The studied sensor principle of this work utilizes inductively coupled-coils to measure the absolute position angle of a conductive coupling-element (target). Unfortunately, no analytical solution exists for most sensor quantities due to the rather complex eddy current distribution in the target. To overcome this problem, commonly numerical calculations based on electromagnetic finiteelement (FE) simulation are applied. A new calculation method for an early designing procedure is presented in order to effectively achieve advantageous sensor designs as well as reduce costs and computational effort. Therefore, mathematical models are build by generating optimal designs, which minimize the number of required simulations. Additionally, a numerical implementation of Faraday's law is used to calculate the induced voltage signals based on simulated magnetic field data, allowing a simplified model without receiver coils. After an initial calculation, the mathematical models are capable of replacing further simulations. It was even possible to increase the sensor accuracy with the proposed method by optimizing the receiver coil geometry.