Contents Introduction of Math CAD Basic application Basic

Contents • Introduction of Math. CAD • Basic application: • • • -Basic Math -ODE, Fourier , Laplace -Bode Plot, Nyquist • Math. CAD with Power Electronics • • -Buck/Boost Converter -PFC Design, Math. CAD with Spice 2/54

Step, Ramp and Acceleration Signals 10/54

Fourier Series 11/54

Matrix 12/54

Laplace 13/54

Laplace 14/54

Bode Plot and Nyquist 16/54

Mathcad應用: 三相電路 [2] 17/54

BUCK Converter的計算應用 19/54

Buck Converter 20/54

Matlab vs. Math. CAD 21/54

Boost Converter 22/54

ST AN 1089 Application Note[6] 23/54

CRM PFC Design 24/54

Calculation of AC Voltage and Current: 25/54

Inductor Design 26/54

Calculation of Ton , Toff and Switching Frequency: 27/54

Calculate the PF with K factor[7] 28/54

EMI Filter Design: 29/54

Select Output Capacitor: 30/54

Power Losses Analysis Cont 31/54

Power Losses Analysis 32/54

Input Voltage VS Power Losses: 33/54

MOSFSE Conduction Losses: 34/54

Bridger Power Losses: 35/54

Total Dissipation Power losses: 36/54

Efficiency 37/54

Power Losses Analysis CCM vs. CRM 38/54

Frequency vs. Input Voltage 39/54

Phase VS Input Voltage: 40/54

Ton Analysis 41/54

Toff Analysis 42/54

Frequency vs. Phase 43/54

Extract voltages and currents from the data file. 44/54

Compute the rms line-line voltages and rms line currents. 45/54

computing the Fourier coefficients of the line-line voltages and line currents: 46/54

Compute reconstructed voltage waveforms from the Fourier coefficients 47/54

Calculation of RMS and Mean 48/54

Line-Voltage/Current Spectrum 49/54

THD and Power Factor 50/54

Comparison with EN-61000 -3 -2 Class D limits 51/54

REFERENCES • [1] M. Sanz, A. Lazaro‚ “Improvement of Power Electronics Education with an Interactive Electronic Book based on Math. CAD‚” IEEE Power Electronics Education‚ 2005. • [2] Cristian Domnisoru‚ “Using MATHCAD in Teaching Power Engineering‚” IEEE trans On Education‚ VOL. 48‚NO. 1‚ FEBRUARY 2005. • [3] R. W. Larsen‚ “Introduction to MATHCAD‚” Englewood Cliffs‚ NJ: Prentice-Hall‚ 1999. • [4] Mathcad User’s Guide‚ Math. Soft‚ Cambridge‚MA‚ 2001. • [5] Alan Felzer, “Introduction to Math. CAD, ” 2003 • [6] ST AN 1089 Application Note • [7] Lai, J. -S. ; Chen, D. ‚ “Design consideration for power factor correction boost converter operating at the boundary of continuous conduction mode and discontinuous conduction mode. ” in Proc. IEEE Appl. Power Electron. Conf, 7 -11, Mar. 1993. pp. 267 – 273 54/54