Solving Electrolytic Capacitor Leakage Current Problem using MATLAB, Assignments of Mathematical Methods for Numerical Analysis and Optimization

Download Solving Electrolytic Capacitor Leakage Current Problem using MATLAB and more Assignments Mathematical Methods for Numerical Analysis and Optimization in PDF only on Docsity! 1 EEE 244 – Homework Problem 2 -- Due 2/28/07 1. An electrolytic capacitor is determined to have a leakage current (iL) that is a non-linear function of capacitor charge (Q). Refer to the m-file, CapLeakCurrent.m, on the course web page for a graphical description of this current characteristic. The graph from that m-file is shown below. Notice that there are six fundamental constants associated with this current function: Capacitor voltage rating – Vo = 12.0 V Capacitance – C = 220 µF K0 = 15.1 mA K1 = 21.3 A/C K2 = 88.0 A-1 K3 = 752 mA Since € dQ dt = −iL , your challenge is to use MATLAB to solve the differential equation for Q(t) over the range (0 ≤ t ≤ 20 s), with an initial charge of 0.99Qo on the capacitor. You should do this using two different FDDA numerical techniques: Forward FDDA, or Euler’s Method, and Centered FDDA. You should begin with a time increment of 100