Power Energy

Program Package for Analysis
of Power-Fuel System Network (PFSN)

in Deutsch
A la Frances
Present software package is designed to solve the problems connected with the power-fuel system network's optimal work and its stability with respect to probable disturbances. The used model can also be used to analyze the economic problems, concerning the PFSN work, e.g. the dependence of its functional parameters upon the rate and balance of prices of the processes in the system.

Model of Network

The model of network is based on the generalized PFSN scheme, including elements of four types: consumers, sources, stores and delivery arteries. It allows to consider time-variant characteristics of the system and time-distributed disruptions. The dynamics of the system's state: redistribution of energy resources flows, the stores creation and use - can be also described.
The consumer in the model represents a set of users of different resources, located in a certain economic region. The sources of fuel (oil, gas and coal) and electric power (heat, hydro and nuclear power stations) are described. The system is supposed to include the stores of any kind of resources. The fuel and power delivery systems in the model correspond to the net of main arteries of the real transportation system of every type of resources.
A cost function is considered in connection with any of the processes in the power-fuel system network (that are the energy resources extraction or working out, transportation, converting, storage and consumption).
The set of cost functions allows to express three purposes associated with the construction and use of the PFSN. They are:
  1. to increase the rate of consumers demand satisfaction;
  2. to reduce the system's failurability level;
  3. to maintain the economical regime, i.e. use of the shortest paths for delivery, etc.
The cost functions represent the cost of the processes and the penalty for the approach of the process to the critical or failurable regime. A special cost function evaluates the rate of the consumers provision. The model operates with the notion of consumption categories, i.e. it's supposed that the amounts of the resources are fixed, that should be delivered to the consumers to satisfy the demand of the first, second, etc., urgency. The more urgent is the unsatisfied category the higher is the penalty, expressed by the cost function. The consumption categories represent in fact the amount of resource needed to provide different groups of users, that are classified by their technological position.


The PFSN functionality can be disturbed by various disruptions (outer interferences or failure and malfunction of certain elements and fragments of the network). It's supposed that the available information about the disturbances is not precise, but generalized (for example, the general power of the blow). Under these conditions the stability of the system is described by the guaranteed quality of its work.

Performance of researches

A complex of computer programs based on the described PFSN model is created in the department. It allows the researcher to set in the model, as the initial data, the system's geographical configuration, technical characteristics of its elements, parameters of the cost and penalty functions, the data or prognosis on the possible damages of the system and its restore. The program complex forms the network model of the power-fuel system network with the external influences and the temporal variations. Then the calculation is fulfilled optimizing the system's work with respect to the introduced quality criterion (that is the combination of the cost functions). As the result one can obtain the optimal distribution of the energy resource flows and strategy of the stores dynamics and system reparation (if one needed), the data on the consumers supply and the level of failurability of the system elements. The researcher can vary the parameters of the system damage and find the most harmful type of destruction. While searching for the worst variant of the destruction the elements of the net can be found that put the limit to the system's possibilities. These elements should be strengthened first of all to improve the system's stability. The cost functions can be interpreted as the values of the processes in common economic meaning. Then the researcher can analyze the effect of the costs variation on the PFSN functional parameters.

Hardware requirements: