Python For Engineering and Scientific Computing

5.6    Partial Fractions

Any rational function can be decomposed into n partial fractions. If you calculate the main denominator for these partial fractions, you get back the original rational function with its numerator and denominator polynomial. In the synthesis of electrical inputs, transfer functions of complex conductance (admittance) Y(s) or complex resistance (impedance) Z(s) are given as rational functions. From these specifications, the individual elements of the circuit can be dimensioned using partial fraction decomposition. Based on two simple electrical networks, I will now demonstrate how the synthesis of one-ports is performed using the method of decomposing partial fractions. Figure 5.4 shows a parallel circuit of three R-L ...