All simulations discussed in this paper were run using HDGeant and all data analysis was done using PAW and the minimization package MINUIT. There is a high level of confidence that the detector has been faithfully constructed in HDGeant. Currents in the detector are at the expected levels based on experience at SLAC. \par The simulations of the TPCD showed that the detector performed well at measuring beam position in the region $|$x$|$$<$3.0 cm and $|$y$|$$<$3.0 cm. However, the TPCD did not perform well at estimating beam position outside this region. The TPCD demonstrated relatively high sensitivity to small changes in beam position close to the beam axis. This makes the TPCD ideal for precision stabilization of the beam position. \par The simulation described in this paper has its limitations. It is not possible to determine the contribution to noise from ambient electromagnetic interference or how effective the aluminum housing is at shielding against it. The simulation cannot help calculate the capacitance between the detector and the collimator system and cannot yield insight on how to avoid ground loops. These questions can only be addressed with a test of an actual TPCD prototype. The construction of a TPCD is planned and should give more insight into its actual performance.