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This paper introduces a control problem of regulation of energy flows in atwo-site electricity and heat supply system, where two Combined Heat and Power(CHP) plants are interconnected via electricity and heat flows. The controlproblem is motivated by recent development of fast operation of CHP plants toprovide ancillary services of power system on the order of tens of seconds tominutes. Due to the physical constraint that the responses of the heatsubsystem are not necessary as fast as those of the electric subsystem, thetarget controlled state is not represented by any isolated equilibrium point,implying that stability of the system is lost in the long-term sense on theorder of hours. In this paper, we first prove in the context of nonlinearcontrol theory that the state-space model of the two-site system is non-minimumphase due to nonexistence of isolated equilibrium points of the associated zerodynamics.Instead, we locate a one-dimensional invariant manifold thatrepresents the target controlled flows completely. Then, by utilizing a virtualoutput under which the state-space model becomes minimum phase, we synthesize acontroller that achieves not only the regulation of energy flows in theshort-term regime but also stabilization of an equilibrium point in thelong-term regime. Effectiveness of the synthesized controller is establishedwith numerical simulations with a practical set of model parameters.

Structural Analysis and Control of a Model of Two-site Electricity and Heat Supply