according to an embodiment of the present invention. As shown in fig. 2, the rotational speed deviation curve of the single-machine infinite system after the short-circuit fault is a sine wave in which the amplitudes of the peak and the valley are gradually increased before 3500 time step, but the valley value of the sine wave is rapidly increased after 3500 time step.
Preferably, the generator rotation speed omega at three continuous sampling moments is acquired by a wide-area measurement system t 、ω t-1 And omega t-2 。
Preferably, the derivative d Δ ω of the generator speed deviation at the sampling time t and the sampling time t-1 is calculated according to the generator speed deviation of the sampling time t and the sampling time t-1 from the previous sampling time respectively t And d Δ ω t-1 The calculation formula is as follows:
in the formula, Δ t is the time interval between the sampling time t and the previous sampling time t-1, and Δ t-1 is the time interval between the sampling time t-1 and the previous sampling time t-2.
FIG. 3 is a schematic illustration of a derivative curve of engine speed deviation for a single machine infinite system according to an embodiment of the invention. As shown in fig. 3, the derivative of the engine speed deviation of the single-engine infinite system in fig. 2 results in a larger increase in the valley value at a point after 3500 time step than at the first few valley points.
Preferably, the rotation speed deviation Δ ω according to the generator at the sampling time t and the sampling time t-1 t And Δ ω t-1 And the derivative d [ delta ] omega ] of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 Determining the transient power angle stability of the single-machine infinite system at the sampling time t comprises the following steps:
when the stability judgment condition is met, determining that the transient power angle of the single machine infinite system is unstable at the sampling moment t, and when the stability judgment condition is not met, determining that the transient power angle of the single machine infinite system is stable at the sampling moment t, wherein the stability judgment condition is as follows:
Δω t >0，
dΔω t >0，
fig. 4 is a diagram illustrating the result of determining transient power angle stability for a single machine infinity system according to an embodiment of the present invention. As shown in fig. 4, if the result value that meets the stability determination condition is 0 and the result value that does not meet the stability determination condition is 1, it is determined that the transient power angle of the system is unstable at the 3740 th time step.
Preferably, the generator speed is the generator-side frequency of the generator at the sampling time provided by the wide-area measurement system.
Fig. 5 is a schematic structural diagram of a system 300 for determining transient power angle stability of a system according to an embodiment of the present invention. As shown in fig. 5, the system 500 for determining the transient power angle stability of the single machine infinite system according to the preferred embodiment includes:
a data acquisition unit 501 for acquiring the generator rotation speed ω at three consecutive sampling moments in a single machine infinite system t 、ω t-1 And ω t-2 The sampling time t is the current sampling time, the sampling time t-1 is the previous sampling time of the sampling time t, and the sampling time t-2 is the previous sampling time of the sampling time t-1;
a rotational speed deviation calculation unit 502 for calculating a generator rotational speed and a generator rated rotational speed ω according to the generator rotational speed and the generator rated rotational speed ω at each sampling time 0 Respectively calculating the rotation speed deviation delta omega of the generator at the sampling moment t 、Δω t-1 And Δ ω t-2 ；
A deviation derivative calculation unit 503 for calculating a derivative d Δ ω of the generator speed deviation at the sampling time t and the sampling time t-1, respectively, from the generator speed deviation at the previous sampling time at the sampling time t and the sampling time t-1, respectively t And d Δ ω t-1 ；
A stability determination unit 504 for determining a rotational speed deviation Δ ω according to the rotational speed deviation Δ ω of the generator at a sampling time t and a sampling time t-1 t And Δ ω t-1 And the derivative d delta omega of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 And determining the transient power angle stability of the single-machine infinite system at the sampling time t.
Preferably, the system 500 further comprises:
a fault clearing unit 505 for the generator speed ω at the time of acquiring three consecutive sampling instants t 、ω t-1 And ω t-2 Before, the short-circuit fault of the single-machine infinite system is cleared.
Preferably, the data acquisition unit acquires the generator rotation speed omega at three continuous sampling moments through the wide-area measurement system t 、ω t-1 And ω t-2 。
Preferably, the deviation derivative unit calculates the derivative d Δ ω of the generator speed deviation at the sampling time t and the sampling time t-1, respectively, based on the generator speed deviation at the sampling time t and the sampling time t-1, respectively, from the previous sampling time t And d Δ ω t-1 The calculation formula is as follows:
in the formula, Δ t is the time interval between the sampling time t and the previous sampling time t-1, and Δ t-1 is the time interval between the sampling time t-1 and the previous sampling time t-2.
Preferably, the stability determination unit is adapted to determine the rotational speed deviation Δ ω of the generator at the sampling time t and the sampling time t-1 t And Δ ω t-1 And the derivative d [ delta ] omega ] of the deviation of the rotational speed of the generator at the sampling instant t and the sampling instant t-1 t And d Δ ω t-1 Determining the transient power angle stability of the single-machine infinite system at the sampling time t comprises the following steps:
when the stability judgment condition is met, determining that the transient state power angle of the single-machine infinite system is unstable at the sampling moment t, and when the stability judgment condition is not met, determining that the transient state power angle of the single-machine infinite system is stable at the sampling moment t, wherein the stability judgment condition is as follows:
△ω t >0，
d△ω t >0，
preferably, the generator speed acquired by the data acquisition unit 501 is the generator end frequency of the generator at the sampling time provided by the wide area measurement system.
The invention has been described with reference to a few embodiments. However, other embodiments of the invention than the ones disclosed above are equally possible within the scope of these appended patent claims, as these are known to those skilled in the art.
Generally, all terms used in the claims are to be interpreted according to their ordinary meaning in the technical field, unless explicitly defined otherwise herein. All references to "a/an/the [ device, component, etc ]" are to be interpreted openly as referring to at least one instance of said device, component, etc., unless explicitly stated otherwise. The steps of any method disclosed herein do not have to be performed in the exact order disclosed, unless explicitly stated.
Claims (8)
1. A method for determining transient power angle stability of a single machine infinite system is characterized by comprising the following steps:
generator rotating speed for acquiring three continuous sampling moments in single-machine infinite system
、 
And
wherein the sampling time
For the current sampling instant, the sampling instant
As the moment of sampling
The previous sampling time, the sampling time
As the moment of sampling
Previous sampling instant of；
According to the rotating speed of the generator at each sampling moment and the rated rotating speed of the generator
Respectively calculating the rotation speed deviation of the generator at the sampling moment
、 
And
；
according to the sampling time
And the sampling time
Respectively calculating the sampling time with the generator speed deviation of the previous sampling time
And the sampling time
Of the generator speed deviation
And
the calculation formula is as follows:
in the formula (I), the compound is shown in the specification,
as the moment of sampling
And the previous sampling instant
The time interval of (a) is,
as the moment of sampling
And the previous sampling instant
The time interval of (c);
according to the generator at the sampling time
And the sampling time
Deviation of rotational speed of
And
and the generator is at the sampling moment
And the sampling time
Derivative of rotational speed deviation of
And
determining the sampling time of a single-machine infinite system
Comprises:
when the stability judgment condition is satisfied, determining the sampling time
The transient state power angle of the single-machine infinite system is unstable, and when the stability judgment condition is not met, the sampling moment is determined
And the transient power angle of the single infinite system is stable, wherein the stability judgment condition is as follows:
2. the method of claim 1, further comprising:
generator speed at three successive sampling instants
、 
And
before, the short-circuit fault of the single-machine infinite system is cleared.
3. The method of claim 1, wherein the generator speed is collected by a wide area measurement system at three consecutive sampling times
、 
And
。
4. the method according to any one of claims 1-3, wherein the generator speed is the generator-side frequency at the sampling time provided by the wide-area measurement system.
5. A system for determining transient power angle stability of a single machine infinite system, the system comprising:
a data acquisition unit for acquiring the rotation speed of the generator at three successive sampling moments in a single-machine infinite system
、 
And
wherein the sampling time
For the current sampling instant, the sampling instant
As the moment of sampling
The previous sampling time, the sampling time
As the moment of sampling
The previous sampling instant of (c);
a rotation speed deviation calculation unit for calculating the rotation speed of the generator according to the rotation speed of the generator and the rated rotation speed of the generator at each sampling moment
Respectively calculating the rotation speed deviation of the generator at the sampling moment
、 
And
；
a deviation derivative calculation unit for calculating a deviation derivative according to the sampling time
And the sampling time
Respectively calculating the sampling time with the generator speed deviation of the previous sampling time
And the sampling time
Derivative of generator speed deviation
And
the calculation formula is as follows:
in the formula (I), the compound is shown in the specification,
as the moment of sampling
And the previous sampling instant
The time interval of (a) is,
as the moment of sampling
And the previous sampling time
The time interval of (c);
a stability determination unit for determining a stability of the generator based on the generator's sampling time
And the sampling time
Rotational speed deviation of
And
and the generator is at the sampling moment
And the sampling time
Derivative of rotational speed deviation of
And
determining the sampling time of a single-machine infinite system
Comprises:
when full ofWhen the foot stability judgment condition is satisfied, the sampling time is determined
The transient state power angle of the single-machine infinite system is unstable, and when the stability judgment condition is not met, the sampling moment is determined
The transient state power angle of the single machine infinite system is stable, wherein the stability judgment condition is as follows:
6. the system of claim 5, further comprising:
a fault clearing unit for the generator speed at the time of acquiring three successive sampling instants
、
And
before, the short-circuit fault of the single-machine infinite system is cleared.
7. The system of claim 5, wherein data acquisitionThe integrated unit collects the rotating speed of the generator at three continuous sampling moments through the wide area measurement system
、
And
。
8. the system according to any one of claims 5-7, wherein the generator speed collected by the data collection unit is the generator-end frequency of the generator at the sampling time provided by the wide-area measurement system.
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