steady-state gain

简明释义

稳态增益

英英释义

例句

1.The system's steady-state gain indicates how much the output will change for a given change in input after all transients have settled.

系统的稳态增益指的是在所有瞬态都已稳定后，输出将如何随输入的变化而变化。

2.The steady-state gain of the amplifier was measured to ensure optimal performance in audio applications.

放大器的稳态增益被测量以确保在音频应用中的最佳性能。

3.During the experiment, we calculated the steady-state gain to analyze the system's long-term behavior.

在实验过程中，我们计算了稳态增益以分析系统的长期行为。

4.In control theory, understanding the steady-state gain is crucial for designing effective feedback loops.

在控制理论中，理解稳态增益对设计有效的反馈回路至关重要。

5.A high steady-state gain can lead to overshooting in control systems, which must be managed carefully.

高稳态增益可能导致控制系统中的超调，这必须谨慎管理。

作文

In the field of control systems and signal processing, the term steady-state gain refers to the ratio of the output to the input of a system when it has reached a stable condition after any transient effects have dissipated. Understanding this concept is crucial for engineers and scientists who design and analyze systems that must maintain a desired performance over time. The steady-state gain provides valuable insights into how effectively a system can respond to inputs and how it behaves under normal operating conditions.For instance, consider a simple electrical circuit with a resistor and a capacitor. When an input voltage is applied, the circuit does not immediately reach a new steady state; instead, it undergoes a transient phase where the voltage across the capacitor gradually increases. After some time, the circuit will settle into a steady-state gain, where the output voltage stabilizes relative to the input voltage. This gain is essential for predicting how the circuit will perform in real-world applications.Moreover, the steady-state gain can be influenced by various factors such as component values, feedback mechanisms, and external disturbances. Engineers often use this information to optimize system performance, ensuring that it operates efficiently and reliably. For example, in a temperature control system, the steady-state gain can determine how quickly and accurately the system reaches the desired temperature setpoint.In addition to its application in electrical engineering, the concept of steady-state gain is also relevant in other fields such as mechanical engineering, chemical engineering, and economics. In each of these domains, understanding the steady-state gain allows professionals to model and predict the behavior of complex systems. For instance, in economic models, the steady-state gain can represent the long-term growth rate of an economy in response to changes in policy or external shocks.Furthermore, in control theory, the steady-state gain is a key parameter in the design of controllers. It helps engineers determine the appropriate settings for proportional, integral, and derivative gains in PID controllers, which are widely used in industrial automation. By analyzing the steady-state gain, engineers can ensure that the system remains stable and responsive to changes in input without oscillations or overshoot.In conclusion, the concept of steady-state gain is fundamental in various engineering and scientific disciplines. It provides a clear measure of how a system responds to inputs over time, allowing for better design, analysis, and optimization of systems. As technology continues to advance, the importance of understanding steady-state gain will only grow, making it an essential topic for students and professionals alike. By mastering this concept, individuals can contribute to the development of more efficient and effective systems across a wide range of applications.

在控制系统和信号处理领域，术语稳态增益指的是系统在经历任何瞬态效应后达到稳定状态时输出与输入的比率。理解这个概念对于设计和分析必须在时间上保持所需性能的系统的工程师和科学家至关重要。稳态增益提供了有关系统如何有效响应输入以及在正常操作条件下的行为的重要见解。例如，考虑一个简单的电路，其中有一个电阻器和一个电容器。当施加输入电压时，电路不会立即达到新的稳态；相反，它经历一个瞬态阶段，在此期间电容器上的电压逐渐增加。经过一段时间，电路将稳定在一个稳态增益，其中输出电压相对于输入电压稳定。这种增益对于预测电路在现实应用中的表现至关重要。此外，稳态增益可以受到各种因素的影响，例如组件值、反馈机制和外部干扰。工程师通常使用这些信息来优化系统性能，确保其高效和可靠地运行。例如，在温度控制系统中，稳态增益可以确定系统达到所需温度设定点的速度和准确性。除了在电气工程中的应用外，稳态增益的概念在机械工程、化学工程和经济学等其他领域也具有相关性。在每个领域，理解稳态增益使专业人士能够建模和预测复杂系统的行为。例如，在经济模型中，稳态增益可以表示经济在政策变化或外部冲击下的长期增长率。此外，在控制理论中，稳态增益是控制器设计中的一个关键参数。它帮助工程师确定PID控制器中比例、积分和微分增益的适当设置，这些控制器广泛用于工业自动化。通过分析稳态增益，工程师可以确保系统在输入变化时保持稳定并对变化做出响应，而不会出现振荡或超调现象。总之，稳态增益的概念在各个工程和科学学科中都是基础性的。它提供了系统随时间对输入响应的清晰度量，从而可以更好地设计、分析和优化系统。随着技术的不断进步，理解稳态增益的重要性只会增加，使其成为学生和专业人士必不可少的话题。通过掌握这一概念，个人可以为开发更高效、更有效的系统作出贡献，涵盖广泛的应用领域。