Electronic Circuits with MATLAB, PSpice, and Smith Chart

1Load Line Analysis and Fourier Series

CHAPTER OUTLINE

1. 1.1 Load Line Analysis
   1. 1.1.1 Load Line Analysis of a Nonlinear Resistor Circuit
   2. 1.1.2 Load Line Analysis of a Nonlinear RL circuit
2. 1.2 Voltage-Current Source Transformation
3. 1.3 Thevenin/Norton Equivalent Circuits
4. 1.4 Miller's Theorem
5. 1.5 Fourier Series
   1. 1.5.1 Computation of Fourier Coefficients Using Symmetry
   2. 1.5.2 Circuit Analysis Using Fourier Series
   3. 1.5.3 RMS Value and Distortion Factor of a Non‐Sinusoidal Periodic Signal
6. Problems

1.1 Load Line Analysis

The v-i characteristic of a nonlinear resistor such as a diode or a transistor is often described by a curve on the v-i plane rather than by a mathematical relation. The v-i characteristic curve can be obtained by using a curve tracer for nonlinear resistors. To analyze circuits containing a nonlinear resistor, we should use the load line analysis. To grasp the concept of the load line, consider the graphical analysis of the circuit in Figure 1.1(a), which consists of a linear resistor R₁, a nonlinear resistor R₂, a DC voltage source V_s, and an AC voltage source of small amplitude v_δ ≪ V_s. Kirchhoff's voltage law (KVL) can be applied around the mesh to yield the mesh equation as

Figure 1.1 Graphical analysis of a linear/nonlinear resistor circuit.

(1.1.1)

where the v-i relationship of R₂ is denoted by v₂(i) and represented by the characteristic curve in ...