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Parallel Resonance

Parallel Resonance

The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:

Design Example: Underdamped Parallel RLC Circuit

Design Example: Underdamped Parallel RLC Circuit

Consider designing an oscillator circuit, a crucial component in various electronic devices and systems. The objective is to create an oscillator circuit with specific characteristics: a damped natural frequency of 4 kHz and a damping factor of 4 radians per second. To accomplish this, a parallel RLC circuit is employed, known for its ability to sustain oscillations at a resonant frequency. In this case, the damping factor is pivotal in achieving the desired performance.
Starting with a fixed...

Characteristics of Series Resonant Circuit

Characteristics of Series Resonant Circuit

Series resonance occurs in a circuit containing inductive (L), capacitive (C), and resistive (R) elements connected sequentially. At the resonance frequency, the inductive and capacitive reactances are equal in magnitude but opposite in sign, effectively canceling each other. This causes the circuit's impedance is minimal, primarily determined by the resistance R. The resonant frequency of an RLC circuit is defined as:

Series Resonance

Series Resonance

The RLC circuit impedance is defined as the ratio of the supply voltage to the circuit current. Resonance in such a circuit occurs when the imaginary part of this impedance equals zero. This specific condition means that the inductive reactance is exactly equal to the capacitive reactance. The frequency at which this happens is known as the resonant frequency. Mathematically, the resonant frequency is inversely proportional to the square root of the product of the inductance (L) and capacitance...

Oscillations In An LC Circuit

Oscillations In An LC Circuit

An idealized LC circuit of zero resistance can oscillate without any source of emf by shifting the energy stored in the circuit between the electric and magnetic fields. In such an LC circuit, if the capacitor contains a charge q before the switch is closed, then all the energy of the circuit is initially stored in the electric field of the capacitor. This energy is given by

Parallel RLC Circuits

Parallel RLC Circuits

Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
A simplified parallel RLC circuit model with a DC input source generating a step response is employed in this context. When the switch is turned on, Kirchhoff's current law is applied, leading to a second-order differential equation.

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Fabrication and Characterization of Superconducting Resonators

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Un FSS miniaturizado que utiliza el resonante LC paralelo con estabilidad angular

Chao Sun¹, Guangyi Heng², Yuhang Zou²

¹The National Key Laboratory of Complex Aviation System Simulation, Southeast China Institute of Electronic Technology, Chengdu 610036, China.

Sensors (Basel, Switzerland)

|August 28, 2025

Resumen

Este resumen es generado por máquina.

Este estudio introduce una superficie compacta y simétrica de frecuencia selectiva (FSS) utilizando resonancia paralela LC. El diseño optimizado mejora la eficiencia de transmisión para las estaciones base, incluso en ángulos grandes.

Palabras clave:

Resonador de LC circuitos equivalentes superficie selectiva por frecuencia

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Área de la Ciencia:

Electromagnetismo y Física Aplicada
Ciencias de los materiales e ingeniería

Sus antecedentes:

Las superficies selectivas de frecuencia (FSS) son cruciales para filtrar las ondas electromagnéticas.
La optimización de FSS para la miniaturización, el rendimiento de gran ángulo y la compatibilidad de múltiples bandas sigue siendo un desafío.

Objetivo del estudio:

Diseñar y validar un FSS miniaturizado altamente simétrico con características mejoradas de banda de paso de alta frecuencia.
Mejorar la eficiencia de transmisión bajo incidencia de ángulo grande para aplicaciones de estaciones base.

Principales métodos:

Utilizó la resonancia paralela LC y la optimización del diseño sinuoso para la miniaturización.
Se emplean técnicas de flexión de células y manipulación estructural de la capacitancia efectiva.
Configuraciones co-planas y hetero-planas investigadas para el desplazamiento de la frecuencia de resonancia.

Principales resultados:

Se alcanzan picos de reflexión y transmisión a aproximadamente 1,56 GHz y 1,94 GHz.
Frecuencia de resonancia de reflexión desplazada más allá de 0,7 GHz manteniendo la estabilidad de la banda de paso.
Transmisión estable demostrada (reducción de ganancia ≤ 1,2 dB) en la banda de 1,71-2,2 GHz para ángulos de incidencia de hasta 60°.

Conclusiones:

El FSS de una sola capa propuesto ofrece una huella compacta (0,134λ × 0,134λ) y una estructura simple.
El FSS exhibe una respuesta angular estable y características de polarización única mejoradas.
El diseño muestra un potencial significativo para aplicaciones de estaciones base compatibles con múltiples bandas y eficientes desde el punto de vista espacial.