Stability & Miller Compensation (3): A Design Example

Stability & Miller Compensation (3): A Design Example

🎙 Vincent Chang 👥 2K 📅 June 19, 2022 ⏱ 17 min 👁 181 📄 tutorial 🧭 2026-08-17
Available in: English (current) Français

Keywords

Miller compensationstabilityphase marginpole frequencyvoltage follower

Summary

This lecture, part of a series on stability and Miller compensation, presents a design example for a three-stage amplifier. The instructor, Vincent Chang, begins by reviewing the transfer function of a Miller-compensated second stage, highlighting the two poles and one zero. He then introduces a specific design problem: a three-stage amplifier with given component values (R1, C1, R2, C2, gm) that is to be configured as a unity-gain voltage follower. The uncompensated amplifier has three poles at 10^5, 10^6, and 10^7 rad/s, leading to instability when feedback is applied. The objective is to determine the value of the compensation capacitor (Cc) to achieve a 45-degree phase margin. The instructor outlines the steps: first, calculate the uncompensated pole frequencies; second, derive the new pole frequencies after compensation using the dominant-pole approximation; third, solve for Cc. He notes that there are three unknowns (Cc, ωp1’, ωp2’) but only two equations, leaving a challenge for the student to resolve. The lecture emphasizes the logic and design reasoning rather than full calculations, which are assigned as homework.

173 words

Critical Evaluation

Value of the Information & Strength of the Argument

The lecture provides a clear, step-by-step approach to a practical design problem, which is valuable for students learning analog IC design. The argumentation is logical: it establishes the need for compensation by showing the uncompensated amplifier’s instability, then introduces the compensation technique and outlines the solution method. The instructor effectively uses a concrete example with specific numbers, making the concepts tangible. However, the lecture is incomplete by design, as it leaves the final calculation to the student, which may be frustrating for viewers seeking a complete solution. The reasoning is sound and aligns with standard textbook treatments of Miller compensation.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is high: the instructor is an experienced professional, and the content follows established principles of analog circuit design. No external sources are cited, but the lecture is based on well-known theory. The title accurately reflects the content, and the video is well-structured. The lack of references is typical for a tutorial, but it limits the ability to verify specific claims. The description provides background on the instructor’s credentials, adding credibility. Overall, the content is reliable for educational purposes.

196 words

Title / Content Match

The title accurately reflects the content: a design example for Miller compensation in the context of stability.

Quality & Reliability

8/10

The lecture is delivered by an experienced instructor (Ph.D. in EE) and follows a logical pedagogical structure. It presents a design example with clear objectives and equations, though it does not provide full derivations or external references. The content is consistent with standard analog IC design principles.

Key Moments

Contribution & Novelties

This lecture provides a practical design example that bridges theory and application, showing how to apply Miller compensation to achieve a target phase margin. It emphasizes the design reasoning and problem-solving approach, which is valuable for students. The lecture does not introduce new research but serves as an educational resource.

Pour aller plus loin :

  • Miller effect — Explains the Miller effect, which is fundamental to Miller compensation.
  • Frequency compensation — Overview of frequency compensation techniques in amplifiers.
  • Phase margin — Definition and importance of phase margin in feedback systems.

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Radar Profile

The radar profile shows high scores in quality, technical level, and reliability, with a slightly lower score in quantity, reflecting the focused but incomplete nature of the lecture. The overall balance indicates a solid educational resource.

Reliability 8/10