Optimized control of an energy supplying system and an energy consuming system

A fuel control system and a local energy supplying and energy consuming system, wherein the local energy supplying and energy system comprises:

• a first controllable electrical unit arranged to output electrical power and to generate a first heat flux within a series of time periods and a second controllable electrical unit arranged to receive electrical power and to absorb a second heat flux within the series of time periods, both first and second controllable electrical units being connected to an electrical network, and wherein the electrical power received or outputted within any time period, is at least partially a stochastic variable, further wherein said stochastic variable is a variable whose value results from determining the magnitude of a quantity within a first probability distribution function, and means for controlling a demand electrical power by a hybrid open loop/closed loop regulatory mechanism, there being some electrical energy received or output within any time period,
• a controllable fuel powered heating unit for outputting a third heat flux within the series of time periods,
• a controllable heat buffer arranged to store any or all of the first to third heat fluxes and outputting a fourth heat flux within the series of time periods, the fuel powered heating unit being coupled to the heat buffer, and a heat flux user thermally coupled to the heat buffer, the demand for heat power by the heat flux user within the series of time periods being a stochastic variable, wherein said stochastic variable is a variable whose value results from determining the magnitude of a quantity within a second probability distribution, and
• a controller being coupled to the first and second electrical unit, the fuel powered heating unit and the heat flux user to exchange control variables therewith and to control fuel supply to the fuel powered heating unit so that
• a) the demand for heat power by the heat flux user is satisfied in any of the time periods and
• b) the heat buffer is not overfull or empty in any of the time periods and the fuel control system being adapted to determine the quantity of fuel needed by the fuel powered heating unit.