Abstarct: Quantum cellular automation is an emerging technology in the field of nanotechnology. Making digital circuits using this technology, in addition to reducing the dimensions of these circuits, significantly reduces their power consumption. For this reason, calculating energy losses is very important. In this study, we intend to use two electrostatic and thermodynamic models to calculate energy dissipation in a fulladder circuit in nanometer size. do this, we first got the clock puls mechanis, to get the correct output for different inputs. Then, in an electrostatic model, we computed the electron state of the circuit using the programming environment, which represents the polarization of the circuit cells. Finally, using these matrices, we achieved energy dissipation through electrostatic and thermodynamic relations. In the thermodynamic method, we also calculated energy dissipation using entropy change and Landauer formula. Using the coherent vector model, we examined the method of switching and power dissipation in a QCA cell. We also study energy dissipation through the upper bound of power dissipation method. From the study we concluded that electrostatically and thermodynamically, the position of electrons in quantum dots, the number of cells, the length of the wire and the logical state of the cells, and from the quantum switching rate, cellular state, cell dimensions, and the distance between adjacent cells affect the dissolution. according to calculations, the mean loss of electrostatic method 10 nm is -0.79 electron volt respectively and the the mean loss of thermodynamic method is -11.15 milli electron volt.