CN113484575B - Power angle search-based generator phase advance capability pre-evaluation method, equipment and medium - Google Patents
Power angle search-based generator phase advance capability pre-evaluation method, equipment and medium Download PDFInfo
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- CN113484575B CN113484575B CN202110834819.8A CN202110834819A CN113484575B CN 113484575 B CN113484575 B CN 113484575B CN 202110834819 A CN202110834819 A CN 202110834819A CN 113484575 B CN113484575 B CN 113484575B
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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/34—Testing dynamo-electric machines
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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
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Abstract
The invention provides a method, equipment and medium for pre-evaluating the phase-advancing capability of a generator based on power angle search, which comprises the following steps of S1: constructing an infinite equivalent system of the generator, and acquiring an expression relation between each phase-entering related variable of the generator and the active power and voltage of the high-voltage side of the step-up transformer at the static stability limit according to the system; s2: obtaining and inputting the active working condition of a given generator, and initializing a system voltage value to be a system voltage lower limit allowed by scheduling; s3: calculating the generator terminal voltage, the generator terminal reactive power, the high-voltage service voltage, the generator terminal current and the external power angle of the current generator; s4: and (5) performing limited judgment on the result, outputting the phase advance depth if the condition is met, and otherwise executing S5: and establishing an optimized solving model based on power angle search, and obtaining the maximum external power angle of the safe phase advance of the generator and the corresponding maximum phase advance depth by the solving model. The method is based on the power angle search algorithm, realizes efficient and quick estimation of the phase advance capability of the generator, and simultaneously ensures the precision of pre-estimation.
Description
Technical Field
The invention relates to the technical field of generator control, in particular to a generator phase-entering capability pre-evaluation method, device and medium based on power angle search.
Background
The in-phase operation of the synchronous generator is an important means for enhancing the voltage regulation capability of the power grid, has an obvious effect on solving the problem of high voltage at a pivot point in a low-valley load period of the power system, and has the advantages of good voltage regulation effect, convenience in operation, economic investment and the like; furthermore, the phase advance capability is an important index for inspecting the grid-related performance of the generator. At present, a phase advance test method is generally adopted in engineering, and the phase advance capability of a unit is determined based on a relevant phase advance standard.
Considering that the phase advance test is carried out by the unit under the condition of grid connection with load, and along with the limit test of the phase advance depth of the unit in the test, risks of causing unit protection action, even tripping and the like may exist; therefore, in order to ensure the safety of the phase advancing test process, the phase advancing capability of the starting motor needs to be evaluated in advance before the test, and a reference basis is provided for the tester to carry out phase advancing depth control.
The method for evaluating the phase advance capability of the unit is based on enumeration thought, and adopts an off-line power flow simulation means to simulate various phase advance working conditions to obtain generator terminal voltage, service voltage, power angle, system transient stability and the like under corresponding working conditions, and the maximum phase advance depth of the generator is obtained according to constraint conditions; however, the method has the problems of large calculation workload, time consumption, uncertainty of calculation precision, incapability of being used for online evaluation and the like.
Disclosure of Invention
In order to solve the technical problems, the invention provides a generator phase advance capability pre-evaluation method, equipment and medium based on power angle search, which have the advantages of rapidness, high efficiency, high precision and convenient application, can be used for guiding a generator phase advance test, improving the safety of the test process, and can also be used for on-line evaluation and monitoring of the generator phase advance capability
The invention provides a generator phase-entering capability pre-evaluation method based on power angle search, which comprises the following specific technical scheme:
s1: constructing an infinite equivalent system with load at the generator end of the generator, and deducing an expression relation among generator end voltage, generator end reactive power, high-voltage station service voltage, generator end current, an external power angle, active power at the high-voltage side outlet of the step-up transformer and voltage under a static stable limit according to the equivalent system;
s2: the active working condition of the generator is given and input, and the voltage of the high-voltage side of the booster transformer is initialized to be the lower limit value of the system voltage allowed by scheduling;
s3: obtaining system side active power according to the active working condition of the generator, and simultaneously calculating the generator terminal voltage, the generator terminal reactive power, the high-voltage service voltage, the generator terminal current and the external power angle of the current generator;
s4: and (4) limitation judgment, namely judging whether the obtained terminal voltage, the high-voltage service voltage and the terminal current do not reach a limit value, and if not, ensuring that the maximum phase advance depth of the generator meets the following formula:
Q G max ＝Q G lim (P,U min )
otherwise, executing the next step;
s5: and establishing an optimized solving model for power angle search, and obtaining the maximum external power angle of the safe phase advance of the generator and the corresponding maximum phase advance depth by the solving model.
Further, in S1, the specific process of obtaining the expression relationship is as follows:
establishing a system side power equation during the static stability limit, and solving the equation according to the active power and the voltage of the system side to obtain an expression relation of the reactive power of the system side under the static stability limit;
according to the expression relation of the reactive power of the system side under the static stability limit, the deduction transformation is carried out based on the load flow calculation principle to respectively obtain the expression relation of the generator terminal voltage, the generator terminal reactive power, the high-voltage plant voltage and the generator terminal current under the static stability limit.
Further, in S1, the external power angle is an included angle between a generator excitation electromotive force phasor and a generator step-up voltage variable high-voltage side voltage phasor.
Further, in S5, the specific process of model construction is as follows:
constructing an objective function, wherein the objective function is as follows:
wherein, U 0 Is the system voltage in the current operating condition, delta k Is an external work angle;
obtaining an external power angle delta k The constraint conditions comprise generator exciting electromotive force, reactive power at a high-voltage side outlet of a booster transformer, generator terminal voltage and high-voltage service voltage U L And terminal current I G The constraint conditions are as follows:
wherein, U GN 、U LN 、I GN The rated voltage of the generator terminal, the rated voltage of the high-voltage plant and the rated stator current are respectively, and eta is a coefficient.
Furthermore, the coefficients are set to different values according to different generator set types, the thermal power generating unit is set to 0.95, and the hydroelectric generating unit is set to 0.9.
The present invention also provides a computer apparatus, the apparatus comprising:
a memory for storing a program;
and the processor is used for operating the program stored in the memory to execute the generator phase advancing capability pre-evaluation method.
The invention also provides a computer storage medium, wherein computer program instructions are stored on the computer storage medium and are executed by a processor to realize the generator phase advancing capability pre-evaluation method.
The invention has the following beneficial effects:
with the increase of the phase advance depth, a power angle search optimization model containing a target function and a constraint condition is constructed based on the change of an external power angle, the maximum phase advance depth of the unit under the current working condition is determined by adopting a power angle search algorithm, the constructed model is solved by adopting an optimization solving algorithm, and the corresponding maximum phase advance depth is obtained, so that the pre-evaluation of the phase advance capability of the generator is more efficient and faster, meanwhile, the precision of a final pre-estimated result is improved, and the safety of a test process is improved.
Drawings
FIG. 1 is a schematic flow diagram of the process of the present invention;
FIG. 2 is a schematic diagram of an equivalent system according to the present invention.
Detailed Description
In the following description, technical solutions in the embodiments of the present invention are clearly and completely described, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
Example 1
Embodiment 1 of the present invention provides a power angle search-based generator phase advance capability pre-evaluation method, as shown in fig. 1, specifically including the following steps:
s1: constructing an infinite equivalent system with load at the generator end of the generator to obtain an equivalent circuit model of the generator, as shown in FIG. 2;
according to the obtained equivalent circuit model, establishing an expression relation among generator terminal voltage, terminal reactive power, high-voltage service voltage, terminal current, an external power angle, active power of a high-voltage side outlet of a booster transformer of the system and voltage under a static stability limit;
in this embodiment, based on the equivalent circuit model, a relationship model between the power of the high-voltage side of the generator step-up transformer and the generator terminal voltage, the generator terminal reactive power, the high-voltage service voltage, and the generator terminal current at the static stability limit is constructed:
p, Q, U, X is the active power, reactive power, voltage and reactance of the high-voltage side outlet of the generator step-up transformer respectively; p L 、Q L Respectively representing active and reactive loads, X, of the generator-side high-voltage plant d 、X q 、X T 、X F Respectively representing d-axis and q-axis of the generator, a generator step-up transformer and a station transformer reactor;
in the system model, the resistances of the generator step-up transformer and the high-voltage substation branch are recorded as 0, namely the active power P of the high-voltage side outlet of the generator step-up transformer and the active power P of the generator terminal G And reactive power Q G The following relationship is satisfied:
P＝P G -P L
obtaining active power P and voltage U of an outlet at the high-voltage side of a generator step-up transformer, solving and calculating the power of the high-voltage side of the generator step-up transformer, the generator terminal voltage and the generator terminal reactive powerObtaining a relation model of reactive power Q, active power P and voltage U at the high-voltage side outlet of the generator booster transformer under the static stable limit by using the relation model of power, high-voltage station service voltage and terminal current, and recording as: q lim ＝f(P，U)。
And then according to the obtained relation model, obtaining the expression relations of generator terminal voltage, generator terminal reactive power, high-voltage service voltage and generator terminal current under the static stable limit based on generator load flow calculation, wherein the expression relations are respectively as follows:
deriving an external power angle of the generator at the static stability limit according to a phasor diagram of the synchronous generator, wherein the external power angle is a generator excitation electromotive force phasor in the embodiment
Is in phase quantity with the high-voltage side voltage of the generator step-up transformer>
The external power angle is as follows:
s2: the active working condition of the generator is given and input, and the voltage (namely the system voltage) of the high-voltage side of the boosting transformer is initialized to be the lower limit value of the system voltage allowed by scheduling;
obtaining the active working condition of a given generator, calculating to obtain the active power P of the outlet of the high-voltage side of the booster transformer of the generator, initializing the voltage value of the system, and assigning the voltage value as the lower limit U of the system voltage allowed by scheduling min 。
S3: according to the obtained active power P and the lower limit U of the system voltage min Respectively calculating the generator terminal voltage, the generator terminal reactive power, the high-voltage plant voltage, the generator terminal current and the external power angle of the generator in the step S1, and respectively recording the calculation results as U Glim (P,U min )、Q Glim (P,U min )、U Llim (P,U min )、I Glim (P,U min )、δ lim (P,U min )。
S4: judging whether the obtained generator terminal voltage, high-voltage service voltage and generator terminal current of the generator reach a phase-advancing limit value, if so, determining that the maximum phase-advancing depth of the generator under the working condition meets the following formula:
Q G max ＝Q G lim (P,U min )
if any one of the generator terminal voltage, the high-voltage station voltage and the generator terminal current of the generator reaches a limit value, namely the external power angle delta when the unit reaches the maximum phase advance depth max Is less than or equal to delta lim (P,U min ) And constructing an optimal solution model.
S5: establishing an optimized solving model for power angle search, and solving the model to obtain a maximum external power angle of a generator safe phase advance and a corresponding maximum phase advance depth;
the specific process is as follows:
first, an objective function is constructed, as follows:
wherein: u shape 0 Is the system voltage in the current operating condition, delta k Is an external power angle.
Then, obtaining system constraint conditions when the external power angle is the same, wherein the constraint conditions comprise constraints of generator exciting electromotive force, reactive power at a high-voltage side outlet of a booster transformer, generator terminal voltage, high-voltage plant voltage UL and generator terminal current IG, and the constraint conditions are as follows:
wherein, U GN 、U LN 、I GN Rated voltage at the generator end, rated voltage for high-voltage plant and rated stator current are respectively set; eta is a coefficient;
for different types of generator sets, different coefficient values are set, in this embodiment, the coefficient for the thermal power generating unit is set to 0.95, and the coefficient for the hydroelectric power generating unit is set to 0.9.
And finally, solving the model by adopting an optimization solving algorithm, such as a genetic algorithm, an ant colony algorithm and the like according to the obtained model to obtain the maximum phase-advancing safe external power angle of the generator and the corresponding maximum phase-advancing depth which meet the constraints, and outputting the result.
Example 2
Embodiment 2 of the present invention provides a computer apparatus, including:
a memory for storing a program;
a processor for operating the program stored in the memory to execute the generator phase advancing capability evaluation method described in embodiment 1 above.
Example 3
Embodiment 3 of the present invention provides a computer storage medium having stored thereon computer program instructions that, when executed by a processor, implement the generator phase advancing capability evaluation method described in embodiment 1 above.
The invention is not limited to the foregoing embodiments. The invention extends to any novel feature or any novel combination of features disclosed in this specification and any novel method or process steps or any novel combination of features disclosed.
Claims (6)
1. A generator phase advance capability pre-evaluation method based on power angle search is characterized by comprising the following steps:
s1: constructing an infinite equivalent system with load at the generator end of the generator, and acquiring an expression relation among generator end voltage, generator end reactive power, high-voltage service voltage, generator end current, an external power angle, active power at the high-voltage side outlet of the booster transformer and voltage under a static stability limit according to the equivalent system;
s2: the active working condition of the generator is given and input, and the voltage of the high-voltage side of the booster transformer is initialized to be the lower limit value of the system voltage allowed by scheduling;
s3: obtaining system side active power according to the active working condition of the generator, and simultaneously calculating the generator terminal voltage, the generator terminal reactive power, the high-voltage service voltage, the generator terminal current and the external power angle of the current generator;
s4: judging whether the obtained generator terminal voltage, the high-voltage plant voltage and the generator terminal current do not reach the limit value, if not, the maximum phase advance depth of the generator meets the following relation:
Q Gmax ＝Q Glim (P,U min )
wherein Q is Glim The reactive power at the generator terminal of the generator under the static stability limit is represented, P represents the active power at the outlet of the high-voltage side of the booster transformer of the generator, and U min Represents the lower limit of the outlet voltage of the high-voltage side of the generator step-up transformer, Q Gmax Representing the generator terminal reactive power of the generator when the unit reaches the maximum phase advance depth;
otherwise, executing S5;
s5: establishing an optimized solving model for power angle search, and solving the model to obtain a maximum external power angle of safe phase advance of the generator and a corresponding maximum phase advance depth;
the specific process of the model construction is as follows:
constructing an objective function, wherein the objective function is as follows:
wherein, U 0 Is the system voltage in the current operating condition, delta k Is an external power angle, P is the output active power of the high-voltage side of the generator step-up transformer, P L For the active load, X, of the generator-side high-voltage plant T For generator step-up transformer reactance, X F For the reactance, Q, of station transformer of generator L For reactive loads, U, at generator terminals for high-voltage plants G (δ k ) For an external power angle of delta k Terminal voltage of generator, Q (delta) k ) For an external power angle of delta k High-voltage side outlet reactive power Q of time booster transformer G (δ k ) For an external power angle of delta k The generator terminal reactive power of the generator;
obtaining an external power angle delta k System constraints including generator field EMF E q Reactive Q at high-voltage side outlet of step-up transformer and terminal voltage U of generator G High voltage station service voltage U L And terminal current I G The constraint conditions are as follows:
wherein, U GN 、U LN 、I GN The rated voltage at the generator end, the rated voltage for high-voltage plant and the rated stator current are respectively, eta is a coefficient, X d And X q D-and q-axis reactances, P, of the generator G And Q G Respectively representing active power and reactive power at the generator end, U G Representing the terminal voltage of the generator.
2. The method according to claim 1, wherein in S1, the specific process of obtaining the expression relationship is as follows:
establishing a system side power equation during the static stability limit, and solving the equation according to the active power and the voltage of the system side to obtain an expression relation of the reactive power of the system side under the static stability limit;
according to the expression relation of the reactive power of the system side under the static stability limit, the derivation transformation is carried out based on the load flow calculation principle to respectively obtain the expression relation of the generator terminal voltage, the generator terminal reactive power, the high-voltage service voltage and the generator terminal current under the static stability limit.
3. The method for pre-evaluating the phase advance capability of the generator based on the power angle search as claimed in any one of claims 1-2, wherein in the S1, the external power angle is an included angle between a generator excitation electromotive force phasor and a generator step-up voltage variable high-voltage side voltage phasor.
4. The power-angle-search-based generator phase advancing capability pre-evaluation method according to claim 1, wherein the coefficients are set to different values according to different generator set types, the thermal power generating unit is set to 0.95, and the hydroelectric power generating unit is set to 0.9.
5. A computer device, the device comprising:
a memory for storing a program;
a processor for executing the program stored in the memory to perform the method of any of claims 1-4.
6. A computer storage medium having computer program instructions stored thereon which, when executed by a processor, implement the method of any one of claims 1-4.
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| CN101957871B (en) * | 2010-06-28 | 2012-10-03 | 江苏方天电力技术有限公司 | Phase advance capability modeling method of synchronous generator based on forward propagation NN (Neural Network) |
| JP5465734B2 (en) * | 2012-01-25 | 2014-04-09 | 中国電力株式会社 | Reactive power control device and method for operating generator using the reactive power control device |
| CN102570470B (en) * | 2012-02-15 | 2013-12-25 | 河海大学 | Transient stability-based generator phase advancing depth determination method |
| CN105375487B (en) * | 2015-12-11 | 2018-01-12 | 东南大学 | A kind of modeling method of generating set under-excitation ability |
| CN106099979B (en) * | 2016-07-19 | 2018-06-26 | 国网河北省电力公司电力科学研究院 | A kind of unit under-excitation ability analysis method for considering stabilization of power grids limitation |
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