CN107122920A - A kind of transformer increase-volume scheme Economic Analysis Method - Google Patents

A kind of transformer increase-volume scheme Economic Analysis Method Download PDF

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CN107122920A
CN107122920A CN201710356615.1A CN201710356615A CN107122920A CN 107122920 A CN107122920 A CN 107122920A CN 201710356615 A CN201710356615 A CN 201710356615A CN 107122920 A CN107122920 A CN 107122920A
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transformer
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廖伟涵
郭创新
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Zhejiang University ZJU
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    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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Abstract

The invention discloses a kind of transformer increase-volume scheme Economic Analysis Method, consider every income and loss that transformer increase-volume operation is brought, judge the economy of transformer increase-volume operating scheme.This Economic Analysis Method is in terms of income, it is contemplated that the generating profit of transformer, in terms of loss, it is contemplated that impedance loss cost, overhaul of the equipments probability cost and power failure Default Probability cost.

Description

A kind of transformer increase-volume scheme Economic Analysis Method
Technical field
The invention belongs to power system device economic evaluation technical field, and in particular to a kind of transformer increase-volume scheme warp Ji property evaluation method.
Background technology
Among power transmission and transformation system, power transformer is the core that Key Asset is changed with electric energy.In recent years, China is defeated becomes The construction of electric system is continued to develop, and high-power transformer keeps higher annual growth to continue to develop, but need for electricity is continuous Increase causes transformer to keep high usage still significant.In general, transformer has the specified of nameplate sign Capacity, that is, consider the capacity that transformer load ability is formulated.But among Operation of Electric Systems process, due to some equipment hair Raw failure needs to carry out load transfer, or in view of economy, it is necessary to which transformer carries out the overlond running of short time, Huo Chengchao Carry, increase-volume is run.
Existing patent is based only upon security to consider the increase-volume scheme of transformer mostly.Such as Publication No. CN102879696B Chinese patent kind Automatic judgment method for over-load operational feasibility of transformer.Increase-volume load factor is constrained by hot(test)-spot temperature, but Transformer increase-volume scheme reasonability is not judged from economy point.
Some scholars consideration side economy establishes transformer load property appraisal procedure, it is considered to electricity price income, is damaged by impedance The transformer life caused by ageing equipment of becoming estranged is lost.But the method does not consider the fault rate rise brought by increase-volume, may The higher power failure risk caused.Under power-off condition, will there are the cost of overhaul and penalty cost.On the other hand, in scheme to by The transformer life loss that ageing equipment is caused considers, in practice and unreasonable in engineering.Generally, transformer fault is simultaneously Whole equipment is not resulted in be replaced, but by making it put into operation again after maintenance.Maintenance process is equivalent to extending change The theoretical rated life time of depressor.Therefore the loss for assessing transformer with the product of life loss and transformer total value can make estimation Amount is bigger than normal.
The content of the invention
To the above-mentioned technical problem present in prior art, commented the invention provides a kind of transformer increase-volume scheme economy Valency method, this method integrates transformer increase-volume generating profit, overhaul of the equipments cost, increase-volume impedance loss and power failure default loss Four aspects, assess the economy of transformer increase-volume scheme, increase-volume foundation are provided for policymaker.
In order to achieve the above object, the technical solution adopted in the present invention is as follows:A kind of transformer increase-volume scheme economy Evaluation method, comprises the following steps:
(1) environment temperature and transformer parameter in transformer station high-voltage side bus place are obtained, wherein, transformer parameter, which includes cooling, joins Number and economic parameters, the cooling parameter of transformer are determined that economic parameters is specified comprising transformer by transformer model, the type of cooling Capacity, power factor, open circuit loss, load loss, local rate for incorporation into the power network, local sales rate of electricity, transformer cost, repair into Originally, penalty cost.
(2) desired increase-volume load factor and increase-volume time are inputted;
(3) according to the increase-volume load factor of input, increase-volume time and transformer parameter, calculate after increase-volume in transformer The temperature of winding most thermal region, i.e. hot(test)-spot temperature;
(4) according to resulting hot(test)-spot temperature, the equipment failure rate in time period is calculated;
(5) according to increase-volume load factor, increase-volume time, the rated capacity of transformer and power factor parameter, local online electricity Valency and sales rate of electricity, calculating obtain the generating profit that increase-volume in time period is brought;
(6) according to increase-volume load factor, the increase-volume time, transformer noload losses and short circuit loss parameter calculate time period Interior equipment increase-volume impedance loss cost;
(7) used according to equipment failure rate and the cost of overhaul, computing device maintenance probability cost;
(8) according to equipment failure rate and power failure promise breaking expense, power failure Default Probability cost is calculated;Power failure promise breaking expense is to stop Electric-examination repaiies period to the penalty cost summation paid needed for user.
(9) comprehensive transformer generating profit, impedance loss cost, overhaul of the equipments probability cost and power failure Default Probability into This, obtains the mixed economy income under this increase-volume scheme.
Further, in the step (3), using GB/T15164-1994《Oil-immersed power transformer loads directive/guide》 The method of middle offer, according to load factor, current environmental temperature and increase-volume duration, calculates the equipment hot(test)-spot temperature after increase-volume θh
Further, in the step (4), using improved continuous AWH models, hot(test)-spot temperature θ is passed throughhCan computing device Fault rate λ:
Wherein, β, m are to be fitted obtained parameter by historical data;TeqFor the equivalent run time of transformer.L0To become Depressor rated life time, HI is equipment health index.
Further, in the step (5), generating profit R:
R=K (Pout-Pin)·Sn·t·cosθ
Wherein, PinFor unit electricity rate for incorporation into the power network, PoutFor unit electricity sales rate of electricity, SnFor transformer rated capacity, t For the increase-volume time, cos θ are power factor.
Further, in the step (6), increase-volume impedance loss Ci
Ci=Pin·(P0+K2·Pk)·t
Wherein, PinFor unit electricity rate for incorporation into the power network, P0For transformer noload losses, K is load factor, PkFor transformer impedance Loss, t is the increase-volume time.
Further, in the step (7), overhaul of the equipments probability cost Cf
Cf=λ Ff
Wherein, FfUsed for the cost of overhaul.
Further, in the step (8), power failure Default Probability cost Cb
Cb=λ Fb
Wherein, FbFor power failure promise breaking expense, i.e., to the penalty cost summation paid needed for user during interruption maintenance.
Further, in the step (9), gained mixed economy income Pro
Pro=R-Ci-Cf-Cb
Typically work as ProIt is believed that equipment increase-volume operation has economic well-being of workers and staff during more than 0, so can be by ProWhether it is more than 0 to make For the whether economic evaluation criteria of increase-volume scheme.It is of course also possible to expected revenus is provided, or the maximum that can be born is economical to damage Lose, with calculating gained ProCompare.
Beneficial effects of the present invention are as follows:It is comprehensive the invention provides a kind of transformer increase-volume scheme Economic Analysis Method Transformer increase-volume generating profit is closed, overhaul of the equipments cost, four aspects of increase-volume impedance loss and power failure default loss are assessed and become The economy of depressor increase-volume scheme, increase-volume foundation is provided for policymaker.Consider first and the probability brought is increased by power failure risk The cost of overhaul and penalty cost, solve the error not caused comprehensively to economy consideration among conventional method, to Practical Project The assessment of middle increase-volume scheme economy has directive significance.
Brief description of the drawings
Fig. 1 is the schematic flow sheet of increase-volume scheme Economic Analysis Method of the present invention;
Fig. 2 is environment temperature when being 30.2 degrees Celsius, the fault rate figure under different loads rate;
Fig. 3 is environment temperature when being 30.2 degrees Celsius, the generating profit graph under different loads rate;
Fig. 4 is environment temperature when being 30.2 degrees Celsius, the impedance loss cost figure under different loads rate;
Fig. 5 is environment temperature when being 30.2 degrees Celsius, the overhaul of the equipments probability cost figure under different loads rate;
Fig. 6 is environment temperature when being 30.2 degrees Celsius, the power failure Default Probability cost figure under different loads rate;
Fig. 7 is environment temperature when being 30.2 degrees Celsius, the mixed economy payoff diagram under different loads rate.
Embodiment
In order to more specifically describe the present invention, below in conjunction with the accompanying drawings and embodiment is to technical scheme It is described in detail.
As shown in figure 1, a kind of transformer increase-volume scheme Economic Analysis Method, comprises the following steps:
(1) the environment temperature θ in transformer station high-voltage side bus place is obtaineda, transformer parameter, increase-volume time t, in this case, become Depressor place of operation environment temperature θaFor 30.2 degrees Celsius, increase-volume time t is 20 minutes.
Transformer parameter includes cooling parameter and economic parameters.
The cooling parameter of transformer is determined by transformer model, the type of cooling, in this example, cooling parameter such as table 1, table 2 It is shown.Wherein, Δ θorFor temperature rise of the top-oil temperature to environment temperature in fuel tank under nominal loss;ΔθhrFor heat under rated current Temperature rise of the point temperature to top-oil temperature;τoFor oily time constant;τwWinding time constant;X is the oily index of top layer;R is nominal load The ratio of lower copper loss and iron loss;k11、k21、k22For transformer's type shape parameter, y is around class index.
Table 1:
Δθor Δθhr τo(min) τw(min) x
45 35 150 7 0.8
Table 2:
R k11 k21 k22 y
8 0.5 2.0 2.0 1.3
In this example, economic parameters is as shown in table 3.Wherein, SnFor transformer rated capacity, cos θ are power factor, FfFor The cost of overhaul is used, FbFor power failure promise breaking expense.
Table 3:
Sn(MVA) cosθ Ff(ten thousand) Fb(ten thousand)
8 0.5 100 120
In addition, the parameter relevant with economic calculating also has PinAnd Pout, respectively rate for incorporation into the power network and sales rate of electricity will be rear Value and foundation are introduced in the step of face.
(2) desired increase-volume back loading rate K is obtained, the general nameplate data by equipment of this load factor are multiplied by increase-volume multiple Obtain.It is the influence directly perceived for embodying load factor to economic factor in present embodiment, using apparatus of load rate during nominal load as 1, Probe under different increase-volume multiples, the change of each economic target.
(3) according to GB/T15164-1994《Oil-immersed power transformer loads directive/guide》The method of middle offer, according to current Load factor, current environmental temperature and increase-volume load factor, increase-volume duration, the equipment hot(test)-spot temperature θ after increase-volume can be calculatedh
(4) Arrhenius-Weibull-HI models are used, pass through hot(test)-spot temperature θhFault rate λ can be calculated.
Because this transformer does not carry out health index collection, health index-hot(test)-spot temperature association is carried out in the following way.
β, m for according to historical data be fitted come parameter.TeqFor the equivalent run time of equipment, by the duration and average of putting into operation Load factor is obtained.Each parameter value is as shown in table 4.
Table 4:
β m Teq
4.18 -3.68 10 (years)
(5) according to increase-volume load factor, the generating profit R that increase-volume is brought is calculated.This transformer station high-voltage side bus in Zhejiang area,《Zhejiang Notice of the river Price Control Administration of Shanxi Province on bidding price adjustment relevant issues (Zhejiang valency provides (2016) No. 2)》Middle publicity Zhejiang Province system adjusts coal-fired Power plant's rate for incorporation into the power network, as shown in table 5.
Table 5:
As shown in table 5, the rate for incorporation into the power network difference of each company is little.PinIt is chosen for all company's generated energy and electricity price weighting is flat Average 0.3897.
As shown in table 6,《Zhejiang Price Control Administration of Shanxi Province saves notice (the Zhejiang valency money of sales rate of electricity supplied to consumers relevant issues on reduction (2016) No. 103)》Central publicity Zhejiang Province sales rate of electricity supplied to consumers.
Table 6:
As shown in table 6, power consumption and electricity consumption species produce influence to sales rate of electricity.The main load of this transformer is 220 kilovolts Commercial power, takes PoutFor 0.6296.Calculate the generating profit that increase-volume is brought:
R=K (Pout-Pin)·Sn·t·cosθ
Wherein, PinFor unit electricity rate for incorporation into the power network, PoutFor unit electricity sales rate of electricity, SnFor transformer rated capacity, t For the increase-volume time, cos θ are power factor.
(6) according to increase-volume load factor, computing device increase-volume impedance loss:
Ci=Pin·(P0+K2·Pk)·t
Wherein, PinFor unit electricity rate for incorporation into the power network, P0For transformer noload losses, K is load factor, PkFor transformer impedance Loss, t is the increase-volume time.
(7) according to equipment failure rate, computing device maintenance probability cost:
Cf=λ Ff
Wherein, FfUsed for the cost of overhaul.
(8) according to equipment failure rate, power failure Default Probability cost is calculated:
Cb=λ Fb
Wherein, FbFor power failure promise breaking expense, i.e., to the penalty cost summation paid needed for user during interruption maintenance.
(9) comprehensive transformer generating profit, impedance loss cost, overhaul of the equipments probability cost, and power failure Default Probability Cost, obtains the mixed economy income under this increase-volume scheme:
Pro=R-Ci-Cf-Cb
It is 0-1.6 by load factor K, brings above-mentioned steps 1-9 into every 0.01 step-length, the focus under each load factor can be obtained Temperature, fault rate and each economic target, obtain Fig. 2 to Fig. 7 curve based on this, can intuitively reflect parameters Relation between load factor.Meanwhile, representative data record is chosen among table 7.
Table 7:
Mixed economy income-load factor curve shown in Fig. 7, can help increase-volume policymaker to find and meet cost-effectiveness requirement Increase-volume it is interval.Such as not go into the red to require, obtained permission increase-volume load factor interval is [0,1.51].

Claims (8)

1. a kind of transformer increase-volume scheme Economic Analysis Method, it is characterised in that comprise the following steps:
(1) environment temperature and transformer parameter in transformer station high-voltage side bus place are obtained, wherein, transformer parameter include cooling parameter and Economic parameters, the cooling parameter of transformer is determined that economic parameters includes the specified appearance of transformer by transformer model, the type of cooling Amount, power factor, open circuit loss, load loss, local rate for incorporation into the power network, local sales rate of electricity, transformer cost, maintenance cost, Penalty cost.
(2) desired increase-volume load factor and increase-volume time are inputted;
(3) according to the increase-volume load factor of input, increase-volume time and transformer parameter, the middle winding of transformer after increase-volume is calculated The temperature of most thermal region, i.e. hot(test)-spot temperature;
(4) according to resulting hot(test)-spot temperature, the equipment failure rate in time period is calculated;
(5) according to increase-volume load factor, increase-volume time, the rated capacity of transformer and power factor parameter, local rate for incorporation into the power network and Sales rate of electricity, calculating obtains the generating profit that increase-volume in time period is brought;
(6) according to increase-volume load factor, the increase-volume time, transformer noload losses and short circuit loss parameter are calculated and set in time period Standby increase-volume impedance loss cost;
(7) used according to equipment failure rate and the cost of overhaul, computing device maintenance probability cost;
(8) according to equipment failure rate and power failure promise breaking expense, power failure Default Probability cost is calculated;Power failure promise breaking expense is examined to have a power failure To the penalty cost summation paid needed for user during repairing.
(9) comprehensive transformer generating profit, impedance loss cost, overhaul of the equipments probability cost and power failure Default Probability cost, Obtain the mixed economy income under this increase-volume scheme.
2. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (3) In, using GB/T15164-1994《Oil-immersed power transformer loads directive/guide》The method of middle offer, according to load factor, currently Environment temperature and increase-volume duration, calculate the equipment hot(test)-spot temperature θ after increase-volumeh
3. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (4) In, using improved continuous AWH models, pass through hot(test)-spot temperature θhCan computing device fault rate λ:
<mrow> <mi>&amp;lambda;</mi> <mo>=</mo> <mfrac> <mi>&amp;beta;</mi> <mrow> <msub> <mi>L</mi> <mn>0</mn> </msub> <mo>&amp;CenterDot;</mo> <mfrac> <msup> <mi>e</mi> <mrow> <mi>m</mi> <mo>&amp;CenterDot;</mo> <mi>H</mi> <mi>I</mi> </mrow> </msup> <mrow> <msup> <mi>e</mi> <mi>m</mi> </msup> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mfrac> <mo>&amp;CenterDot;</mo> <msup> <mrow> <mo>(</mo> <mfrac> <msub> <mi>T</mi> <mrow> <mi>e</mi> <mi>q</mi> </mrow> </msub> <mrow> <msub> <mi>L</mi> <mn>0</mn> </msub> <mo>&amp;CenterDot;</mo> <mfrac> <msup> <mi>e</mi> <mrow> <mi>m</mi> <mo>&amp;CenterDot;</mo> <mi>H</mi> <mi>I</mi> </mrow> </msup> <mrow> <msup> <mi>e</mi> <mi>m</mi> </msup> <mo>-</mo> <mn>1</mn> </mrow> </mfrac> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mi>&amp;beta;</mi> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow>
Wherein, β, m are to be fitted obtained parameter by historical data;TeqFor the equivalent run time of transformer.L0For transformer Rated life time, HI is equipment health index.
4. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (5) In, generating profit R:
R=K (Pout-Pin)·Sn·t·cosθ
Wherein, PinFor unit electricity rate for incorporation into the power network, PoutFor unit electricity sales rate of electricity, SnFor transformer rated capacity, t is increasing Appearance time, cos θ are power factor.
5. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (6) In, increase-volume impedance loss Ci
Ci=Pin·(P0+K2·Pk)·t
Wherein, PinFor unit electricity rate for incorporation into the power network, P0For transformer noload losses, K is load factor, PkIt is lost for transformer impedance, T is the increase-volume time.
6. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (7) In, overhaul of the equipments probability cost Cf
Cf=λ Ff
Wherein, FfUsed for the cost of overhaul.
7. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (8) In, power failure Default Probability cost Cb
Cb=λ Fb
Wherein, FbFor power failure promise breaking expense, i.e., to the penalty cost summation paid needed for user during interruption maintenance.
8. transformer increase-volume scheme Economic Analysis Method according to claim 1, it is characterised in that the step (9) In, gained mixed economy income Pro
Pro=R-Ci-Cf-Cb
CN201710356615.1A 2017-05-19 2017-05-19 A kind of transformer increase-volume scheme Economic Analysis Method Pending CN107122920A (en)

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109657912A (en) * 2018-11-15 2019-04-19 国网浙江省电力有限公司金华供电公司 A kind of visual power grid risk management and control method and system
CN111817305A (en) * 2020-06-10 2020-10-23 国电南瑞科技股份有限公司 Power grid operation efficiency post-evaluation method and system for capacity increase of power transmission and transformation equipment
CN113076511A (en) * 2021-02-22 2021-07-06 国网浙江省电力有限公司电力科学研究院 Loss reduction and energy saving quantitative calculation method for main and distribution network transformer technology

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103245857A (en) * 2013-04-23 2013-08-14 浙江大学 Assessment method for loadable index of oil immersed power transformer
CN104778635A (en) * 2015-04-24 2015-07-15 西安交通大学 Replacing method for distribution transformer under whole life cycle frame
CN105406463A (en) * 2015-11-13 2016-03-16 中国电力科学研究院 Evaluation method for self-adaptive load type distribution transformer operating economy

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103245857A (en) * 2013-04-23 2013-08-14 浙江大学 Assessment method for loadable index of oil immersed power transformer
CN104778635A (en) * 2015-04-24 2015-07-15 西安交通大学 Replacing method for distribution transformer under whole life cycle frame
CN105406463A (en) * 2015-11-13 2016-03-16 中国电力科学研究院 Evaluation method for self-adaptive load type distribution transformer operating economy

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109657912A (en) * 2018-11-15 2019-04-19 国网浙江省电力有限公司金华供电公司 A kind of visual power grid risk management and control method and system
CN109657912B (en) * 2018-11-15 2022-01-25 国网浙江省电力有限公司金华供电公司 Visual power grid risk management and control method and system
CN111817305A (en) * 2020-06-10 2020-10-23 国电南瑞科技股份有限公司 Power grid operation efficiency post-evaluation method and system for capacity increase of power transmission and transformation equipment
CN111817305B (en) * 2020-06-10 2022-05-10 国电南瑞科技股份有限公司 Power grid operation efficiency post-evaluation method and system for capacity increase of power transmission and transformation equipment
CN113076511A (en) * 2021-02-22 2021-07-06 国网浙江省电力有限公司电力科学研究院 Loss reduction and energy saving quantitative calculation method for main and distribution network transformer technology
CN113076511B (en) * 2021-02-22 2024-06-07 国网浙江省电力有限公司电力科学研究院 Main distribution network transformer technology loss reduction energy saving quantitative calculation method

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