CN111130109A - Yyn0 low-voltage distribution network theoretical line loss calculation method and system - Google Patents

Yyn0 low-voltage distribution network theoretical line loss calculation method and system Download PDF

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CN111130109A
CN111130109A CN202010085898.2A CN202010085898A CN111130109A CN 111130109 A CN111130109 A CN 111130109A CN 202010085898 A CN202010085898 A CN 202010085898A CN 111130109 A CN111130109 A CN 111130109A
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distribution network
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安义
戚沁雅
欧阳文华
蒙天琪
周求宽
王华云
李升健
郑蜀江
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Jiangxi Electric Power Co Ltd
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Electric Power Research Institute of State Grid Jiangxi Electric Power Co Ltd
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    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
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Abstract

A Yyn0 low-voltage distribution network theoretical line loss calculation method and system are disclosed, the method comprises the steps of collecting voltage, current and active electric quantity data of an outlet of a low-voltage distribution network, preprocessing the collected data, and calculating a Yyn0 distribution transformer zero-sequence impedance value through the preprocessed data; establishing a three-phase equivalent resistance equation set, and solving the three-phase equivalent resistance of each acquisition point; calculating to obtain theoretical loss power of each acquisition point and total power of the low-voltage distribution network; and calculating the theoretical line loss rate of the low-voltage distribution network in a specific statistical period according to the actual statistical period requirement. The influence of zero sequence impedance needs to be considered when the Yyn0 low-voltage distribution network three-phase equivalent resistance is calculated. According to the Yyn0 low-voltage distribution network theoretical line loss calculation method and system, the existing electric acquisition device of the distribution room electric energy meter is fully utilized, no additional hardware is needed, and the Yyn0 low-voltage distribution network theoretical line loss calculation is realized through computer executable program codes.

Description

Yyn0 low-voltage distribution network theoretical line loss calculation method and system
Technical Field
The invention relates to a Yyn0 low-voltage distribution network theoretical line loss calculation method and system, and belongs to the technical field of power distribution and utilization.
Background
The low-voltage distribution network directly faces the client, the load is high randomness and unbalance, the power supply quality and the voltage quality of the user are directly influenced by the high-loss low-voltage line of the low-voltage distribution network, the real high-loss low-voltage line can be quickly and accurately found out, and the method has important significance for scientifically and accurately taking loss reduction measures for power supply enterprises.
At present, the theoretical line loss calculation method of the low-voltage distribution network mainly comprises a voltage loss method, a bamboo joint method, an equivalent resistance method and a transformer area loss rate method. However, the conventional low-voltage distribution network theoretical line loss calculation method needs to consider the topological relation of the low-voltage distribution network, line parameters and user-side collected data, and in an actual situation, the low-voltage distribution network grid is complex and lacks complete and accurate line parameters and load data, so that the deviation between the calculation result and an actual value of the conventional low-voltage distribution network theoretical line loss calculation method is large.
Disclosure of Invention
The invention aims to realize the theoretical line loss calculation of the Yyn0 low-voltage distribution network by only acquiring three-phase voltage, current, active electric power and reactive electric power at the outlet side of a distribution room under the condition of not considering the topological relation of the low-voltage distribution network, the line parameters of the low-voltage distribution network and the electric data at a user side, and provides a method and a system for calculating the theoretical line loss of the Yyn0 low-voltage distribution network.
The technical scheme of the invention is that the Yyn0 low-voltage distribution network theoretical line loss calculation method comprises the steps of collecting voltage, current and active electric quantity data of a low-voltage distribution network outlet, preprocessing the collected data, and calculating a Yyn0 distribution transformer zero-sequence impedance value through the preprocessed data; establishing a three-phase equivalent resistance equation set, and solving the three-phase equivalent resistance of each acquisition point; calculating to obtain theoretical loss power of each acquisition point and total power of the low-voltage distribution network; and calculating the theoretical line loss rate of the low-voltage distribution network in a specific statistical period according to the actual statistical period requirement.
The zero sequence impedance calculation method comprises the following steps:
(1) subtracting the minimum value from the maximum value of the three-phase current of each acquisition point at the outlet of the transformer area to obtain the current difference delta i of the acquisition pointt
Δit=(max(iat,ibt,ict)-min(iat,ibt,ict))×CT
Wherein: i.e. iat、ibt、ictThe secondary outlet current values of the a, b and c three phases at the time t are converted by a current transformer, and CT is the current transformation ratio;
(2) subtracting the minimum value from the maximum value of the three-phase voltage of each acquisition point of the distribution transformer to obtain the voltage difference delta u of the acquisition pointt
Δut=max(uat,ubt,uct)-min(uat,ubt,uct)
Wherein u isat、ubt、uctThe three-phase outlet voltage values of a, b and c are respectively t;
(3) using a unary linear equation to measure the current difference Δ itAfter the formula processing, a current difference sequence delta i and a voltage difference sequence delta u are formed for fitting, and the fitting formula is as follows:
y=a0+a1x
wherein: x and y are independent variable and dependent variable respectively, a0、a1Respectively fitting parameters;
and (3) giving a current difference sequence delta i and a voltage difference sequence delta u to obtain an error function:
Figure BDA0002382029830000021
to minimize the error function, the following condition is satisfied:
Figure BDA0002382029830000031
wherein:
Figure BDA0002382029830000032
ATis the transposed matrix of A;
obtaining a fitting parameter a according to the formula0、a1(ii) a Zero sequence impedance R0I.e. equal to a0
The equivalent resistance is solved as follows:
establishing an equivalent resistance formula for calculating theoretical line loss according to the preprocessed outlet three-phase voltage and current data, and calculating the influence of zero-sequence impedance to be considered in the three-phase equivalent resistance of the Yyn0 low-voltage distribution network; the equation for calculating the equivalent resistance is given by:
Figure BDA0002382029830000033
wherein: i isat、Ibt、IctA, B, C three-phase t-time outlet current values respectively; u shapeat、Uat、UatA, B, C three-phase t moment outlet voltage values respectively; rat、Rat、RatThe equivalent resistance values are used for calculating theoretical line loss values at A, B, C three-phase t moments respectively; r0Is zero sequence impedance;
the equation set of the equivalent resistance has a solution of
Figure BDA0002382029830000034
Calculating an equivalent resistance value used for calculating the theoretical line loss value at the time t; when the above formula is equal to zero, the equation set of the equivalent resistance has no solution, and the theoretical line loss at the moment is not calculated and deleted.
A Yyn0 low-voltage distribution network theoretical line loss calculation system, which comprises an electric energy meter acquisition device and computer equipment, wherein the computer equipment comprises a memory, a processor and a computer program stored on the memory and capable of running on the processor, and the processor executes the program to realize the following steps:
(1) preprocessing three-phase voltage, current and active electric quantity data collected at the power supply outlet side of the Yyn0 low-voltage power distribution network;
(2) judging a power supply wiring mode according to a Yyn0 low-voltage distribution network three-phase current sequence;
(3) judging the coupling group of the distribution transformer according to a Yyn0 low-voltage distribution network three-phase voltage sequence;
(4) calculating zero sequence impedance of the Yyn0 distribution transformer;
(5) establishing an equivalent resistance formula for calculating theoretical line loss according to the preprocessed outlet three-phase voltage and current data, and calculating the three-phase equivalent resistance of the Yyn0 low-voltage distribution network;
(6) and calculating the theoretical line loss and the theoretical line loss rate of the Yyn0 low-voltage distribution network.
Compared with the conventional equivalent resistance method, the equivalent resistance calculation formula has the advantages that the topological relation, the line parameters and the user side electrical data of the low-voltage distribution line do not need to be considered, and the practical requirement is met; different from a Dyn11 low-voltage distribution network, the method for calculating the three-phase equivalent resistance of the Yyn0 low-voltage distribution network needs to consider the influence of zero-sequence impedance, and improves the accuracy of the calculation result of the three-phase equivalent resistance.
According to the Yyn0 low-voltage distribution network theoretical line loss calculation method and system, the existing electric acquisition device of the distribution room electric energy meter is fully utilized, no additional hardware is needed, and the Yyn0 low-voltage distribution network theoretical line loss calculation is realized through computer executable program codes. The Yyn0 low-voltage distribution network theoretical line loss calculation method and system provided by the invention are suitable for three-phase load unbalance and three-phase load balance conditions
Drawings
Fig. 1 is a flow chart of a method for calculating theoretical line loss of a Yyn0 low-voltage distribution network;
fig. 2 shows a star connection of the current transformer.
Detailed Description
A specific embodiment of the present invention is shown in fig. 1.
The Yyn0 low voltage distribution network of this embodiment is a 0.4kV low voltage distribution network with a Yyn0 group of power supply and distribution transformers.
The method for calculating the theoretical line loss of the Yyn0 low-voltage distribution network comprises the following steps:
(1) data acquisition
In the embodiment, the low-voltage distribution network gateway electric energy meter device is used for collecting three-phase voltage and current values at the outlet side of the low-voltage distribution network, the sampling interval is generally 15 minutes or 30 minutes, a voltage transformer is not additionally arranged on the voltage, the electric energy meter directly collects the three-phase voltage value of the outlet, the three-phase voltage value is not converted by the voltage transformer, the current transformer adopts a star connection method, the electric energy meter collects secondary current values after three-phase current conversion, and the standard wiring of the current transformer is shown in figure 2.
(2) Data pre-processing
Aligning the acquired outlet three-phase voltage and current data sequences according to time, and deleting all acquired values at an acquisition moment if at least one acquired value exists (the acquired value is judged to be an abnormal value if the current value is more than 1000A or the voltage value is more than 480A); and if a missing value exists at a certain acquisition moment, setting the missing value to be 0.
(3) Power supply wiring mode determination
Judging a power supply wiring mode according to a three-phase current sequence, if only one phase current is constant to be 0A, judging two-phase power supply of the power supply mode, if two-phase current is constant to be 0A, judging two-phase power supply of the power supply mode, and if three-phase current is constant to be 0A, judging that a distribution area is not put into operation; and if the three-phase current is not constant to be 0A, determining that the three-phase power supply is performed.
(4) Binding group determination
The method comprises the steps of judging the connection group of the distribution transformer according to a three-phase voltage sequence, taking the minimum value of correlation coefficients of three voltage sequences of 48 or 96 acquisition points A phase and B phase, B phase and C phase, and A phase and C phase a day, setting a correlation coefficient threshold (default value 0.9), judging the connection group to be Dyn11 type if the correlation coefficient threshold is larger than the threshold, and judging the connection group to be Yyn0 type if the correlation coefficient threshold is smaller than the threshold, wherein the formula (1) is as follows:
Figure BDA0002382029830000051
wherein: u. ofa、ub、ucFor a certain day three-phase voltage sequence of the outlet voltage of the low-voltage distribution network, corr (x, y) represents the correlation coefficient of the two sequences, min () is a minimum function, and a correlation coefficient calculation formula is shown as a formula (2):
Figure BDA0002382029830000061
wherein: x is the number ofi,yiThe voltage values at the collection points at the moment i of two phases are obtained,
Figure BDA0002382029830000062
is the average value of the x sequence and is,
Figure BDA0002382029830000063
is the average of the y sequences and n is the sequence length.
In this embodiment, theoretical line loss calculation is performed on the low-voltage distribution network with the link group determined as Yyn0, and the theoretical line loss calculation of the Dyn11 low-voltage distribution network is not involved.
(5) Zero sequence impedance determination
Unlike the Dyn11 distribution transformer, the Yyn0 distribution transformer has a large influence on the outlet voltage, zero-sequence impedance needs to be considered when calculating the three-phase equivalent resistance in the step (6), and the zero-sequence impedance calculation processing steps are as follows:
1) subtracting the minimum value from the maximum value of the three-phase current of each acquisition point at the outlet of the transformer area to obtain the current difference delta i of the acquisition pointt
Δit=(max(iat,ibt,ict)-min(iat,ibt,ict))×CT (3)
Wherein: i.e. iat、ibt、ictA, b, and t,And c, converting the three phases by a current transformer to obtain a secondary outlet current value, wherein CT is a current transformation ratio.
2) Subtracting the minimum value from the maximum value of the three-phase voltage of each acquisition point of the distribution transformer to obtain the voltage difference delta u of the acquisition pointt
Δut=max(uat,ubt,uct)-min(uat,ubt,uct) (4)
Wherein: u. ofat、ubt、uctThe three-phase outlet voltage values of a, b and c are respectively t.
3) Fitting the current difference sequence delta i and the voltage difference sequence delta u formed after the processing of the formula (3) by adopting a unitary linear equation, wherein the fitting formula is shown as a formula (5):
y=a0+a1x (5)
wherein: x and y are independent variable and dependent variable respectively, a0、a1The parameters are fitted separately.
Given a sequence of current differences Δ i and a sequence of voltage differences Δ u, an error function is obtained according to equation (6):
Figure BDA0002382029830000071
to minimize the error function, the condition of equation (7) is satisfied:
Figure BDA0002382029830000072
wherein:
Figure BDA0002382029830000073
ATis a transposed matrix of a.
Obtaining a fitting parameter a according to the formula (7)0、a1Zero sequence resistance R0I.e. equal to a0
(6) Calculating the equivalent resistance
According to the preprocessed outlet three-phase voltage and current data, an equivalent resistance formula for calculating theoretical line loss is established, different from a Dyn11 low-voltage distribution network, the influence of zero-sequence impedance needs to be considered when calculating the Yyn0 low-voltage distribution network three-phase equivalent resistance, and an equation set is shown as a formula (8):
Figure BDA0002382029830000074
wherein: i isat、Ibt、IctOutlet current values, U, at t times of A, B, C three phasesat、Uat、UatRespectively A, B, C three-phase t-time outlet voltage value, Rat、Rat、RatRespectively A, B, C three-phase t moment for calculating the equivalent resistance value of the theoretical line loss value, R0The zero sequence impedance calculated for equation (7).
If the formula (9) is not equal to 0, the formula (8) of the equation set has a solution, the equivalent resistance value used for calculating the theoretical line loss value at the time t is calculated, and if the formula (9) is equal to 0, the formula (8) of the equation set has no solution, and the theoretical line loss at the time is not calculated and deleted.
Figure BDA0002382029830000081
(7) Theoretical line loss calculation
Calculating a three-phase equivalent resistance value R according to each acquisition pointat、Rat、RatAnd the three-phase outlet current and outlet voltage values can be calculated to obtain the theoretical line loss value P at the acquisition momentxstAnd low-voltage distribution network output power PtAs shown in formulas (10) and (11):
Figure BDA0002382029830000082
Pxst=UatIat+UbtIbt+UctIct(11)
further, the theoretical line loss rate P corresponding to the statistical period can be obtainedxst% is shown as formula (12):
Figure BDA0002382029830000083
wherein: pxstThe theoretical line loss value P at the time t is calculated and obtained for the formula (10)tAnd obtaining the outlet power of the low-voltage distribution network at the moment t for the acquisition device, wherein n is the number of sequence acquisition.
And the value of n is taken according to the situation, so that the theoretical line loss value and the theoretical line loss rate of the low-voltage distribution network in different statistical synchronization periods can be obtained.
(8) Example verification
To verify the effectiveness of the method for calculating the theoretical line loss of the Yyn0 low-voltage distribution network in this embodiment, the theoretical line loss calculation of a medium-voltage distribution line 2019 and 8 months of the company in the west and the country is taken as an example, and the calculation results are shown in table 1.
The actual theoretical line loss rate is calculated on the basis of the accuracy of the topological relation, the line parameters and the parameters of the distribution transformer, and as can be seen from table 1, the maximum deviation between the theoretical line loss rate calculated by the embodiment and the actual theoretical line loss rate is not more than +/-10%, so that the practical engineering requirements are met.
Table 1 table for comparing theoretical line loss and actual theoretical line loss calculated in this embodiment
Figure BDA0002382029830000091
According to the method for calculating the theoretical line loss of the Yyn0 low-voltage distribution network, the existing electric acquisition device of the electric energy meter in the distribution room is fully utilized, no additional hardware is needed, and the theoretical line loss calculation of the Yyn0 low-voltage distribution network is realized through executable program codes of computer equipment.

Claims (4)

1. A Yyn0 low-voltage distribution network theoretical line loss calculation method comprises the steps of collecting three-phase voltage and current values at an outlet of a low-voltage distribution network, and preprocessing the collected data, and is characterized in that the method calculates a Yyn0 zero-sequence impedance value of a distribution transformer through the preprocessed data; establishing a three-phase equivalent resistance equation set, and solving the three-phase equivalent resistance of each acquisition point; calculating to obtain theoretical loss power of each acquisition point and total power of the low-voltage distribution network; and calculating the theoretical line loss rate of the low-voltage distribution network in a specific statistical period according to the actual statistical period requirement.
2. The method for calculating the theoretical line loss of the Yyn0 low-voltage distribution network according to claim 1, wherein the zero-sequence impedance calculating method comprises the following steps:
(1) subtracting the minimum value from the maximum value of the three-phase current of each acquisition point at the outlet of the transformer area to obtain the current difference delta i of the acquisition pointt
Δit=(max(iat,ibt,ict)-min(iat,ibt,ict))×CT
Wherein: i.e. iat、ibt、ictThe secondary outlet current values of the a, b and c three phases at the time t are converted by a current transformer, and CT is the current transformation ratio;
(2) subtracting the minimum value from the maximum value of the three-phase voltage of each acquisition point of the distribution transformer to obtain the voltage difference delta u of the acquisition pointt
Δut=max(uat,ubt,uct)-min(uat,ubt,uct)
Wherein u isat、ubt、uctThe three-phase outlet voltage values of a, b and c are respectively t;
(3) using a unary linear equation to measure the current difference Δ itAfter the formula processing, a current difference sequence delta i and a voltage difference sequence delta u are formed for fitting, and the fitting formula is as follows:
y=a0+a1x
wherein: x and y are independent variable and dependent variable respectively, a0、a1Respectively fitting parameters;
and (3) giving a current difference sequence delta i and a voltage difference sequence delta u to obtain an error function:
Figure FDA0002382029820000011
to minimize the error function, the following condition is satisfied:
Figure FDA0002382029820000021
wherein:
Figure FDA0002382029820000022
ATis the transposed matrix of A;
obtaining a fitting parameter a according to the formula0、a1(ii) a Zero sequence impedance R0I.e. equal to a0
3. The method for calculating the theoretical line loss of the Yyn0 low-voltage distribution network according to claim 1, wherein the equivalent resistance is solved as follows:
considering the influence of neutral point deviation caused by three-phase imbalance of the Yyn0 distribution transformer zero-sequence impedance, establishing an equivalent resistance formula for calculating theoretical line loss according to preprocessed outlet three-phase voltage and current data, and calculating the influence of the zero-sequence impedance required to be considered by the Yyn0 low-voltage distribution network three-phase equivalent resistance; the equation for calculating the equivalent resistance is given by:
Figure FDA0002382029820000023
wherein: i isat、Ibt、IctA, B, C three-phase t-time outlet current values respectively; u shapeat、Uat、UatA, B, C three-phase t moment outlet voltage values respectively; rat、Rat、RatThe equivalent resistance values are used for calculating theoretical line loss values at A, B, C three-phase t moments respectively; r0Is zero sequence impedance;
the equation set of the equivalent resistance has a solution of
Figure FDA0002382029820000024
Calculating an equivalent resistance value used for calculating the theoretical line loss value at the time t; when the above equation is equal to zero, the equation set of the equivalent resistance is solvedThe theoretical line loss at that time is not calculated and deleted.
4. The system for realizing the Yyn0 low-voltage distribution network theoretical line loss calculation method according to claims 1-3, comprising an electric energy meter acquisition device and a computer device, wherein the computer device comprises a memory, a processor and a computer program stored on the memory and capable of running on the processor, and the processor executes the program to realize the following steps:
(1) preprocessing three-phase voltage, current and active electric quantity data collected at the power supply outlet side of the Yyn0 low-voltage power distribution network;
(2) judging a power supply wiring mode according to a Yyn0 low-voltage distribution network three-phase current sequence;
(3) judging the coupling group of the distribution transformer according to a Yyn0 low-voltage distribution network three-phase voltage sequence;
(4) solving the zero sequence impedance of the distribution transformer;
(5) establishing an equivalent resistance formula for calculating theoretical line loss according to the preprocessed outlet three-phase voltage and current data, and solving a three-phase equivalent resistance equation set;
(6) calculating the theoretical line loss power of the Yyn0 low-voltage distribution network;
(7) and calculating the daily and monthly theoretical line loss rate of each acquisition point according to actual needs, and calculating the theoretical line loss rate in different statistical periods.
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