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TRƯỜNG ĐẠI HỌC SƯ PHẠM KỸ THUẬT TP HỒ CHÍ MINH ELECTRICAL AND ELECTRONIC PRINCIPLES WEEK 6 Cuong Q Ngo Last classes • Magnetically coupled circuits • Transformer • Resonance 2 Contents (Today class) •.

TRƯỜNG ĐẠI HỌC SƯ PHẠM KỸ THUẬT TP HỒ CHÍ MINH ELECTRICAL AND ELECTRONIC PRINCIPLES WEEK Cuong Q Ngo Last classes • Magnetically coupled circuits • Transformer • Resonance Contents (Today class) • Trigonometric Fourier series • Plot function - MATLAB • Circuit Application (Applying Fourier series) Trigonometric Fourier series • Fourier theorem: any practical periodic function of frequency 𝜔𝑜 can be expressed as an infinite sum of sine or cosine functions that are integral multiples of 𝜔𝑜 • Or • In amplitude – phase form: where: Trigonometric Fourier series • Fourier analysis Trigonometric Fourier series • Some common integrals: Trigonometric Fourier series • Determine the Fourier series of the waveform Trigonometric Fourier series • Answer 𝑎𝑜 = 𝑎𝑛 = 𝑏𝑛 = 𝑛𝜋 ; 𝑛 = 𝑜𝑑𝑑 0; 𝑛 = 𝑒𝑣𝑒𝑛 2 𝑓 𝑡 = + 𝑠𝑖𝑛𝜋𝑡 + 𝑠𝑖𝑛3𝜋𝑡 + 𝑠𝑖𝑛5𝜋𝑡 + ⋯ 𝜋 3𝜋 5𝜋 Exercise • Find the Fourier series of the square wave • Answer 10 ... - MATLAB • Circuit Application (Applying Fourier series) Trigonometric Fourier series • Fourier theorem: any practical periodic function of frequency