跳转至

理解负电阻

文章背景与核心概要

本文探讨了模拟电子学中一个反直觉的概念——“负电阻”。传统的电阻遵循欧姆定律(\(I = V/R\)),而负电阻则描述了电流与电压关系违背传统预期的电路。文章区分了“真正的”负电阻(这需要外部电源才能运作)以及“负微分电阻”(这是一种电路的 \(V-I\) 曲线呈现向下斜率或“折返”的现象,常见于结型场效应管(JFET)或晶体管等专用组件中)。

通过本文,读者可以深入了解负电阻的物理本质、如何利用运放构建真正的负电阻转换器,以及负微分电阻(如厄米特/Lambda二极管和水平回跳现象)在实际电路中的表现与应用。


Defining Resistance

电阻(\(R\))是对稳定电流流动的阻碍。在纯电阻组件中,电压(\(V\))与电流(\(I\))之间的关系是线性的,由 \(I = V/R\) 定义。

Defining Resistance

Resistance (\(R\)) is the opposition to the flow of steady current. In a purely resistive component, the relationship between voltage (\(V\)) and current (\(I\)) is linear, defined by \(I = V/R\).

Resistor I = V/R plots for R = 0.2, 1, and 5 Ω.

对于二极管等非线性组件,我们使用微分电阻,它用于模拟在特定偏置点附近对小信号偏差(\(\Delta v / \Delta i\))的响应,而不是组件的体电阻。

For non-linear components like diodes, we use differential resistance, which models the response to small signal deviations (\(\Delta v / \Delta i\)) around a specific bias point rather than the bulk resistance of the component.


True Negative Resistance

理论上,“负阻器件”(具有 \(R < 0\) 的组件)会产生与所加电压方向相反的电流。然而,由于功率耗散定义为 \(P = V^2 / R\),负电阻意味着该组件正在产生能量。

True Negative Resistance

A "negistor" (a component with \(R < 0\)) would theoretically produce current in the opposite direction of the applied voltage. However, because power dissipation is defined as \(P = V^2 / R\), a negative resistance would imply the component is generating energy.

真正的负电阻只能通过使用有源电路(例如运算放大器配置)将能量反馈回信号源来达到。

True negative resistance can only be achieved by using an active circuit (such as an op-amp configuration) to feed energy back into the signal source.

Negative resistance converter.

通过使用具有特定增益的运算放大器,我们可以创建一个在信号源和地之间充当负电阻的电路。

By using an op-amp with a specific gain, we can create a circuit that acts as a negative resistor between the signal source and ground.

Circuit behavior. Dashed line is the ideal behavior of -220 Ω.


Negative Differential Resistance (NDR)

“负电阻”的大多数实际应用都是指负微分电阻(NDR)。当 \(V-I\) 曲线具有负斜率区段时,就会出现这种情况,这意味着在特定范围内,电压的增加会导致电流的减少。

Negative Differential Resistance (NDR)

Most practical applications of "negative resistance" refer to Negative Differential Resistance (NDR). This occurs when a \(V-I\) curve has a section with a negative slope, meaning that within a specific range, an increase in voltage leads to a decrease in current.

The Lambda Diode

NDR 的一个经典例子是“Lambda 二极管”,这是一种由两个互补型 JFET 构成的电路。

The Lambda Diode

A classic example of NDR is the "lambda diode," a circuit constructed from two complementary JFETs.

Negative differential resistance with JFETs.

在这种配置下,晶体管的偏置使得它们在输入电压增加时开始截止,从而导致电流急剧下降。

In this configuration, the transistors are biased such that they begin to cut off as the input voltage increases, resulting in a sharp decrease in current.

Current through the J111-J175 lambda diode.

Horizontal Snapback

NDR 的另一种形式是“回跳(Snapback)”,一旦跨越特定的阈值,电路就会在更低的电压下维持更高的电流。这种行为常见于双极型晶体管,它不同于垂直折返式 NDR,因为它允许多个电流水平存在于单个电压点。

Horizontal Snapback

Another form of NDR is "snapback," where a circuit sustains higher currents at lower voltages once a specific threshold is crossed. This behavior is often observed in bipolar transistors and is distinct from the vertical-kink NDR, as it allows multiple current levels to exist at a single voltage point.

Negative differential resistance via horizontal snapback.