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

Beim Rotablator-Angioplastie-System bewirkt die Turbine die Rotation des Kathetergrats, der bei der Entfernung von Plaqueablagerungen aus den Koronararterien hilft.
Die Betriebs- und Steuerschaltung dieses Systems kann als Dual-Node-RLC-Schaltung mit einer stromgesteuerten Stromquelle modelliert werden.
Wenn die Werte für die Eingangsquellenspannung, die Induktivität und die Kapazität bekannt sind, kann die Antriebsspannung der Welle mithilfe der Knotenanalyse berechnet werden.
Unter Verwendung der Kreisfrequenz-, Induktivitäts- und Kapazitätswerte wird die Impedanz über die Induktivität und den Kondensator berechnet und eine entsprechende Frequenzbereichsschaltung gezeichnet.
Wenn man das Kirchhoffsche Stromgesetz und das Ohmsche Gesetz auf den ersten Knoten anwendet und den Quellstrom durch den Ausdruck ersetzt, erhält man eine vereinfachte Gleichung.
In ähnlicher Weise ergibt sich bei Anwendung des aktuellen Kirchhoffschen Gesetzes und des Ohmschen Gesetzes auf den zweiten Knoten eine weitere Gleichung. Wenn man die erste Knotengleichung einsetzt und die Gleichung weiter vereinfacht, erhält man die Spannung am Knoten eins, die gleich der Quellspannung ist.
Schließlich wird die Wellenspannung in den Zeitbereich transformiert.

knotenanalyse für wechselstromkreise

Stellen Sie sich ein Angioplastiesystem mit einem Katheter vor, der mit einer Turbine ausgestattet ist, einem wichtigen Werkzeug zur Entfernung von Plaqueablagerungen aus Koronararterien. Dieses komplizierte medizinische Gerät arbeitet mit einem Schaltungsmodell, das an eine RLC-Schaltung mit zwei Knoten erinnert, die von einer stromgesteuerten Spannungsquelle gespeist wird. Um die Komplexität dieses Systems zu entschlüsseln, wird die Knotenanalyse eingesetzt, eine leistungsstarke Technik, die auf dem Kirchhoffschen Stromgesetz (KCL) basiert und für Zeiger weiterhin gültig ist. Wechselstromkreise können mithilfe der Knotenanalyse effektiv analysiert werden. Der Prozess beginnt mit dem Sammeln von Informationen über die Eingangsquellenspannung, Induktivität und Kapazitätswerte. Anhand dieser Datenpunkte kann die Antriebsspannung für den Katheterschaft berechnet werden. Unter Nutzung der Winkelfrequenz-, Induktivitäts- und Kapazitätswerte wird die Impedanz zwischen Induktivität und Kondensator bestimmt und so ein Frequenzbereichsschaltkreis abgebildet. <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;"> An beiden Knoten werden das KCL- und das Ohmsche Gesetz angewendet, wodurch Gleichungen entstehen, die das Verhalten des Systems beschreiben. Vereinfacht und integriert zeigen diese Gleichungen, dass die Wellenspannung genau der Quellenspannung entspricht. Diese umfassende Analyse liefert wesentliche Einblicke in den elektrischen Betrieb des Angioplastiesystems. Die Spannungsdaten können dann in den Zeitbereich umgewandelt werden, was die Beurteilung und Optimierung der Systemleistung für eine effektive Plaqueentfernung bei medizinischen Eingriffen ermöglicht.

Knotenanalyse für Wechselstromkreise

Beim Rotablator-Angioplastie-System bewirkt die Turbine die Drehung des Kathetergrats, der bei der Entfernung von Plaqueablagerungen aus den Koronargefäßen hilft 
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Education

Lehre

JoVE Core

Electrical Engineering

Elektrotechnik

Unit 1

Einheit 1

AC Circuit Analysis

Analyse von Wechselstromschaltungen

KEY TERMS AND CONCEPTS

ZENTRALE BEGRIFFE UND KONZEPTE

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

ac-circuit-node-method-in-an-angioplasty-model

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graphical and analytic representation of sinusoids

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node analysis for ac circuits

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...

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key terms and concepts

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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