CN116191405A - Capacitor bank trimming method and device, electronic equipment and storage medium - Google Patents
Capacitor bank trimming method and device, electronic equipment and storage medium Download PDFInfo
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/001—Methods to deal with contingencies, e.g. abnormalities, faults or failures
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/26—Arrangements for eliminating or reducing asymmetry in polyphase networks
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
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Abstract
The invention discloses a balancing method and device of a capacitor bank, electronic equipment and a storage medium. The balancing method of the capacitor bank comprises the following steps: constructing a calculation model of neutral point unbalanced current based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the bus of the transformer substation, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank; calculating the current neutral point unbalanced current of the capacitor bank by adopting a neutral point unbalanced current calculation model; and when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet the preset condition, adjusting the capacitor bank until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition. According to the technical scheme, the working efficiency of fault processing of the capacitor bank is improved, so that the fault processing speed of the capacitor bank is improved, and the fault capacitor bank can be timely powered back.
Description
Technical Field
The present invention relates to the field of power systems, and in particular, to a capacitor bank balancing method, a capacitor bank balancing device, an electronic device, and a storage medium.
Background
The capacitor bank plays a role in compensating reactive power and stabilizing system voltage in a power grid, and as the operation period grows, leakage or capacitance change of capacitor bank units can occur, so that unbalanced current of neutral points of the capacitor bank changes to cause protection tripping. The maintainer needs to process the capacitor bank on site, replace the faulty capacitor bank unit and trim the capacitor bank again to ensure that the unbalanced neutral current is within the range of the protection action value, and the parameter of the capacitor bank unit needs to be measured manually and adjusted after manual calculation during trimming. Especially for the 35kV double Y-shaped frame type capacitor bank unit of the 500kV transformer substation, the number of the capacitor bank units is up to about 120, so that the manual calculation amount is large, and the field working efficiency and the timely re-electricity of the capacitor bank are affected.
Disclosure of Invention
The invention provides a balancing method, a balancing device, electronic equipment and a storage medium for a capacitor bank, which are used for improving the working efficiency of fault processing of the capacitor bank, so that the fault processing speed of the capacitor bank is improved, and the fault capacitor bank can be timely powered back.
According to one aspect of the invention, a balancing method of a capacitor bank is provided, the capacitor bank is connected with a bus of a transformer substation, the capacitor bank comprises a first capacitor bank and a second capacitor bank, each of the first capacitor bank and the second capacitor bank comprises a three-phase bridge arm, and a current transformer is connected between neutral points of the first capacitor bank and the second capacitor bank; the balancing method of the capacitor bank comprises the following steps:
based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank, constructing a calculation model of the neutral point unbalanced current;
calculating the current neutral point unbalanced current of the capacitor bank by adopting a calculation model of the neutral point unbalanced current;
and when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet a preset condition, adjusting the capacitor bank until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
Optionally, the trimming method of the capacitor bank further comprises:
when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, determining that the capacitor bank is qualified in current trimming;
the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet the preset condition, and the method comprises the following steps: the current neutral point unbalanced current mode of the capacitor bank is larger than or equal to the current protection action value;
the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, and the relation comprises the following steps: and the current neutral point unbalanced current of the capacitor bank is smaller than the current protection action value in a mode.
Optionally, the constructing a calculation model of the neutral point unbalanced current based on a numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank, and the equivalent capacitance of each phase bridge arm of the second capacitor bank includes:
acquiring the equivalent capacitance of each phase of bridge arm of the first capacitor bank, the current on each phase of bridge arm, the equivalent capacitance of each phase of bridge arm of the second capacitor bank and the current on each phase of bridge arm;
Obtaining the equivalent admittance of each phase of the bridge arm of the first capacitor bank and the equivalent admittance of each phase of the bridge arm of the second capacitor bank according to the equivalent capacitance of each phase of the bridge arm of the first capacitor bank and the equivalent capacitance of each phase of the bridge arm of the second capacitor bank;
obtaining a numerical relation between neutral point unbalanced current of the capacitor bank and three-phase voltage of the transformer substation bus, equivalent capacitance of each phase leg of the first capacitor bank and equivalent capacitance of each phase of the second capacitor bank based on a numerical relation between neutral point unbalanced current of the capacitor bank and current of each phase leg of the first capacitor bank and current of each phase leg of the second capacitor bank, and current of each phase leg of the first capacitor bank and current of each phase leg of the second capacitor bank;
According to the numerical relation between the three-phase voltages of the transformer substation bus and the numerical relation between the neutral point unbalanced current of the capacitor bank and the three-phase voltages of the transformer substation bus, the equivalent capacitances of the bridge arms of each phase of the first capacitor bank and the equivalent capacitances of the bridge arms of each phase of the second capacitor bank, the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltages of the transformer substation bus, the equivalent capacitances of the bridge arms of each phase of the first capacitor bank and the equivalent capacitances of the bridge arms of each phase of the second capacitor bank is obtained;
and carrying out modular operation based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank, and constructing a calculation model of the neutral point unbalanced current.
Optionally, a numerical relationship between the neutral point unbalanced current of the capacitor bank and the three-phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank, and the equivalent capacitance of each phase bridge arm of the second capacitor bank includes:
The neutral point unbalanced current of the capacitor bank is related to the product of the A-phase voltage of the transformer substation bus and the first capacitance coefficient, the product of the B-phase voltage of the transformer substation bus and the second capacitance coefficient, and the product of the C-phase voltage of the transformer substation bus and the third capacitance coefficient;
the first capacitance coefficient, the second capacitance coefficient and the third capacitance coefficient are all related to the equivalent capacitance of each phase of the bridge arm of the first capacitor bank and the equivalent capacitance of each phase of the bridge arm of the second capacitor bank.
Optionally, a numerical relationship between the neutral point unbalanced current of the capacitor bank and the a-phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank, and the equivalent capacitance of each phase bridge arm of the second capacitor bank includes:
the neutral point imbalance current of the capacitor bank is related to a grid frequency, an a-phase voltage of the substation bus, the first capacitance factor, the second capacitance factor, and the third capacitance factor.
Optionally, the calculation model of neutral point unbalanced current is expressed as:
wherein I is In (a) Represents neutral point unbalance current of the capacitor bank, U A And representing the A-phase voltage of the substation bus, x represents a first capacitance coefficient, y represents a second capacitance coefficient, and z represents a third capacitance coefficient.
Optionally, the first capacitance coefficient, the second capacitance coefficient, and the third capacitance coefficient are respectively expressed as follows:
wherein x represents the first capacitance coefficient, y represents the second capacitance coefficient, z represents the third capacitance coefficient, C A1 Representing the equivalent capacitance of the A-phase bridge arm of the first capacitor bank, C B1 Representing the equivalent capacitance of the B-phase bridge arm of the first capacitor bank, C C1 Representing the equivalent capacitance of the C-phase bridge arm of the first capacitor bank, C A2 Representing the equivalent capacitance of the A-phase bridge arm of the second capacitor bank, C B2 Representing the equivalent capacitance of the B-phase bridge arm of the second capacitor bank, C C2 Representing the equivalent capacitance of the C-phase bridge arm of the second capacitor bank, C A =C A1 +C A2 ,C B =C B1 +C B2 ,C C =C C1 +C C2 。
According to another aspect of the invention, there is provided a balancing device for a capacitor bank, the capacitor bank being connected to a substation bus, the capacitor bank comprising a first capacitor bank and a second capacitor bank, the first capacitor bank and the second capacitor bank each comprising a three-phase bridge arm, a current transformer being connected between neutral points of the first capacitor bank and the second capacitor bank; the balancing device of the capacitor bank comprises:
The model construction module is used for constructing a calculation model of the neutral point unbalanced current based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the transformer substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank;
the current calculation module is used for calculating the current neutral point unbalanced current of the capacitor bank by adopting a calculation model of the neutral point unbalanced current;
and the first execution module is used for adjusting the capacitor bank when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet the preset condition, until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
According to another aspect of the present invention, there is provided an electronic apparatus including:
at least one processor; and
a memory communicatively coupled to the at least one processor; wherein,,
the memory stores a computer program executable by the at least one processor to enable the at least one processor to perform the capacitor bank balancing method according to any one of the embodiments of the present invention.
According to another aspect of the present invention, there is provided a computer readable storage medium storing computer instructions for causing a processor to execute a method for balancing a capacitor bank according to any one of the embodiments of the present invention.
According to the balancing method, the balancing device, the electronic equipment and the storage medium of the capacitor bank, based on the numerical relation between neutral point unbalanced current of the capacitor bank and phase voltage of a bus of a transformer substation, equivalent capacitance of each phase bridge arm of the first capacitor bank and equivalent capacitance of each phase bridge arm of the second capacitor bank, a neutral point unbalanced current calculation model is built, the current neutral point unbalanced current of the capacitor bank is calculated by adopting the neutral point unbalanced current calculation model, whether the capacitor bank is balanced or not is judged to be qualified at present according to whether the relation between the current neutral point unbalanced current of the capacitor bank and a current protection action value meets preset conditions or not, and therefore the capacitor bank can be adjusted until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset conditions under the condition that the capacitor bank is not balanced to be qualified. The technical scheme of the invention can be suitable for balancing the 35kV double-Y-shaped capacitor bank of the 500kV transformer substation, and can judge whether the capacitor bank is balanced or not by constructing a calculation model of neutral point unbalanced current according to the calculation model, thereby being beneficial to improving the working efficiency of fault treatment of the capacitor bank, improving the fault treatment speed of the capacitor bank and enabling the fault capacitor bank to be powered back in time.
It should be understood that the description in this section is not intended to identify key or critical features of the embodiments of the invention or to delineate the scope of the invention. Other features of the present invention will become apparent from the description that follows.
Drawings
In order to more clearly illustrate the technical solutions of the present invention, the drawings that are needed in the description of the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
Fig. 1 is a schematic flow chart of a balancing method for a capacitor bank according to the present invention;
fig. 2 is a schematic diagram of an equivalent circuit structure of a capacitor bank according to the present invention;
FIG. 3 is a schematic flow chart of another capacitor bank balancing method provided by the present invention;
fig. 4 is a schematic structural diagram of a balancing device for a capacitor bank according to the present invention;
fig. 5 is a schematic structural diagram of an electronic device provided by the present invention.
Detailed Description
In order that the manner in which the invention may be better understood, a more particular description of the invention will be rendered by reference to specific embodiments thereof which are illustrated in the appended drawings. All other embodiments, which can be made by those skilled in the art based on the embodiments of the present invention without making any inventive effort, shall fall within the scope of the present invention.
It should be noted that the terms "first," "second," and the like in the description and the claims of the present invention and the above figures are used for distinguishing between similar objects and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used may be interchanged where appropriate such that the embodiments of the invention described herein may be implemented in sequences other than those illustrated or otherwise described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
Example 1
The embodiment provides a balancing method of a capacitor bank. Fig. 1 is a schematic flow chart of a balancing method for a capacitor bank according to the present invention. The present embodiment may be applicable to the case of trimming a capacitor bank, which may be performed by a trimming device of the capacitor bank, which may be implemented in hardware and/or software, which may be configured in an electronic device. Referring to fig. 1, the trimming method of the capacitor bank specifically includes the following steps:
S110, constructing a calculation model of the neutral point unbalanced current based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the bus of the transformer substation, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank.
Fig. 2 is a schematic diagram of an equivalent circuit structure of a capacitor bank according to the present invention. Referring to fig. 2, the capacitor bank is connected to a substation bus, the capacitor bank includes a first capacitor bank 100 and a second capacitor bank 200, the first capacitor bank 100 and the second capacitor bank 200 each include a three-phase bridge arm, and a current transformer CT is connected between neutral points of the first capacitor bank 100 and the second capacitor bank 200.
Specifically, the inventionThe capacitor bank in each embodiment can be a 35kV double Y-shaped frame type capacitor bank applied to a 500kV transformer substation. The substation bus comprises an A-phase bus L A Phase B busbar L B And C phase bus L C 。U A Represents an A-phase busbar L A Phase voltage of U B Represents a B-phase bus L B Phase voltage of U C Represents a C-phase bus L C Is a phase voltage of (a). The first capacitor bank 100 and the second capacitor bank 200 each include a connecting phase a bus L A A phase A bridge arm and a phase B bus L are connected B B-phase bridge arm and connecting C-phase bus L C C-phase leg of (C). Each phase leg of the first capacitor bank 100 and the second capacitor bank 200 may be formed by a plurality of capacitor cells connected in series and parallel, and illustratively, the first capacitor bank 100 and the second capacitor bank 200 are each formed by 120 capacitor cells, and capacitance values of each capacitor cell are measured respectively, so that equivalent capacitance values of each phase leg of the first capacitor bank 100 and the second capacitor bank 200 may be obtained. The neutral point unbalance current of the capacitor bank, i.e. the current I between the neutral points of the first capacitor bank 100 and the second capacitor bank 200 In (a) 。
According to neutral point unbalance current I of capacitor bank In (a) The phase voltage of any phase of the transformer substation bus, the equivalent capacitance value of each phase bridge arm of the first capacitor bank 100 and the equivalent capacitance value of each phase bridge arm of the second capacitor bank 200 can be used for constructing a calculation model of neutral point unbalanced current, and the calculation model can be specifically the neutral point unbalanced current I of the capacitor bank In (a) The expressions of the phase voltage of any phase of the substation bus, the equivalent capacitance value of each phase bridge arm of the first capacitor bank 100, and the equivalent capacitance value of each phase bridge arm of the second capacitor bank 200.
And S120, calculating the current neutral point unbalanced current of the capacitor bank by adopting a neutral point unbalanced current calculation model.
By acquiring the phase voltage of any phase of the bus of the transformer substation, the equivalent capacitance value of each phase bridge arm of the first capacitor bank 100 and the equivalent capacitance value of each phase bridge arm of the second capacitor bank 200, the capacitor bank can be calculated according to a calculation model of unbalanced neutral currentCurrent neutral point imbalance current I In (a) To determine whether the capacitor bank is currently qualified for trimming.
And S130, when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet the preset condition, adjusting the capacitor bank until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
Specifically, the current protection action value may be a current threshold value for performing a current protection action, and the current neutral point unbalance current I of the capacitor bank is calculated In (a) Judging neutral point unbalance current I In (a) Whether the relation between the current protection action value and the current protection action value meets the preset condition.
Optionally, the trimming method of the capacitor bank further comprises:
and S140, when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, determining that the current balancing of the capacitor bank is qualified.
Optionally, the relationship between the present neutral point unbalanced current of the capacitor bank and the current protection action value does not satisfy the preset condition, including: the current neutral point unbalance current of the capacitor bank has a mode greater than or equal to the current protection action value. The relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, and the relation comprises the following steps: the current neutral unbalanced current of the capacitor bank has a mode smaller than the current protection action value.
Illustratively, the current protection action value is denoted as I φ At |I In (a) |<I φ Under the condition of (1), the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, and the current trimming qualification of the capacitor bank can be determined. At |I In (a) |≥I φ In the case of (a), the position of the capacitor unit in the capacitor bank can be adjusted if the relation between the current neutral point unbalance current of the capacitor bank and the current protection action value does not satisfy the preset condition, and then the neutral point unbalance current calculation is adopted based on the adjusted capacitor bankModel and calculate neutral point unbalance current of the capacitor bank after adjustment until |I In (a) |<I φ And the capacitor bank is qualified in balancing.
According to the technical scheme, a calculation model of neutral point unbalanced current is built based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of a bus of a transformer substation, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank, the current neutral point unbalanced current of the capacitor bank is calculated by adopting the calculation model of neutral point unbalanced current, whether the capacitor bank is balanced and qualified at present is judged according to whether the relation between the current neutral point unbalanced current of the capacitor bank and a current protection action value meets preset conditions or not, and therefore the capacitor bank can be adjusted until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets preset conditions under the condition that the capacitor bank is balanced and qualified. The technical scheme of the invention can be suitable for balancing the 35kV double-Y-shaped capacitor bank of the 500kV transformer substation, and can judge whether the capacitor bank is balanced or not by constructing a calculation model of neutral point unbalanced current according to the calculation model, thereby being beneficial to improving the working efficiency of fault treatment of the capacitor bank, improving the fault treatment speed of the capacitor bank and enabling the fault capacitor bank to be powered back in time.
Example two
Fig. 3 is a schematic flow chart of another balancing method for a capacitor bank according to the present invention. On the basis of the above embodiments, the present embodiment further optimizes the balancing method of the capacitor bank.
Referring to fig. 3, the method specifically includes the steps of:
s210, obtaining the equivalent capacitance of each phase of bridge arm of the first capacitor bank, the current of each phase of bridge arm, the equivalent capacitance of each phase of bridge arm of the second capacitor bank and the current of each phase of bridge arm.
Referring to fig. 2, the equivalent capacitance values of the a-phase bridge arm, the B-phase bridge arm, and the C-phase bridge arm of the first capacitor bank 100 may be denoted as C respectively A1 、C B1 、C C1 Equivalent capacitance values of the a-phase bridge arm, the B-phase bridge arm and the C-phase bridge arm of the second capacitor bank 200 can be respectively recorded as C A2 、C B2 、C C2 . The currents on the A-phase, B-phase, and C-phase legs of the first capacitor bank 100 are denoted as I, respectively A1 、I B1 、I C1 The currents on the A-phase, B-phase, and C-phase legs of the second capacitor bank 200 are respectively denoted as I A2 、I B2 、I C2 。
S220, obtaining the equivalent admittances of the bridge arms of the first capacitor bank and the second capacitor bank according to the equivalent capacitances of the bridge arms of the first capacitor bank and the equivalent capacitances of the bridge arms of the second capacitor bank.
Equivalent capacitive reactance values of the a-phase bridge arm, the B-phase bridge arm, and the C-phase bridge arm of the first capacitor bank 100 may be respectively noted as X A1 、X B1 、X C1 Equivalent capacitive reactance values of the a-phase bridge arm, the B-phase bridge arm, and the C-phase bridge arm of the second capacitor bank 200 may be respectively recorded as X A2 、X B2 、X C2 . The equivalent admittance values of the a-phase bridge arm, the B-phase bridge arm, and the C-phase bridge arm of the first capacitor bank 100 may be respectively noted as Y A1 、Y B1 、Y C1 The equivalent admittance values of the a-phase bridge arm, the B-phase bridge arm, and the C-phase bridge arm of the second capacitor bank 200 may be respectively noted as Y A2 、Y B2 、Y C2 . The relationship between the equivalent capacitance value, and the equivalent admittance value of the a-phase leg of first capacitor bank 100 may be expressed as: x is X A1 =1/jwC A1 ,Y A1 =1/X A1 =jwC A1 The relationships among the equivalent capacitance values, the equivalent capacitance values and the equivalent admittance values of the rest bridge arms are the same, and are not repeated.
S230, obtaining a numerical relation between neutral point unbalanced current of the capacitor bank and three-phase voltage of the transformer substation bus, equivalent capacitance of each phase bridge arm of the first capacitor bank and equivalent capacitance of each phase bridge arm of the second capacitor bank based on a numerical relation between neutral point unbalanced current of the capacitor bank and current of each phase bridge arm of the first capacitor bank and current of each phase bridge arm of the second capacitor bank and current of each phase bridge arm of the first capacitor bank, a numerical relation between current of each phase bridge arm of the second capacitor bank and equivalent admittance of each phase bridge arm of the second capacitor bank, and a numerical relation between neutral point unbalanced current of the capacitor bank and current of each phase bridge arm of the first capacitor bank and phase voltage of each phase bridge arm of the transformer substation bus.
In each embodiment of the invention, the calculation of the voltage and the current is vector calculation, and vector symbols are omitted for convenience. Illustratively, the neutral point imbalance current I of the capacitor bank In (a) The numerical relationship with the current on each phase leg of first capacitor bank 100 and the current on each phase leg of second capacitor bank 200 may be expressed as:
I in (a) =I A1 +I B1 +I C1 =-(I A2 +I B2 +I C2 )(1)
The current on each phase bridge arm of the first capacitor bank 100, the phase voltage of the substation bus and the neutral point voltage U of the substation bus N And the numerical relation between the equivalent admittances of the bridge arms of each phase of the first capacitor bank 100, and the phase voltages of the current and transformer substation bus on each phase of the bridge arms of the second capacitor bank 200, and the neutral point voltage U of the transformer substation bus N The numerical relationship between the equivalent admittances of the legs of the respective phases of the second capacitor bank 200 may be expressed as:
I A1 =(U A -U N )Y A1 ,I B1 =(U B -U N )Y B1 ,I C1 =(U C -U N )Y C1 (2)
I A2 =(U A -U N )Y A2 ,I B2 =(U B -U N )Y B2 ,I C2 =(U C -U N )Y C2 (3)
wherein:
I A =I A1 +I A2 ,I B =I B1 +I B2 ,I C =I C1 +I C2 (4)
I A 、I B and I C A-phase currents respectively representing buses of transformer substationsPhase B current and phase C current.
From formulas (1) to (4), it can be seen that:
(U A -U N )Y A1 +(U B -U N )Y B1 +(U C -U N )Y C1 +
(U A -U N )Y A2 +(U B -U N )Y B2 +(U C -U N )Y C2 =0 (5) from (5), the neutral point voltage U of the substation bus can be calculated N The method is characterized by comprising the following steps:
wherein Y is A =jwC A1 +jwC A2 ,Y B =jwC B1 +jwC B2 ,Y C =jwC C1 +jwC C2 。
Substituting the formula (6) into the formulas (1) to (3), and simplifying and combining to obtain the compound:
optionally, a numerical relationship between the neutral point unbalanced current of the capacitor bank and the three-phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank, and the equivalent capacitance of each phase bridge arm of the second capacitor bank includes: neutral point imbalance current I of capacitor bank In (a) Is related to the product of the A-phase voltage of the substation bus and the first capacitance coefficient, the product of the B-phase voltage of the substation bus and the second capacitance coefficient, and the product of the C-phase voltage of the substation bus and the third capacitance coefficient.
The first capacitance coefficient, the second capacitance coefficient, and the third capacitance coefficient are all related to the equivalent capacitances of the bridge arms of the first capacitor bank 100 and the equivalent capacitances of the bridge arms of the second capacitor bank 200.
Specifically, substitution of each equivalent admittance value into formula (7) yields:
to simplify the operation, the first capacitance coefficient is denoted as x, the second capacitance coefficient is denoted as y, and the third capacitance coefficient is denoted as z, wherein:
wherein C is A =C A1 +C A2 ,C B =C B1 +C B2 ,C C =C C1 +C C2 。
Substituting the formulas (9) to (11) into the formula (8) yields:
s240, obtaining the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltage of the transformer substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank according to the numerical relation between the three-phase voltage of the transformer substation bus and the numerical relation between the neutral point unbalanced current of the capacitor bank and the three-phase voltage of the transformer substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank.
Specifically, the numerical relationship between the three-phase voltages of the substation bus bars can be expressed as follows:
substituting formula (13) into formula (12) to obtain neutral point unbalanced current I of capacitor bank In (a) The numerical relationship among the three-phase voltages of the transformer substation bus, the equivalent capacitances of the bridge arms of each phase of the first capacitor bank 100 and the equivalent capacitances of the bridge arms of each phase of the second capacitor bank 200 is as follows:
optionally, a numerical relationship between the neutral point unbalanced current of the capacitor bank and the a-phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank, and the equivalent capacitance of each phase bridge arm of the second capacitor bank includes: the neutral point imbalance current of the capacitor bank is related to the grid frequency, the a-phase voltage of the substation bus, the first capacitance factor x, the second capacitance factor y, and the third capacitance factor z.
Illustratively, since the three-phase voltages of the substation bus are symmetrical, they are equal in size, namely:
U A =U B =U C (15)
substituting formula (15) into formula (14) and combining the same kind of terms can obtain:
wherein:
w=2πf(17)
wherein f is the grid frequency.
S250, performing modular operation based on the numerical relation between neutral point unbalanced current of the capacitor bank and A-phase voltage of a bus of the transformer substation, equivalent capacitance of each phase bridge arm of the first capacitor bank and equivalent capacitance of each phase bridge arm of the second capacitor bank, and constructing a calculation model of the neutral point unbalanced current.
Specifically, the formula (17) is substituted into the formula (16) and modulo operation is performed to obtain:
optionally, the units in the formula (18) are identical, the power grid frequency is 50 Hz, and the neutral point unbalanced current I can be obtained In (a) Is a computational model of (a):
wherein, A phase voltage U of transformer substation bus A The specific values of the first capacitance factor x, the second capacitance factor y and the third capacitance factor z in kV can be calculated according to the formulae (9) to (11).
And S260, calculating the current neutral point unbalanced current of the capacitor bank by adopting a neutral point unbalanced current calculation model.
S270, judging whether the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
If the relationship between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, executing step S280; if the relationship between the present neutral point unbalanced current of the capacitor bank and the current protection action value does not satisfy the preset condition, step S290 is performed.
S280, determining that the current trimming of the capacitor bank is qualified.
And S290, adjusting the capacitor bank until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
Illustratively, the present neutral point imbalance current I of the capacitor bank is calculated using equation (19) In (a) Unbalanced neutral point current I In (a) And a current protection action value I φ A comparison is made. If I In (a) |<I φ And if so, indicating that the current trimming of the capacitor bank is qualified, executing step S280, and determining that the current trimming of the capacitor bank is qualified. If I In (a) |≥I φ Then it indicates the capacitor bankStep S290 is executed to adjust the capacitor bank when the capacitor bank is qualified when the capacitor bank is not balanced currently, then steps S260 to S270 are executed back based on the adjusted capacitor bank, a neutral point unbalanced current calculation model is adopted to calculate the neutral point unbalanced current of the adjusted capacitor bank, and whether the relation between the neutral point unbalanced current of the adjusted capacitor bank and the current protection action value meets the preset condition is judged until |I In (a) |<I φ And the adjusted capacitor bank is qualified in balancing.
The technical scheme of the invention can be suitable for balancing the 35kV double-Y-shaped capacitor bank of the 500kV transformer substation, and can judge whether the capacitor bank is balanced or not by constructing a calculation model of neutral point unbalanced current according to the calculation model, thereby being beneficial to improving the working efficiency of fault treatment of the capacitor bank, improving the fault treatment speed of the capacitor bank and enabling the fault capacitor bank to be powered back in time.
Example III
The embodiment provides a balancing device for a capacitor bank. Fig. 4 is a schematic structural diagram of a balancing device for a capacitor bank according to the present invention. Referring to fig. 4, the balancing device of the capacitor bank specifically includes: a model building module 310, a current calculation module 320, and a first execution module 330.
The model construction module 310 is configured to construct a calculation model of the neutral point unbalanced current based on a numerical relationship between the neutral point unbalanced current of the capacitor bank and a phase voltage of the substation bus, an equivalent capacitance of each phase leg of the first capacitor bank, and an equivalent capacitance of each phase leg of the second capacitor bank.
The current calculation module 320 is configured to calculate the present neutral point unbalance current of the capacitor bank using a calculation model of the neutral point unbalance current.
The first execution module 330 is configured to adjust the capacitor bank when the relationship between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not satisfy the preset condition, until the relationship between the neutral point unbalanced current of the capacitor bank and the current protection action value satisfies the preset condition.
The balancing device of the capacitor bank provided by the invention can execute the balancing method of the capacitor bank provided by any embodiment of the invention, and has the corresponding functional modules and beneficial effects of the executing method.
Optionally, the balancing device of the capacitor bank further comprises:
and the second execution module is used for determining that the capacitor bank is qualified when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
Optionally, the model building module specifically includes:
the parameter acquisition unit is used for acquiring the equivalent capacitance of each phase of bridge arm of the first capacitor bank, the current on each phase of bridge arm, the equivalent capacitance of each phase of bridge arm of the second capacitor bank and the current on each phase of bridge arm;
the first calculation unit is used for obtaining the equivalent admittance of each phase of the bridge arm of the first capacitor bank and the equivalent admittance of each phase of the bridge arm of the second capacitor bank from the equivalent capacitance of each phase of the bridge arm of the first capacitor bank and the equivalent capacitance of each phase of the bridge arm of the second capacitor bank;
the second calculation unit is used for obtaining the numerical relation between the neutral point unbalanced current of the capacitor bank and the three-phase voltage of the transformer substation bus, the equivalent capacitance of each phase leg of the first capacitor bank and the equivalent capacitance of each phase leg of the second capacitor bank based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the current of each phase leg of the first capacitor bank and the current of each phase leg of the second capacitor bank, the numerical relation between the neutral point unbalanced current of the capacitor bank and the current of each phase leg of the second capacitor bank, the phase voltage of each phase leg of the first capacitor bank and the equivalent admittance of each phase leg of the second capacitor bank;
The third calculation unit is used for obtaining the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltage of the transformer substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank according to the numerical relation between the three-phase voltages of the transformer substation bus and the numerical relation between the neutral point unbalanced current of the capacitor bank and the three-phase voltage of the transformer substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank;
the model construction unit is used for carrying out modular operation based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltage of the bus of the transformer substation, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank, and constructing a calculation model of the neutral point unbalanced current.
Example IV
Fig. 5 is a schematic structural diagram of an electronic device provided by the present invention. Electronic devices are intended to represent various forms of digital computers, such as laptops, desktops, workstations, personal digital assistants, servers, blade servers, mainframes, and other appropriate computers. Electronic equipment may also represent various forms of mobile devices, such as personal digital processing, cellular telephones, smartphones, wearable devices (e.g., helmets, glasses, watches, etc.), and other similar computing devices. The components shown herein, their connections and relationships, and their functions, are meant to be exemplary only, and are not meant to limit implementations of the inventions described and/or claimed herein.
As shown in fig. 5, the electronic device 10 includes at least one processor 11, and a memory, such as a Read Only Memory (ROM) 12, a Random Access Memory (RAM) 13, etc., communicatively connected to the at least one processor 11, in which the memory stores a computer program executable by the at least one processor, and the processor 11 may perform various appropriate actions and processes according to the computer program stored in the Read Only Memory (ROM) 12 or the computer program loaded from the storage unit 18 into the Random Access Memory (RAM) 13. In the RAM 13, various programs and data required for the operation of the electronic device 10 may also be stored. The processor 11, the ROM 12 and the RAM 13 are connected to each other via a bus 14. An input/output (I/O) interface 15 is also connected to bus 14.
Various components in the electronic device 10 are connected to the I/O interface 15, including: an input unit 16 such as a keyboard, a mouse, etc.; an output unit 17 such as various types of displays, speakers, and the like; a storage unit 18 such as a magnetic disk, an optical disk, or the like; and a communication unit 19 such as a network card, modem, wireless communication transceiver, etc. The communication unit 19 allows the electronic device 10 to exchange information/data with other devices via a computer network, such as the internet, and/or various telecommunication networks.
The processor 11 may be a variety of general and/or special purpose processing components having processing and computing capabilities. Some examples of processor 11 include, but are not limited to, a Central Processing Unit (CPU), a Graphics Processing Unit (GPU), various specialized Artificial Intelligence (AI) computing chips, various processors running machine learning model algorithms, digital Signal Processors (DSPs), and any suitable processor, controller, microcontroller, etc. The processor 11 performs the various methods and processes described above, such as the balancing method of the capacitor bank.
In some embodiments, the capacitor bank trimming method may be implemented as a computer program tangibly embodied on a computer-readable storage medium, such as storage unit 18. In some embodiments, part or all of the computer program may be loaded and/or installed onto the electronic device 10 via the ROM 12 and/or the communication unit 19. When the computer program is loaded into RAM 13 and executed by processor 11, one or more steps of the capacitor bank balancing method described above may be performed. Alternatively, in other embodiments, the processor 11 may be configured to perform the balancing method of the capacitor bank by any other suitable means (e.g. by means of firmware).
Various implementations of the systems and techniques described here above may be implemented in digital electronic circuitry, integrated circuit systems, field Programmable Gate Arrays (FPGAs), application Specific Integrated Circuits (ASICs), application Specific Standard Products (ASSPs), systems On Chip (SOCs), load programmable logic devices (CPLDs), computer hardware, firmware, software, and/or combinations thereof. These various embodiments may include: implemented in one or more computer programs, the one or more computer programs may be executed and/or interpreted on a programmable system including at least one programmable processor, which may be a special purpose or general-purpose programmable processor, that may receive data and instructions from, and transmit data and instructions to, a storage system, at least one input device, and at least one output device.
The computer program for implementing the balancing method of the capacitor bank of the present invention may be written in any combination of one or more programming languages. These computer programs may be provided to a processor of a general purpose computer, special purpose computer, or other programmable data processing apparatus, such that the computer programs, when executed by the processor, cause the functions/acts specified in the flowchart and/or block diagram block or blocks to be implemented. The computer program may execute entirely on the machine, partly on the machine, as a stand-alone software package, partly on the machine and partly on a remote machine or entirely on the remote machine or server.
In the context of the present invention, a computer-readable storage medium may be a tangible medium that can contain, or store a computer program for use by or in connection with an instruction execution system, apparatus, or device. The computer readable storage medium may include, but is not limited to, an electronic, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any suitable combination of the foregoing. Alternatively, the computer readable storage medium may be a machine readable signal medium. More specific examples of a machine-readable storage medium would include an electrical connection based on one or more wires, a portable computer diskette, a hard disk, a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disc read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the foregoing.
To provide for interaction with a user, the systems and techniques described here can be implemented on an electronic device having: a display device (e.g., a CRT (cathode ray tube) or LCD (liquid crystal display) monitor) for displaying information to a user; and a keyboard and a pointing device (e.g., a mouse or a trackball) through which a user can provide input to the electronic device. Other kinds of devices may also be used to provide for interaction with a user; for example, feedback provided to the user may be any form of sensory feedback (e.g., visual feedback, auditory feedback, or tactile feedback); and input from the user may be received in any form, including acoustic input, speech input, or tactile input.
The systems and techniques described here can be implemented in a computing system that includes a background component (e.g., as a data server), or that includes a middleware component (e.g., an application server), or that includes a front-end component (e.g., a user computer having a graphical user interface or a web browser through which a user can interact with an implementation of the systems and techniques described here), or any combination of such background, middleware, or front-end components. The components of the system can be interconnected by any form or medium of digital data communication (e.g., a communication network). Examples of communication networks include: local Area Networks (LANs), wide Area Networks (WANs), blockchain networks, and the internet.
The computing system may include clients and servers. The client and server are typically remote from each other and typically interact through a communication network. The relationship of client and server arises by virtue of computer programs running on the respective computers and having a client-server relationship to each other. The server can be a cloud server, also called a cloud computing server or a cloud host, and is a host product in a cloud computing service system, so that the defects of high management difficulty and weak service expansibility in the traditional physical hosts and VPS service are overcome.
It should be appreciated that various forms of the flows shown above may be used to reorder, add, or delete steps. For example, the steps described in the present invention may be performed in parallel, sequentially, or in a different order, so long as the desired results of the technical solution of the present invention are achieved, and the present invention is not limited herein.
The above embodiments do not limit the scope of the present invention. It will be apparent to those skilled in the art that various modifications, combinations, sub-combinations and alternatives are possible, depending on design requirements and other factors. Any modifications, equivalent substitutions and improvements made within the spirit and principles of the present invention should be included in the scope of the present invention.
Claims (10)
1. The balancing method of the capacitor bank is characterized in that the capacitor bank is connected with a bus of a transformer substation, the capacitor bank comprises a first capacitor bank and a second capacitor bank, the first capacitor bank and the second capacitor bank comprise three-phase bridge arms, and a current transformer is connected between neutral points of the first capacitor bank and the second capacitor bank; the balancing method of the capacitor bank comprises the following steps:
Based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank, constructing a calculation model of the neutral point unbalanced current;
calculating the current neutral point unbalanced current of the capacitor bank by adopting a calculation model of the neutral point unbalanced current;
and when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet a preset condition, adjusting the capacitor bank until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
2. The method of trimming a capacitor bank of claim 1, wherein the method of trimming a capacitor bank further comprises:
when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, determining that the capacitor bank is qualified in current trimming;
the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet the preset condition, and the method comprises the following steps: the current neutral point unbalanced current mode of the capacitor bank is larger than or equal to the current protection action value;
The relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition, and the relation comprises the following steps: and the current neutral point unbalanced current of the capacitor bank is smaller than the current protection action value in a mode.
3. The method for balancing a capacitor bank according to claim 1, wherein the constructing the calculation model of the neutral point unbalanced current based on a numerical relationship between the neutral point unbalanced current of the capacitor bank and the phase voltage of the substation bus, the equivalent capacitance of each phase leg of the first capacitor bank, and the equivalent capacitance of each phase leg of the second capacitor bank includes:
acquiring the equivalent capacitance of each phase of bridge arm of the first capacitor bank, the current on each phase of bridge arm, the equivalent capacitance of each phase of bridge arm of the second capacitor bank and the current on each phase of bridge arm;
obtaining the equivalent admittance of each phase of the bridge arm of the first capacitor bank and the equivalent admittance of each phase of the bridge arm of the second capacitor bank according to the equivalent capacitance of each phase of the bridge arm of the first capacitor bank and the equivalent capacitance of each phase of the bridge arm of the second capacitor bank;
obtaining a numerical relation between neutral point unbalanced current of the capacitor bank and three-phase voltage of the transformer substation bus, equivalent capacitance of each phase leg of the first capacitor bank and equivalent capacitance of each phase of the second capacitor bank based on a numerical relation between neutral point unbalanced current of the capacitor bank and current of each phase leg of the first capacitor bank and current of each phase leg of the second capacitor bank, and current of each phase leg of the first capacitor bank and current of each phase leg of the second capacitor bank;
According to the numerical relation between the three-phase voltages of the transformer substation bus and the numerical relation between the neutral point unbalanced current of the capacitor bank and the three-phase voltages of the transformer substation bus, the equivalent capacitances of the bridge arms of each phase of the first capacitor bank and the equivalent capacitances of the bridge arms of each phase of the second capacitor bank, the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltages of the transformer substation bus, the equivalent capacitances of the bridge arms of each phase of the first capacitor bank and the equivalent capacitances of the bridge arms of each phase of the second capacitor bank is obtained;
and carrying out modular operation based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the A-phase voltage of the substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank, and constructing a calculation model of the neutral point unbalanced current.
4. The balancing method of the capacitor bank according to claim 3, wherein the numerical relationship between the neutral point unbalanced current of the capacitor bank and the three-phase voltage of the substation bus, the equivalent capacitance of each phase leg of the first capacitor bank, and the equivalent capacitance of each phase leg of the second capacitor bank includes:
The neutral point unbalanced current of the capacitor bank is related to the product of the A-phase voltage of the transformer substation bus and the first capacitance coefficient, the product of the B-phase voltage of the transformer substation bus and the second capacitance coefficient, and the product of the C-phase voltage of the transformer substation bus and the third capacitance coefficient;
the first capacitance coefficient, the second capacitance coefficient and the third capacitance coefficient are all related to the equivalent capacitance of each phase of the bridge arm of the first capacitor bank and the equivalent capacitance of each phase of the bridge arm of the second capacitor bank.
5. The method of balancing a capacitor bank according to claim 4, wherein the numerical relationship between the neutral point unbalanced current of the capacitor bank and the a-phase voltage of the substation bus, the equivalent capacitance of each phase leg of the first capacitor bank, and the equivalent capacitance of each phase leg of the second capacitor bank comprises:
the neutral point imbalance current of the capacitor bank is related to a grid frequency, an a-phase voltage of the substation bus, the first capacitance factor, the second capacitance factor, and the third capacitance factor.
6. The method of trimming a capacitor bank according to any one of claims 1-5, wherein the calculation model of neutral point unbalance current is expressed as:
Wherein I is In (a) Represents neutral point unbalance current of the capacitor bank, U A And representing the A-phase voltage of the substation bus, x represents a first capacitance coefficient, y represents a second capacitance coefficient, and z represents a third capacitance coefficient.
7. The method of trimming a capacitor bank according to claim 6, wherein the first capacitance coefficient, the second capacitance coefficient, and the third capacitance coefficient are each represented as follows:
wherein x represents the first capacitance coefficient, y represents the second capacitance coefficient, z represents the third capacitance coefficient, C A1 Representing the equivalent capacitance of the A-phase bridge arm of the first capacitor bank, C B1 Representing the equivalent capacitance of the B-phase bridge arm of the first capacitor bank, C C1 Representing the equivalent capacitance of the C-phase bridge arm of the first capacitor bank, C A2 Representing the equivalent capacitance of the A-phase bridge arm of the second capacitor bank, C B2 Representing the equivalent capacitance of the B-phase bridge arm of the second capacitor bank, C C2 Representing the equivalent capacitance of the C-phase bridge arm of the second capacitor bank, C A =C A1 +C A2 ,C B =C B1 +C B2 ,C C =C C1 +C C2 。
8. The balancing device of the capacitor bank is characterized in that the capacitor bank is connected with a bus of a transformer substation, the capacitor bank comprises a first capacitor bank and a second capacitor bank, the first capacitor bank and the second capacitor bank comprise three-phase bridge arms, and a current transformer is connected between neutral points of the first capacitor bank and the second capacitor bank; the balancing device of the capacitor bank comprises:
The model construction module is used for constructing a calculation model of the neutral point unbalanced current based on the numerical relation between the neutral point unbalanced current of the capacitor bank and the phase voltage of the transformer substation bus, the equivalent capacitance of each phase bridge arm of the first capacitor bank and the equivalent capacitance of each phase bridge arm of the second capacitor bank;
the current calculation module is used for calculating the current neutral point unbalanced current of the capacitor bank by adopting a calculation model of the neutral point unbalanced current;
and the first execution module is used for adjusting the capacitor bank when the relation between the current neutral point unbalanced current of the capacitor bank and the current protection action value does not meet the preset condition, until the relation between the neutral point unbalanced current of the capacitor bank and the current protection action value meets the preset condition.
9. An electronic device, the electronic device comprising:
at least one processor; and
a memory communicatively coupled to the at least one processor; wherein,,
the memory stores a computer program executable by the at least one processor to enable the at least one processor to perform the balancing method of the capacitor bank of any one of claims 1-7.
10. A computer readable storage medium storing computer instructions for causing a processor to perform the method of trimming a capacitor bank according to any one of claims 1-7.
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