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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. Outline. Definition of the Terms
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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