An analytical model of transmitting arrays with excitation perturbations for microwave power transmission

An analytical model is proposed to calculate the performance on beam collecting efficiency (BCE) of transmitting arrays with excitation errors for microwave power transmission (MPT). Due to the inconsistent output of power amplifiers and the uncertainty of the joint loss of radio frequency (RF) device, the small perturbations will be brought into excitation amplitudes and phases, which will decrease the BCE. This analytical model involves the use of a Taylor series expansion to account for small perturbations in the excitation errors. The mathematical model between the statistical information of excitation perturbations and BCE is directly established. To fully prove the accuracy of the given model, numerous random samples will be used to compare the results of the proposed model and Monte Carlo simulation (MCS). Compared with the MCS, the proposed model does not require much-repeated calculation. The proposed method can be applied at the antenna design stage to effectively evaluate the effect of excitation perturbations on the BCE.