CN113036717A - Method and system for simulating static-stability low-impedance drop-shaped line boundary of demagnetization protection - Google Patents
Method and system for simulating static-stability low-impedance drop-shaped line boundary of demagnetization protection Download PDFInfo
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Abstract
The invention discloses a method and a system for simulating a static low-impedance drop line boundary of field loss protection.
Description
Technical Field
The invention relates to a method and a system for simulating a static low-impedance drop line boundary of demagnetization protection, and belongs to the field of demagnetization protection.
Background
The electrical structures of the hydraulic generator and the thermal generator are different, the static low-impedance boundary of the demagnetization protection of the hydraulic generator is determined not to be an offset circle but to be a drop-shaped line boundary, and the current static low-impedance boundary simulation of the demagnetization protection of the hydraulic generator has the following two methods: 1. the simulation replacement is carried out by adopting the same offset circle impedance boundary as the thermal power generator, so that some actual deviation cannot be avoided; 2. the impedance boundary of the drop line is simulated and realized by adopting a method of snapshot interpolation, theoretically, the impedance boundary of the drop line simulated by the snapshot interpolation method has better degree of closure, the more and denser the number of points of the extracted interpolation is, however, the excessive number of points can increase the calculation amount and is not convenient to set. Therefore, a simulation method which is simple to implement, convenient to set, small in calculated amount and high in precision is urgently needed.
Disclosure of Invention
The invention provides a method and a system for simulating a static low-impedance drop line boundary of a loss-of-field protection, which solve the problems disclosed in the background technology.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows:
a method for simulating the boundary of a static low-impedance drop line for loss-of-field protection comprises,
acquiring a positive direction starting angle of a Y axis of an impedance plane, a negative direction ending angle of the Y axis and a circle center positioning index of an offset circle simulating a drop line boundary from an empirical parameter table according to the ratio of a direct axis synchronous reactance of a generator to a quadrature axis synchronous reactance of the generator;
calculating an initial position and an end position offset circle according to a connection reactance of the generator and the power system, a generator quadrature axis synchronous reactance, a Y-axis positive direction initial angle and a Y-axis negative direction end angle of the impedance plane;
responding to the loss of excitation protection of the generator, calculating the changed impedance measured at the generator end and the impedance angle of the impedance measured at the generator end in real time, and calculating the offset circle corresponding to the real-time impedance angle according to the impedance angle of the impedance measured at the generator end, the circle center positioning index of the offset circle, the circle center of the offset circle at the initial position and the circle center of the offset circle at the termination position.
Measuring the boundary of the impedance angle of 90 degrees corresponding to the impedance at the end of the initial position offset circle; the termination position offset circle corresponds to the boundary of the terminal measured impedance corresponding to the impedance angle-90 deg..
The offset circles for the start and end positions are calculated by the formula,
the center of the initial position offset circle is,
the radius of the start position offset circle is,
wherein, Xs、YsRespectively as the X coordinate and the Y coordinate of the center of the offset circle of the initial position; a isstartStarting an angle in the positive direction of the Y axis of the impedance plane; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance; r issThe radius of the offset circle for the starting position;
the formula for calculating the end position offset circle is,
the end position offset circle has a center of a circle,
the radius of the end position offset circle is,
wherein, Xe、YeRespectively an X coordinate and a Y coordinate of the center of the offset circle of the termination position; a isendIs the Y-axis negative direction termination angle of the impedance plane; r iseThe radius of the circle is offset for the termination location.
The formula for calculating the offset circle corresponding to the real-time impedance angle is,
the center of the offset circle corresponding to the real-time impedance angle is,
the radius of the offset circle corresponding to the real-time impedance angle is,
wherein,
respectively, with a real-time impedance angle thetac' X coordinate and Y coordinate corresponding to the center of the offset circle;
is at an angle theta to the real-time impedancec' radius of the corresponding offset circle; xsShifting the X coordinate of the center of the circle for the starting position; xeShifting the X coordinate of the center of the circle for the termination position; n is an offset circle center positioning index; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance;
A static-stability low-impedance drop-shaped line boundary simulation system for magnetic loss protection comprises,
a parameter acquisition module: acquiring a positive direction starting angle of a Y axis of an impedance plane, a negative direction ending angle of the Y axis and a circle center positioning index of an offset circle simulating a drop line boundary from an empirical parameter table according to the ratio of a direct axis synchronous reactance of a generator to a quadrature axis synchronous reactance of the generator;
a starting position offset circle calculation module: calculating an initial position and an end position offset circle according to a connection reactance of the generator and the power system, a generator quadrature axis synchronous reactance, a Y-axis positive direction initial angle and a Y-axis negative direction end angle of the impedance plane;
the real-time impedance angle corresponding offset circle calculation module: responding to the loss of excitation protection of the generator, calculating the changed impedance measured at the generator end and the impedance angle of the impedance measured at the generator end in real time, and calculating the offset circle corresponding to the real-time impedance angle according to the impedance angle of the impedance measured at the generator end, the circle center positioning index of the offset circle, the circle center of the offset circle at the initial position and the circle center of the offset circle at the termination position.
Measuring the boundary of the impedance angle of 90 degrees corresponding to the impedance at the end of the initial position offset circle; the termination position offset circle corresponds to the boundary of the terminal measured impedance corresponding to the impedance angle-90 deg..
The starting position offset circle calculating module calculates the starting position and ending position offset circles by the formula,
the center of the initial position offset circle is,
the radius of the start position offset circle is,
wherein, Xs、YsRespectively as the X coordinate and the Y coordinate of the center of the offset circle of the initial position; a isstartStarting an angle in the positive direction of the Y axis of the impedance plane; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance; r issThe radius of the offset circle for the starting position;
the formula for calculating the end position offset circle is,
the end position offset circle has a center of a circle,
the radius of the end position offset circle is,
wherein, Xe、YeRespectively an X coordinate and a Y coordinate of the center of the offset circle of the termination position; a isendIs the Y-axis negative direction termination angle of the impedance plane; r iseThe radius of the circle is offset for the termination location.
The real-time impedance angle corresponding offset circle calculation module calculates an offset circle corresponding to the real-time impedance angle according to a formula,
the center of the offset circle corresponding to the real-time impedance angle is,
the radius of the offset circle corresponding to the real-time impedance angle is,
wherein,
respectively, with a real-time impedance angle thetac' X coordinate and Y coordinate corresponding to the center of the offset circle;
is equal to real-time impedance angle theta'cThe radius of the corresponding offset circle; xsShifting the X coordinate of the center of the circle for the starting position; xeShifting the X coordinate of the center of the circle for the termination position; n is an offset circle center positioning index; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance;
A computer readable storage medium storing one or more programs, the one or more programs comprising instructions, which when executed by a computing device, cause the computing device to perform a method of demagnetization-protected quiet low impedance drop line boundary simulation.
A computing device comprising one or more processors, one or more memories, and one or more programs stored in the one or more memories and configured to be executed by the one or more processors, the one or more programs including instructions for performing a method of demagnetization-protected statically low impedance drop line boundary simulation.
The invention achieves the following beneficial effects: the invention calculates the offset circles of the starting position and the ending position through parameters, obtains the changed impedance angle in real time, calculates the offset circle corresponding to the real-time impedance angle, tracks the timely change of the impedance angle through the offset circle, realizes the simulation of the boundary of the drop-shaped line, has simple realization, convenient setting, no need of snapshot interpolation, small calculated amount, smooth action boundary and higher closing precision to the boundary of the drop-shaped line.
Drawings
FIG. 1 is a flow chart of the method of the present invention;
FIG. 2 is a diagram of a drip line boundary corresponding to a first parameter in the parameter table;
FIG. 3 is a diagram of a blob line boundary corresponding to a fifth parameter in the parameter table;
FIG. 4 is a diagram of a blob line boundary corresponding to a ninth parameter in the parameter table;
FIG. 5 is a diagram of a drip line boundary corresponding to a thirteenth parameter in the parameter table;
FIG. 6 is a diagram of a drip line boundary corresponding to a fifteenth parameter in the parameter table;
FIG. 7 is a simulated drop line boundary diagram.
Detailed Description
The invention is further described below with reference to the accompanying drawings. The following examples are only for illustrating the technical solutions of the present invention more clearly, and the protection scope of the present invention is not limited thereby.
As shown in fig. 1, the method for simulating the boundary of the static low-impedance drop line of the demagnetization protection comprises the following steps:
step 1, acquiring a positive direction starting angle of a Y axis of an impedance plane, a negative direction ending angle of the Y axis and a deviation circle center positioning index of a simulated drop line boundary from an empirical parameter table according to the ratio of a direct axis synchronous reactance of a generator to a quadrature axis synchronous reactance of the generator.
The experience parameter table is a recommended experience setting parameter table, and can be properly adjusted according to actual parameters during application, and the experience parameter table is shown in table 1:
TABLE 1 empirical parameter Table
Wherein, XdIs a generator direct-axis synchronous reactance; xqIs generator quadrature axis synchronous reactance; a isstartStarting an angle in the positive direction of the Y axis of the impedance plane; a isendIs the Y-axis negative direction termination angle of the impedance plane; n is an offset circle center positioning index; slashes indicate no correspondence.
And 2, calculating an initial position offset circle and an end position offset circle according to the connection reactance of the generator and the power system, the generator quadrature axis synchronous reactance, the Y-axis positive direction initial angle and the Y-axis negative direction end angle of the impedance plane, wherein the initial position offset circle and the end position offset circle are specifically the circle center and the radius of the initial position offset circle and the circle center and the radius of the end position offset circle.
Measuring the boundary of the impedance angle of 90 degrees corresponding to the impedance at the end of the initial position offset circle; the termination position offset circle corresponds to the boundary of the terminal measured impedance corresponding to the impedance angle-90 deg..
The center of the initial position offset circle is,
the radius of the start position offset circle is,
wherein, Xs、YsRespectively as the X coordinate and the Y coordinate of the center of the offset circle of the initial position; xconA connecting reactance for the generator and the power system; r issThe radius of the offset circle for the starting position;
the end position offset circle has a center of a circle,
the radius of the end position offset circle is,
wherein, Xe、YeRespectively an X coordinate and a Y coordinate of the center of the offset circle of the termination position; r iseThe radius of the circle is offset for the termination location.
And 3, responding to the loss of excitation protection of the generator, measuring the impedance at the generator end and the impedance angle of the impedance measured at the generator end in real time, and calculating the offset circle corresponding to the real-time impedance angle, namely the center and the radius of the offset circle according to the impedance angle of the impedance measured at the generator end, the center positioning index of the offset circle, the center of the offset circle at the initial position and the center of the offset circle at the final position, so that the drop line boundary simulation shown in the figure 7 is realized.
Real-time acquisition of the measured impedance Z at the terminalc＝Xc+jYc，XcMeasuring the real part of the impedance, Y, for the terminalscFor measuring the imaginary part of the impedance at the terminal, the real-time impedance angle is
When the impedance measured by the terminal end changes in the first quadrant and the fourth quadrant, the change range of the impedance angle is (90 degrees, -90 degrees).
Calculating an offset circle corresponding to the real-time impedance angle as follows:
the center of the offset circle corresponding to the real-time impedance angle is,
the radius of the offset circle corresponding to the real-time impedance angle is,
wherein,
respectively, with a real-time impedance angle thetacThe X coordinate and the Y coordinate corresponding to the center of the offset circle;
is at an angle theta to the real-time impedancecCorresponding to the radius of the offset circle.
Because the boundary graph of the drop line is in mirror symmetry with the Y axis, the impedance Z can be measured at the machine end of the two-quadrant, the three-quadrant and the one-quadrant and the four-quadrantcMerging, taking ZcAbsolute value of its real part Zc′＝|Xc|+jYcThen calculate the impedance angle
Calculating an offset circle corresponding to the current impedance angle by the same method according to the circle center positioning index of the offset circle;
wherein,
respectively, with a real-time impedance angle thetac' X coordinate and Y coordinate corresponding to the center of the offset circle;
is at an angle theta to the real-time impedancec' corresponds to the radius of the offset circle.
According to the relationship between the measured impedance at the discriminator end and the corresponding offset circle, if
And the machine end measured impedance enters the offset circle, namely the machine end measured impedance of any quadrant enters the impedance boundary of the analog drop-shaped line, otherwise, the machine end measured impedance does not enter the impedance boundary of the analog drop-shaped line, and corresponding demagnetization protection judgment is carried out.
The method calculates the offset circles of the starting position and the ending position through parameters, obtains the changed impedance angle in real time, calculates the offset circle corresponding to the real-time impedance angle, tracks the timely change of the impedance angle through the offset circle, realizes the simulation of the boundary of the drop-shaped line, is simple to realize, is convenient to set, does not need snapshot interpolation, has small calculated amount, smooth action boundary and higher closing precision on the boundary of the drop-shaped line.
A static-stability low-impedance drop-shaped line boundary simulation system for magnetic loss protection comprises,
a parameter acquisition module: according to the ratio of the direct-axis synchronous reactance of the generator to the quadrature-axis synchronous reactance of the generator, acquiring the starting angle of the positive direction of the Y axis of the impedance plane, the ending angle of the negative direction of the Y axis of the impedance plane and the positioning index of the center of a deviation circle of the boundary of the simulated drop line from an empirical parameter table.
A starting position offset circle calculation module: and calculating the deviation circle of the starting position and the ending position according to the connection reactance of the generator and the power system, the generator quadrature axis synchronous reactance, the starting angle of the positive Y-axis direction of the impedance plane and the ending angle of the negative Y-axis direction of the impedance plane.
Measuring the boundary of the impedance angle of 90 degrees corresponding to the impedance at the end of the initial position offset circle; the termination position offset circle corresponds to the boundary of the terminal measured impedance corresponding to the impedance angle-90 deg..
The starting position offset circle calculating module calculates the starting position and ending position offset circles by the formula,
the center of the initial position offset circle is,
the radius of the start position offset circle is,
wherein, Xs、YsRespectively as the X coordinate and the Y coordinate of the center of the offset circle of the initial position; a isstartStarting an angle in the positive direction of the Y axis of the impedance plane; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance; r issThe radius of the offset circle for the starting position;
the formula for calculating the end position offset circle is,
the end position offset circle has a center of a circle,
the radius of the end position offset circle is,
wherein, Xe、YeRespectively an X coordinate and a Y coordinate of the center of the offset circle of the termination position; a isendIs the Y-axis negative direction termination angle of the impedance plane; r iseThe radius of the circle is offset for the termination location.
The real-time impedance angle corresponding offset circle calculation module: and responding to the loss of field of the generator, acquiring an impedance angle corresponding to the impedance measured at the generator end in real time, and calculating an offset circle corresponding to the real-time impedance angle according to the real-time impedance angle, the offset circle center positioning index, the center of the offset circle at the initial position and the center of the offset circle at the termination position.
The real-time impedance angle corresponding offset circle calculation module calculates an offset circle corresponding to the real-time impedance angle according to a formula,
the center of the offset circle corresponding to the real-time impedance angle is,
the radius of the offset circle corresponding to the real-time impedance angle is,
wherein,
respectively, with a real-time impedance angle thetac' X coordinate and Y coordinate corresponding to the center of the offset circle;
is at an angle theta to the real-time impedancec' radius of the corresponding offset circle; xsShifting the X coordinate of the center of the circle for the starting position; xeShifting the X coordinate of the center of the circle for the termination position; n is an offset circle center positioning index; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance;
A computer readable storage medium storing one or more programs, the one or more programs comprising instructions, which when executed by a computing device, cause the computing device to perform a method of demagnetization-protected quiet low impedance drop line boundary simulation.
A computing device comprising one or more processors, one or more memories, and one or more programs stored in the one or more memories and configured to be executed by the one or more processors, the one or more programs including instructions for performing a method of demagnetization-protected statically low impedance drop line boundary simulation.
As will be appreciated by one skilled in the art, embodiments of the present application may be provided as a method, system, or computer program product. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, and the like) having computer-usable program code embodied therein.
The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each flow and/or block of the flow diagrams and/or block diagrams, and combinations of flows and/or blocks in the flow diagrams and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart flow or flows and/or block diagram block or blocks.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart flow or flows and/or block diagram block or blocks.
The present invention is not limited to the above embodiments, and any modifications, equivalent replacements, improvements, etc. made within the spirit and principle of the present invention are included in the scope of the claims of the present invention which are filed as the application.
Claims (10)
1. The method for simulating the boundary of the static low-impedance drop line of the demagnetization protection is characterized by comprising the following steps of: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
acquiring a positive direction starting angle of a Y axis of an impedance plane, a negative direction ending angle of the Y axis and a circle center positioning index of an offset circle simulating a drop line boundary from an empirical parameter table according to the ratio of a direct axis synchronous reactance of a generator to a quadrature axis synchronous reactance of the generator;
calculating an initial position and an end position offset circle according to a connection reactance of the generator and the power system, a generator quadrature axis synchronous reactance, a Y-axis positive direction initial angle and a Y-axis negative direction end angle of the impedance plane;
responding to the loss of excitation protection of the generator, calculating the changed impedance measured at the generator end and the impedance angle of the impedance measured at the generator end in real time, and calculating the offset circle corresponding to the real-time impedance angle according to the impedance angle of the impedance measured at the generator end, the circle center positioning index of the offset circle, the circle center of the offset circle at the initial position and the circle center of the offset circle at the termination position.
2. The method for simulating the boundary of the demagnetization-protected static low-impedance drop line according to claim 1, wherein the method comprises the following steps: measuring the boundary of the impedance angle of 90 degrees corresponding to the impedance at the end of the initial position offset circle; the termination position offset circle corresponds to the boundary of the terminal measured impedance corresponding to the impedance angle-90 deg..
3. The method for simulating the static low-impedance drop line boundary of the demagnetization protection, which is characterized by comprising the following steps of: the offset circles for the start and end positions are calculated by the formula,
the center of the initial position offset circle is,
the radius of the start position offset circle is,
wherein, Xs、YsRespectively as the X coordinate and the Y coordinate of the center of the offset circle of the initial position; a isstartStarting an angle in the positive direction of the Y axis of the impedance plane; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance; r issThe radius of the offset circle for the starting position;
the formula for calculating the end position offset circle is,
the end position offset circle has a center of a circle,
the radius of the end position offset circle is,
wherein, Xe、YeRespectively an X coordinate and a Y coordinate of the center of the offset circle of the termination position; a isendIs the Y-axis negative direction termination angle of the impedance plane; r iseThe radius of the circle is offset for the termination location.
4. The method for simulating the boundary of the demagnetization-protected static low-impedance drop line according to claim 1, wherein the method comprises the following steps: the formula for calculating the offset circle corresponding to the real-time impedance angle is,
the center of the offset circle corresponding to the real-time impedance angle is,
the radius of the offset circle corresponding to the real-time impedance angle is,
wherein,
are respectively at a real-time impedance angle theta'cThe X coordinate and the Y coordinate corresponding to the center of the offset circle;
is equal to real-time impedance angle theta'cThe radius of the corresponding offset circle; xsIs offset from the starting positionThe X coordinate of the center of the circle; xeShifting the X coordinate of the center of the circle for the termination position; n is an offset circle center positioning index; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance;
5. The static and stable low-impedance drop line boundary simulation system for the demagnetization protection is characterized in that: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
a parameter acquisition module: acquiring a positive direction starting angle of a Y axis of an impedance plane, a negative direction ending angle of the Y axis and a circle center positioning index of an offset circle simulating a drop line boundary from an empirical parameter table according to the ratio of a direct axis synchronous reactance of a generator to a quadrature axis synchronous reactance of the generator;
a starting position offset circle calculation module: calculating an initial position and an end position offset circle according to a connection reactance of the generator and the power system, a generator quadrature axis synchronous reactance, a Y-axis positive direction initial angle and a Y-axis negative direction end angle of the impedance plane;
the real-time impedance angle corresponding offset circle calculation module: responding to the loss of excitation protection of the generator, calculating the changed impedance measured at the generator end and the impedance angle of the impedance measured at the generator end in real time, and calculating the offset circle corresponding to the real-time impedance angle according to the impedance angle of the impedance measured at the generator end, the circle center positioning index of the offset circle, the circle center of the offset circle at the initial position and the circle center of the offset circle at the termination position.
6. The demagnetization-protected static low impedance drop line boundary simulation system of claim 5, wherein: measuring the boundary of the impedance angle of 90 degrees corresponding to the impedance at the end of the initial position offset circle; the termination position offset circle corresponds to the boundary of the terminal measured impedance corresponding to the impedance angle-90 deg..
7. The demagnetization-protected static low impedance drop line boundary simulation system according to claim 5 or 6, wherein: the starting position offset circle calculating module calculates the starting position and ending position offset circles by the formula,
the center of the initial position offset circle is,
the radius of the start position offset circle is,
wherein, Xs、YsRespectively as the X coordinate and the Y coordinate of the center of the offset circle of the initial position; a isstartStarting an angle in the positive direction of the Y axis of the impedance plane; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance; r issThe radius of the offset circle for the starting position;
the formula for calculating the end position offset circle is,
the end position offset circle has a center of a circle,
the radius of the end position offset circle is,
wherein, Xe、YeRespectively an X coordinate and a Y coordinate of the center of the offset circle of the termination position; a isendIs the Y-axis negative direction termination angle of the impedance plane; r iseThe radius of the circle is offset for the termination location.
8. The demagnetization-protected static low impedance drop line boundary simulation system of claim 5, wherein: the real-time impedance angle corresponding offset circle calculation module calculates an offset circle corresponding to the real-time impedance angle according to a formula,
the center of the offset circle corresponding to the real-time impedance angle is,
the radius of the offset circle corresponding to the real-time impedance angle is,
wherein,
are respectively at a real-time impedance angle theta'cThe X coordinate and the Y coordinate corresponding to the center of the offset circle;
is equal to real-time impedance angle theta'cThe radius of the corresponding offset circle; xsShifting the X coordinate of the center of the circle for the starting position; xeShifting the X coordinate of the center of the circle for the termination position; n is an offsetA circle center location index; xconA connecting reactance for the generator and the power system; xqIs generator quadrature axis synchronous reactance;
9. A computer readable storage medium storing one or more programs, characterized in that: the one or more programs include instructions that, when executed by a computing device, cause the computing device to perform any of the methods of claims 1-4.
10. A computing device, characterized by: comprises the steps of (a) preparing a mixture of a plurality of raw materials,
one or more processors, one or more memories, and one or more programs stored in the one or more memories and configured to be executed by the one or more processors, the one or more programs including instructions for performing any of the methods of claims 1-4.
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