CN112838596A - 110kV transformer substation reactive equipment capacity calculation method - Google Patents
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Abstract
A method for calculating the capacity of reactive equipment of a 110kV transformer substation comprises data input, data processing, power factor calculation, reactive equipment capacity calculation and post-processing; the data input is input into the transformer substation and the information of the incoming and outgoing lines thereof by a user; the data processing mainly calculates the information of the cable line; the power factor calculation is carried out by combining the parameter information of the transformer substation and the incoming and outgoing line parameters of the transformer substation, and whether the transformer substation needs to be provided with reactive equipment is judged according to the power factor calculation; calculating the capacity of the reactive equipment, and performing iterative calculation under different load operation conditions to obtain a reactive configuration capacity value with higher precision; and post-processing is used for outputting the capacitive and inductive reactive configuration results. The method can accurately calculate the configuration of the reactive equipment required by the transformer substation, and improve the power factor and the voltage qualification rate of the transformer substation.
Description
Technical Field
The invention relates to the field of reactive power equipment, in particular to a method for calculating the capacity of reactive power equipment of a 110kV transformer substation.
Background
With the gradual scale-up of 110kV power grids, the configuration factor influence of reactive equipment changes, such as more and more urban power supply cables, reactive power reverse transmission during low valley load, large peak-valley load difference and the like. At present, inductive reactive power compensation in some local areas is not configured sufficiently, reactive power is fed back seriously in the valley load, the quality of power supply electric energy of a power grid is influenced, and the economical efficiency of the operation of the power grid is reduced.
With regard to the configuration calculation of the capacity of the reactive equipment, the following design and calculation work is carried out:
firstly, a power grid planning designer carries out 110kV transformer substation reactive compensation capacity configuration according to operation experience, but a reactive equipment configuration scheme provided by the method is closely related to the experience and design level of the designer, a calculation result has strong subjectivity, and the situation of over-compensation or under-compensation is easy to occur.
Secondly, the calculation is carried out according to the reactive equipment configuration principle of the 110kV transformer substation given by the relevant national standard specification, the capacitive reactive total capacity is configured according to 10% -30% of the main transformer capacity, and the inductive reactive total capacity is generally configured according to the sum of the charging power of the line. The capacitive reactive power configuration range given by the configuration principle is wide, an accurate capacitive configuration scheme is difficult to provide for a specific transformer substation, the inductive reactive power configuration principle is not suitable for the transformer substation with serious reactive power reverse transmission or low power factor, and the method has the problems that the capacitive reactive power configuration is unreasonable or the inductive reactive power compensation is too low and the like.
And thirdly, modeling simulation calculation is carried out on the transformer substations in a certain area based on a reactive modeling algorithm, the method needs to establish simulation models for the transformer substations, lines, power generation stations and the like in the whole area, the workload is large, the calculation accuracy depends on the accuracy degree of the models, and the method is difficult to popularize and apply in specific projects.
Disclosure of Invention
In order to overcome the defects of strong subjectivity, wide standard configuration range and complex reactive modeling method, the invention provides the 110kV transformer substation reactive equipment capacity calculation method which is convenient to calculate and reliable to operate.
The technical scheme of the invention is as follows: the method comprises the following steps:
s1, inputting data;
s2, processing data;
s3, calculating power factors;
s4, calculating the capacity of the reactive equipment;
s5, post-processing;
and S6, finishing.
In the step S1, in the step S,
the data input is input into the transformer substation and the inlet and outlet line parameter information thereof by a user, and comprises the number of transformers, the capacity of the transformers, the impedance voltage percentage of the transformers, the no-load current percentage of the transformers, the load capacity, the load power factor, the types of inlet and outlet cables, the lengths of the inlet and outlet cables, the capacity of a single group of reactive equipment, the iterative computation precision, the required value of the power factor of the high-peak load time-varying power station and the required value of the power factor of the low-valley load time;
when the user does not input the power factor requirement value, the data input defaults that the power factor requirement value of the time-varying power station at peak load is more than or equal to 0.95, and the power factor requirement value of the time-varying power station at valley load is less than or equal to 0.95.
In the step S2, in the step S,
and the data processing comprises calculating the parameter information of the 10 kV-110 kV cable to obtain the charging power of the cable.
The power factor calculation in step S3 includes the steps of:
firstly, according to data input and data processed data, respectively calculating power factors of the transformer substation in peak load and low-valley load by using a power factor model in the peak load/low-valley load, and judging whether the transformer substation needs to be configured with reactive equipment or not;
the power factor model of the transformer substation under the peak load is as follows:
in the formula:power factor during peak load; p1Is a low-voltage side active value; q1Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current;
the power factor model of the transformer substation under the low-valley load is as follows:
in the formula:power factor during valley load; p2Is a low-voltage side active value; q2Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current;
when the power factors of the transformer substation under the peak load and the valley load meet the requirements, reactive equipment does not need to be configured, and the calculation is finished; if the requirement is not satisfied, the process proceeds to step S4.
The reactive device capacity calculation in step S4 includes the steps of:
firstly, solving a reactive compensation calculation value, configuring the capacity of reactive equipment according to the reactive compensation calculation value, and solving a power factor after reactive compensation according to a power factor calculation model after reactive compensation at peak load/valley load;
wherein, the power factor calculation model after reactive compensation at peak load is as follows:
in the formula:the power factor after reactive compensation at peak load is adopted; p1Is a low-voltage side active value; q1Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; qcfA capacitive reactive power compensation value required by the transformer substation; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current;
the power factor calculation model after reactive compensation in the valley load is as follows:
in the formula:the power factor after reactive compensation in the valley load; p2Is a low-voltage side active value; q2Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; qLfA required inductive reactive power compensation value for the transformer substation; u shaped% is transformer resistancePercent voltage resistance; sNIs the transformer capacity; i is0% is the percent of no-load current;
then returning to restart the calculation, wherein the reactive compensation value for calculation is the original reactive compensation value +/-iterative calculation precision, and thus, starting the circular calculation until the power factor is changed from unqualified to qualified or from qualified to unqualified;
and finishing the calculation, outputting the reactive compensation value qualified/unqualified for the power factor and the latest reactive compensation value unqualified/qualified for the power factor, and performing interpolation calculation on the two values to obtain a reactive configuration capacity value.
In step S5, post-processing is used to develop capacitive and inductive reactive configuration calculations and resultant output. The invention provides a method for calculating the capacity of reactive equipment of a 110kV transformer substation, which has the following advantages:
1) the invention can provide a corresponding reactive equipment capacity configuration scheme according to parameter information of the transformer substation and the incoming and outgoing lines thereof provided by a user;
2) the method provided by the invention contains a large amount of cable parameter information, can accurately calculate the charging power of the cable, and is better suitable for calculating the capacity configuration of the reactive equipment of the transformer substation with more cable incoming lines.
3) The invention can accurately configure the capacity of the reactive equipment, give play to the maximum economic benefit of the reactive equipment and reduce the construction investment cost.
Drawings
FIG. 1 is a flow chart of the present invention.
Detailed Description
As shown in fig. 1, the present invention comprises the steps of:
s1, inputting data;
s2, processing data;
s3, calculating power factors;
s4, calculating the capacity of the reactive equipment;
s5, post-processing;
and S6, finishing.
The data input is input into the transformer substation and the inlet and outlet line parameter information thereof by a user, and the data input mainly comprises parameters such as the number of transformers, the capacity of the transformers, the impedance voltage percentage of the transformers, the no-load current percentage of the transformers, the load capacity, the load power factor, the type of inlet and outlet cables, the length of the inlet and outlet cables, the capacity of a single group of reactive equipment, the iterative computation precision, the power factor requirement value of a high-peak load time-varying power station, the power factor requirement value of a low-valley load time. When the user does not input the power factor requirement value, the data input defaults that the power factor requirement value of the time-varying power station at peak load is more than or equal to 0.95, and the power factor requirement value of the time-varying power station at valley load is less than or equal to 0.95.
The data processing is mainly used for calculating the parameter information of the 10 kV-110 kV cable to obtain the charging power of the cable.
Calculating power factors, namely firstly, calculating the power factors of the transformer substation under peak load and low-valley load respectively according to data input and data processed by data by using a power factor model under the peak load/low-valley load, and judging whether the transformer substation needs to be provided with reactive equipment or not; when power factors of the transformer substation under peak load and valley load meet requirements, the transformer substation does not need to be configured with reactive equipment, and calculation is finished; if the requirement is not met, the next step is carried out.
And calculating the capacity of the reactive equipment, namely firstly obtaining a reactive compensation calculated value, configuring the capacity of the reactive equipment according to the reactive compensation calculated value, and obtaining the power factor after reactive compensation according to a power factor calculation model after reactive compensation in peak load/valley load. And then returning to restart the calculation, wherein the reactive compensation value for calculation is the original reactive compensation value +/-iterative calculation precision, and thus, starting the circular calculation until the power factor is changed from unqualified to qualified or from qualified to unqualified.
And finishing the calculation, outputting the reactive compensation value qualified/unqualified for the power factor and the latest reactive compensation value unqualified/qualified for the power factor, and performing interpolation calculation on the two values to obtain a reactive configuration capacity value. And through iterative loop calculation, the reactive compensation calculation value gradually approaches to the required value, and finally, through interpolation calculation, the reactive equipment capacity with higher precision is obtained, the maximum economic benefit of the reactive equipment is exerted, and the investment cost of the reactive equipment is reduced.
The iterative calculation precision is set by a user, the smaller the iterative calculation precision set value is, the higher the calculation precision is, and if the iterative calculation precision is not set by the user, the default iterative calculation precision is 0.4. The reactive equipment capacity calculation needs to be carried out at the load peak and the load valley respectively, and finally, a capacitive reactive configuration capacity value and a inductive reactive capacity value are obtained respectively.
The post-processing is used to perform capacitive and inductive reactive power configuration calculations and result output. The method can accurately calculate the configuration of the reactive equipment required by the transformer substation, and improve the power factor and the voltage qualification rate of the transformer substation.
A power factor model of the transformer substation under the peak load is shown in a formula (1), and the power factor model can be used for calculating the power factor during the peak load according to parameter information of the transformer substation and the incoming and outgoing lines of the transformer substation and serves as a calculation data source for calculating the capacity of the reactive equipment.
In the formula:power factor during peak load; p1Active value/MW at low voltage side; q1Is the low-voltage side reactive value/Mvar; q10LCharging power/Mvar for a 10kV line; q110LCharging power/Mvar for a 110kV line; u shaped% is the transformer impedance voltage percentage; sNTransformer capacity/MVA; i is0% is percent no-load current.
A power factor model of the transformer substation under the valley load is shown in a formula (2), and the model can be used for calculating the power factor during the valley load according to parameter information of the transformer substation and incoming and outgoing lines of the transformer substation and serving as a calculation data source for calculating the capacity of reactive equipment.
In the formula:power factor during valley load; p2Active value/MW at low voltage side; q2Is the low-voltage side reactive value/Mvar; q10LCharging power/Mvar for a 10kV line; q110LCharging power/Mvar for a 110kV line; u shaped% is the transformer impedance voltage percentage; sNTransformer capacity/MVA; i is0% is percent no-load current.
The power factor calculation model after reactive compensation at peak load is shown in formula (3), and the power factor calculation model can calculate the power factor after reactive compensation at peak load according to the parameter information of the transformer substation and the inlet and outlet lines thereof and the calculation result of the capacitive reactive power compensation value required by the transformer substation, and is used as the power factor discrimination basis during iterative calculation.
In the formula:the power factor after reactive compensation at peak load is adopted; p1Active value/MW at low voltage side; q1Is the low-voltage side reactive value/Mvar; q10LCharging power/Mvar for a 10kV line; q110LCharging power/Mvar for a 110kV line; qcfA capacitive reactive power compensation value/Mvar required by the transformer substation; u shaped% is the transformer impedance voltage percentage; sNTransformer capacity/MVA; i is0% is percent no-load current.
The power factor calculation model after reactive compensation in the valley load is shown in a formula (4), and the power factor calculation model after reactive compensation in the valley load can be used as a power factor judgment basis in iterative calculation according to parameter information of the transformer substation and the incoming and outgoing line lines thereof and by combining a calculation result of a sensitive reactive power compensation value required by the transformer substation.
The power factor after reactive compensation in the valley load; p2Active value/MW at low voltage side; q2Is the low-voltage side reactive value/Mvar; q10LCharging power/Mvar for a 10kV line; q110LCharging power/Mvar for a 110kV line; qLfThe inductive reactive power compensation value/Mvar required by the transformer substation; u shaped% is the transformer impedance voltage percentage; sNTransformer capacity/MVA; i is0% is percent no-load current.
In the specific application of the method, the material is selected,
1. data entry
The user inputs parameter information of the transformer substation and the incoming and outgoing lines thereof, including the number of transformers: 2, transformer capacity: 50 MVA; transformer impedance voltage percentage: u shapedPercent is 14; transformer no-load current percentage: i is0Percent is 0.1 percent; load capacity: at peak load, the 10kV load is 80MVA, at valley load, the 10kV load is 20MVA, and the 10kV load is 37.5 MVA; the load power factor is 0.95; incoming and outgoing line information: the 110kV outgoing cable has a section of 1000mm2The length of the outgoing cable is 7km and the 10kV outgoing cable is 24mm2The length is 72 km; capacity of single group of reactive equipment: 4 Mvar; and (3) iterative calculation precision: 0.2; the power factor requirement value of the time-varying power station under the peak load is as follows:required value of power factor of time-varying power station under low valley load
2. Data processing
According to business turn over line cable conductor cross-section and length, draw cable core capacitance value, calculate the charging power of cable:
charging power of 110kV line
QL110=2πfcU2L=2×3.14×50×0.24×1102×7=6.38Mvar
10kV line charging power
QL10=2πfcU2L=2×3.14×50×0.456×102×72=1.03Mvar
Wherein QL110、QL10For charging power, f is frequency, c is capacitance, U is cable operating voltage, and L is cable length.
3. Power factor calculation
(1) Power factor calculation at peak load
1) Transformer load
At peak load, 10kV load is 80MVA, load power factor is 0.95, and active power P1Reactive power Q1The calculation is as follows:
P1=80×0.95=76MW
Q1=80×sin(arccos0.95)=24.98M var
2) power factor calculation
(2) Power factor calculation at low valley load
1) Load of each side winding of transformer
Transformer medium voltage side calculation load
In the low-valley load, the 10kV load is 20MVA, the load power factor is 0.95, and the active power P2Reactive power Q2The calculation is as follows:
P2=20×0.95=19MW
Q2=20×sin(arccos0.95)=6.24M var
2) power factor calculation
4. Power factor discrimination
The calculation result of the power factor calculation shows that the power factor is 0.9440 when no capacitive reactive power equipment is compensated at the time of peak load, and is lower than the lower limit value of 0.97 required by a user, which indicates that the transformer substation needs to be provided with a capacitive reactive power compensation device. When the load is in a valley, the power factor when no inductive reactive equipment is compensated is 0.9996, which is higher than the upper limit value of 0.95 required by the user, and the transformer substation needs to be provided with an inductive reactive compensation device. The analysis result shows that the power factor does not meet the requirement, and the next step is needed.
5. Reactive equipment capacity calculation
(1) Capacitive reactive configuration calculation
1) Calculating reactive compensation value
The power factor of the transformer substation under the peak loadIs required to be more than 0.97, and at the moment, the capacitive reactive power compensation value Q required by the transformer substationcfThe calculation is as follows:
2) power factor calculation
Adopting a power factor calculation model after reactive compensation at peak load, and calculating the power factor after reactive compensation at peak load:
3) Power factor discrimination and iterative computation
When the transformer substation is in a peak load, the power factor needs to be larger than 0.97, the power factor calculation value in the previous step is 0.9681, and the power factor is unqualified;
and returning to the recalculation, wherein the new reactive compensation value for the calculation is 6.52+ 0.4-6.92 Mvar, and repeating the step 1) and the step 2) to calculate a new power factorIf the power factor is lower than 0.97, judging that the power factor is unqualified;
and returning to the recalculation, wherein the new reactive compensation value for the calculation is 6.92+ 0.4-7.32 Mvar, and repeating the step 1) and the step 2) to calculate a new power factorJudging that the power factor is qualified;
and finishing the calculation, wherein the reactive compensation value with qualified output power factors is 7.32Mvar, and the latest reactive compensation value with unqualified power factors is 6.92 Mvar.
4) Calculating reactive configured capacity
According to the calculation result of the previous step, the qualified reactive compensation value of the power factor is 7.32Mvar, and the power factor is 0.9707 at the moment; the latest reactive compensation value for which the power factor is not acceptable is 6.92Mvar, at which time the power is 0.9694.
And performing interpolation calculation on the two reactive compensation values to obtain that the reactive configuration capacity is 7.10Mvar when the power factor is 0.97.
(2) Inductive reactive configuration calculation
1) Calculating reactive compensation value
Power factor of the transformer substation under low loadLess than 0.95, and the inductive reactive power compensation value Q required by the transformer substationLfThe calculation is as follows:
2) power factor calculation
Adopting a power factor calculation model after reactive compensation in the valley load, wherein the calculated power factor after reactive compensation in the valley load is as follows:
3) Power factor discrimination and iterative computation
When the transformer substation is in a peak load state, the power factor needs to be less than 0.95, the power factor calculation value in the previous step is 0.9636, and the power factor is unqualified;
and returning to the recalculation, subtracting the iterative calculation precision of the original reactive compensation value of the new reactive compensation value for calculation at the moment, wherein the value of the original reactive compensation value is 5.67+ 0.4-6.07 Mvar, and repeating the step 1) and the step 1) to calculate to obtain a new power factorIf the power factor is higher than 0.95, judging that the power factor is unqualified;
and returning to the recalculation, wherein the new reactive compensation value for the calculation is 6.07+ 0.4-6.47 Mvar, and repeating the step 1) and the step 2) to calculate a new power factorJudging that the power factor is unqualified;
and returning to the recalculation, wherein the new reactive compensation value for the calculation is 6.47+ 0.4-6.87 Mvar, and repeating the step 1) and the step 2) to calculate a new power factorThe power factor is qualified;
and finishing the calculation, wherein the reactive compensation value with qualified output power factors is 6.87Mvar and the latest reactive compensation value with unqualified power factors is 6.47 Mvar.
4) Calculating reactive configured capacity
According to the calculation result of the previous step, the qualified reactive compensation value of the power factor is 6.87Mvar, and the power factor is 0.9459 at the moment; the latest reactive compensation value for which the power factor is not acceptable is 6.47Mvar, at which time the power is 0.9522.
And performing interpolation calculation on the two reactive compensation values to obtain the inductive reactive power configuration capacity of 6.61Mvar when the power factor is 0.95.
6. Post-treatment
According to the calculation result of the reactive equipment capacity, the capacitive reactive configuration capacity is 7.10Mvar, the inductive reactive configuration capacity is 6.61Mvar, the single-group reactive equipment capacity defined by a user is 4Mvar, the capacitive reactive configuration is 2 x 4Mvar, and the inductive reactive configuration is 2 x 4 Mvar.
Claims (6)
1. A110 kV transformer substation reactive equipment capacity calculation method is characterized by comprising the following steps: the method comprises the following steps:
s1, inputting data;
s2, processing data;
s3, calculating power factors;
s4, calculating the capacity of the reactive equipment;
s5, post-processing;
and S6, finishing.
2. The method for calculating the capacity of the reactive equipment of the 110kV transformer substation according to claim 1, characterized by comprising the following steps: in the step S1, in the step S,
the data input is input into the transformer substation and the inlet and outlet line parameter information thereof by a user, and comprises the number of transformers, the capacity of the transformers, the impedance voltage percentage of the transformers, the no-load current percentage of the transformers, the load capacity, the load power factor, the types of inlet and outlet cables, the lengths of the inlet and outlet cables, the capacity of a single group of reactive equipment, the iterative computation precision, the required value of the power factor of the high-peak load time-varying power station and the required value of the power factor of the low-valley load time;
when the user does not input the power factor requirement value, the data input defaults that the power factor requirement value of the time-varying power station at peak load is more than or equal to 0.95, and the power factor requirement value of the time-varying power station at valley load is less than or equal to 0.95.
3. The 110kV substation reactive equipment capacity calculation method according to claim 2, characterized in that: in the step S2, in the step S,
and the data processing comprises calculating the parameter information of the 10 kV-110 kV cable to obtain the charging power of the cable.
4. The method for calculating the capacity of the reactive equipment of the 110kV transformer substation according to claim 3, characterized in that: the power factor calculation in step S3 includes the steps of:
firstly, according to data input and data processed data, respectively calculating power factors of the transformer substation in peak load and low-valley load by using a power factor model in the peak load/low-valley load, and judging whether the transformer substation needs to be configured with reactive equipment or not;
the power factor model of the transformer substation under the peak load is as follows:
in the formula:power factor during peak load; p1Is a low-voltage side active value; q1Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current;
the power factor model of the transformer substation under the low-valley load is as follows:
in the formula:power factor during valley load; p2Is a low-voltage side active value; q2Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current;
when the power factors of the transformer substation under the peak load and the valley load meet the requirements, reactive equipment does not need to be configured, and the calculation is finished; if the requirement is not satisfied, the process proceeds to step S4.
5. The 110kV substation reactive equipment capacity calculation method according to claim 4, characterized in that: the reactive device capacity calculation in step S4 includes the steps of:
firstly, solving a reactive compensation calculation value, configuring the capacity of reactive equipment according to the reactive compensation calculation value, and solving a power factor after reactive compensation according to a power factor calculation model after reactive compensation at peak load/valley load;
wherein, the power factor calculation model after reactive compensation at peak load is as follows:
in the formula:the power factor after reactive compensation at peak load is adopted; p1Is a low-voltage side active value; q1Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; qcfA capacitive reactive power compensation value required by the transformer substation; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current; negative load of low valleyThe power factor calculation model after the reactive power compensation during the load is as follows:
in the formula:the power factor after reactive compensation in the valley load; p2Is a low-voltage side active value; q2Is a low-voltage side reactive value; q10LCharging power for a 10kV line; q110LCharging power for a 110kV line; qLfA required inductive reactive power compensation value for the transformer substation; u shaped% is the transformer impedance voltage percentage; sNIs the transformer capacity; i is0% is the percent of no-load current;
then returning to restart the calculation, wherein the reactive compensation value for calculation is the original reactive compensation value +/-iterative calculation precision, and thus, starting the circular calculation until the power factor is changed from unqualified to qualified or from qualified to unqualified;
and finishing the calculation, outputting the reactive compensation value qualified/unqualified for the power factor and the latest reactive compensation value unqualified/qualified for the power factor, and performing interpolation calculation on the two values to obtain a reactive configuration capacity value.
6. The 110kV substation reactive equipment capacity calculation method according to claim 5, characterized in that: in step S5, post-processing is used to develop capacitive and inductive reactive configuration calculations and resultant output.
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CN104779625A (en) * | 2015-03-12 | 2015-07-15 | 华南理工大学 | Capacitive reactive compensation configuration method for 110kV transformer substation in saturated load region |
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CN104779625A (en) * | 2015-03-12 | 2015-07-15 | 华南理工大学 | Capacitive reactive compensation configuration method for 110kV transformer substation in saturated load region |
CN111009906A (en) * | 2019-12-04 | 2020-04-14 | 国网河北省电力有限公司雄安新区供电公司 | Reactive compensation balance method of full cable net rack |
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