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This course focuses on the emulation of power passive elements within analog circuit design. Key topics include the definition of emulation, analysis of the Miller model, Class D amplifier, soft PWM simulation, and overview of rectifiers in DC supply. We will delve into convergence problems in algorithms, propose solutions for achieving continuous differentiable functions, and explore simulation results from various rectifier circuits, including ideal and voltage-doubler configurations. Applications such as compensators and real-time high-power variable capacitors will also be discussed.
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אוניברסיטת בן-גוריון בנגב הפקולטה למדעי ההנדסה המחלקה להנדסת חשמל ומחשבים Emulation of Power Passive Elements Submit : Rony Levin Email : levinbr@ee.bgu.ac.il Course: Analog Circuit Design Number:361-2-5221 Lecturer : Prof. Sam Ben-Yaakov
levinbr@ee.bgu.ac.il Outline • Definition of the Terms • Miller Model • Class D Amplifier • “Soft” PWM Simulation • DC Supply – Overview of Rectifiers • Simulations Results • Applications • Conclusion
levinbr@ee.bgu.ac.il Definition of Emulation When one system performs in exactly the same way as another
levinbr@ee.bgu.ac.il Emulation : Miller Model
levinbr@ee.bgu.ac.il Class D Amplifier
levinbr@ee.bgu.ac.il Convergence Problem • Algorithm doesn’t handle with discontinuous function . Why? • Tolerance less than 2 is inaccessible : Δy=2 is a constant • Sign(0) is undefined
levinbr@ee.bgu.ac.il Convergence Problem Proposed Solution • To find continuous differentiable and invertible function that behaves as sign (logic “if ” function( . • Proposed function :
levinbr@ee.bgu.ac.il Convergence Problem Proposed Solution • Increasing the slope • Offset can be added
levinbr@ee.bgu.ac.il Saw-tooth WaveVpulse Source
levinbr@ee.bgu.ac.il “Soft” PWM Simulation • SW – Saw-tooth Wave • Ref – Reference Voltage
levinbr@ee.bgu.ac.il Experimental CircuitDC Supply
levinbr@ee.bgu.ac.il Equivalent Capacitor
levinbr@ee.bgu.ac.il Simulation Results : Av=1.5 , f=1k Ideal DC Supply
levinbr@ee.bgu.ac.il DC Voltage Supply Rectifier with Transformer Isolation
levinbr@ee.bgu.ac.il DC Voltage Supply Voltage-Doubler Rectifier
levinbr@ee.bgu.ac.il Voltage-Doubler Rectifier Negative Half Cycle Positive Half Cycle Current flows if Current flows if
levinbr@ee.bgu.ac.il Experimental Circuit Self Supply
levinbr@ee.bgu.ac.il Self SupplyPSpice Model
levinbr@ee.bgu.ac.il Simulation Results : Av=1.5 , f=1k
levinbr@ee.bgu.ac.il Simulation Results : Av=1.5 , f=1k Rectifier Current Spikes
levinbr@ee.bgu.ac.il Simulation Results : Av=1.5 , f=500 Rectifier Current Spikes
levinbr@ee.bgu.ac.il Simulation Results : Av=1.5 , f=10k Rectifier Current Spikes
levinbr@ee.bgu.ac.il DC Voltage Supply Rectifier with Transformer Isolation
levinbr@ee.bgu.ac.il Simulation Results : Av=1.5 , f=1k Voltage-Doubler Rectifier Rectifier with Transformer Isolation PSim Simulation
levinbr@ee.bgu.ac.il Input Voltage Step Response 230 V rms to 460 V rms
levinbr@ee.bgu.ac.il Power Dissipation • Reactive Power • Measured Energy Loss
levinbr@ee.bgu.ac.il Applications • Compensator • Gyrator • Real Time High Power Variable Capacitor in Parametric Resonance Circuit
levinbr@ee.bgu.ac.il Summary • It can be seen that current has two current spikes in a period • The reason of the current spikes is topology of the voltage – doubler rectifier • The problem can be solved either improving the current topology or using another, more appropriated topology.
levinbr@ee.bgu.ac.il Reference • D.C. Hamill, M.T. Bina,The Bootstrap Variable Inductance and its Applications in AC Power Systems, Applied Power Electronics Conference and Exposition, 1999. APEC '99. Fourteenth Annual, Volume 2, 14-18 March 1999 Page(s) : 896 - 902 vol.2
levinbr@ee.bgu.ac.il Thank You for Your Attention