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The purpose of this paper is to study the performance of the approximated model of biological tissue for development of complex 3 D models. The comparison of results from the complex model of liver tissue and results from the approximated model is provided to validate the proposed approximation method.

The proposed model of hepatic tissue (respecting its heterogeneous character up to the microstructure of hepatic lobules) is used for analysis of current field distribution within this tissue. Initially, the complex model of tissue structure (respecting the heterogenous structure) is presented, considering its complicated structure. Consequently, the procedure for the approximation of a complex model is being described. The main motivation is the need for simple, fast and accurate simulation model, which can be consequently used within more complex modeling of human organs for investigation of negative impacts of electrosurgical equipment on heterogenic tissue structure. For these purposes, the complex and approximated model are mutually compared and evaluated.

The obtained results are exploitable for the analysis of the probability of injury formation in sensitive tissue structures, and the approximated model shall serve for optimization of complex and time-consuming analyses.

Research limitations include development of precise and fast electro-magnetic simulation model of biological tissue.

Practical implications is focused on the optimization processes of the electro-surgical procedures.

The originality of the paper concerns the approximation method of organic tissue modeling.

This paper aims to develop mathematical models of variously compensated wireless energy transfer (WET) systems. Attention is primarily paid to the derivation of the most important energy transfer characteristics such as efficiency and amount of transferred power. This paper discusses the main advantages and disadvantages of various compensation techniques to show their possible application areas. On the basis of these results, a designer will be able to quickly identify which compensation type suites as the best solution to fulfill a given system’s requirements.

First, the current state in the field of mathematical modeling of WET systems is introduced. Next, the non-resonant magnetic-coupled circuit together with four most common resonant magnetic-coupled circuits is analyzed. The equivalent circuit models using loop currents methodology is applied to the analyses. The proposed methodology is experimentally verified by the laboratory measurement of selected circuit topology. The main contribution of the proposed methodology lies in its quick applicability on more complicated or extended systems while keeping a relatively good match with the real system’s behavior.

The authors have presented the usage of a simple and accurate methodology for investigating variously compensated WET systems. Electrical engineers who require effective and powerful tools for the identification of basic WET systems properties will find this methodology to be of extensive help.

The analyses consider only the sinusoidal type of supply voltage; so, it is valid mainly for the close range of the resonant state. Nonlinearities cannot be taken into account.

This research may be applied in the field of WET systems.

Research in the area of power electronic systems, which provides a clear and straightforward procedure for WET system identification, will be helpful to most practical technicians who are not well versed in areas of physical-based phenomena.

Many electric circuits feature some type of non-linearity of their used devices. Non-linear resistors or inductors could be typical examples. Also, all semiconductor devices are in their nature non-linear ones. The simulation models are very important parts of the design of the devices in various fields of industry. Multiply (multiple) simulation, verified by the measurement on the physical sample, help to improve the converter design by understanding the current and voltage behavior of non-linear elements. The paper aims to discuss these issues.

Mathematical model of LCTLC inverter was made. Fictitious exciting function was applied on LCTLC inverter model. The non-linear inductance with the real core EFD model has been created and consequentially used for MatLab simulation experiments. MatLab and OrCAD/PSpice simulation results were compared with experimental measurements carried out on physical sample.

The authors have found how to simulate non-linear resonant circuits within mathematical apparatus using fictitious exciting function method. The authors provided comparisons between proposed simulation mathematical model and relevant physical sample. Multiply simulations can help to improve the converter design by understanding the current and voltage behavior of non-linear elements.

The proposed method is applicable for simulation purposes. The only limitation is that MatLab model does not include hysteresis curve of the core, therefore it has to be modeled.

The design of power supplies (switched mode power supplies, UPS and resonant inverter).

Research in the area of behaviors of non-linear components in resonant circuits.