Методы определения составляющих полной мощности в системах электрической тяги
Ways of definition of components of total power in systems of electric propulsion are stated. Using the method of correlation functions, the new approach to determination of these constituents is offered. The numeral calculations of active, inactive and total power are executed, and also coefficient...
Saved in:
| Published in: | Технічна електродинаміка |
|---|---|
| Date: | 2011 |
| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Інститут електродинаміки НАН України
2011
|
| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/61973 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Методы определения составляющих полной мощности в системах электрической тяги / Н.А. Костин, А.В. Петров // Технічна електродинаміка. — 2011. — № 3. — С. 53-59— Бібліогр.: 10 назв. — pос. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859477285149605888 |
|---|---|
| author | Костин, Н.А. Петров, А.В. |
| author_facet | Костин, Н.А. Петров, А.В. |
| citation_txt | Методы определения составляющих полной мощности в системах электрической тяги / Н.А. Костин, А.В. Петров // Технічна електродинаміка. — 2011. — № 3. — С. 53-59— Бібліогр.: 10 назв. — pос. |
| collection | DSpace DC |
| container_title | Технічна електродинаміка |
| description | Ways of definition of components of total power in systems of electric propulsion are stated. Using the method of correlation functions, the new approach to determination of these constituents is offered. The numeral calculations of active, inactive and total power are executed, and also coefficient of inactive power has been calculated by three methods. The estimation of relation of non-productive losses of active electric power to the reactive power conditioned flowing in a hauling network, to consumed is resulted also. It is set that this index can exceed 10%.
|
| first_indexed | 2025-11-24T11:50:45Z |
| format | Article |
| fulltext |
ISSN 1607-7970. . . 2011. 3 53
621.31
1, , 2,
1,2 . ,
. , 2, , 49010, .
. -
, . -
, ,
.
, , . -
, 10%. . 10, . 1, . 3.
: , , .
.
-
. -
.
,
. , . , -
, , ,
, -
[3,4]. -
, ,
, , . -
[6], , .
-
– -
tu i t
( , , ) -
. , tu ti , , -
.
,
,
[1]. ,
-
.
: -
« », -
.
. « »,
[7],
. T ( )
u t i t
p t t , -
© ., ., 2011
54 ISSN 1607-7970. . . 2011. 3
[2] ( . 1): Nn tttt ...,,...,,, 21 ; 1 ;n n
Tt t t N
t
,
N – -
0, T .
-
u t i t :
1 1 2 2, , ..., , ...,n n N Nu t u u t u u t u u t u ;
1 1 2 2, , ..., , ...,n n N Ni t i i t i i t i i t i .
nt
n n n n n np t p u t i t u i , (1)
1 1
1 1N N
n n n
n n
P p u i
N N
. (2)
2
1
1 N
n
n
U u
N
, 2
1
1 N
n
n
I i
N
. (3, 4)
S UI . (5)
2 2Q S P . (6)
tg Q P . (7)
-
T u t i t , -
( , ). -
u t i t
( f t ) 0, T ,
, . -
T ( . 2),
[10]. f t -
0
jj tF j f t e dt F e
, -
. -
f t 1n nt t t ( . 2) -
[2]. . 2: N – ; 1, 2, ...,n N ;
t T N .
-
,
f n t f t -
1
N
n
f n t f n t t n t ,
, -
,
. 1
. 2
ISSN 1607-7970. . . 2011. 3 55
1
N
n
tf n f n n
t
. (8)
« n »- -
dtenfjF tj
t
t
k
k
n
n
1
1
1
n
k
n
t N
j t
k
nt
tf j f n n e dt
t
. (9)
, « » -
, 2k k T , nt n t , (9)
21
1
tnN j kt
T
k
n tn
tF j f n n e dt
t
2 21
12
k
N j k n t j kn t jT T
k
n
T f n e e F e
j k
.
(10)
k
mA k f t -
m
1
sin
m k k
m
k
f t A k t
2k
m kA F T , (11)
k – (10).
(
u t i t ) -
1
cos
m k k k
k
P U I , (12)
S Q – (5) (6), U I – -
, -
:
2 2
0 0
,
n n
k k
k k
U U I I . (13)
, [9],
- [8].
, UK u t , -
, -
o
U t -
o
U t :
o o
U U UK M U t U t M U t m U t m , 14)
Um – U t (
).
, IK
o
I t
o o
I I IK M I t I t M I t m I t m , (15)
Im – I t ( ).
56 ISSN 1607-7970. . . 2011. 3
[8, . 374],
M X t X t -
x T X t , .
0
1lim
T
X T
M X t m x x t dt
T
. (16)
, (16), (14) (15)
2
0 0 0 0
1 1 1 1 ,
T T T T
U U U U U UK U t m U t m dt U t U t dt U t m dt U t m dt m
T T T T
(17)
2
0 0 0
1 1 1T T T
I I I IK I t I t dt I t m dt I t m dt m
T T T
. (18)
, -
( u t i t ), . -
, 0 (17) (18)
2 2 2 2
0
0
1 T
U U UK U t dt m U m
T
, 2 2 2 2
0
0
1 T
I I IK I t dt m I m
T
, (19,20)
U I – ,
T .
(19) (20),
2 2
00U U I IS UI K m K m . (21)
(14)
o
U t
o
I t , :
o o
UI U IK M U t I t M U t m I t m
0 0 0 0
1 1 1 1T T T T
I U U IU t I t dt U t m dt I t m dt m m dt
T T T T
. (22)
, (15)
o
I t
o
U t ,
o o
IUK M I t U t . (23)
, 0 , (22) (23) -
, :
0
0
1 T
UI U IK U t I t dt m m
T
, 0
0
1 T
IU I UK I t U t dt m m
T
. (24,25)
, , , P
p t u t i t 0, T
0 0
1 1T T
P p t dt U t I t dt
T T
. (26)
ISSN 1607-7970. . . 2011. 3 57
(24) (25) (26) , -
P UIK
IUK 0
0 U IUIP K m m . (27)
, (6),
22 2
00 0U U I I UI U IQ K m K m K m m
22 2
0U U I I UI U ID m D m K m m , (28)
:
22 2
0
0
tg
U U I I UI U I
UI U I
D m D m K m m
K m m
, (29)
UD ID – .
(14) (29) , -
.
(28), -
, , , -
.
« » -
[5], ,
2 20
2 2
0
UI U I
a
U U
K m mPp t u t u t
U K m
; 20
2
0
,UI U I
a
U U
K m m
q t p t p t u t i t u t
K m
(30,31)
ap t p t q t u t i t . (32)
-
. -
, -
,
-
-
-
. 3).
U t -
339, -
1,5.
( 40/1), -
«+» « » .
I t
, -
2900
3100
3300
3500
3700
0 200 400 600 800 1000 1200 1400
t, .
U,
)
-1000
0
1000
2000
0 200 400 600 800 1000 1200 1400 t , .
I, A
)
. 3
58 ISSN 1607-7970. . . 2011. 3
3000 /75 . – 100…300 .
, , -
.
«
» ( 40 )
P , 1,613 1,612 1,613 1,644
Q , 1,590 1,588 1,590 1,620
S , 2,265 2,263 2,265 2,309
tg 0,986 0,985 0,986 0,971
.
1. -
. 2 %
.
2. -
-
, .
3.
, ,
. , , ,
-
6,62 9,93%.
1. . . . – .: . ,
1963. – 63 .
Viner N. New chapters of cybernetics. Management and communication in animal and machine. – Moskva:
Sovetskoe radio, 1963. – 63 p. (Rus.)
2. . . – .: . , 1977. – 608 .
Gonorovskii I.S. Circuits and signals of radio engineering. – Moskva: Sovetskoe radio, 1977. – 608 p. (Rus.)
3. . // . – , 2007. –
1. – C. 42–44.
Davidov B.I. About measuring losses in trolley line // Vestnik VNIIZhT. – Moskva, 2007. – 1. – P. 42–
44. (Rus.)
4. ., .
// . . . . “ ”. –
2008. – . 1. – . 61–66.
Denysiuk S.P., Kravtsov O.V. Accuracy rating of measuring components of electric energy in systems with
electric energy transducer // Tekhnichna elektrodynamika. Tematychnyi vypusk “Problemy suchasnoi elektrotekhniky”.
– 2008. – Vol. 1. – P. 61–66. (Ukr.)
5. , . //
e . – 2005. – 1. – . 97–100.
Kostin N.A., Sablin O.I. Power factor of electric rolling stock of direct current // Elektrotekhnika i elektrome-
khanika. – 2005. – 1. – P. 97–100. (Rus)
6. . 0007. .:
342 28.08.2003. – , 2003. – 37 .
Design procedure process losses in arrangements of power supply. CE 0007. Zatverdzheno: Nakaz Ukrzal-
iznytsi 342, 28.08.2003. – Kyiv, 2003. – 37 p. (Ukr.)
7. . // .
– , 1954. – . 2. – 152 .
Pukhov G.E. Introduction in theory method of points // Trudy Taganrogskogo radiotekhnicheskogo instituta. –
Taganrog, 1954. – Vol. 2. – 152 p. (Rus)
ISSN 1607-7970. . . 2011. 3 59
8. . . – .: , 1968. – 463 .
Sveshnikov A. A. Applied methods of theory of random numbers. – Moskva: Nauka, 1968. – 463 p. (Rus.)
9. ., ., ., ., ., .
. – .: . , 1992. – 312 .
Tonkal V.E., Novoseltsev A.V., Denisiuk S.P., Zhuikov V.Ya., Strelkov M.P., Yatsenko Yu.A. Energy balance in
electric circuits. – yiv: Naukova dumka, 1992. – 312 p. (Rus.)
10. . . – : ,
1966. – T.3. – 656 .
Fikhtengolts G.M. Course of differential and integral calculus. – Moskva: Nauka, 1966. – Vol.3. – 656 p.
(Rus.)
621.31
1, , 2,
1,2 – . . ,
. , 2, , 49010, .
.
, . o -
, ,
. , -
, . ,
10%. . 10, . 1, . 3.
: , , .
N.A.Kostin1, A.V.Petrov2,
1,2 Dnipropetrovsk National University of Railway Transport named after Academician V.Lazarian,
V.Lazarian str., 2, Dnipropetrovsk, 49010, Ukraine.
Methods of definition of components of total power in systems of electric propulsion
Ways of definition of components of total power in systems of electric propulsion are stated. Using the method of correla-
tion functions, the new approach to determination of these constituents is offered. The numeral calculations of active, inac-
tive and total power are executed, and also coefficient of inactive power has been calculated by three methods. The estima-
tion of relation of non-productive losses of active electric power to the reactive power conditioned flowing in a hauling
network, to consumed is resulted also. It is set that this index can exceed 10%. References 10, tables 1, figures 3.
Key words: inactive power, electric propulsion system, method of correlation functions.
16.09.2010
Received 16.09.2010
|
| id | nasplib_isofts_kiev_ua-123456789-61973 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0204-3599 |
| language | Russian |
| last_indexed | 2025-11-24T11:50:45Z |
| publishDate | 2011 |
| publisher | Інститут електродинаміки НАН України |
| record_format | dspace |
| spelling | Костин, Н.А. Петров, А.В. 2014-05-14T16:28:12Z 2014-05-14T16:28:12Z 2011 Методы определения составляющих полной мощности в системах электрической тяги / Н.А. Костин, А.В. Петров // Технічна електродинаміка. — 2011. — № 3. — С. 53-59— Бібліогр.: 10 назв. — pос. 0204-3599 https://nasplib.isofts.kiev.ua/handle/123456789/61973 621.31 Ways of definition of components of total power in systems of electric propulsion are stated. Using the method of correlation functions, the new approach to determination of these constituents is offered. The numeral calculations of active, inactive and total power are executed, and also coefficient of inactive power has been calculated by three methods. The estimation of relation of non-productive losses of active electric power to the reactive power conditioned flowing in a hauling network, to consumed is resulted also. It is set that this index can exceed 10%. ru Інститут електродинаміки НАН України Технічна електродинаміка Електроенергетичні системи та устаткування Методы определения составляющих полной мощности в системах электрической тяги Methods of definition of components of total power in systems of electric propulsion Article published earlier |
| spellingShingle | Методы определения составляющих полной мощности в системах электрической тяги Костин, Н.А. Петров, А.В. Електроенергетичні системи та устаткування |
| title | Методы определения составляющих полной мощности в системах электрической тяги |
| title_alt | Methods of definition of components of total power in systems of electric propulsion |
| title_full | Методы определения составляющих полной мощности в системах электрической тяги |
| title_fullStr | Методы определения составляющих полной мощности в системах электрической тяги |
| title_full_unstemmed | Методы определения составляющих полной мощности в системах электрической тяги |
| title_short | Методы определения составляющих полной мощности в системах электрической тяги |
| title_sort | методы определения составляющих полной мощности в системах электрической тяги |
| topic | Електроенергетичні системи та устаткування |
| topic_facet | Електроенергетичні системи та устаткування |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/61973 |
| work_keys_str_mv | AT kostinna metodyopredeleniâsostavlâûŝihpolnoimoŝnostivsistemahélektričeskoitâgi AT petrovav metodyopredeleniâsostavlâûŝihpolnoimoŝnostivsistemahélektričeskoitâgi AT kostinna methodsofdefinitionofcomponentsoftotalpowerinsystemsofelectricpropulsion AT petrovav methodsofdefinitionofcomponentsoftotalpowerinsystemsofelectricpropulsion |