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

في نظام رأب الأوعية الدموية ، يتسبب التوربين في دوران لدغ القسطرة ، مما يساعد في إزالة رواسب البلاك من الشرايين التاجية.
يمكن نمذجة دائرة التشغيل والتحكم لهذا النظام كدائرة RLC مزدوجة العقدة مع مصدر تيار يتم التحكم فيه بواسطة التيار.
عندما تكون قيم جهد مصدر الإدخال والحث والسعة معروفة ، يمكن حساب جهد قيادة العمود باستخدام التحليل العقدي.
من خلال استخدام قيم التردد الزاوي والحث والسعة ، يتم حساب المعاوقة عبر المحرض والمكثف ، ويتم رسم دائرة مجال التردد المقابلة.
تطبيق قانون كيرشوف الحالي وقانون أوم في العقدة الأولى ، واستبدال التعبير بتيار المصدر يعطي معادلة مبسطة.
وبالمثل ، فإن تطبيق قانون كيرشوف الحالي وقانون أوم في العقدة الثانية ينتج عنه معادلة أخرى. استبدال المعادلة العقدية الأولى وتبسيط المعادلة بشكل أكبر ، يعطي الجهد عند العقدة واحدا يساوي جهد المصدر.
أخيرا ، يتم تحويل جهد العمود إلى مجال الوقت.

تحليل العقدة لدوائر التيار المتردد

<div style="direction:rtl">فكر في استخدام نظام رأب الأوعية الدموية الذي يشتمل على قسطرة مجهزة بتوربين، وهو أداة مهمة لإزالة رواسب اللويحات من الشرايين التاجية يعمل هذا الجهاز الطبي المعقد باستخدام نموذج دائرة يذكرنا بدائرة RLC مزدوجة العقدة مدعومة بمصدر جهد يتم التحكم فيه حاليا.

 لكشف تعقيدات هذا النظام، تم استخدام التحليل العقدي، وهو أسلوب قوي يعتمد على قانون كيرشوف الحالي (KCL)، والذي يظل صالحا للمراحل. يمكن تحليل دوائر التيار المتردد بشكل فعال باستخدام التحليل العقدي. تبدأ العملية بجمع معلومات حول قيم جهد مصدر الإدخال، والحث، والسعة. يمكن لنقاط البيانات هذه حساب جهد القيادة لعمود القسطرة. من خلال الاستفادة من قيم التردد الزاوي، والحث، والسعة، يتم تحديد المعاوقة عبر المحرض والمكثف، ورسم دائرة مجال التردد. <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;"> يتم تطبيق قانون KCL وأوم على كلتا العقدتين، مما يؤدي إلى معادلات تصف سلوك النظام. عند تبسيطها وتكاملها، تكشف هذه المعادلات أن جهد العمود يساوي بدقة جهد المصدر. يوفر هذا التحليل الشامل رؤى أساسية حول التشغيل الكهربائي لنظام رأب الأوعية الدموية. يمكن بعد ذلك تحويل بيانات الجهد إلى المجال الزمني، مما يسمح بتقييم وتحسين أداء النظام لإزالة البلاك بشكل فعال في الإجراءات الطبية.</div>

في نظام رأب الأوعية الدموية ، يتسبب التوربين في دوران لدغ القسطرة ، مما يساعد في إزالة رواسب البلاك من الشريان التاجي 
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Education

JoVE Core

Electrical Engineering

الهندسة الكهربائية

Unit 1

الوحدة الأولى

AC Circuit Analysis

تحليل دوائر التيار المتردد

KEY TERMS AND CONCEPTS

المصطلحات والمفاهيم الرئيسية

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

sinusoidal sources

AC Waveform Basics and Phase

Alternating current, or AC, changes direction and magnitude over time, unlike direct current, or DC, which flows in one direction with constant polarity. AC is the main form of electricity used for modern power transmission and distribution because it can travel long distances efficiently. In homes, power supplies use sinusoidal sources to deliver electricity. A sinusoidal source creates a voltage that rises and falls in a smooth wave-like pattern. This waveform is called a sinusoid, which is...

graphical and analytic representation of sinusoids

graphical-and-analytic-representation-of-sinusoids

Measuring Sinusoid Phase on an Oscilloscope

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phasors

Phasors for AC Circuit Analysis

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Phasor Rules for AC Circuit Analysis

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AC Circuit Phasors: Resistor, Inductor, Capacitor

AC circuit phasors help show how voltage and current behave for resistors, inductors, and capacitors. Phasor representation moves these relationships from the time domain to the frequency domain, which makes AC circuit analysis easier. For a resistor, Ohm's law still applies. The voltage across the resistor and the current through it stay in phase, so their phasors point in the same direction. An inductor works differently because its voltage depends on the rate of change of current. The...

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AC Circuit Rules with Phasor Diagrams

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AC Circuit Response: Impedance and Admittance

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Series and Parallel Impedance Rules

Impedance in series and parallel circuits follows the same rules used for resistors. A string of Christmas lights is a simple example. Each bulb represents one impedance element. In a series connection, the current stays the same through every component. This series behavior matches Kirchhoff’s Voltage Law, or KVL. The total impedance in the circuit is the sum of the individual impedances. The source voltage is then divided among the components based on their values. This is the voltage...

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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Impedance Matching with Mesh Currents

Impedance matching in radio communication uses resistor, capacitor, and inductor circuits to help signals move efficiently between a transmitter and a receiver. The circuit must balance the input and output signals before the current in the capacitor can be found. This makes the problem a good example of AC circuit analysis for high school students. The first step is to identify the input voltage and the output signal. The angular frequency is then taken from the time-domain form of the input...

source transformation for ac circuits

AC Source Conversion in Circuit Analysis

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Finding Voltage and Impedance in Circuit A

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norton equivalent circuits

Norton Current in AC Circuit Analysis

Norton’s theorem helps simplify complex AC circuits by replacing a two-terminal linear network with a smaller equivalent circuit. That equivalent circuit uses an impedance in parallel with a constant current source. The method lets students break one complicated circuit into two parts and analyze them more easily. To build the Norton equivalent, the source is replaced by its internal impedance. The result is the Norton impedance, which is the same as the Thévenin impedance. This parallel...

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Analyzing Mixed-Frequency Linear Circuits

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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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