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LLC Resonant Half-Bridge Converter Resonant Frequencies (f_r, f_m) & Peak Gain Calculator

Easily calculate and compute llc resonant half-bridge converter resonant frequencies (f_r, f_m) & peak gain calculator with accurate equations, live formulas, and expert guidance.

Series resonant tank inductance.

Parallel magnetizing inductance of power transformer.

Series resonant capacitor value.

Primary-referred First Harmonic Approximation (FHA) load.

Calculated Result
186.8 kHz

Series Resonant Frequency (f_r)

Series Resonant Frequency (f_r)

186.8 kHz

Series Resonant Freq Fr K Hz

186.8

Lower Resonant Freq Fm K Hz

76.3

Inductance Ratio K

5

Characteristic Impedance Z0 Ohms

25.8

186.8 — kHz

Calculation Breakdown

  1. Applied FormulaCalculates the dual resonant frequencies (series fr and magnetizing fm), characteristic impedance, tank Q-factor, and FHA voltage gain curves for LLC resonant converters.f_r = \frac{1}{2\pi\sqrt{L_r C_r}}, \quad k = \frac{L_m}{L_r}, \quad M(f_n, Q, k) = \frac{1}{\sqrt{\left(1 + \frac{1}{k} - \frac{1}{k f_n^2}\right)^2 + Q^2\left(f_n - \frac{1}{f_n}\right)^2}}

LLC Resonant Gain & Frequencies Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04793140187Series Resonant Frequency (f_r)

What Is the LLC Resonant Half-Bridge Converter Resonant Frequencies (f_r, f_m) & Peak Gain Calculator?

This tool computes llc resonant half-bridge converter resonant frequencies (f_r, f_m) & peak gain calculator with high precision arithmetic.

How Does the LLC Resonant Half-Bridge Converter Resonant Frequencies (f_r, f_m) & Peak Gain Calculator Work?

Calculates the dual resonant frequencies (series fr and magnetizing fm), characteristic impedance, tank Q-factor, and FHA voltage gain curves for LLC resonant converters.

LLC Resonant Half-Bridge Converter Resonant Frequencies (f_r, f_m) & Peak Gain Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

fr=12πLrCr,k=LmLr,M(fn,Q,k)=1(1+1k−1kfn2)2+Q2(fn−1fn)2f_r = \frac{1}{2\pi\sqrt{L_r C_r}}, \quad k = \frac{L_m}{L_r}, \quad M(f_n, Q, k) = \frac{1}{\sqrt{\left(1 + \frac{1}{k} - \frac{1}{k f_n^2}\right)^2 + Q^2\left(f_n - \frac{1}{f_n}\right)^2}}

Calculates the dual resonant frequencies (series fr and magnetizing fm), characteristic impedance, tank Q-factor, and FHA voltage gain curves for LLC resonant converters.

How to Use the LLC Resonant Half-Bridge Converter Resonant Frequencies (f_r, f_m) & Peak Gain Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

LLC Resonant Half-Bridge Converter Resonant Frequencies (f_r, f_m) & Peak Gain Calculator Example

Input Values:

resonantInductanceLrUH:22
magnetizingInductanceLmUH:110
resonantCapacitanceCrNF:33
equivalentAcLoadResistanceRac:25
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kHz.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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