CN109840614B - Transformer optimal equipment utilization rate control method based on life cycle cost - Google Patents
Transformer optimal equipment utilization rate control method based on life cycle cost Download PDFInfo
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Abstract
The invention provides a method for controlling the optimal equipment utilization rate of a transformer based on life cycle cost, which comprises the following specific steps: firstly, acquiring basic parameters of a transformer, running cost data of the transformer, pumping electricity price, typical daily transformer load rate in four seasons and the like; secondly, establishing an optimal equipment utilization rate optimization model of the power distribution network transformer by taking the annual unit load cost of the minimized transformer as a target function; then, solving the optimization model through MATLAB software; and finally, determining the optimal equipment utilization value of the distribution network transformer according to the optimal solution. The invention provides a method for controlling the optimal equipment utilization rate of a distribution network transformer, and the method can obtain the optimal equipment utilization rate value of the transformer which meets the safety and the economy simultaneously so as to guide the reasonable planning of distribution network equipment.
Description
Technical Field
The invention relates to a problem of determining the optimal equipment utilization rate of a distribution network transformer, in particular to a method for controlling the optimal equipment utilization rate of the distribution network transformer based on life cycle cost.
Background
The utilization rate of the transformer equipment is an important index for reflecting the economical efficiency of power grid construction, and is an important basis for planning the transformer of the power distribution network. In recent years, many methods such as capacity factors and load rates are proposed for evaluation indexes of the utilization rate of the transformer equipment of the power distribution network, but reports on how to determine the optimal utilization rate of the transformer equipment are rare.
The method for determining the optimal equipment utilization rate of the transformer based on the life cycle cost can provide guidance for reasonable allocation of technical improvement funds of the power distribution network in China, and has practical significance.
Disclosure of Invention
The invention aims to solve the problem of how to determine the optimal equipment utilization rate of the transformer and provide guidance for operation and planning of the transformer of the power distribution network.
The invention provides a method for controlling the optimal equipment utilization rate of a power distribution network transformer based on life cycle cost, which comprises the following steps:
(1) acquiring basic parameters of a transformer, running cost data of the transformer, pumping price of electricity, typical daily transformer load rate in four seasons and the like;
(2) establishing an optimal equipment utilization rate optimization model of the power distribution network transformer by taking the annual unit load cost of the minimized transformer as a target function;
(3) solving the optimization model through MATLAB software;
(4) and determining the optimal equipment utilization value of the distribution network transformer according to the optimal solution.
The method for controlling the optimal equipment utilization rate of the distribution network transformer based on the life cycle cost is characterized in that the equipment utilization rate refers to a capacity factor, namely the ratio of the average load power of the evaluated transformer in statistical time (one year) to the rated power of the evaluated transformer, and a specific calculation formula is as follows:
wherein the content of the first and second substances,
is a transformer capacity factor; e load The total load capacity of the transformer in a statistical period (one year); s. the N The rated capacity of the transformer; t is the statistical period, here one year.
The basic parameters of the transformer in the step (1) comprise rated capacity, rated load loss and no-load loss of the transformer; the transformer operation cost data comprises initial total investment of the transformer, labor cost of annual operation and maintenance of the transformer, a transformer overhaul cost conversion coefficient, a social conversion rate, an expected operation age limit of the transformer, a transformer scrapping disposal conversion coefficient, a transformer residual value conversion coefficient, transformer fault mean repair time, a transformer fault rate, a power generation ratio of an area where the transformer is located, power selling profit of the area where the transformer is located and the like; the typical day is a day arbitrarily selected from one season.
In the step (2), the annual unit load cost of the transformer is defined as a ratio of annual cost to annual total load electricity of the transformer, which is converted from the total life cycle cost of the transformer, and a specific calculation formula is as follows:
wherein the content of the first and second substances,
the annual unit load cost of the transformer;
the cost of the whole life cycle of the transformer is converted into annual cost per year; e load The total electric quantity is loaded for the transformer year;
the annual running time of the transformer;
defining the load fluctuation rate of the transformer as the ratio of the load of the transformer at the moment i to the annual average load of the transformer, and reflecting the load characteristic of the transformer; a. the T 、B T 、C T 、D T Is composed of
Equivalent coefficients in the calculation formula; p is k Rated load loss for the transformer; m price The price of the wharf incoming electricity is the electricity price of each electricity;
labor cost for annual operation and maintenance of the transformer; alpha is the maintenance cost conversion coefficient of the transformer; lambda [ alpha ] scrap Converting the coefficient for the disposal of the transformer; lambda [ alpha ] residual Converting the residual value of the transformer into a coefficient;
converting the initial investment of the transformer into the annual investment cost of each year in the whole life cycle, wherein a specific calculation formula is shown as a formula (3);
initial total investment for the transformer; i is social discount rate; a is the expected operation life of the transformer; p 0 Is the no-load loss of the transformer; s. the N The rated capacity of the transformer;
mean time to repair the transformer fault;
the failure rate of the transformer is determined;
the power generation ratio of the area where the transformer is located;
and selling electricity for the area where the transformer is located.
The optimal equipment utilization rate optimization model of the distribution network transformer in the step (2) comprises an objective function and constraint conditions:
the objective function is as follows:
the constraint conditions are as follows:
wherein eta is N-1 The maximum value of the allowed capacity factor of the transformer is ensured under the 'N-1' rule.
Compared with the prior art, the invention has the beneficial effects that:
(1) the optimal equipment utilization rate of the transformer is effectively determined, the N-1 criterion of the transformer and the annual unit load cost are met, and a basis is provided for the utilization efficiency evaluation and the capacity planning of the power distribution network transformer.
(2) The calculation method for the optimal equipment utilization rate of the power distribution network transformer is simple and intuitive, does not involve iterative calculation, and is high in calculation speed.
Drawings
FIG. 1 is a schematic diagram of a method for controlling optimal equipment utilization of a distribution network transformer based on life cycle cost;
FIG. 2 is a graph of typical daily transformer load rate for four seasons
Detailed Description
The following description of the embodiments of the present invention is provided in connection with the accompanying drawings and examples. It is to be understood that the embodiments described are only a few embodiments of the present invention, and not all embodiments of the present invention, and that the following signs or processes, not specifically described in detail, are all understood or implemented by those skilled in the art with reference to the prior art.
Fig. 1 shows a method for controlling optimal device utilization of a transformer of a full-life-cycle cost distribution network according to an embodiment of the present invention, which includes the following steps:
(1) acquiring basic parameters of a transformer, running cost data of the transformer, pumping price of electricity, typical daily transformer load rate in four seasons and the like;
the typical daily transformer load rates for the four seasons are shown in fig. 2.
(2) Establishing an optimal equipment utilization rate optimization model of the power distribution network transformer by taking the annual unit load cost of the minimized transformer as a target function;
the annual unit load cost of the transformer is defined as the ratio of annual cost to annual total load electric quantity of the transformer converted from the whole life cycle cost of the transformer, and the specific calculation formula is shown as the formula (1),
wherein the content of the first and second substances,
the annual unit load cost of the transformer;
the cost of the whole life cycle of the transformer is converted into annual cost per year; e load The total electric quantity is loaded for the transformer year;
the annual running time of the transformer;
defining the load fluctuation rate of the transformer as the ratio of the load of the transformer at the moment i to the annual average load of the transformer, and reflecting the load characteristic of the transformer; a. the T 、B T 、C T 、D T Is composed of
Equivalent coefficients in the calculation formula; p k Rated load loss for the transformer; m price The price of the wharf incoming electricity is the electricity price of each electricity;
labor cost for annual operation and maintenance of the transformer; alpha is the maintenance cost conversion coefficient of the transformer; lambda [ alpha ] scrap Converting coefficients for disposal of the transformer; lambda [ alpha ] residual Converting the residual value of the transformer into a coefficient;
the specific calculation is carried out for converting the initial investment of the transformer to the annual investment cost of each year in the whole life cycleThe calculation formula is shown as formula (3);
initial total investment for the transformer; i is social discount rate; a is the expected operation life of the transformer; p 0 Is the no-load loss of the transformer; s N The rated capacity of the transformer;
the average repair time for the transformer fault is calculated;
the failure rate of the transformer is determined;
the power generation ratio of the area where the transformer is located;
and selling electricity for the area where the transformer is located.
The above-mentioned equipment utilization rate refers to a capacity factor, that is, a ratio of an average load power of the evaluated transformer to a rated power thereof within a statistical time (one year), and a specific calculation formula is as follows:
the optimal equipment utilization rate optimization model of the distribution network transformer comprises an objective function and constraint conditions:
the objective function is as follows:
the constraint conditions are as follows:
wherein eta is N-1 The maximum value of the capacity factor allowed by the transformer under the standard of guaranteeing 'N-1'.
(3) Solving the optimal solution of the optimization model by using an fminbnd function in MATLAB software;
(4) and determining the optimal equipment utilization value of the distribution network transformer according to the optimal solution.
The following is a practical example of the method, and the method is used for carrying out simulation calculation by taking a 20MW transformer in a transformer substation adopting a 2-station interconnection mode as an example, wherein the maximum value eta of the allowed capacity factor of the transformer is under the standard of guaranteeing' N-1 N-1 The content was found to be 75%.
(1) The basic parameters of the transformer, the running cost data of the transformer and the pumping price are shown in the table 1, and the typical daily load rate of four seasons is shown in the figure 2.
TABLE 1 parameter table
(2) Calculating according to the parameters to obtain an optimal equipment utilization rate optimization model of the distribution network transformer, which is as follows:
the objective function is:
the constraint conditions are as follows:
(3) the optimal solution of the optimization model is solved to 69.3% by using an fminbnd function in MATLAB software;
(4) the optimal equipment utilization value of the distribution network transformer is 69.3%.
In conclusion, the invention provides a method for controlling the optimal equipment utilization rate of the transformer of the power distribution network based on the life cycle cost, the optimal equipment utilization rate of the transformer can be determined through the scheme, the N-1 criterion of the transformer is met, the annual unit load cost is minimum, and a basis is provided for the utilization efficiency evaluation and the capacity planning of the transformer of the power distribution network.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents and are intended to be included in the scope of the present invention.
Claims (3)
1. The method for controlling the optimal equipment utilization rate of the transformer based on the life cycle cost is characterized by comprising the following steps of:
(1) acquiring basic parameters of a transformer, running cost data of the transformer, pumping price of electricity and typical daily transformer load rate in four seasons;
(2) establishing an optimal equipment utilization rate optimization model of the power distribution network transformer by taking the annual unit load cost of the minimized transformer as a target function; the annual unit load cost is defined as: the total life cycle cost of the transformer is converted into the ratio of annual cost to annual total load electric quantity, and the specific calculation formula is as follows:
the annual unit load cost in the step (2) is defined as: the total life cycle cost of the transformer is converted into the ratio of annual cost to annual total load electric quantity, and the specific calculation formula is as follows:
wherein the content of the first and second substances,
for a transformerAnnual unit load cost;
the cost of the whole life cycle of the transformer is converted into annual cost; e load The total electric quantity is loaded for the transformer year;
the annual running time of the transformer;
the load fluctuation rate of the transformer is defined as the ratio of the load of the transformer at the moment i to the annual average load of the transformer, and the load characteristic of the transformer is reflected; a. the T 、B T 、C T 、D T Is composed of
Equivalent coefficients in the calculation formula; p k Taking 97.6 as rated load loss of the transformer; m is a group of price Taking 0.5 for the wharf charging price of each electricity;
taking 0.025 as the labor cost of annual operation and maintenance of the transformer; alpha is a transformer overhaul cost conversion coefficient, and 0.015 is taken; lambda scrap Taking 1% as a conversion coefficient of the scrapping disposal of the transformer; lambda [ alpha ] residual Taking the residual value as a conversion coefficient of the transformer, and taking 30 percent;
converting the initial investment of the transformer into the annual investment cost of each year in the whole life cycle, wherein a specific calculation formula is shown as a formula (3);
initial total investment for the transformer; i is social discount rate; alpha is the expected operation life of the transformer; p is 0 Taking 23.8 as the no-load loss of the transformer; s N The rated capacity of the transformer;
mean time to repair the transformer fault;
the failure rate of the transformer is;
the power generation ratio of the area where the transformer is located;
the profit of electricity selling for the area where the transformer is located;
the equipment utilization rate is a capacity factor, namely the ratio of the average load power of the evaluated transformer to the rated power of the evaluated transformer within one statistical year, and a specific calculation formula is as follows:
wherein the content of the first and second substances,
is the transformer capacity factor; e load The total load electric quantity of the transformer in the statistical period is obtained; s N Is the rated capacity of the transformer; t is a statistical period;
the optimal equipment utilization rate optimization model of the distribution network transformer in the step (2) comprises an objective function and constraint conditions:
the objective function is as follows:
the constraint conditions are as follows:
wherein eta is N-1 The maximum value of the capacity factor allowed by the transformer is ensured under the 'N-1' criterion;
(3) solving the optimization model through MATLAB software;
(4) and determining the optimal equipment utilization value of the distribution network transformer according to the optimal solution.
2. The method for controlling the utilization rate of the transformer equipment of the power distribution network based on the life cycle cost according to claim 1, wherein the basic parameters of the transformer in the step (1) comprise rated capacity, rated load loss and no-load loss of the transformer; the transformer operation cost data comprises initial total investment of the transformer, labor cost of annual operation and maintenance of the transformer, a transformer overhaul cost conversion coefficient, a social conversion rate, an expected operation age limit of the transformer, a transformer scrapping disposal conversion coefficient, a transformer residual value conversion coefficient, transformer fault mean repair time, a transformer fault rate, a power generation ratio of an area where the transformer is located and power selling profits of the area where the transformer is located.
3. The method for controlling the utilization rate of the transformer equipment of the power distribution network based on the life cycle cost of claim 1, wherein the typical day in the step (1) is a day arbitrarily selected from a season.
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Citations (4)
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|---|---|---|---|---|
| CN105426979A (en) * | 2014-09-12 | 2016-03-23 | 国家电网公司 | Optimizing method for operation cost of transformer |
| CN107145707A (en) * | 2017-04-01 | 2017-09-08 | 三峡大学 | It is a kind of to count and photovoltaic is exerted oneself the power distribution network transformer planing method of uncertain and overall life cycle cost |
| CN107918817A (en) * | 2016-10-11 | 2018-04-17 | 华北电力大学 | A kind of Distribution Network Equipment utilization rate comprehensive assessment index system counted and distributed generation resource accesses |
| CN108764519A (en) * | 2018-04-11 | 2018-11-06 | 华南理工大学 | A kind of garden energy internet energy device capacity configuration optimizing method |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN105426979A (en) * | 2014-09-12 | 2016-03-23 | 国家电网公司 | Optimizing method for operation cost of transformer |
| CN107918817A (en) * | 2016-10-11 | 2018-04-17 | 华北电力大学 | A kind of Distribution Network Equipment utilization rate comprehensive assessment index system counted and distributed generation resource accesses |
| CN107145707A (en) * | 2017-04-01 | 2017-09-08 | 三峡大学 | It is a kind of to count and photovoltaic is exerted oneself the power distribution network transformer planing method of uncertain and overall life cycle cost |
| CN108764519A (en) * | 2018-04-11 | 2018-11-06 | 华南理工大学 | A kind of garden energy internet energy device capacity configuration optimizing method |
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