tribute-中国国籍
TRANSFORMER
变压器
Key words
:
transformer; loss; principles and applications
关键词:变压器;损耗;原理与应用
Abstract
摘要
Power plant and substation transformer
is one of the Power plant and
substation’
s main equipment.
The role is multifaceted transformer not
only
can
increase
the
voltage
to
the
power
consumption
area,
but
also
the
voltage
is
reduced
to
levels
of
use
of
voltage,
in
order
to
meet
electricity needs. In short, the boost
and back must be done by the
transformer.
Transmission
power
in
the
power
system
in
the
process
would
have a loss of voltage and power of two
parts, the transmission
(传输)
loss
of
the
same
power
and
voltage
when
the
voltage
is
inversely
proportional
(成反比)
to the power loss is
inversely proportional to
the square of
the voltage. Use of transformers increase the
voltage,
reduced
power
transmission
losses.
In
this
article,
we
discuss
the
principles and applications of power
transformers.
发电和配电变压器是发
电厂和变电站的主要设备之一。
它是一种多方面的变
压器,
p>
不仅可以提高电压输送到能耗区域,
而且可以降低为各级使用电压以
满足
用电需求。
简而言之,
提高和降低
都必须由变压器完成。
电力系统在输送功率的
过程中将会有电压
和功率两个部分的损耗,
在传输相同的功率,
电压损耗和电压<
/p>
成反比,
功率损耗与电压的平方成反比。
利用变压器提高电压降低在传输过程中
的功率损耗。在本文中,我们讨论电力变压器的原
理和应用。
1.
INTRODUCTION
介绍
The high-voltage transmission was need
for the case electrical power is
to
be
provided
at
considerable
distance
from
a
generating
station.
At
some
point
this
high
voltage
must
be
reduced,
because
ultimately
is
must
supply
a
load. The transformer makes it possible for
various parts of a power
system to
operate at different voltage levels.
一个远距离的发电厂提供电能需要用高压传输。
在某些程度上这
样的高电压
必须降低,
因为最终必须提供一个负载。
变压器使电力系统的不同部分运行在不
同的电压等级下。
< br>
2. TOW-WINDING TRANSFORMERS
双绕组变压器
A
transformer in its simplest form consists of two
stationary coils
coupled by a mutual
magnetic flux. The coils are said to be mutually
coupled because they link a common
flux.
最简形式的变压器包括两个磁通相互耦合的固定线圈。
线圈之所以相互耦合
是因为他们有共同的磁通。
In power applications, laminated steel
core transformers (to which
this paper
is restricted) are used. Transformers are
efficient because
the
rotational
losses
normally
associated
with
rotating
machine
are
absent, so relatively little power is
lost when transforming power from
one
voltage level to another. Typical efficiencies are
in the range 92
to 99%, the higher
values applying to the larger power transformers.
在电力的应用中,
层式铁芯变压器被使用。
变压器是高效的,
旋转的机器通
常没有旋转的损失,
因此从一个电压级到另一个电压级的能量传输的能量损失相
对较少。典
型效率的范围是
92%-99%
,上限值适用于大功率变压器。
The
current
flowing
(电流)
in
the
coil
(线圈)
connected
to
the
ac
source is called the
primary winding or simply the primary. It sets up
the flux
φ
in the
core, which varies
periodically both in magnitude and
direction. The flux links the second
coil, called the secondary winding
or
simply
secondary.
The
flux
is
changing;
therefore,
it
induces
a
voltage
in
the
secondary
by
electromagnetic
induction
in
accordance
with
Lenz’s
law.
Thus
the
primary
receives
its
power
from
the
source
while
the
secondary
supplies
this
power
to
the
load.
This
action
is
known
as
transformer action.
从交流电源流入电流的一侧被称为变压器的一次侧绕组或者是
原边。它在
铁圈中建立了磁通
φ
,它的
幅值和方向都会发生周期性的变化。磁通连接的第二
个绕组被称为变压器的二次侧绕组或
者是副边。
磁通是变化的,
因此根据楞次定
律,
电磁感应
在二次侧产生了电压。
原边从变压器接收电能的同时也在向副边所
带的负荷输送电能。这就是变压器的作用。
3. TRANSFORMER PRINCIPLES
变压器的工作原理
When a
sinusoidal voltage Vp is applied to the primary
with the
secondary
open-
circuited,
there
will
be
no
energy
transfer.
The
impressed
voltage causes a
small current I
θ
to flow in
the primary winding. This
no-load
current has two functions: (1) it produces the
magnetic flux in
the core, which varies
sinusoidally between zero and
?
φ
m,
where
φ
m
is the
maximum value of the core flux; (2)and it
provides a component
to account for the
hysteresis
and
eddy current losses
in the
core. There
combined losses are
normally referred to as the core losses.
正弦电压
V
p
作用于原边,并且二
次侧开路,此时是没有能量转移的。外加
电压产生一个小电流
I
θ
流入一次侧绕组中。这个空载电流
有两项功能:
(
1
)在
铁芯中产生电磁通,该磁通在零和
?
φ
m
之间做正弦变化,
φ
m
p>
是铁芯磁通的最大
值;
(
< br>2
)
它的一个分量说明了铁芯中的
涡流
和
磁滞损耗
。
< br>这两种相关的损耗通常
被称为铁芯损耗。
The
no-load
current
I
?
is
usually
few
percent
of
the
rated
full-load
current of the transformer
(about
2 to
5%).
Since at no-load the primary
winding
acts
as
a
large
reactance
due
to
the
iron
core,
the
no-load
current
will lag the primary voltage by nearly
90?. It is readily seen that the
current component
I
m
= I
0
sinθ
0
, called the
magnetizing current, is 90?
in
phase
behind the primary
voltage
V
P
. It is
this component that sets up
the flux in
the core;
φ
is therefore in
phase with Im.
空载电流
I
< br>?
通常是满载电流的
2%
—
p>
5%
。
因为在空载时,
因为铁芯原边绕组
相当于一个很大的电抗,空载电流的相位将滞后于原边电压的相位
90?
左右。显
然可见电流分量
I
m
=
I
0
sinθ
0
,被称做
励磁电流,它在
相位
上滞后于原边电压
V
P
90?
。就是这个分量在铁芯中建立了磁通,因此磁通
φ
与
I
m
在相位上相一致。
The second component,
Ie=I0sin
θ
0, is
in
phase with the primary
voltage. It is
the current component that supplies the core
losses. The
phasor sum of these two
components represents the no-load current, or
I0 = Im+ Ie
It
should
be
noted
that
the
no-load
current
is
distortes
and
nonsinusoidal.
This is the
result of the nonlinear behavior of the core
material.
第二个分量
I
e
=I
0
sinθ
0
与原边电压同相位。这个电流分量提供铁芯损耗。
两个分量的相量和代表空载电流,即
I
0
=
I
m
+ I
e
应注意的是空载电流是畸变和非正弦形的。这种情况是非线性铁芯材料造成的。
If it is assumed that there are no
other losses in the transformer,
the
induced voltage In the primary Ep and that in the
secondary Es can
be shown. Since the
magnetic flux set up by the primary
winding
,
there
will
be
an
induced
E
in
the
secondary
winding
in
accordance
with
Faraday’s
law,
namely,
E=N
Δ
φ
/
Δ
t.
This
same
flux
also
links
the
primary
itself,
inducing
in
it
an Ep.
As
discussed
earlier,
the
induced
voltage
must lag the flux by
90?, therefore, they are 180? out of phase with
the
applied
voltage.
Since
no
current
flows
in
the
secondary
winding,
Es=Vs.
The no-load primary
current
I
0
is
small, a few percent of full-load
current. Thus the voltage in the
primary is small and Vp is nearly equal
to Ep. The primary voltage and the
resulting flux are sinusoidal; thus
the
induced
quantities
Ep
and
Es
vary
as
a
sine
function.
The
average
value
of the induced voltage given by
如果假定变压器中没有其他损耗,一次侧的感应电压
E
p
和二次侧的感应电
压
E
s
可以表示出来。因为一次侧绕组产生的磁通会在二次侧绕组中产生一个电<
/p>
动势
E
,依据法拉第电磁感应定律即
p>
E=NΔφ/Δt
。相同的磁通在原边自身产生一
< br>个电动势
E
p
。正如前面所提到
的,产生的电压必定滞后于磁通
90?
,因此,它与
提供的电压有
180?
的相位差。因为没有电流流
过二次侧绕组,
E
s
=V
s
。一次侧空
载电流
I
p>
0
很小,仅占满载电流的一小部分。因此原边电压很小,并且
V
p
的值几
乎等于<
/p>
E
p
。原边的电压和它产生的磁通波形是
正弦形的;因此产生的电动势
E
p
和<
/p>
E
s
的值也是做相应的变化。产生电压的
平均值如下
给定时间内磁通变化量
E
avg
= turns×
给定时间
change
in
flux
in
a
given
time
given
time
Eavg =
turns×
which
is
Faraday’s
law
applied
t
o
a
finite
time
interval.
It
follows
that
这是法拉第定律在短时间间隔中的应用,它遵循
E
avg
=
N
2
?
m
=
4fNφ
m
1/(2
f
)
which N is
the number of turns on the winding. Form ac
circuit theory,
the effective voltage
for
a sine
wave
is 1.11 times the average voltage;
thus
其中
N
是指线圈的匝数。从交流电原理可知,有效值是一个正弦波,其值为平
均电压的
p>
1.11
倍;因此
E = 4.44fN
φ
m
Since the same flux links with the
primary and secondary windings, the
voltage per turn in each winding is the
same. Hence
因为一次侧绕组和二次侧绕组的磁通相等,
< br>所以绕组中每匝的电压也相同。
因此
Ep = 4.44fNp
φ
m
And
并且
Es =
4.44fNs
φ
m
where
Ep
and
Es
are
the
number
of
turn
on
the
primary
and
secondary
windings,
respectively.
The
ratio
of
primary
to
secondary
induced
voltage
is
called
the
transformation ratio. Denoting this ratio by a, it
is seen that
其中
E
p
和
E
s
是一次
侧绕组和二次侧绕组的
匝数
。一次侧到二次侧产生电压的比
p>
例称做变比。用字母
a
来表示这个比例,如
下式