Multi-Layer Ceramic Capacitor Electrode Area Optimization
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Solution Overview
Problem
Multi-layer ceramic capacitors face a trade-off between increasing the thickness of internal electrodes to enhance the Q factor in high frequency ranges, which reduces the number of laminated layers and capacitance, and the skin effect limits further improvement.
Innovation Solution
A multi-layer ceramic capacitor design with a ceramic body and alternately disposed internal electrodes, where the total area of the internal electrodes in cross-sections satisfies the relationship SE≥S/400+300, ensuring high electrical conductivity and reducing equivalent series resistance, thereby achieving a high Q factor.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the thickness of each internal electrode is made larger to improve Q factor in high frequency range, then the Q factor is improved, but the number of laminated layers is reduced which reduces capacitance
Solution Approach 1:
The patent changes the geometric parameters of internal electrodes by increasing their total cross-sectional area through optimized arrangement and dimensions. This parameter change allows the electrodes to have higher conductivity (improving Q factor) while maintaining sufficient number of laminated layers (preserving capacitance), resolving the contradiction between Q factor and capacitance.
2Reliability
If the thickness of internal electrodes is increased to improve Q factor, then electrical conductivity is improved, but the skin effect limits further improvement in Q factor
Solution Approach 1:
The patent transitions from increasing electrode thickness (one-dimensional approach) to increasing the total cross-sectional area of electrodes through optimized arrangement and dimensions (two-dimensional approach). This dimensional change allows current distribution that mitigates the skin effect limitation while improving electrical conductivity and Q factor.
3Reliability
If the total area of internal electrodes is increased to reduce equivalent series resistance, then Q factor is improved, but the area ratio optimization is required to maintain capacitance
Solution Approach 1:
The patent establishes specific parameter relationships (area ratio between internal electrodes and ceramic body) that simultaneously achieve low equivalent series resistance (high Q factor) and maintained capacitance. By defining optimal parameter ranges, the patent simplifies the design process while resolving the contradiction between Q factor improvement and capacitance maintenance.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The design effectively increases the Q factor while maintaining capacitance by optimizing the area ratio of internal electrodes to the ceramic body, reducing equivalent series resistance and enhancing bonding strength, thus providing stable performance in high frequency ranges.
Implementation Method 1
electrical conduction in the vicinity of the surfaces of the internal electrodes becomes dominant due to the skin effect
Implementation Method 2
multi-layer ceramic capacitor including internal electrodes whose thicknesses are made larger to achieve improvement in Q factor
Data Source
AI summary
A multi-layer ceramic capacitor includes: a ceramic body including ceramic layers laminated along one axial direction, first and second internal electrodes alternately disposed between the ceramic layers, first and second end surfaces to which the first and second internal electrodes are respectively drawn, a first end margin that forms an interval between the first end surface and the second internal electrodes, and a second end margin that forms an interval between the second end surface and the first internal electrodes; and first and second external electrodes that respectively cover the first and second end surfaces and are respectively connected to the first and second internal electrodes, the multi-layer ceramic capacitor satisfying the following relationship: SE≥S/400+300, where S (μm) represents an area of the ceramic body and SE (μm) represents a total area of the first and second internal electrodes in cross sections of the first and second end margins.