CN102882214B - Voltage class combination selecting method for high-voltage distribution network in rural area - Google Patents
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Abstract
The invention discloses a voltage class combination selecting method for a high-voltage distribution network in a rural area. The voltage class combination selecting method provides a calculation method for power supply radiuses within a planning period, enables influences of the power supply radius average change rate per annum and the load average growth rate per annum to be taken into consideration for calculation of operating cost and construction cost, and realizes more precision economical comparison of different voltage class selection schemes. The method includes: (1) using a novel load saturation annual power supply radius calculation method to determine a power supply radius; (2) calculating the construction cost of a substation with consideration of influences of the power supply radius on the power line length; (3) calculating the operating cost with consideration of influences of the power supply radius on the power line length and the transmission load of the substation; and (4) evaluating the voltage class selection schemes according to the calculated construction cost and the operating cost. Since power supply radius and load change influences in a depreciation period are taken into consideration, accuracy in evaluation on economy of the voltage class combination schemes is greatly improved by means of the voltage class combination selecting method.
Description
technical field
The present invention relates to the high voltage distribution network Voltage Class system of selection of a kind of rural area, belong to electrical engineering planning technology field.
background technology
Electric pressure is problem the most basic in electric network composition.The unreasonable network loss that will cause that electric pressure is chosen increases, and rate of qualified voltage is low, power supply safety poor reliability, and build a series of adverse consequencess such as maintenance cost increase.At present, rural areas in our country high voltage distribution network generally adopts 35/10kV and two kinds of Voltage Class of 110/10kV.Under the condition low in circuit load factor, insulation expense is high, it is suitable adopting the scheme of 35/10kV.But along with the continuous growth of town and country loads, will there is the problems such as the poor and line loss electric weight height of power supply capacity deficiency, quality of voltage in this scheme.For addressing the above problem, all adopt 110/10kV Voltage Class in developed area.The advantage of cancelling 35kV electric pressure comprises: (1) has reduced the energy loss of 35kV electric pressure; (2) equipment investment of saving 35kV electric pressure; (3) reduce 35kV electric pressure operation link, improve the reliability of power supply.
The selection of Voltage Class is relevant with construction, the operating cost of regional load level, service area's area and this electric pressure power transmission and transforming equipment, select the combination of which kind of electric pressure to bring maximum economic benefit for power supply enterprise, need could determine by technology, economic comparison.Load density is the main judging quota that current regional Voltage Class is selected.Under the known condition of the average supply district of regional transformer station, this index can be obtained the load that Mei Zuo transformer station on average send down, and then by the comparison of operation, construction cost under different schemes, determines and is applicable to the Voltage Class that adopts.As the technical literature (" reasonable disposition of urban distribution network electric pressure ") of delivering on " electric power network technique " (the 30th volume the 10th phase 64-68 page in 2006); The document (" the Technological Economy Journal of Sex Research of Hunan Electric Grid development 20kV power distribution network ") of delivering on " electric power network technique " (the 35th volume the 2nd phase 88-93 page in 2011); The document (" city net distribution voltage grade research ") of delivering on the document " comparison of Shanghai Power Network high-voltage distribution network electric pressure Technological Economy " of delivering on " for electricity consumption " (the 20th volume the 4th phase 17-20 page in 2003) and " electric power network technique " (the 23rd volume the 2nd phase 31-33 page in 1999).These documents are all to determine that by the size of regional load density this area is applicable to the Voltage Class adopting.
In load density method, transformer station's radius of electricity supply definite most important, because it not only determines the length of transformer station's power circuit, and is determining the load of sending under transformer station.But, in project period transformer station's radius of electricity supply determine very difficult because its increasing and progressively reduces but also along with the variation of power circuit buckling factor changes with transformer station in landing pit not only.At present, all technical literatures all adopt fixing empirical value or obtain by simple estimation in the time of the setting of radius of electricity supply, do not consider the situation of change of this parameter within project period and project period internal loading growth situation of change, cause result of calculation too rough.As obtained power supply area for load and the ratio of load density by transformer station in 2007 Shanghai Communications University's master thesis " urban power distribution network electric pressure and powering mode Study on selection ", and then try to achieve radius of electricity supply, but the load density in project period itself is exactly a changing value, can not be set as simply a constant; For the economy that relatively 110kV and 35kV power, document " Shandong Electric Power Group technology ", in the 2nd phase 29-32 pages in 1994, " choosing of city net rural power grids high voltage distribution network electric pressure " adopts empirical value to choose radius of electricity supply, and do not consider the variation of radius of electricity supply within project period; Document " current situation and development of electrical network distribution voltage both at home and abroad---the Necessity and feasibility two of 20kV power distribution network is carried out by the opinion of holding concurrently China " (" electrotechnics ", the 10th phase 1-5 page in 1996) in described the Construction and operation cost curve of various schemes under different load density, do not consider equally load density and the radius of electricity supply situation of change within project period.In sum, there is no at present effective, practical method and estimate average supply district and the load density of regional transformer station in project period, and then cannot evaluate relatively accurately the Voltage Class that area is applicable to employing, the invention provides a kind of new Voltage Class choosing method.
summary of the invention
The object of the invention is, the problem of selecting planning to exist according to existing distribution network voltage grade, a kind of new Voltage Class evaluation method is proposed, the method has provided the computational methods of radius of electricity supply in project period, make the calculating of operating cost and construction cost can consider the to load impact of average growth rate per annum and the average annual rate of change of radius of electricity supply, realize each scheme economy is compared more accurately.
Technical scheme of the present invention is under the condition of radius of electricity supply and load variations, to calculate construction and operating cost under different schemes, thereby electric pressure selection scheme economy is compared to evaluation within consideration depreciation period.
The present invention chooses mainly for rural areas in our country high voltage distribution network Voltage Class, therefore only with 110/10kV (scheme one) and two kinds of assembled schemes of 35/10kV (scheme two) object as a comparison.According to " rural power network planning and designing directive/guide " regulation (DL/T5118-2000), 110kV and 35kV transformer station all need to be furnished with reactive-load compensation equipment, therefore its low-pressure side 10kV bus can be used as the power supply processing of voltage constant.Therefore with regard to 10kV circuit, can think that 110kV is identical with 35kV transformer station radius of electricity supply.
Do not considering under the condition of maintenance cost and scraping expense difference, if formula (1) is set up, showing that the supply power mode of the 110kV/10kV of this area is better than the supply power mode of 35kV/10kV electric pressure.
(
W c1
+
W p1
)<(
W c2
+W p2
) (1)
In formula:
w c1
with
w c2
be respectively scheme 1 and the construction cost in 2 depreciation periods of scheme;
w p1
with
w p2
be respectively scheme 1 and the operating cost in 2 depreciation periods of scheme, i.e. wear and tear expense.Herein, by future value standard as a comparison.
Rural area of the present invention high voltage distribution network Voltage Class system of selection comprises the following steps:
Determining of the first step, radius of electricity supply
The size of radius of electricity supply is not only determining the length of power circuit, is also determining the load of sending under transformer station.Therefore determining of radius of electricity supply has vital impact to operating cost and construction cost.Herein, the present invention proposes saturated year radius of electricity supply computational methods of a kind of new load, and then can determine by the average annual rate of change of radius of electricity supply and the time limit of depreciation period the radius of electricity supply in the depreciation end of term.
In general, the buckling factor of 10kV circuit and the quantity of its power supply relation that is inversely proportional to.The radius of electricity supply of therefore, loading saturated year
r f can be determined by following equation:
(2)
In formula: subscript
fwith
csaturated year of representative load and the year before last of working as respectively;
lfor the 10kV line length of the power supply point of loading farthest;
kfor 10kV circuit is farthest to radius of electricity supply
rbuckling factor;
rfor radius of electricity supply;
mfor 10kV power supply number, i.e. the number of 35kV and 110kV transformer station;
sfor service area's area.
In formula (2), when the power supply number of the year before last
m c , buckling factor
k c for given value; The object of planning year rural area 10kV line length upper limit of power supply point of loading farthest
l f in Guo Wang company power distribution network technology directive/guide, having regulation, is also given value.Therefore, only have
k f ,
m f with
r f for unknown quantity, and equation equation also has three, can determine the unique solution of target year radius of electricity supply.
The calculating of second step, construction cost
Construction cost is the required expense of the investment construction of transformer station, generally all consider as a fixed value, but from the project period of a long period, due to reasons such as the π of new transformer station enter, the construction cost of power circuit can reduce along with the reduction of radius of electricity supply and buckling factor.Therefore, the construction cost of depreciation end of term power circuit is not by its construction length originally, but is determined by radius of electricity supply and the buckling factor in the depreciation end of term.
Suppose that somewhere needs
yarrive saturated year of load year, the average annual rate of descent of radius of electricity supply and buckling factor is respectively:
(3)
(4)
In formula: subscript
fwith
csaturated year of representative load and the year before last of working as respectively;
rfor radius of electricity supply;
kfor the buckling factor of power circuit;
d r with
d k be respectively the average annual rate of descent of radius of electricity supply and buckling factor.
Suppose that load is greater than equipment depreciation year in saturated year, is taking into account under the condition of radius of electricity supply and buckling factor rate of change depreciation end of term transformer substation construction expense
w c as the formula (5), derivation is shown in annex to calculation expression.Because 110kV is identical with the radius of electricity supply of 35kV transformer station, the construction criteria of its 10kV electrical network is consistent, so locate not consider the construction cost of 10kV network.
W c =
(5)
In formula:
x t with
x l be respectively the construction cost of transformer station's converting equipment and unit length power circuit;
l c for the power circuit length of building (comprises stand-by power supply circuit
l b interior);
ifor bank's Annual Percentage Rate;
nfor the depreciation time limit.
The calculating of the 3rd step, operating cost
Operating cost mainly comprises the wear and tear expense of power circuit and transformer.Taking into account after the average annual rate of change of the average growth rate per annum of load, radius of electricity supply and the Annual Percentage Rate of operating cost, the wear and tear expense value of depreciation end of term power circuit and transformer is respectively suc as formula shown in (6) and formula (7).Equally, because the construction criteria of 10kV electrical network is consistent, do not consider the kwh loss expense of 10kV network herein.
=
(6)
=
(7)
In formula:
w l with
w t be respectively the wear and tear expense of power circuit and transformer; Integration variable
xfor year;
ρfor regional load density;
the
xthe radius of electricity supply in year;
tfor the annual growth of load;
be
xthe burden with power in year;
r 0for the resistance per unit length of power circuit;
lfor transformer station under normal operating mode be subject to electric line length, its value equals power circuit length
l c deduct stand-by power supply line length
l b ;
be
xyear, transformer station was subject to electric line length;
φfor power-factor angle;
vfor transforming plant main transformer high side voltage;
t maxfor regional number of working hours based on maximum load;
cfor electricity price;
r t for the short-circuit resistance of transformer.
The evaluation of the 4th step, scheme
According to the construction cost and the operating cost that calculate gained, through type (1) can be evaluated electric pressure selection scheme.
In second step of the present invention, the derivation of depreciation end of term transformer substation construction expense calculation expression is as follows:
In not considering, under the condition of low-voltage equipment construction cost, the construction cost of transformer station is mainly divided converting equipment and power circuit two parts, shown in (8).
W c =
X t +
X L (8)
Wherein,
x l for the construction cost of power circuit after consideration extension wire.
For converting equipment, the factors such as its construction cost and radius of electricity supply are irrelevant, therefore can think that construction cost is constant, therefore the construction cost of depreciation end of term converting equipment after consideration Interests
x t f for:
X t f =
(9)
For power circuit, due to reasons such as the π of new transformer station enter, its construction cost can reduce along with the reduction of radius of electricity supply and buckling factor.Therefore at the average annual rate of change of radius of electricity supply
d r with the average annual rate of change of buckling factor
d k known, and do not consider under the condition of Interests the construction cost in its depreciation end of term
x l f can be expressed as:
X L f =
(10)
For
xyear, the interest expense that its power circuit produces should be the interest of construction cost last year
with compound interest
sum:
=
(11)
For going into operation latter the 1st year,
interest rate is
x l i; For going into operation latter the 2nd year, interest rate is
d r d k x l i+
x l i(1+
i); For go into operation after the 3rd year, interest rate be (
d r d k )
2 x l i+
d r d k x l i(1+
i)+
x l i(1+
i)
2; For go into operation after the 4th year, interest rate be (
d r d k )
3 x l i+ (
d r d k )
2 x l i(1+
i)+
d r d k x l i(1+
i)
2+
x l i(1+
i)
3;
Can find out by above-mentioned derivation, after going into operation the
nyear, interest rate is:
=
X L i[(
d r d k )
n-1
+(
d r d k )
n-2
(1+
i)+(
d r d k )
n-3
(1+
i)
2+……+(
d r d k )
n-
n (1+
i)
n-1
] (12)
Employing integrated form is expressed as:
=
(13)
Therefore, in the depreciation end of term, construction cost can be expressed as:
W c =
X t f +
X L f +
=
The present invention's beneficial effect is compared with the prior art, provided the evaluation method of radius of electricity supply in project period, and in the calculating of construction cost and operating cost, considered the variable effect of radius of electricity supply and load growth, improved the accuracy of evaluation result.
The present invention is applicable to choosing and Economic Evaluation regional line voltage grade combination.
brief description of the drawings
Fig. 1 is bus arrangement mode schematic diagram;
Fig. 2 is the sensitivity relation of total cost to load;
Fig. 3 is the sensitivity relation of critical load density to load average growth rate per annum;
In Fig. 1, figure number represents: the 1st, and supply district; The 2nd, upper level power supply; The 3rd, electric pressure to be studied transformer station; The 4th, under normal operating mode transformer station be subject to electric line,
lfor its length;
l b the length of stand-by power supply circuit;
rit is the radius of electricity supply of transformer station.
Embodiment
The present embodiment is implemented under taking technical solution of the present invention as prerequisite, has provided detailed execution mode and concrete operating process.
The embodiment of the present invention combines object as a comparison with two kinds of 110/10kV (scheme one) and 35/10 kV (scheme two), calculate construction and operating cost under two kinds of different schemes in whole depreciation period, and in the calculating of construction cost and operating cost, consider the variable effect of radius of electricity supply and load growth, thereby electric pressure selection scheme is evaluated.
Before evaluation, first determine evaluation criterion.
By future value standard as a comparison.If formula (1) is set up, (
w c1
+
w p1
) < (
w c2
+ W p2
), can cancel in this area 35kV electric pressure, adopt the mode of 110kV/10kV to power.In formula:
w c1
with
w c2
be respectively scheme 1 and the construction cost in 2 depreciation periods of scheme;
w p1
with
w p2
be respectively scheme 1 and the operating cost in 2 depreciation periods of scheme, i.e. wear and tear expense.
The present embodiment is implemented by following steps.
Determining of first step radius of electricity supply
Due to the buckling factor of 10kV circuit and the quantity of its power supply relation that is inversely proportional to, therefore at the buckling factor when the circuit the year before last
k c , radius of electricity supply
r c , power supply number
m c with saturated year nose road length of load
l f under known condition, through type (2) can be obtained saturation loading year radius of electricity supply
r f value.
The calculating of second step construction cost
From the project period of a long period, due to reasons such as the π of new transformer station enter, the construction cost of power circuit can reduce along with the reduction of radius of electricity supply.Therefore, the construction cost of depreciation end of term power circuit is not only relevant with the line length of building originally, also relevant with buckling factor with the radius of electricity supply in the depreciation end of term.
Suppose that somewhere needs
yit is saturated year year to arrive load, and the average annual rate of descent of radius of electricity supply and buckling factor can be distinguished through type (3) and formula (4) is definite.
Because 110kV is identical with the radius of electricity supply of 35kV transformer station, the construction criteria of its 10kV electrical network is consistent, thus scheme relatively in can not consider the construction cost of 10kV network.Suppose saturated year of load to be greater than equipment depreciation year, under radius of electricity supply and the known condition of the average annual rate of descent of buckling factor, depreciation end of term transformer substation construction expense
w c can determine by through type (5),
W c =
(5)。
The calculating of the 3rd step operating cost
Operating cost mainly comprises the wear and tear expense of power circuit and transformer.After under the condition of taking into account load average growth rate per annum, the average annual rate of change of radius of electricity supply and operating cost Annual Percentage Rate, the wear and tear expense value of depreciation end of term power circuit and transformer can distinguish through type (6) and formula (7) is determined.
The evaluation of the 4th step scheme
According to the construction cost and the operating cost that calculate gained, through type (1) can be evaluated electric pressure selection scheme.
The present embodiment is by the validity of certain province rural area electrical network checking institute extracting method in 2010, and verification environment is set to: 2010, certain province rural area area was
s=15.53 ten thousand square kilometres; Electricity consumption peak load
p c =4000MW; Number of working hours based on maximum load
t max=3000h; 10kV power supply number
m c =881, wherein 110,110kV transformer station, 771,35kV transformer station; Under normal operating mode, transformer station is subject to electric line average length
l=24km, power factor (PF) cos
φ=0.95; The longest 10kV circuit average length is
l c =30km; Power factor (PF) is cos
φ 10=0.9; Bank's Annual Percentage Rate
i=0.1; Electricity price
c=0.6 yuan/kWh; Year number after this province's rural area load reaches capacity
y=30; The depreciation period of power transformation and line facility
nbe 25 years; Main transformer and line parameter circuit value are as shown in table 1, and unit price is as shown in table 2.
Table 1 main transformer and line parameter circuit value setting
table 2 Project Unit cost
Project | Parameter | Depreciable life | Unit price |
110/10kV transformer station | 1×40 MVA | 25 years | 2000 ten thousand yuan/ |
35/10kV transformer station | 2×10 MVA | 25 years | 1200 ten thousand yuan/ |
110kV circuit | 240 mm 2 | 25 years | 700000 yuan/km |
35kV circuit | 185 mm 2 | 25 years | 400000 yuan/km |
The mode of connection that this province's high voltage distribution network generally adopts bilateral source list to go back to 2 transformer stations of serial connection, as shown in Figure 1.Suppose that 110kV and 35kV transformer station supply district are for circle, radius is
r, under normal operating mode, its economic length that is subject to electric line is 2
r.Consider the buckling factor of circuit
kafter, it is subject to the length of electric line
l=2
kR; Extension wire length
l b =0.5
l=
kR.
Known according to arranging of calculating parameter, this economizes rural area load density in 2010
ρ c =
p c /
s=25.76kw/km
2; Radius of electricity supply
r c =
=7.5km; The buckling factor of transformer station's power circuit
k c =
l/2
r c =1.6; Extension wire length
l b =0.5
l=12km; The longest medium-voltage line buckling factor
k c =
l c /
r c =4.
The buckling factor of high voltage distribution network transformer station power circuit
k f with the inversely proportional relation of quantity of 220kV transformer station, under the known condition of calculating parameter, still can adopt in theory formula (2) to solve.But be convenience of calculation, do not consider the situation of change of 220kV transformer station quantity herein, suppose that the buckling factor of saturation loading year power circuit is with consistent when the year before last,
k f =1.6,
d k =1.
According to the regulation in " distribution network planning designing technique directive/guide ", rural area (D class) farthest load point should not exceed 15km to the line length of bus end,
l f =15km.Known by solving formula (2), the radius of electricity supply of saturated year
r f =5.95km.Carry it into formula (3), the average annual rate of descent of known radius of electricity supply
d r =0.9923.
1, example calculation
Suppose this province's rural area load average growth rate per annum in depreciation period
tbe 8%, two schemes economy is compared as follows:
1) scheme one
According to formula (5), can obtain depreciation end of term transformer substation construction expense
w c1
=45,810 ten thousand yuan; According to formula (6) and formula (7), can obtain the electric energy loss expense of depreciation end of term power circuit
w l1
=376 ten thousand yuan; The wear and tear expense of transformer
w t1
=157 ten thousand yuan, operation total cost
w p1
=
w l1
+
w t1
=533 ten thousand yuan.
2) scheme two
Consider power supply capacity, 35kV transformer station has configured two main transformers.Suppose that two main transformers move simultaneously, according to formula (5) ~ (7), can obtain depreciation end of term transformer substation construction expense
w c2
=26,796 ten thousand yuan; Power circuit wear and tear expense
w l2
=4,819 ten thousand yuan, transformer loss expense
w t2
=384 ten thousand yuan, operation total cost
w p2
=5,203 ten thousand yuan.
3) scheme comparison
From result of calculation, the total cost of scheme one is ten thousand yuan of 533+45810=46343; The total cost of scheme two is ten thousand yuan of 5203+26796=31999.Therefore,, with regard to the load density of current this province's electrical network, be applicable to taking the Voltage Class of 35/10kV.
2, sensitivity analysis
1) load density sensitivity analysis
For the sensitivity relation of analyzing total expense to load density, by load density
ρwith 1kw/km
2for step-length, from 25kw/km
2be increased to 60kw/km
2, analytic curve as shown in Figure 2.As seen from the figure, as load density>=51.97kW/km
2time, the expense of scheme two will exceed scheme one, show now to cancel 35kV electric pressure, and it is comparatively economical adopting 110kV power supply.Otherwise, only have in the time that 35kV transformer station power supply capacity is not enough, be just applicable to adopting the Voltage Class of 110/10kV.In other words,, by the Growth Rate Calculation of load average annual 8%, after 9.12,35kV electric pressure can be cancelled in this province rural area.
2) load growth rate sensitivity analysis
For analyzing the critical point of cancelling 35kV under different load growth rate, Fig. 3 has provided the sensitivity curve of critical point place load density with load average growth rate per annum.As seen from the figure, if load can ensure to the depreciation end of term, by 13% speed increment, to equal 25kw/km in load density
2time, just can cancel then 35kV electric pressure.
Claims (1)
1. a rural area high voltage distribution network Voltage Class system of selection, it is characterized in that, described method is considered under the condition of radius of electricity supply and load variations in depreciation period, calculate construction and operating cost under different schemes, thereby electric pressure selection scheme economy is compared to evaluation, and described method comprises:
(1) adopt saturated year radius of electricity supply computational methods of load to determine radius of electricity supply, the radius of electricity supply R loading saturated year
fcan be determined by following equation:
Wherein, k
cfor the buckling factor when the circuit the year before last; R
cfor the radius of electricity supply when the year before last; m
cfor working as the power supply number the year before last; l
ffor the saturated year nose road length of loading; R
ffor the radius of electricity supply of loading saturated year; m
ffor the saturated year power supply number of loading; k
ffor the buckling factor of the saturated year circuit of loading; When the power supply of the year before last is counted m
c, buckling factor k
cwith line length l
c, the saturated year nose road length l of loading
fduring for given value, can ask k
f, m
fand R
funknown quantity, determines the unique solution of target year radius of electricity supply;
(2) consider the factor that the construction cost of depreciation period power circuit can reduce along with the reduction of radius of electricity supply, calculate transformer substation construction expense:
Somewhere needs y to arrive load saturated year, and the average annual rate of descent of radius of electricity supply and buckling factor is respectively:
Wherein: R is radius of electricity supply; K is the buckling factor of power circuit; d
rand d
kbe respectively the average annual rate of descent of radius of electricity supply and buckling factor; Subscript f and c represent respectively saturated year of load and work as the year before last; Y arrives the load year number of degrees of saturated year;
Depreciation end of term transformer substation construction expense W
ccalculation expression be:
Wherein, X
tand X
lbe respectively the construction cost of transformer station's converting equipment and unit length power circuit; L
cfor the power circuit length of building, comprise stand-by power supply circuit L
binterior; I is bank's Annual Percentage Rate; N is the depreciation time limit;
(3) taking into account after the average annual rate of change of the average growth rate per annum of load, radius of electricity supply and the Annual Percentage Rate of operating cost the electric energy loss cost value of computing depreciation end of term power circuit wear and tear expense and transformer:
Wherein: W
land W
tbe respectively the wear and tear expense of power circuit wear and tear expense and transformer; Integration variable x is year; ρ is regional load density;
r
cthe radius of electricity supply of x; T is the annual growth of load;
it is the burden with power of x; r
0for the resistance per unit length of power circuit; L be under normal operating mode transformer station be subject to electric line length, its value equals power circuit length L
cdeduct stand-by power supply line length L
b;
be the length that x transformer station is subject to electric line;
for power-factor angle; V is transforming plant main transformer high side voltage; T
maxfor regional number of working hours based on maximum load; C is electricity price; r
tfor the short-circuit resistance of transformer;
(4), according to the construction cost under different Voltage Class selection schemes and electric energy loss expense, carry out economy relatively and evaluate.
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