CN105703371A - Economic operation control method for distribution transformer - Google Patents

Economic operation control method for distribution transformer Download PDF

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CN105703371A
CN105703371A CN201610153387.3A CN201610153387A CN105703371A CN 105703371 A CN105703371 A CN 105703371A CN 201610153387 A CN201610153387 A CN 201610153387A CN 105703371 A CN105703371 A CN 105703371A
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distribution transformer
switching
loss
power
distribution
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CN105703371B (en
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卞建鹏
杨苏
杨静
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Shijiazhuang Tiedao University
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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/12Circuit arrangements for AC mains or AC distribution networks for adjusting voltage in AC networks by changing a characteristic of the network load
    • H02J3/14Circuit arrangements for AC mains or AC distribution networks for adjusting voltage in AC networks by changing a characteristic of the network load by switching loads on to, or off from, network, e.g. progressively balanced loading
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2310/00The network for supplying or distributing electric power characterised by its spatial reach or by the load
    • H02J2310/50The network for supplying or distributing electric power characterised by its spatial reach or by the load for selectively controlling the operation of the loads
    • H02J2310/56The network for supplying or distributing electric power characterised by its spatial reach or by the load for selectively controlling the operation of the loads characterised by the condition upon which the selective controlling is based
    • H02J2310/62The condition being non-electrical, e.g. temperature
    • H02J2310/64The condition being economic, e.g. tariff based load management
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for AC mains or AC distribution networks
    • H02J3/003Load forecast, e.g. methods or systems for forecasting future load demand
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02BCLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B70/00Technologies for an efficient end-user side electric power management and consumption
    • Y02B70/30Systems integrating technologies related to power network operation and communication or information technologies for improving the carbon footprint of the management of residential or tertiary loads, i.e. smart grids as climate change mitigation technology in the buildings sector, including also the last stages of power distribution and the control, monitoring or operating management systems at local level
    • Y02B70/3225Demand response systems, e.g. load shedding, peak shaving
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y04INFORMATION OR COMMUNICATION TECHNOLOGIES HAVING AN IMPACT ON OTHER TECHNOLOGY AREAS
    • Y04SSYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
    • Y04S20/00Management or operation of end-user stationary applications or the last stages of power distribution; Controlling, monitoring or operating thereof
    • Y04S20/20End-user application control systems
    • Y04S20/222Demand response systems, e.g. load shedding, peak shaving

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

本发明公开了一种配电变压器的经济运行控制方法,包括以下步骤:获取某区域在投切周期内每一时间段的预测负荷数据;对预测负荷数据进行拟合,获得拟合余弦函数曲线;获取某区域参与投切的多个配电变压器独立运行和组合运行时的综合功率损耗;根据所述综合功率损耗与负荷的关系,获得临界负荷点;根据临界负荷点和拟合余弦函数曲线,获得所有投切点;计算所有投切点的投切成本和电价;根据投切成本和电价,利用概率直方图获取所有投切点的节电利润;根据所有投切点的节电利润,以及参与投切的多个配电变压器的投切次数,获得最佳的投切策略,这种配电变压器的经济运行控制方法,可以减少电能损耗;能够增加变压器的工作寿命,节约能源。

The invention discloses a method for controlling the economical operation of a distribution transformer, comprising the following steps: obtaining forecasted load data in each time period of a switching cycle in a certain area; fitting the forecasted load data to obtain a fitted cosine function curve ; Obtain the comprehensive power loss of multiple distribution transformers participating in switching in a certain area during independent operation and combined operation; according to the relationship between the comprehensive power loss and the load, obtain the critical load point; according to the critical load point and the fitting cosine function curve , to obtain all switching points; calculate the switching cost and electricity price of all switching points; according to the switching cost and electricity price, use the probability histogram to obtain the power saving profit of all switching points; according to the power saving of all switching points Profit, as well as the switching times of multiple distribution transformers involved in switching, obtain the best switching strategy. This economical operation control method of distribution transformers can reduce power loss; it can increase the working life of transformers and save energy. .

Description

一种配电变压器的经济运行控制方法A control method for economical operation of distribution transformers

技术领域technical field

本发明涉及变压器投切技术领域,更具体的涉及一种配电变压器的经济运行控制方法。The invention relates to the technical field of transformer switching, in particular to a control method for economical operation of distribution transformers.

背景技术Background technique

近年来工农业生产不断发展、人民生活水平不断提高,社会对电能的需求也迅速增加。尽管电力行业发展很快,仍不能满足人们日常生产与生活的需要,在我国一些地区仍存在严重缺电的情况。同时电能深刻影响着国民经济的发展。在大力发展经济的同时,我们需要千方百计地减少电能损耗,提高电能的利用率。配电系统变压器是电力系统中的非常重要的电力器件,主要功能是转换与分配电能。它的总数量和总的装机容量都很大,从发电厂提供电能输电线路传输电能到用户消费电的过程中,变压器产生的损耗大概占整个电网损耗的百分之三十,大约占总发电量的百分之十。同时由于变压器在转换电压和电能传递的时,会引起有功、无功功率损耗,所以变压器也是功率损耗比较大的电气设备。对于全国来说,变压器一年引起的电能损耗是相当大的。In recent years, with the continuous development of industrial and agricultural production and the continuous improvement of people's living standards, the society's demand for electric energy has also increased rapidly. Despite the rapid development of the power industry, it still cannot meet the needs of people's daily production and life, and there are still severe power shortages in some areas of our country. At the same time, electric energy has a profound impact on the development of the national economy. While vigorously developing the economy, we need to do everything possible to reduce power consumption and improve the utilization rate of power. Distribution system transformer is a very important power device in the power system, and its main function is to convert and distribute electric energy. Its total quantity and total installed capacity are very large. During the process from the power plant providing power transmission line to the user's consumption of power, the loss generated by the transformer accounts for about 30% of the entire power grid loss, accounting for about 30% of the total power grid loss. ten percent of the electricity produced. At the same time, since the transformer will cause active and reactive power loss when converting voltage and electric energy transmission, the transformer is also an electrical device with relatively large power loss. For the whole country, the annual power loss caused by the transformer is quite large.

变压器的经济运行就是去挖掘变压器电能损耗中那部分被白白浪费掉的电能潜力,是减少电力系统线损、实行电力系统的经济运行的重要方案。The economical operation of the transformer is to tap the wasted power potential in the power loss of the transformer. It is an important plan to reduce the line loss of the power system and implement the economical operation of the power system.

变压器的经济运行首先是要满足人们用电的需要,同时电力系统也能够安全可靠地运行的基础上,选出变压器损耗最小的工作方式。通过合理调整变压器的负载、对变电站进行改造等方式,尽最大可能减小变压器电损。而其中选出变压器电能损耗最小的工作状况是其中的主要内容。根据变压器工作方式的优选计算一套最佳投切方案对于电网节能意义重大。The economical operation of the transformer is firstly to meet people's needs for electricity consumption, and at the same time, on the basis of the safe and reliable operation of the power system, select the working mode with the least loss of the transformer. By rationally adjusting the load of the transformer and transforming the substation, etc., the power loss of the transformer can be reduced as much as possible. Among them, selecting the working condition with the smallest power loss of the transformer is the main content. Calculating a set of optimal switching schemes based on the optimal working mode of transformers is of great significance for power grid energy saving.

变压器经济运行区间的得到一种比较经典的方法,这种方法就是临界点法,通常用这种办法来确定变压器的经济运行。这种方法划分经济运行区间的办法确实可靠,但这种办法没有对负荷曲线作处理,也就是说变电站的开关举措次数会很多,而在实际工作中,变压器的投切次数也是有限度的。在实际操作中,还要考虑因为改变变压器运行方式引起的投切成本。因而,变电站的变压器组进入经济运行区间工作并不能保障是节省电能的,这甚至会因为成本过高而引发相反的效果,导致最终的亏损。There is a more classic method to obtain the economical operation range of transformers. This method is the critical point method, which is usually used to determine the economical operation of transformers. This method of dividing the economic operation interval is indeed reliable, but this method does not deal with the load curve, that is to say, the switching times of the substation will be many, and in actual work, the switching times of the transformer are also limited. In actual operation, the switching cost caused by changing the operation mode of the transformer should also be considered. Therefore, the operation of the transformer group in the substation in the economical operating range cannot guarantee the saving of electric energy, which may even lead to the opposite effect due to the high cost, resulting in a final loss.

发明内容Contents of the invention

本发明实施例提供一种配电变压器的经济运行控制方法,减少电能损耗,增加变压器的工作寿命,节约成本。The embodiment of the present invention provides an economical operation control method of a power distribution transformer, which reduces power loss, increases the working life of the transformer, and saves costs.

本发明实施例提供一种配电变压器的经济运行控制方法,包括以下步骤:An embodiment of the present invention provides a method for controlling economical operation of a distribution transformer, including the following steps:

(1)获取某区域在投切周期内每一时间段的预测负荷数据;(1) Obtain the forecasted load data of a certain area in each time period in the switching cycle;

(2)使用非线性最小二乘法对所述预测负荷数据进行拟合,获得拟合余弦函数曲线;(2) Fitting the predicted load data using the nonlinear least squares method to obtain a fitted cosine function curve;

(3)获取某区域参与投切的多个配电变压器独立运行和组合运行时的综合功率损耗;(3) Obtain the comprehensive power loss of multiple distribution transformers participating in switching in a certain area during independent operation and combined operation;

(4)根据多个配电变压器独立运行和组合运行时的综合功率损耗与负荷的关系,获得临界负荷点;(4) Obtain the critical load point according to the relationship between the comprehensive power loss and the load when multiple distribution transformers operate independently and in combination;

(5)根据临界负荷点和拟合余弦函数曲线,获得所有投切点;(5) According to the critical load point and the fitted cosine function curve, all switching points are obtained;

(6)获取所有投切点的投切成本和电价;(6) Obtain the switching cost and electricity price of all switching points;

(7)根据所有投切点的投切成本和电价,利用概率直方图获取所有投切点的节电利润;(7) According to the switching cost and electricity price of all switching points, use the probability histogram to obtain the electricity saving profit of all switching points;

(8)根据所有投切点的节电利润,以及参与投切的多个配电变压器的投切次数,获得最佳的投切策略。(8) According to the power-saving profits of all switching points and the switching times of multiple distribution transformers involved in switching, the optimal switching strategy is obtained.

进一步地,上述步骤(3)中参与投切的多个配电变压器为两台双绕组配电变压器,分别为第一配电变压器和第二配电变压器,所述步骤(3)中参与投切的多个变压器独立运行和组合运行时的综合功率损耗为:第一配电变压器独立运行时的综合功率损耗、第二配电变压器独立运行时的综合功率损耗和第一配电变压器与第二配电变压器并列运行时的综合功率损耗。Further, the plurality of distribution transformers participating in switching in the above step (3) are two double-winding distribution transformers, which are respectively the first distribution transformer and the second distribution transformer, and participating in the switching in the step (3) The comprehensive power loss of multiple transformers cut independently and in combination is: the comprehensive power loss of the first distribution transformer when it operates independently, the comprehensive power loss of the second distribution transformer when it operates independently, and the first distribution transformer and the second distribution transformer. The comprehensive power loss when the two distribution transformers operate in parallel.

进一步地,上述步骤(4)中,获得临界负荷点包括以下步骤:Further, in the above-mentioned step (4), obtaining the critical load point includes the following steps:

A、获取参与投切的第一配电变压器和第二配电变压器的额定容量SN、空载电流I0、空载损耗P0、短路电压Uk和短路损耗PkA. Obtain the rated capacity S N , no-load current I 0 , no-load loss P 0 , short-circuit voltage U k and short-circuit loss P k of the first distribution transformer and the second distribution transformer involved in switching;

所述额定容量SN的计算公式为其中UN为额定电压;IN为额定电流;The formula for calculating the rated capacity SN is Among them, U N is the rated voltage; I N is the rated current;

所述空载电流I0的计算公式为其中I0%为空载电流所占的百分比,I1N为第一配电变压器或第二配电变压器一次测的额定电流值;The calculation formula of the no-load current I 0 is Among them, I 0 % is the percentage of no-load current, and I 1N is the rated current value of the first distribution transformer or the second distribution transformer;

所述空载损耗P0是在额定电压下,配电变压器铁芯内无任何负载时的电流使得磁通发生周期性改变时所产生的损耗,计算公式为P0=Ph+Pb+Ps,其中Ph为磁滞损耗,Pb为涡流损耗,Ph和Pb两者之和由空载实验计算出,也称为基本铁损;Ps为附加损耗,取基本铁损的17%即可;The no-load loss P 0 is the loss generated when the magnetic flux changes periodically due to the current when there is no load in the iron core of the distribution transformer at the rated voltage, and the calculation formula is P 0 =P h +P b + P s , where Ph is the hysteresis loss, P b is the eddy current loss, the sum of Ph and P b is calculated by the no-load experiment, and is also called the basic iron loss; Ps is the additional loss, which is taken as the basic iron loss 17% is enough;

所述短路电压Uk的计算公式为其中,U1N为第一配电变压器或第二配电变压器一次测的额定电压值;The calculation formula of the short-circuit voltage Uk is Among them, U 1N is the rated voltage value of the first distribution transformer or the second distribution transformer;

所述短路损耗Pk的计算公式为Pk=Pr+Ps=I1N 2r1+I2N 2r2+Ps,其中Pr为基本短路损耗,Ps为附加损耗,I1N为第一配电变压器或第二配电变压器一次测的额定电流值,r1为第一配电变压器或第二配电变压器一次测的额定电阻值,I2N为第一配电变压器或第二配电变压器二次测的额定电流值,r2为第一配电变压器或第二配电变压器二次测的额定电阻值;The calculation formula of the short-circuit loss P k is P k =P r +P s =I 1N 2 r 1 +I 2N 2 r 2 +P s , where Pr is the basic short-circuit loss, Ps is the additional loss, and I 1N is the second The rated current value of the first distribution transformer or the second distribution transformer, r 1 is the rated resistance value of the first distribution transformer or the second distribution transformer, I 2N is the first distribution transformer or the second distribution transformer The rated current value of the secondary measurement of the electric transformer, r2 is the rated resistance value of the secondary measurement of the first distribution transformer or the second distribution transformer;

B、根据公式(1)~公式(2)计算参与投切的第一配电变压器和第二配电变压器的漏磁无功功率Q0;漏磁无功功率Q0的计算公式为:B. Calculate the magnetic flux leakage reactive power Q 0 of the first distribution transformer and the second distribution transformer participating in switching according to formula (1) ~ formula (2); the calculation formula of magnetic flux leakage reactive power Q 0 is:

QQ 00 == SS 00 22 -- PP 00 22 -- -- -- (( 11 )) ;;

其中S0的计算公式为 The calculation formula of S 0 is

根据公式(3)~公式(4)计算参与投切的第一配电变压器和第二配电变压器的励磁无功功率Qk;励磁无功功率Qk的计算公式为Calculate the excitation reactive power Q k of the first distribution transformer and the second distribution transformer involved in switching according to formula (3) ~ formula (4); the calculation formula of excitation reactive power Q k is

QQ kk == SS kk 22 -- PP kk 22 -- -- -- (( 33 )) ;;

其中Sk的计算公式为 The calculation formula of S k is

C、根据公式(5)计算参与投切的第一配电变压器独立运行时的功率损耗ΔPZ1,第二配电变压器独立运行时的功率损耗ΔPZ2C. According to formula (5), calculate the power loss ΔP Z1 of the first distribution transformer participating in switching when it operates independently, and the power loss ΔP Z2 of the second distribution transformer when it operates independently;

ΔPΔP ZZ == PP 00 ZZ ++ (( SS SS NN )) 22 PP KK ZZ -- -- -- (( 55 ))

公式(5)中,S为第一配电变压器独立运行时的实际负载或者第二配电变压器独立运行时的实际负载;SN为第一配电变压器额定容量或者第二配电变压器的额定容量;In formula (5), S is the actual load when the first distribution transformer operates independently or the actual load when the second distribution transformer operates independently; S N is the rated capacity of the first distribution transformer or the rated capacity of the second distribution transformer capacity;

公式(5)中,Poz为第一配电变压器独立运行时的空载综合功率损耗或者第二配电变压器独立运行时的空载综合功率损耗;根据公式(6)进行计算,In formula (5), P oz is the no-load comprehensive power loss when the first distribution transformer operates independently or the no-load comprehensive power loss when the second distribution transformer operates independently; according to formula (6), it is calculated,

P0Z=p0+KQQ0+KPP0(6)P 0Z =p 0 +K Q Q 0 +K P P 0 (6)

公式(6)中,P0与Q0分别为配电变压器本身的空载损耗和漏磁无功功率;KQ为无功功率经济当量,计算公式为ΔPQ为配电变压器中无功损耗增长所引起的电力网中有功功率损耗的增加值;ΔΔQ为配电变压器无功功率损耗的增长值;Kp为有功功率经济当量,计算公式为ΔPP为变压器之中有功损耗的增加所导致的电力网有功损耗的增加量;ΔΔP为变压器的有功功率损耗的增长值;In formula (6), P 0 and Q 0 are the no-load loss and flux leakage reactive power of the distribution transformer, respectively; K Q is the economic equivalent of reactive power, and the calculation formula is ΔP Q is the increased value of active power loss in the power grid caused by the increase of reactive power loss in distribution transformers; ΔΔQ is the increased value of reactive power loss in distribution transformers; K p is the economic equivalent of active power, and the calculation formula is ΔP P is the increase in the active power loss of the power grid caused by the increase in the active power loss in the transformer; ΔΔP is the increase in the active power loss of the transformer;

公式(5)中,Pkz为第一配电变压器独立运行时的负载综合功率损耗或者第二配电变压器独立运行时的负载综合功率损耗;根据公式(7)进行计算;In formula (5), P kz is the load integrated power loss when the first distribution transformer operates independently or the load integrated power loss when the second distribution transformer operates independently; it is calculated according to formula (7);

PkZ=Pk+KQQk+KPPk(7)P kZ =P k +K Q Q k +K P P k (7)

公式(7)中Pk为参与投切的配电变压器的短路损耗,Qk为配电变压器短路时的无功功率损耗即励磁损耗,计算公式为其中Sk的计算公式为 In formula (7), P k is the short-circuit loss of the distribution transformer involved in switching, and Q k is the reactive power loss when the distribution transformer is short-circuited, that is, the excitation loss. The calculation formula is The calculation formula of S k is

根据公式(8)计算第一配电变压器和第二配电变压器并列运行时的综合功率损耗ΔPZ12Calculate the comprehensive power loss ΔP Z12 when the first distribution transformer and the second distribution transformer operate in parallel according to formula (8);

ΔPZ12=ΔPZ1+ΔPZ2(8);ΔP Z12 = ΔP Z1 + ΔP Z2 (8);

D、在同一负荷与损耗的坐标系中绘制参与投切的第一配电变压器独立运行时的综合功率损耗曲线、第二配电变压器独立运行时的综合功率损耗曲线以及第一配电变压器和第二配电变压器并列运行时的综合功率损耗曲线;D. In the same load and loss coordinate system, draw the comprehensive power loss curve of the first distribution transformer participating in switching when it operates independently, the comprehensive power loss curve of the second distribution transformer when it operates independently, and the first distribution transformer and The comprehensive power loss curve when the second distribution transformer operates in parallel;

E计算临界负荷点;E calculates the critical load point;

当第一配电变压器独立运行时的功率损耗ΔPZ1和第二配电变压器独立运行时的功率损耗ΔPZ2相等时,求得第一临界负荷点S1~2When the power loss ΔP Z1 of the first distribution transformer in independent operation and the power loss Δ PZ2 of the second distribution transformer in independent operation are equal, the first critical load point S 1-2 is obtained;

当第一配电变压器独立运行时的功率损耗ΔPZ1和第一配电变压器和第二配电变压器并列运行时的综合功率损耗ΔPZ12相等时,求得第二临界负荷点S1~12When the power loss ΔP Z1 of the first distribution transformer operating independently and the comprehensive power loss ΔP Z12 of the parallel operation of the first distribution transformer and the second distribution transformer are equal, the second critical load point S 1-12 is obtained;

当第二配电变压器独立运行时的功率损耗ΔPZ2和第一配电变压器和第二配电变压器并列运行时的综合功率损耗ΔPZ12相等时,求得第三临界负荷点S2~12When the power loss ΔP Z2 of the second distribution transformer operating independently is equal to the comprehensive power loss ΔP Z12 of the first distribution transformer and the second distribution transformer operating in parallel, the third critical load point S 2 ~ 12 is obtained.

进一步地,步骤(6)中所述的所有投切点的投切成本,利用三角形概率分布求取,所述的电价也利用三角形概率分布求取。Further, the switching costs of all switching points mentioned in step (6) are obtained by using a triangular probability distribution, and the electricity price is also obtained by using a triangular probability distribution.

本发明与现有技术相比的有益效果在于:The beneficial effect of the present invention compared with prior art is:

变压器根据投切次数在较大节电利润的投切点投切,可以减少电能损耗;增加变压器的工作寿命,节约能源,在现今能源紧缺的情况下,节能对实现国民经济的持续发展有很重要的意义。The transformer is switched at the switching point with a large power-saving profit according to the number of switching times, which can reduce power loss; increase the working life of the transformer and save energy. In today's energy shortage situation, energy saving is very important for the sustainable development of the national economy. Significance.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. Those skilled in the art can also obtain other drawings based on these drawings without creative work.

图1为本发明的流程框图。Fig. 1 is a flowchart of the present invention.

图2为本发明实施例变电站原始负荷60天数据及拟合余弦函数曲线。Fig. 2 is the 60-day data of the original load of the substation and the fitting cosine function curve according to the embodiment of the present invention.

图3为本发明实施例两个配电变压器三种状况损耗图。Fig. 3 is a loss diagram of two distribution transformers under three conditions according to the embodiment of the present invention.

图4为本发明实施例拟合余弦函数曲线与临界点直线相交图。Fig. 4 is an intersection diagram of a fitted cosine function curve and a critical point straight line according to an embodiment of the present invention.

图5(a)为本发明实施例中第11天投切的节电利润概率直方图。Fig. 5(a) is a histogram of electricity-saving profit probability for switching on the 11th day in the embodiment of the present invention.

图5(b)为本发明实施例中第28天投切的节电利润概率直方图。Fig. 5(b) is a histogram of electricity-saving profit probability for switching on the 28th day in the embodiment of the present invention.

图5(c)为本发明实施例中第45天投切的节电利润概率直方图。Fig. 5(c) is a histogram of electricity-saving profit probability for switching on the 45th day in the embodiment of the present invention.

具体实施方式detailed description

下面将结合图1和本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例,基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with FIG. 1 and the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of them. For example, based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts fall within the protection scope of the present invention.

如图1所示,S1:获取某区域在投切周期内每一时间段的预测负荷数据。As shown in Figure 1, S1: Obtain the forecasted load data of a certain area in each time period of the switching cycle.

某区域是任何一个至少需要两个配电变压器控制的区域,可以是某一小区或某一变电站。A certain area is any area that requires at least two distribution transformers to control, and it can be a certain community or a certain substation.

投切周期为未来的一段时间,可以是30天、60天或一年。每一时间段为每隔一段时间,一段时间可以为每一天、每12小时或每6小时等。The switching period is a period of time in the future, which can be 30 days, 60 days or one year. Each period of time is every other period of time, and the period of time may be every day, every 12 hours, or every 6 hours.

S2:使用非线性最小二乘法对所述预测负荷数据进行拟合,获得拟合余弦函数曲线。S2: Fitting the predicted load data using a nonlinear least square method to obtain a fitted cosine function curve.

S3:获取某区域参与投切的多个配电变压器独立运行和组合运行时的综合功率损耗。S3: Obtain the comprehensive power loss of multiple distribution transformers participating in switching in a certain area when they are operating independently or in combination.

配电变压器可以是两个或三个甚至更多。Distribution transformers can be two or three or even more.

S4:根据多个配电变压器独立运行和组合运行时的综合功率损耗与负荷的关系,获得临界负荷点。S4: Obtain the critical load point according to the relationship between the comprehensive power loss and the load when multiple distribution transformers operate independently or in combination.

根据多种情况下综合功率损耗和负荷的曲线的交点或者综合功率损耗和负荷的数学公式关系,获得临界负荷点。The critical load point is obtained according to the intersection of the curves of integrated power loss and load or the mathematical formula relationship between integrated power loss and load in various situations.

S5:根据临界负荷点和拟合余弦函数曲线,获得所有投切点。S5: According to the critical load point and the fitted cosine function curve, all switching points are obtained.

临界负荷点直线与拟合余弦函数曲线的交点为所有的投切点。The intersection points of the critical load point straight line and the fitted cosine function curve are all switching points.

S6:计算所有投切点的投切成本和电价。S6: Calculate the switching cost and electricity price of all switching points.

可以根据三角形概率分布计算所有投切点的投切成本和电价。The switching cost and electricity price of all switching points can be calculated according to the triangular probability distribution.

S7:根据所述投切成本和电价,利用概率直方图获取所有投切点的节电利润。S7: According to the switching cost and electricity price, use the probability histogram to obtain the electricity saving profits of all switching points.

S8:根据所有投切点的节电利润,以及参与投切的多个配电变压器的投切次数,获得最佳的投切策略。S8: According to the power-saving profits of all switching points and the switching times of multiple distribution transformers involved in switching, the optimal switching strategy is obtained.

下面的实施例中设定某区域为某变电站,投切周期为60天,每一时间段为每一天。In the following embodiment, a certain area is set as a certain substation, the switching cycle is 60 days, and each time period is every day.

(1)变电站的两台双绕组配电变压器的相关技术数据如表1所示。(1) The relevant technical data of the two double-winding distribution transformers in the substation are shown in Table 1.

表1双绕组配电变压器额定参数Table 1 Rated parameters of double winding distribution transformer

(2)已知变电站60天内的通过负荷预测所得的负荷数据如表2所示。(2) The load data of known substations within 60 days through load forecasting are shown in Table 2.

表2变电站预测负荷数据Table 2 Substation forecast load data

其中每天的负荷数据是24小时整点负荷值的平均值。The daily load data is the average value of the 24-hour hourly load value.

在这里设定60天内允许投切次数为1次,要求计算出60天内的最优投切策略。Here, it is set that the number of switching allowed within 60 days is 1, and it is required to calculate the optimal switching strategy within 60 days.

(3)拟合负荷数据(3) Fitting load data

使用非线性最小二乘法将预测负荷数据拟合为时间t(天)的余弦函数,将表2中的变电站负荷预测数据进行拟合,拟合结果如公式(9)所示。The predicted load data is fitted to the cosine function of time t (day) using the nonlinear least squares method, and the substation load forecast data in Table 2 are fitted. The fitting results are shown in formula (9).

g(t)=4553.2cos(2×π×1.7696×t/60-6.8146)+11209(9)g(t)=4553.2cos(2×π×1.7696×t/60-6.8146)+11209(9)

(4)用Matlab绘制原始预测负荷数据曲线与拟合余弦函数曲线如图2所示。(4) Use Matlab to draw the original predicted load data curve and the fitted cosine function curve as shown in Figure 2.

(5)获得临界负荷点(5) Obtain the critical load point

①根据I0%和Uk%按照公式(10)~(17)分别计算第一配电变压器和第二配电变压器的漏磁无功功率Q0和励磁无功功率Qk① Calculate the magnetic leakage reactive power Q 0 and excitation reactive power Q k of the first distribution transformer and the second distribution transformer respectively according to I 0 % and U k % according to formulas (10) to (17).

SS 0101 == 33 II 0101 Uu 11 NN == II 1010 %S%S NN 11 ×× 1010 -- 22 -- -- -- (( 1010 ))

QQ 0101 == SS 0101 22 -- PP 0101 22 -- -- -- (( 1111 ))

SS kk 11 == 33 II 11 NN Uu kk 11 == Uu kk 11 %S%S NN 22 ×× 1010 -- 22 -- -- -- (( 1212 ))

QQ kk 11 == SS kk 11 22 -- PP kk 11 22 -- -- -- (( 1313 ))

SS 0202 == 33 II 0202 Uu 22 NN == II 0202 %S%S NN 22 ×× 1010 -- 22 -- -- -- (( 1414 ))

QQ 0202 == SS 0202 22 -- PP 0202 22 -- -- -- (( 1515 ))

SS kk 22 == 33 II 22 NN Uu kk == Uu kk 22 %S%S NN 22 ×× 1010 -- 22 -- -- -- (( 1616 ))

QQ kk 22 == SS kk 11 22 -- PP kk 11 22 -- -- -- (( 1717 ))

②计算第一配电变压器独立运行时的综合功率损耗ΔPZ1,第二配电变压器独立运行时的综合功率损耗ΔPZ2,以及第一配电变压器与第二配电变压器并列运行时的综合功率损耗ΔPZ12,如公式(18)~(20)计算。② Calculate the comprehensive power loss ΔP Z1 when the first distribution transformer operates independently, the comprehensive power loss ΔP Z2 when the second distribution transformer operates independently, and the comprehensive power when the first distribution transformer and the second distribution transformer operate in parallel Loss ΔP Z12 , as calculated by formulas (18) to (20).

ΔPΔP ZZ II == PP 00 ZZ 11 ++ (( SS SS NN 11 )) 22 PP KK ZZ 11 -- -- -- (( 1818 ))

ΔPΔP ZZ 22 == PP 00 ZZ 22 ++ (( SS SS NN 22 )) 22 PP KK ZZ 22 -- -- -- (( 1919 ))

ΔPΔP ZZ 1212 == ΔPΔP ZZ 11 ++ ΔPΔP ZZ 22 ++ (( SS SS NN 11 ++ SS NN 22 )) 22 (( PP KK ZZ 11 ++ PP KK ZZ 22 )) -- -- -- (( 2020 ))

其中,S(kVA)是当前的实际负荷,P0z和Pkz如公式(21)、(22)计算。Among them, S(kVA) is the current actual load, and P 0z and P kz are calculated according to formulas (21) and (22).

P0Z=P0+KQQ0(21)P 0Z =P 0 +K Q Q 0 (21)

PKZ=PK+KQQK(22)P K Z =P K +K Q Q K (22)

③在同一坐标系中,绘制配电变压器三种不同运行情况的负荷损耗曲线,如图3所示。③ In the same coordinate system, draw the load loss curves of the distribution transformer under three different operating conditions, as shown in Figure 3.

④计算临界负荷点。④ Calculate the critical load point.

令式(18)、(19)相等,得临界负荷点如式(23)所示。Making equations (18) and (19) equal, the critical load point is shown in equation (23).

SS 11 ~~ 22 == SS NN 11 SS NN 22 PP 00 ZZ 22 -- PP 00 ZZ 11 SS NN 22 22 PP KK ZZ 11 -- SS NN 11 22 PP KK ZZ 22 -- -- -- (( 23twenty three ))

令式(18)与(20)相等,得临界负荷点如式(24)所示。Make equation (18) and (20) equal, and the critical load point is shown in equation (24).

SS 11 ~~ 1212 == SS NN 11 (( SS NN 11 ++ SS NN 22 )) PP 00 ZZ 22 (( 22 SS NN 11 SS NN 22 ++ SS NN 22 22 )) PP KK ZZ 11 -- SS NN 11 22 PP KK ZZ 22 -- -- -- (( 24twenty four ))

令式(19)与(20)相等,得临界负荷点如式(25)所示。Make equation (19) and (20) equal, and the critical load point is shown in equation (25).

SS 22 ~~ 1212 == SS NN 22 (( SS NN 11 ++ SS NN 22 )) PP 00 ZZ 11 (( 22 SS NN 11 SS NN 22 ++ SS NN 11 22 )) PP KK ZZ 22 -- SS NN 22 22 PP KK ZZ 11 -- -- -- (( 2525 ))

如图3所示,用Matlab编程得临界负荷点为S1~2=3820.1;S1~12=11377;S2~12=6123.8;As shown in Figure 3, the critical load point programmed with Matlab is S 1~2 = 3820.1; S 1~12 = 11377; S 2~12 = 6123.8;

最小临界负荷点为S1~2=3820.1,最大临界负荷点为S1~12=11377,经济工作区间划分如下:The minimum critical load point is S 1~2 = 3820.1, the maximum critical load point is S 1~12 = 11377, and the economic working range is divided as follows:

经济工作区间1:负载S<3820.1时,第二配电变压器独立工作相对节电;Economic working range 1: When the load S<3820.1, the second distribution transformer works independently and relatively saves electricity;

经济工作区间2:负载3820.1<S<11377时,第一配电变压器独立工作相对节电;Economic working range 2: When the load is 3820.1<S<11377, the first distribution transformer works independently and relatively saves electricity;

经济工作区间3:负载11377<S时,第一配电变压器和第二配电变压器并列工作相对节电。Economic working range 3: When the load is 11377<S, the parallel operation of the first distribution transformer and the second distribution transformer is relatively power-saving.

(6)获得所有投切点(6) Obtain all switching points

用临界负荷点直线S1~2=3820.1;S2~12=6123.8和S1~12=11377分别与拟合的负荷曲线g(t)相交,计算所有的投切点,如图4所示。Use the critical load point straight line S 1~2 =3820.1; S 2~12 =6123.8 and S 1~12 =11377 to intersect with the fitted load curve g(t) respectively, and calculate all switching points, as shown in Figure 4 .

从图4中可以得出所有投切点为t1=11,t2=28和t3=45(天)From Fig. 4, it can be drawn that all switching points are t1=11, t2=28 and t3=45 (days)

t1=11天时,第二配电变压器退出工作,改为第一配电变压器独立工作;When t1 = 11 days, the second distribution transformer quits work and changes to the first distribution transformer to work independently;

t2=28天时,第二配电变压器退出工作,改为第一配电变压器和第二配电变压器并列工作;When t2=28 days, the second distribution transformer quits work, and the first distribution transformer and the second distribution transformer work in parallel;

t3=45天时,第二配电变压器退出工作,改为第一配电变压器独立工作。When t3 = 45 days, the second distribution transformer quits work and changes to the first distribution transformer to work independently.

(7)求取最佳投切策略(7) Find the best switching strategy

最佳的投切策略与投切点的个数、投切次数以及投切点的节电利润有关,投切次数须小于投切点的个数,根据投切次数选取节电利润大的投切点进行投切为最佳的投切策略。The optimal switching strategy is related to the number of switching points, switching times, and the power-saving profit of switching points. Switching at the cut point is the best switching strategy.

将投切成本与电价概率化计算,计算t1=11(天),t2=28(天),t3=45(天)的投切效益,二者之差为节电利润。Probabilistically calculate the switching cost and electricity price, and calculate the switching benefits of t1=11 (days), t2=28 (days), and t3=45 (days), and the difference between the two is the electricity saving profit.

t1=11(天)、t2=28(天)、t3=45(天)的节电利润概率直方图如图5(a)、图5(b)和图5(c)所示。The histograms of power-saving profit probability for t1=11 (day), t2=28 (day), and t3=45 (day) are shown in Figure 5(a), Figure 5(b) and Figure 5(c).

概率最大值时的最大节电利润分别为G11=-1000(元);G28=2500(元);G45=-1000(元)。The maximum power-saving profit at the maximum probability is G11=-1000 (yuan); G28=2500 (yuan); G45=-1000 (yuan).

若在60天内只允许1次投切,则在获得最大节电利润G28=2500(元)时投切,最优投切策略为(假设未经投切时,变电站第一配电变压器独立工作),在t2=28天时,由第一配电变压器工作,改为第一配电变压器和第二配电变压器并列工作。If only one switch is allowed within 60 days, switch when the maximum power-saving profit G28 = 2500 (yuan), the optimal switch strategy is (assuming that the first distribution transformer of the substation works independently ), and at t2=28 days, the first distribution transformer works instead of the first distribution transformer and the second distribution transformer working in parallel.

投切周期可以为未来的30天、60天或一年,就节电利润的大小来说,投切周期越大相当于为节电利润的取得提供了更多的时间。最优投切策略有两种情况:一种情况是在投切周期内,规定了投切次数的限制,求取最佳投切方案;另一种情况是投切周期内,没有规定投切次数限度,求取最佳投切方案,这种“没有规定的投切次数”必须在可能的投切点总数以内。The switching cycle can be 30 days, 60 days or one year in the future. In terms of the size of the electricity saving profit, the larger the switching cycle is equivalent to providing more time for obtaining the electricity saving profit. There are two cases of the optimal switching strategy: one is that within the switching period, the limit of switching times is stipulated, and the best switching plan is obtained; the other is that within the switching period, there is no regulation on switching The number of times is limited to find the best switching plan. This "unspecified switching times" must be within the total number of possible switching points.

变压器在最佳的投切时间投切,可以减少电能损耗;工作在经济运行区间的变压器的使用寿命可以得到很大程度延长;节约能源,在现今能源紧缺的情况下,节能对实现国民经济的持续发展有很重要的意义。Switching the transformer at the best switching time can reduce power loss; the service life of the transformer working in the economical operating range can be greatly extended; energy saving, in the current energy shortage situation, energy saving is of great importance to the realization of the national economy. Sustained development is of great significance.

尽管已描述了本发明的优选实施例,但本领域内的技术人员一旦得知了基本创造性概念,则可对这些实施例作出另外的变更和修改。所以,所附权利要求意欲解释为包括优选实施例以及落入本发明范围的所有变更和修改。While preferred embodiments of the invention have been described, additional changes and modifications to these embodiments can be made by those skilled in the art once the basic inventive concept is appreciated. Therefore, it is intended that the appended claims be construed to cover the preferred embodiment as well as all changes and modifications which fall within the scope of the invention.

显然,本领域的技术人员可以对本发明进行各种改动和变型而不脱离本发明的精神和范围。这样,倘若本发明的这些修改和变型属于本发明权利要求及其等同技术的范围之内,则本发明也意图包含这些改动和变型在内。Obviously, those skilled in the art can make various changes and modifications to the present invention without departing from the spirit and scope of the present invention. Thus, if these modifications and variations of the present invention fall within the scope of the claims of the present invention and equivalent technologies thereof, the present invention also intends to include these modifications and variations.

Claims (4)

1. the economical operation control method of a distribution transformer, it is characterised in that comprise the following steps:
(1) the prediction load data of each time period that obtains certain region within the switching cycle;
(2) use nonlinear least square method that described prediction load data is fitted, it is thus achieved that matching cosine function curve;
(3) power loss during multiple distribution transformer independent operatings and the combined running of certain region participation switching is obtained;
(4) relation of power loss time according to multiple distribution transformer independent operatings and combined running and load, it is thus achieved that critical load point;
(5) according to critical load point and matching cosine function curve, it is thus achieved that all switching points;
(6) switching cost and the electricity price of all switchings point are calculated;
(7) according to described switching cost and electricity price, probability histogram is utilized to obtain the economize on electricity profit of all switching points;
(8) the economize on electricity profit according to all switching points, and participate in the switching frequency of multiple distribution transformers of switching, it is thus achieved that best Switching Strategy。
2. the economical operation control method of distribution transformer as claimed in claim 1, it is characterized in that, the multiple distribution transformers participating in switching in described step (3) are two double winding distribution transformers, respectively the first distribution transformer and the second distribution transformer, power loss when participating in multiple transformator independent operatings and the combined running of switching in described step (3) is: power loss during the first distribution transformer independent operating, power loss when power loss during the second distribution transformer independent operating and the first distribution transformer and the second distribution transformer paired running。
3. the economical operation control method of distribution transformer as claimed in claim 2, it is characterised in that in described step (4), it is thus achieved that critical load point comprises the following steps:
A, acquisition participate in the first distribution transformer of switching and the rated capacity S of the second distribution transformerN, no-load current I0, open circuit loss P0, short-circuit voltage UkWith short circuit loss Pk
Described rated capacity SNComputing formula beWherein UNFor rated voltage;INFor rated current;
Described no-load current I0Computing formula beWherein I0% is the percentage ratio shared by no-load current, I1NIt is the first distribution transformer or load current value that the second distribution transformer is once surveyed;
Described open circuit loss P0Being under rated voltage, electric current time in distribution transformer iron core without any load makes produced loss when sexually revising of magnetic flux generating period, and computing formula is P0=Ph+Pb+Ps, wherein PhFor magnetic hystersis loss, PbFor eddy-current loss, PhAnd PbBoth are calculated by no load test sum, also referred to as basic iron loss;Ps is added losses, takes the 17% of basic iron loss;
Described short-circuit voltage UkComputing formula beWherein, U1NIt is the first distribution transformer or load voltage value that the second distribution transformer is once surveyed;
Described short circuit loss PkComputing formula be Pk=Pr+Ps=I1N 2r1+I2N 2r2+Ps, wherein Pr is basic short circuit loss, and Ps is added losses, I1NIt is the first distribution transformer or load current value that the second distribution transformer is once surveyed, r1It is the first distribution transformer or rated value of resistance that the second distribution transformer is once surveyed, I2NIt is the first distribution transformer or the load current value of the second distribution transformer secondary survey, r2It is the first distribution transformer or the rated value of resistance of the second distribution transformer secondary survey;
B, calculate the leakage field reactive power Q of the first distribution transformer and the second distribution transformer participating in switching according to formula (1)~formula (2)0;Leakage field reactive power Q0Computing formula be:
Q 0 = S 0 2 - P 0 2 - - - ( 1 ) ;
Wherein S0Computing formula be
The excitation reactive power power Q of the first distribution transformer and the second distribution transformer participating in switching is calculated according to formula (3)~formula (4)k;Excitation reactive power power QkComputing formula be
Q k = S k 2 - P k 2 - - - ( 3 ) ;
Wherein SkComputing formula be
C, according to formula (5) calculate participate in switching the first distribution transformer independent operating time power attenuation Δ PZ1, power attenuation Δ P during the second distribution transformer independent operatingZ2
&Delta;P Z = P 0 Z + ( S S N ) 2 P K Z - - - ( 5 )
In formula (5), S is actual loading when actual loading during the first distribution transformer independent operating or the second distribution transformer independent operating;SNIt it is the rated capacity of the first distribution transformer rated capacity or the second distribution transformer;
In formula (5), PozUnloaded power loss when unloaded power loss when being the first distribution transformer independent operating or the second distribution transformer independent operating;It is calculated according to formula (6),
P0Z=P0+KQQ0+KPP0(6)
In formula (6), P0With Q0The respectively open circuit loss of distribution transformer itself and leakage field reactive power;KQFor reactive distribution, computing formula isΔPQThe value added of active power loss in caused power network is increased for reactive loss in distribution transformer;Δ Δ Q is the increasing value of Reactive Power in Distributing Transformer loss;KpFor active power Economic Equivalent, computing formula isΔPPIncrease amount for the power network active loss that the increase of active loss among transformator causes;Δ Δ P is the increasing value of the active power loss of transformator;
In formula (5), PkzIt it is load power loss when load power loss during the first distribution transformer independent operating or the second distribution transformer independent operating;It is calculated according to formula (7);
PkZ=Pk+KQQk+KPPk(7)
P in formula (7)kFor participating in the short circuit loss of the distribution transformer of switching, QkReactive power loss during for distribution transformer short circuit and excitation loss, computing formula isWherein SkComputing formula be
Power loss Δ P when the first distribution transformer and the second distribution transformer paired running is calculated according to formula (8)Z12
ΔPZ12=Δ PZ1+ΔPZ2(8);
Power loss curve when power loss curve when D, power loss curve when drawing the first distribution transformer independent operating participating in switching in the coordinate system of same load and loss, the second distribution transformer independent operating and the first distribution transformer and the second distribution transformer paired running;
E calculates critical load point;
Power attenuation Δ P when the first distribution transformer independent operatingZ1Power attenuation Δ P during with the second distribution transformer independent operatingZ2Time equal, try to achieve the first critical load point S1~2
Power attenuation Δ P when the first distribution transformer independent operatingZ1Power loss Δ P during with the first distribution transformer and the second distribution transformer paired runningZ12Time equal, try to achieve the second critical load point S1~12
Power attenuation Δ P when the second distribution transformer independent operatingZ2Power loss Δ P during with the first distribution transformer and the second distribution transformer paired runningZ12Time equal, try to achieve the 3rd critical load point S2~12
4. the economical operation control method of distribution transformer as claimed in claim 1, it is characterized in that, the switching cost of all switching points described in step (6), utilizes triangle probability distribution to ask for, and described electricity price also utilizes triangle probability distribution to ask for。
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