CN112364516A - 10kV feeder line optimal load capacity calculation method considering different load structures - Google Patents
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Abstract
A10 kV feeder line optimal load capacity calculation method considering different load structures comprises the following steps: establishing a 10kV feeder line optimal load capacity calculation model, wherein the calculation model takes the minimum of total distribution line investment and power grid profit as a target function and takes equipment load rate constraint, equipment load matching constraint and reliability constraint as constraint conditions; and then, calling an fmincon function in matlab simulation to solve the 10kV feeder line optimal load capacity calculation model. The invention provides a method for calculating the optimal load capacity of a 10kV feeder line, which combines reliability and economy and considers the optimal load capacity of the 10kV feeder line with different load structures, and can be suitable for calculating the optimal load capacity of the 10kV feeder line under different load structures. The method reasonably evaluates the asset utilization level of the 10kV feeder line, and provides a reference basis for load planning and operation level analysis of the 10kV feeder line.
Description
Technical Field
The invention relates to a method for calculating the optimal load capacity of a 10kV feeder line. In particular to a calculation method for the optimal load capacity of a 10kV feeder line considering different load structures.
Background
The scientific and reasonable evaluation of the optimal load capacity of the distribution network has great significance for improving the utilization level of equipment, ensuring the reliable power supply of the distribution network and saving the investment cost, thereby becoming the focus of attention of technicians at present. Document [1] proposes an electrical equipment load capacity evaluation method that takes into account the entire life cycle, taking into account the load factor of the equipment, the load factor peak value, and the actual operating life. The document [2] defines the utilization rate of the equipment by combining the concept of the load rate, considers the influence factors such as the 'N-x' criterion, the load characteristics, the load development and the like, and provides the evaluation standard of the load capacity of the equipment of the power distribution network and corresponding improvement measures. Document [3] adopts a gray correlation threshold variable weight method to adjust multiple power distribution network equipment utilization index weights determined by an Analytic Hierarchy Process (AHP), avoids influence caused by index correlation, and provides a method for determining fuzzy measure by using adjusted weights and an optimization idea to obtain an equipment load capacity comprehensive evaluation value.
The analysis of the optimal load capacity of the power distribution network equipment by the research is divided into two categories, one category is to combine the concept of the operation efficiency, analyze the main influence factors of the operation efficiency of the power distribution network, conclude the reasonable operation efficiency evaluation index and combine various weight assignment methods to evaluate the operation efficiency of the equipment and the optimal load capacity of the equipment. Although the method systematically shows the influence of different influence factors on the operation efficiency of the equipment, the selection of specific indexes and the corresponding weights thereof lack scientific and reasonable bases. The other type is that the optimal load capacity of the equipment is calculated based on the rigid constraint of the safety criterion of 'N-1', and the calculated load capacity of the equipment still has a great promotion space. In addition, the load structure of the power distribution network is complex and various, and technicians can thoroughly analyze the difference of the load capacity of the equipment under different load structures.
In summary, how to provide a calculation method for the optimal load capacity of a 10kV feeder line considering different load structures to scientifically and reasonably evaluate the operation condition of the current medium-voltage distribution line becomes a technical problem to be solved by those skilled in the art.
Disclosure of Invention
The invention aims to solve the technical problem of providing a 10kV feeder line optimal load capacity calculation method which can not only solve the problem that the optimal load capacity of a line under different load structures is difficult to reasonably measure by adopting an N-1 criterion, but also can fully consider the line operation economy under different load structures and consider different load structures.
The technical scheme adopted by the invention is as follows: a10 kV feeder line optimal load capacity calculation method considering different load structures comprises the following steps: establishing a 10kV feeder line optimal load capacity calculation model, wherein the calculation model takes the minimum of total distribution line investment and power grid profit as a target function and takes equipment load rate constraint, equipment load matching constraint and reliability constraint as constraint conditions; and then, calling an fmincon function in matlab simulation to solve the 10kV feeder line optimal load capacity calculation model.
The objective function formula is as follows:
in the formula: minB as an objective function, CRel、Ceq、CProThe power failure loss cost of the 10kV feeder line, the construction investment and the overhaul and maintenance cost of the distribution line and the income of the power grid are respectively.
The power failure loss cost C of the 10kV feeder lineRelThe calculation formula is as follows:
Ckj＝xCRe+yCIn+zCCo (2)
in the formula: x, y and z are respectively the proportion of the residential load, the industrial load and the commercial load in the line; cRe、CIn、CCoRepresenting the loss of power outage per hour for residential, industrial and commercial unit loads, respectively; ckjPower loss for a single user of different load configurations;
the average load value of the user in the power failure time is obtained; t is tkjThe power failure time of the jth user is the kth fault; q is the total number of power failure users in the kth fault; p is the total number of failed blackouts within a specified time.
Distribution line construction investment and maintenance cost CeqThe calculation formula is as follows:
in the formula: zeqThe total cost of a 10kV feeder line; piL、πK、πPThe unit construction investment costs of the distribution line, the switch element and the distribution transformer are respectively; l is the length of the distribution line; n is a radical ofk、NpSwitching elements and distribution transformer numbers; t iseqIs the life cycle of the device; beta is aL、βK、βPAnnual inspection repair cost rates of the distribution lines, the switching elements and the distribution transformers respectively; f is the electric power industry discount rate.
The power grid income CProThe calculation formula is as follows:
CE,s＝xCE，Re+yCE,In+zCE,Co (6)
in the formula: x, y and z are respectively the proportion of the residential load, the industrial load and the commercial load in the line; cE,Re、CE,In、CE,CoElectricity rates for residential load, industrial load, and commercial load, respectively; cE,sElectricity prices for individual users of different load configurations; cBThe price of the post is the price; ms(t) is the real-time load value of the s-th load point; and a is the total number of load points of the medium voltage distribution line.
The constraint conditions are as follows:
(1) device load rate constraints
0≤mL≤1 (9)
0≤mP,d≤1 (10)
In the formula: m isLThe load factor of the medium-voltage distribution line; m isP,dLoad factor for each distribution;
(2) device load matching constraints
In the formula: a. theLCapacity of the medium voltage distribution line; a. thePIs the capacity of the distribution transformer; d is the number of distribution transformers;
(3) reliability constraints
In the formula: ASAI is the average power supply availability of the system; n is a radical ofsThe number of users at the load point s; t is tsThe total annual outage time at load point s; t isnThe power demand time of the user within one year; and R is a reliability target set in combination with the operation basis of the distribution line.
The method for calling the fmincon function in matlab simulation to solve the 10kV feeder line optimal load capacity calculation model comprises the following steps:
(1) inputting initial conditions including initial values of different types of load proportion and initial values of load rate of the distribution line;
(2) calculating the construction investment, the maintenance cost and the power grid income of the distribution line in the objective function according to the initial load proportion value and the initial load rate value;
(3) according to the proportion in the input load proportion initial value, the typical load characteristic curves of different types of loads are superposed to obtain user load characteristic curves representing different load structures;
(4) initializing an analog clock to be 0, and randomly generating the before-failure running time TTF of each of 3 types of elements, namely a distribution line, a switching element and a distribution transformer; finding the minimum runtime TTFrFor minimum time to run TTFrThe corresponding r-th element generates the repair time TTRrAnd advance the analog clock to the TTFr；
(5) Reading the load value of the user carried by the distribution line when the r-th element fails by using the user load characteristic curve, and determining the power failure time of each user based on the fault analysis process of the feeder line partition;
(6) generating a new random number and converting it into new running time TTF of the r-th elementr′；
(7) Judging whether the analog clock is year-striding, and accumulating the recorded power failure time of all users to the current-year outage time if the analog clock is not year-striding; if the year is crossed, calculating the reliability index of the system;
(8) judging whether the simulation clock advances to a set time length required by meeting the evaluation precision, if so, ending the simulation process, counting the system reliability indexes of each simulation year, averaging, and if not, returning to the step (4);
(9) calculating the power failure loss cost of the 10kV feeder line in the target function according to the average value of the system reliability index;
(10) inputting three variables in the objective function, namely, the power failure loss cost of the 10kV feeder line, the construction investment and the overhaul and maintenance cost of the distribution line and the power grid income, into the fmincon function as parameters, finishing the solution when the result of the objective function is converged or reaches the maximum iteration number, and outputting the initial value of the load rate of the line as the optimal load capacity of the line under the load structure; and (4) if the solution does not reach the termination condition, updating the initial value of the load rate and returning to the step (2).
And (7) calculating the system reliability index by calculating the system average power supply availability ASAI of the 10kV feeder line.
The invention provides a method for calculating the optimal load capacity of a 10kV feeder line, which combines reliability and economy and considers the optimal load capacity of the 10kV feeder line with different load structures, and can be suitable for calculating the optimal load capacity of the 10kV feeder line under different load structures. The method reasonably evaluates the asset utilization level of the 10kV feeder line, and provides a reference basis for load planning and operation level analysis of the 10kV feeder line.
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Fig. 1 is a flow chart of solving the 10kV feeder optimum load capacity calculation model in the present invention.
Detailed Description
The following describes the method for calculating the optimal load capacity of a 10kV feeder line considering different load structures in detail with reference to the embodiment and the accompanying drawings.
The research on the optimal load capacity of the 10kV feeder line needs to comprehensively consider the economic efficiency of total investment and the safety of operation, and specifically comprises the following three aspects:
(1) and the economic efficiency is utilized. The utilization economy is mainly embodied by the total load carried by the 10kV feeder line. For the same grid structure, the larger the total load of the 10kV feeder line is, the lower the construction cost of the 10kV feeder line corresponding to the unit load is, and the more economical the 10kV feeder line is in use.
(2) And (4) the quality of power supply. The quality of the power supply is mainly reflected by the voltage qualification rate. Voltage yield can be seen as another manifestation of device losses, with the overall tendency to vary with load being similar to device losses, and too high a load will also adversely affect power quality.
(3) And (4) continuity of power supply. The power supply continuity is mainly embodied by the power supply reliability. For the same grid structure, the larger the total load carried by the 10kV feeder is, the more difficulty in transferring the load after the equipment failure will be increased, and part of the load may not be transferred out in time due to the limitation of the equipment capacity, which has adverse effect on the power supply reliability of the 10kV feeder.
Based on the analysis, the key indexes for calculating the optimal load capacity of the 10kV feeder line comprise the investment cost of the 10kV feeder line, reliability indexes and power grid benefits.
Based on the above, the method for calculating the optimal load capacity of the 10kV feeder line considering different load structures of the present invention comprises: establishing a 10kV feeder line optimal load capacity calculation model, wherein the calculation model takes the minimum of total distribution line investment and power grid profit as a target function and takes equipment load rate constraint, equipment load matching constraint and reliability constraint as constraint conditions; and calling an fmincon function in matlab simulation to solve the 10kV feeder line optimal load capacity calculation model. Wherein:
1) the reliability index can be average power supply availability (ASAI), and the difference of the average power supply availability can be reflected by different power failure losses, so that the 10kV feeder line full-life cycle economic analysis mainly comprises the 10kV feeder line power failure loss cost, equipment construction investment, overhaul and maintenance cost and distribution line profit. However, the power grid structure is complex, and the proportion of the distribution line income to the total income of the power grid is difficult to directly measure. The invention indirectly measures the economy of the 10kV feeder line by using the characteristic that the proportion is constant and aiming at minimizing the total input of the distribution line and the income of the power grid. The objective function formula in the invention is as follows:
in the formula: minB as an objective function, CRel、Ceq、CProThe power failure loss cost of the 10kV feeder line, the construction investment and the overhaul and maintenance cost of the distribution line and the income of the power grid are respectively.
(1.1) the common reliability cost metering method is power failure loss. The power failure loss is economic loss caused by fault power failure to the power grid and users, and is caused by the type, the quantity and the stop of the loadThe electrical time variation is large and is a variable cost in economic analysis. The power failure loss representing a single user with different load structures is obtained according to the respective power failure loss and proportion superposition of different types of loads, and the power failure loss cost C of the 10kV feeder line is further obtainedRelThe calculation formula is as follows:
Ckj＝xCRe+yCIn+zCCo (2)
in the formula: x, y and z are respectively the proportion of the residential load, the industrial load and the commercial load in the line; cRe、CIn、CCoRepresenting the loss of power outage per hour for residential, industrial and commercial unit loads, respectively; ckjPower loss for a single user of different load configurations;
the average load value of the user in the power failure time is obtained; t is tkjThe power failure time of the jth user is the kth fault; q is the total number of power failure users in the kth fault; p is the total number of failed blackouts within a specified time.
(1.2) the equipment construction investment and overhaul and maintenance cost do not change with the type and quantity of the load basically, and are fixed costs in the economic analysiseqThe calculation formula is as follows:
in the formula: zeqThe total cost of a 10kV feeder line; piL、πK、πPAre respectively distribution linesUnit construction investment costs for switching elements and distribution transformers; l is the length of the distribution line; n is a radical ofk、NpSwitching elements and distribution transformer numbers; t iseqIs the life cycle of the device; beta is aL、βK、βPAnnual inspection repair cost rates of the distribution lines, the switching elements and the distribution transformers respectively; f is the electric power industry discount rate.
(1.3) the income of the electricity price is the main source of the income of the power distribution company, the income varies greatly with the types and the quantity of the loads, and the income C of the power grid isProThe calculation formula is as follows:
CE,s＝xCE，Re+yCE,In+zCE,Co (6)
in the formula: x, y and z are respectively the proportion of the residential load, the industrial load and the commercial load in the line; cE,Re、CE,In、CE,CoElectricity rates for residential load, industrial load, and commercial load, respectively; cE,sElectricity prices for individual users of different load configurations; cBThe price of the post is the price; ms(t) is the real-time load value of the s-th load point; and a is the total number of load points of the medium voltage distribution line.
2) The constraint conditions are as follows:
(2.1) device load Rate constraints
0≤mL≤1 (9)
0≤mP,d≤1 (10)
In the formula: m isLThe load factor of the medium-voltage distribution line; m isP,dLoad factor for each distribution;
(2.2) device load matching constraints
In the formula: a. theLCapacity of the medium voltage distribution line; a. thePIs the capacity of the distribution transformer; d is the number of distribution transformers;
(2.3) reliability constraints
In the formula: ASAI is the average power supply availability of the system; n is a radical ofsThe number of users at the load point s; t is tsThe total annual outage time at load point s; t isnThe power demand time of the user within one year; and R is a reliability target set in combination with the operation basis of the distribution line.
3) The method for calling the fmincon function in matlab simulation to solve the 10kV feeder line optimal load capacity calculation model comprises the following steps of:
(3.1) inputting initial conditions, including initial values of different types of load proportion and initial values of load rate of the distribution line;
(3.2) calculating the construction investment, the overhaul and maintenance cost and the power grid income of the distribution line in the objective function according to the initial load proportion value and the initial load rate value;
(3.3) according to the proportion in the initial value of the input load proportion, superposing typical load characteristic curves of different types of loads to obtain user load characteristic curves representing different load structures;
(3.4) initializing the analog clock to be 0, and randomly generating the before-failure running time TTF of each of the 3 types of elements of the distribution line, the switching element and the distribution transformer; finding the minimum runtime TTFrFor minimum time to run TTFrThe corresponding r-th element generates the repair time TTRrAnd advance the analog clock to the TTFr；
(3.5) reading the load value of the user carried by the distribution line when the r element has a fault through the user load characteristic curve, and analyzing the fault based on the feeder line partition[4]Determining the power failure time of each user;
(3.6) generating a new random number and converting it into the new running time TTF of the r-th elementr′；
(3.7) judging whether the analog clock spans years or not, and if not, accumulating the recorded power failure time of all users into the outage time of the current year; and if the system is in an overyear state, calculating a system reliability index, wherein the calculated system reliability index is the ASAI for calculating the average system power supply availability of the 10kV feeder line.
(3.8) judging whether the simulation clock advances to the set time length required by meeting the evaluation precision, if so, ending the simulation process, counting the system reliability indexes of each simulation year, averaging, and if not, returning to the step (3.4);
(3.9) calculating the power failure loss cost of the 10kV feeder line in the objective function according to the average value of the system reliability index;
(3.10) inputting three variables in the objective function, namely the power failure loss cost of the 10kV feeder line, the construction investment and maintenance cost of the distribution line and the income of the power grid, into the fmincon function as parameters, finishing the solution when the result of the objective function is converged or reaches the maximum iteration times, and outputting an initial value of the load rate of the line as the optimal load capacity of the line under the load structure; if the solution does not reach the termination condition, updating the initial value of the load rate and returning to the step (3.2);
reference documents:
[1]HU Zhuangli,ZHANG Yongjun,LI Canbing,et al.Utilization efficiency of electrical equipment within life cycle assessment:indexes,analysis and a case[J].Energy，2015,88:885-896..
[2] liu flood, Yangyuang, Wang Chengshan, and the like, the evaluation standard of the utilization rate of power distribution network equipment and the promotion measure [ J ] power grid technology, 2014,38(02):419-423.
[3] Guanyu balance, Wanlong Jun, Sun Chuan, etc. the operating efficiency of the grid equipment considering the regional differences is evaluated [ J ] China electric power, 2018,51(02):61-66.
[4] The reliability of distributed power access distribution network based on feeder zoning is evaluated [ J ]. the university of North China, university of electric Power, university of Nature, 2015,42(06):29-34.
Claims (8)
1. A10 kV feeder line optimal load capacity calculation method considering different load structures is characterized by comprising the following steps: establishing a 10kV feeder line optimal load capacity calculation model, wherein the calculation model takes the minimum of total distribution line investment and power grid profit as a target function and takes equipment load rate constraint, equipment load matching constraint and reliability constraint as constraint conditions; and then, calling an fmincon function in matlab simulation to solve the 10kV feeder line optimal load capacity calculation model.
2. A method as claimed in claim 1, wherein said objective function is formulated as follows:
in the formula: minB as an objective function, CRel、Ceq、CProThe power failure loss cost of the 10kV feeder line, the construction investment and the overhaul and maintenance cost of the distribution line and the income of the power grid are respectively.
3. The method as claimed in claim 2, wherein the 10kV feeder line power failure loss cost C is calculated by considering the optimal load capacity of the 10kV feeder line with different load structuresRelThe calculation formula is as follows:
Ckj＝xCRe+yCIn+zCCo (2)
in the formula: x, y and z are respectively the proportion of the residential load, the industrial load and the commercial load in the line; cRe、CIn、CCoRepresenting the loss of power outage per hour for residential, industrial and commercial unit loads, respectively; ckjPower loss for a single user of different load configurations;
the average load value of the user in the power failure time is obtained; t is tkjThe power failure time of the jth user is the kth fault; q is the total number of power failure users in the kth fault; p is the total number of failed blackouts within a specified time.
4. The method of claim 2, wherein the distribution line construction investment and maintenance cost C is a maintenance costeqThe calculation formula is as follows:
in the formula: zeqThe total cost of a 10kV feeder line; piL、πK、πPThe unit construction investment costs of the distribution line, the switch element and the distribution transformer are respectively; l is the length of the distribution line; n is a radical ofk、NpSwitching elements and distribution transformer numbers; t iseqIs the life cycle of the device; beta is aL、βK、βPAnnual inspection repair cost rates of the distribution lines, the switching elements and the distribution transformers respectively; f is the electric power industry discount rate.
5. A method as claimed in claim 2, wherein said network profit C is calculated by taking into account the optimal load capacity of a 10kV feeder with different load configurationsProThe calculation formula is as follows:
CE,s＝xCE，Re+yCE,In+zCE,Co (6)
in the formula: x, y and z are respectively the proportion of the residential load, the industrial load and the commercial load in the line; cE,Re、CE,In、CE,CoElectricity rates for residential load, industrial load, and commercial load, respectively; cE,sElectricity prices for individual users of different load configurations; cBThe price of the post is the price; ms(t) is the real-time load value of the s-th load point; and a is the total number of load points of the medium voltage distribution line.
6. A method as claimed in claim 1, wherein the constraint includes:
(1) device load rate constraints
0≤mL≤1 (9)
0≤mP,d≤1 (10)
In the formula: m isLThe load factor of the medium-voltage distribution line; m isP,dLoad factor for each distribution;
(2) device load matching constraints
In the formula: a. theLCapacity of the medium voltage distribution line; a. thePIs the capacity of the distribution transformer; d is the number of distribution transformers;
(3) reliability constraints
In the formula: ASAI is the average power supply availability of the system; n is a radical ofsThe number of users at the load point s; t is tsThe total annual outage time at load point s; t isnThe power demand time of the user within one year; and R is a reliability target set in combination with the operation basis of the distribution line.
7. The method for calculating the optimal load capacity of the 10kV feeder line considering different load structures according to claim 1, wherein the step of calling the fmincon function in matlab simulation to solve the optimal load capacity calculation model of the 10kV feeder line comprises the following steps:
(1) inputting initial conditions including initial values of different types of load proportion and initial values of load rate of the distribution line;
(2) calculating the construction investment, the maintenance cost and the power grid income of the distribution line in the objective function according to the initial load proportion value and the initial load rate value;
(3) according to the proportion in the input load proportion initial value, the typical load characteristic curves of different types of loads are superposed to obtain user load characteristic curves representing different load structures;
(4) initializing an analog clock to be 0, and randomly generating the before-failure running time TTF of each of 3 types of elements, namely a distribution line, a switching element and a distribution transformer; finding the minimum runtime TTFrFor minimum time to run TTFrThe corresponding r-th element generates the repair time TTRrAnd advance the analog clock to the TTFr；
(5) Reading the load value of the user carried by the distribution line when the r-th element fails by using the user load characteristic curve, and determining the power failure time of each user based on the fault analysis process of the feeder line partition;
(6) generating a new random number and converting it into new running time TTF of the r-th elementr′；
(7) Judging whether the analog clock is year-striding, and accumulating the recorded power failure time of all users to the current-year outage time if the analog clock is not year-striding; if the year is crossed, calculating the reliability index of the system;
(8) judging whether the simulation clock advances to a set time length required by meeting the evaluation precision, if so, ending the simulation process, counting the system reliability indexes of each simulation year, averaging, and if not, returning to the step (4);
(9) calculating the power failure loss cost of the 10kV feeder line in the target function according to the average value of the system reliability index;
(10) inputting three variables in the objective function, namely, the power failure loss cost of the 10kV feeder line, the construction investment and the overhaul and maintenance cost of the distribution line and the power grid income, into the fmincon function as parameters, finishing the solution when the result of the objective function is converged or reaches the maximum iteration number, and outputting the initial value of the load rate of the line as the optimal load capacity of the line under the load structure; and (4) if the solution does not reach the termination condition, updating the initial value of the load rate and returning to the step (2).
8. The method for calculating the optimal load capacity of a 10kV feeder line considering different load structures as claimed in claim 7, wherein the calculating the system reliability index in step (7) is calculating the average system power supply availability ASAI of the 10kV feeder line.
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| PCT/CN2022/072359 WO2022105944A1 (en) | 2020-11-18 | 2022-01-17 | A method for calculating optimal load capacity of 10 kv feeder taking into account impact of different load structures and reliabilities |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN113049919A (en) * | 2021-03-23 | 2021-06-29 | 绍兴大明电力设计院有限公司 | Method and system for identifying diversity of medium-voltage feeder line power supply load characteristics |
| CN113394776A (en) * | 2021-07-07 | 2021-09-14 | 国网天津市电力公司 | Power distribution network power supply capacity evaluation method based on flexible cold and hot demands |
| CN113771675A (en) * | 2021-10-09 | 2021-12-10 | 南方电网数字电网研究院有限公司 | Ordered charging method and system |
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