Ters-Paralel Bağlı Schottky Diyot Dizisi Tabanlı Van der Pol Osilatörü Devresinin Modellenmesi ve LTspice ve Simulink Kullanarak Analizi

Yıl 2021, Cilt: 11 Sayı: 21, 81 - 91, 30.06.2021

Kübra Çakır , Reşat Mutlu , Ertuğrul Karakulak

Öz

Van der Pol Osilatörü 1926 yılında, Philips’te çalışan elektrik mühendisi ve fizikçi Dr. Balthasar Van der Pol tarafından keşfedilmiştir. Bu osilatör çeşidinin oldukça zengin dinamikleri mevcuttur. İlk yapılan Van der Pol Osilatörü’nde bir triyot kullanılmıştır. Günümüzde Van der Pol Osilatörü, farklı yarı iletken elemanları kullanılarak yapılabilmektedir. Bu çalışmada, nonlineer devre elemanı olarak Schottky diyotlar kullanılmıştır. Bir endüktör, bir kondansatör, ters-paralel bağlı Schottky diyot dizisi ve paralel bağlanmış negatif direnç devresinden oluşan bu yeni Van der Pol Osilatörü’nün devre denklemleri türetilmiş ve benzetimi yapılarak incelenmiştir. Benzetimlerde devrenin sınır döngüsü, devre elemanlarının akımları ve devrenin gerilimi LTspice devre analizi programı ve Matlab’in Simulink paket programı kullanılarak elde edilmiştir.

Anahtar Kelimeler

Nonlineer Osilatörler, Van der Pol Osilatörü, Schottky Diyot, Sınır Döngüsü, Devre Dinamikleri, Devre Modellemesi

Modeling an Anti-Parallel-Connected Schottky Diode String-Based Van der Pol Oscillator Circuit and its Analysis Using LTspice and Simulink

Öz

The Van der Pol Oscillator was discovered in 1926 by electrical engineer and physicist Dr. Balthasar Van der Pol. This oscillator type has very rich dynamics. A triode is used in the original Van der Pol Oscillator. Nowadays, a Van der Pol Oscillator can be made using different semiconductor circuit elements. In this study, Schottky diodes are used as the nonlinear circuit elements. The circuit equations of the new Van der Pol Oscillator which consists of an inductor, a capacitor, anti-parallel connected Schottky diode strings, and a negative resistor circuit connected in parallel are derived and it is examined using simulations. The limit cycle of the circuit, the currents of the circuit elements and the voltage of the circuit were obtained using LTspice circuit analysis program and Simulink toolbox of Matlab.

Anahtar Kelimeler

Nonlinear Oscillators, Van der Pol Oscillator, Schottky Diode, Limit Cycle, Circuit Dynamics, Circuit Modeling

Kaynakça

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