The development of travelling-wave kinetic inductance parametric amplifiers has introduced a promising new technology in radio astronomy [1]. In fact, it has the potential to reach near quantum-limited noise on a wider bandwidth, larger dynamic range and higher operation frequency when compared with current technologies. While the first implementation of a TKIPA used a coplanar waveguide for the transmission line [1], in this work, we present simulation studies using a microstrip line. One of the main motivations is to be able to obtain a 50-Ω line suitable for readily connection with other components. Therefore, reducing the reflections produced by an impedance mismatch between the ports. In this work we present the design of two different 50-Ω microstrip engineered transmission lines for parametric amplification using the four- and three-wave mixing effects. Additionally, we have included losses in the model. We have simulated their dispersion relation, and the parametric gain with pump frequencies at 7 and 14 GHz for the four- and three-wave mixing effects, respectively. We demonstrate that the three-wave mixing process requires less pumping power for obtaining the same gain with the added advantage of not having a stop band within the operation range. Furthermore, our simulations demonstrate that three-wave mixing is less affected by losses on the transmission line.