Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks

With the development of wireless sensor networks (WSNs), energy constraints and network security have become the main problems. This paper discusses the dynamic of the Susceptible, Infected, Low-energy, Susceptible model under pulse charging (SILS-P) in wireless rechargeable sensor networks. After the construction of the model, the local stability and global stability of the malware-free T-period solution of the model are analyzed, and the threshold R0 is obtained. Then, using the comparison theorem and Floquet theorem, we obtain the relationship between R0 and the stability. In order to make the conclusion more intuitive, we use simulation to reveal the impact of parameters on R0. In addition, the paper discusses the continuous charging model, and reveals its dynamic by simulation. Finally, the paper compares three charging strategies: pulse charging, continuous charging and non-charging and obtains the relationship between their threshold values and system parameters.

Mathematical Modeling of DC-DC Converters and Li Ion Battery Using MATLAB/Simulink

In the present work, three different methods for obtaining the DC response for modeling practical DC-DC buck and boost converters operating in continuous conduction mode (CCM) are demonstrated using MATLAB/Simulink. The method of selection for inductor, diode, and MOSFET for a DC-DC converter is discussed in detail. The governing equations for the non-ideal converters were derived using volt-sec and amp-sec balance equations. Mathematical modeling of basic converters was carried out using ‘commonly used blocks' reducing the dependence on SimPower System tool box in Simulink. The non-ideal parameters in the converter caused a drastic variation in the duty cycle and output voltage which in turn had an adverse effect on the efficiency. The transients in output voltages and inductor currents were observed. In addition, a Li ion polymer battery was mathematically modeled. Accurate battery modeling for pulse charging was proposed. A comparative analysis of 1, 2, …, 5 RC pair/s modeling of the battery was presented.