Name: ac circuit node method in an angioplasty model
Uploaded: 2024-04-11T12:48:49.000Z
Duration: 1 min 14 s
Channel: JoVE

Nel sistema di angioplastica rotablatore, la turbina provoca la rotazione della fresa del catetere, che aiuta a rimuovere i depositi di placca dalle arterie coronarie.
Il circuito operativo e di controllo di questo sistema può essere modellato come un circuito RLC a doppio nodo con una sorgente di corrente controllata in corrente.
Quando i valori di tensione, induttanza e capacità della sorgente di ingresso sono noti, la tensione di pilotaggio dell'albero può essere calcolata utilizzando l'analisi nodale.
Utilizzando i valori di frequenza angolare, induttanza e capacità, viene calcolata l'impedenza attraverso l'induttore e il condensatore e viene disegnato un circuito nel dominio della frequenza corrispondente.
Applicando la legge di corrente di Kirchhoff e la legge di Ohm al primo nodo e sostituendo l'espressione con la corrente sorgente si ottiene un'equazione semplificata.
Allo stesso modo, applicando la legge corrente di Kirchhoff e la legge di Ohm al secondo nodo si ottiene un'altra equazione. Sostituendo la prima equazione nodale e semplificando ulteriormente l'equazione, si ottiene la tensione al nodo uno che è uguale alla tensione della sorgente.
Infine, la tensione dell'albero viene trasformata nel dominio del tempo.

analisi dei nodi per circuiti ca

Consideriamo un sistema di angioplastica provvisto di un catetere dotato di turbina, uno strumento fondamentale per rimuovere i depositi di placca dalle arterie coronarie. Questo intricato dispositivo medico funziona utilizzando un modello di circuito che ricorda un circuito RLC a doppio nodo, alimentato da una sorgente di tensione controllata da corrente.

Per svelare le complessità di questo sistema, viene utilizzata l'analisi nodale, una potente tecnica fondata sulla legge della corrente di Kirchhoff (KCL), che rimane valida per i fasori. Utilizzando questa analisi, i circuiti CA possono essere analizzati in maniera efficace.

Il processo inizia con la raccolta di informazioni sui valori di tensione, induttanza e capacità della sorgente di ingresso. Questi punti dati possono calcolare la tensione guida per lo stelo del catetere. Sfruttando i valori di frequenza angolare, induttanza e capacità, viene determinata l'impedenza attraverso l'induttore e il condensatore, mappando un circuito nel dominio della frequenza.

<img alt="Equation1" src="/files/ftp_upload/15110/15110_PT_Equation_1.svg" style="text-align: center; height: 16px;">
<img alt="Equation2" src="/files/ftp_upload/15110/15110_PT_Equation_2.svg" style="text-align: center; height: 40px;">

Vengono applicate KCL e la legge di Ohm su entrambi i nodi, producendo equazioni che descrivono il comportamento del sistema. Se semplificate e integrate, queste equazioni rivelano che la tensione dell'albero è esattamente uguale alla tensione della sorgente.

Questa analisi completa fornisce informazioni essenziali sul funzionamento elettrico del sistema di angioplastica. I dati sulla tensione possono quindi essere convertiti nel dominio del tempo, consentendo di valutare e ottimizzare le prestazioni del sistema, per un'efficace rimozione della placca nelle procedure mediche.

Analisi dei Nodi per Circuiti CA

Nel sistema di angioplastica rotablatore, la turbina provoca la rotazione della fresa del catetere, che aiuta a rimuovere i depositi di placca dalle coronarie 
...

Education

Didattica

JoVE Core

Electrical Engineering

Ingegneria elettrica

Unit 1

Unità 1

AC Circuit Analysis

Analisi dei circuiti in CA

KEY TERMS AND CONCEPTS

TERMINI E CONCETTI CHIAVE

Node Analysis for AC Circuits

ac circuit node method in an angioplasty model

AC circuit node analysis is used to study an angioplasty system with a catheter turbine. The system helps remove plaque deposits from coronary arteries. Its electrical model is similar to a dual-node RLC circuit driven by a current-controlled voltage source.

The analysis begins by collecting the input source voltage, inductance, and capacitance values. These measurements are used to find the driving voltage for the catheter shaft. The circuit is then viewed in the frequency domain, where angular frequency helps determine the impedance of the inductor and capacitor.

Kirchhoff's current law, or KCL, is applied at both nodes. Ohm's law is also used to write the node equations. Because KCL remains valid for phasors, the AC circuit can be analyzed with nodal analysis in a clear and organized way.

After the equations are simplified and combined, the result shows that the shaft voltage equals the source voltage. The voltage can then be converted back into the time domain. This helps assess and optimize the system's performance for effective plaque removal in medical procedures.

AC Circuit Node Method in an Angioplasty Model

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Learn how nodal analysis and KCL are used to model an angioplasty catheter turbine as a dual-node RLC AC circuit and determine shaft voltage.

AC Circuit Node Method in an Angioplasty Model | JoVE K12

JoVE Core Electrical Engineering offers easy-to-understand animated videos that cover fundamental concepts of electric circuits along with circuit analysis techniques. It incorporates first-order and second-order circuits using operational amplifiers and circuit transformation concepts. The inclusion of practical design examples and real-world applications through scientist-in-action videos adds significant educational value, making complex concepts accessible.

electrical engineering

AC Circuit Node Method in an Angioplasty Model

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