In cases that the voltage source is made of multiple cos’s and we can compensate the current, it is always possible with the first Cauer form. This is caused by the shape of the found transfer function Z(s). This transfer function is a fraction where the odd powers of s are in the numerator, while in the denominator are only even powers of s. In this way the conditions 1 and 3 in chapter 4.2 are satisfied. For this special type of Z(s) satisfying condition 2, is having positive coefficients in the First Cauer form, hence the conclusion. In the tables in this thesis, it seems that when the first Cauer form works, the other forms areworking as well. It seems that the method used in this thesis to find a controller only works for small R, L and C. In the example the improved PF is optimal, like one would expect. I conclude that the method used in this thesis is working fine.