The Mathematical Model of Autonomous System on Renewable Sources for Recreation and Relaxation of the Big Cities

Urbanization is a worldwide historical process that is related to the deep transformation of the existing cities and settlements. This process is based on the development of the industry, transport, housing, construction, as well as the spread of the urban way of living. Among the negative factors of urbanization, the following ones can be outlined: an active increase in environmental pollution by means of industrial emissions and waste, the lag of technological and sanitary welfare, as well as engineering communications, utilities and services from the housing stock growth, increase in level of city noise. Apart from the ever-increasing pollution levels of air, water and soil, an increased sociability aspect common for the urban community takes place. On the one hand, this characteristic brings positive influence and facilitates into the formation of a more balanced and stable nervous system of a younger generation, an improved mental fitness and the support of a professional and constructive tone. On the other hand, however, when processing an increased amount of information, a nervous system of a person is not able to recreate the previous operating state, when the level of adaptability was higher. This causes for a new dynamic stereotype to be formed, which in certain cases can lead to a disruption that can be found in neurosis and neurotic states. Despite the constantly accelerating pace of life, observed among urban residents, however paradoxical, a presence of hypodynamy can be distinguished, which influences the formation of cardiovascular disease. The purpose of this publication is to develop a mathematical model of a new hybrid technology in the form of a modular autonomous house "Urbanrelax", which serves for the removal of an emotional overload and stress of urban residents. The aim, therefore, is to develop a system that would be supplied solely by renewable energy sources. Design of engineering communication and supply systems (including lighting, ventilation, light and music background, etc.) will be taken into account. As an outcome, a model of a complex system is planned based on the synergy of various science sectors such as energy, medicine, music, economy, etc., as well as smart grid technologies.