特性阻抗和静电电容
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1. 特性阻抗:Z0〔Ω〕和静电电容:C〔pF/m〕
a静电电容和特性阻抗成反比关系
(同轴电缆的实际测量例:参照下表)
一般同一绝缘体材料时,Z0决定于导体直径(d)和绝缘体外径(D)之比(D/d)。1. Impedance (Z0), Capacitance (C)
1)Impedance & Capacitance have an inverse proportion
relationship. (An example data on coaxial cable is illustrated below).
Fundamentally, if the insulating material is exactly the same, the ratio of Z0to C is determined by the diameter of
s Z0
Z0在频率大约为10MHz以上时趋于稳定。对于同轴电缆规定10MHz时的Z0,对于同轴之外的其它电缆,定义频率或测量法后规定Z0。Z0is stable when frequency gets to about 10 MHz & over. Coaxial cable regulates the Z0at 10 MHz, & cables other than coaxial regulate the Z0by defining frequency or measurement method.
d与介电常数( ε )的关系
除D/d、频率外,决定Z0和C的要素还有介电常数( ε )。这取决于绝缘体材料。
导体为同一时,ε 和Z0、C的关系如q、w。
q绝缘体外径不变,缩小ε时,
→C变小,Z0增大
(即可不改变结构尺寸地改变C和Z0)
w C和Z0不变,缩小ε 时,
→绝缘体外径变小
(即可不改变C和Z0地缩小外径)
一般来说PVC是受频率和温度影响ε 大幅度变化的绝缘材
料。因此,对Z0等电气特性的要求高时,应使用聚烯烃类、氟化乙烯树脂类等ε稳定的绝缘体材料。3)The relationship of dielectric contact (ε).
Another factor for determining Z0& C, besides D/d & frequency is dielectric contact (ε).
This is determined according to the insulating material.
q&w below show the relationship between ε, Z0& C when the conductors used are same size.
q When the external diameter of the insulating body is not changed & εis made smaller
→ C becomes smaller & Z0becomes bigger.
(In other words : without changing the size of the
structure, C & Z0can be changed.)
w When C & Z0are not changed, & εis made smaller
→the external diameter of the insulating body
becomes smaller.
(In other words : without changing C & Z0, the
external diameter of the insulating body can be
made smaller.)
In general PVC is an insulating material where unfortunately εexperiences large scale changes, according to frequency & temperature. Because of this, when electrical properties of Z0etc, are demanded polyoefin & fluorocarbon polymers etc. are used in the insulating material to stabilize ε.
〔补充说明:同轴电缆之外的Z0和C〕
即便是同一电缆,接线方法(信号传输方式)不同,Z0和C也大不相同。
(阻抗匹配电缆的实际测量例:参照下表)[Additional information on the Z0& C in cable other than coaxial cable.]
Even if the cable is the same, Z0and C can be very different by wiring.
(An example of a survey on impedance matching cable is illustrated below).
·不平衡接线:
测量信号线以外的接地线(单对)及屏蔽一并接地。
测量接地〜测量信号线芯之间。
·平衡接线:
测量信号线以外均为开路。测量线对之间。
两者的关系大致如下式所示。
[不平衡接线Z0] × 1.4~1.6 Լ [平衡接线Z0]
2. 延迟时间:Td [ns/m]
如果没有绝缘体(导体伸展于空中) ,信号将以光速传输。
但是,电线中有绝缘体,所以信号不是以光速来传输。(介电常数:ε的影响)
在电线中,信号传输的时间称为延迟时间。
ε和Td的关系如下表所示。
但除特殊用途之外,Td的绝对值不会成为问题。
·Unbalanced wiring : All GND wires, with the exception of the measured signal wire, & the shield are bundled together to earth. Measurement is between earth & the measured signal wire.
·Balanced wiring : With the exception of the measured signal pair, everything is open. Measurement is between pairs.
The relationship of both of the above is approximately shown in the equation below :
[Unbalanced wiring Z0] × 1.4~1.6
Լ[Balanced wiring Z0]
2. Time delay : Td [ns/m]
If there is no insulating body (when the conductor is an overhead cable - stretched up in the air) the signal is transmitted at light velocity. However, when the cable is insulated, the signal is not transmitted at light velocity.
(Dielectric contact : εinfluence).
The time taken for the cable to transmit the signal is called the ‘time delay’ (Td.)
The relationship between this ε& Td is as below :
But, except in particular uses, the absolute value of Td is not
a problem.
εTd 大小
大小
ε
Td big small
big small