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To Simplify Or Not To Simplify? Take Care When Using Math Tools For Circuit Analysis

by Gregory Mirsky, Continental Automotive Systems, Deer Park, Ill. , How2Power Today, Mar 21 2018

Focus:
Occasionally when designing control systems we encounter situations where different mathematical transfer function representations of the same system may produce dramatically different results. For example, we obtain a control loop frequency response that can be mathematically described by two formulas, one of which is a simplified version produced by math analysis software, but the graphical interpretations of these functions are different. For example, there is a big class of circuits called non-minimum-phase circuits, which have a phase-frequency response that is not minimal for a corresponding amplitude response. Circuits with the right-half-plane zero (RHPZ) belong to this class of circuits and in this article, the author uses one of these circuits to highlight the pitfalls of using a math tool to analyze a circuit transfer function.

What you’ll learn:

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