TY - JOUR
T1 - Structural Analysis and Control of a Model of Two-Site Electricity and Heat Supply
PB - ASME
AU - Hoshino, Hikaru
AU - Susuki, Yoshihiko
AU - John Koo, T.
AU - Hikihara, Takashi
Y1 - 2019/06/03
N1 - 10.1115/1.4043703
JO - Journal of Dynamic Systems, Measurement, and Control
SP - 101004
EP - 101004-13
VL - 141
IS - 10
N2 - This paper introduces a control problem of regulation of energy flows in a two-site electricity and heat supply system, where two combined heat and power (CHP) plants are interconnected via electricity and heat flows. The control problem is motivated by recent development of fast operation of CHP plants to provide ancillary services of power system on the order of tens of seconds to minutes. Due to the physical constraint that the responses of the heat subsystem are not necessary as fast as those of the electric subsystem, the target controlled state is not represented by any isolated equilibrium point, implying that stability of the system is lost in the long-term sense on the order of hours. In this paper, we first prove in the context of nonlinear control theory that the state-space model of the two-site system is nonminimum phase due to nonexistence of isolated equilibrium points of the associated zero dynamics. Instead, we locate a one-dimensional (1D) invariant manifold that represents the target controlled flows completely. Then, by utilizing a virtual output under which the state-space model becomes minimum phase, we synthesize a controller that achieves not only the regulation of energy flows in the short-term regime but also stabilization of an equilibrium point in the long-term regime. Effectiveness of the synthesized controller is established with numerical simulations with a practical set of model parameters.
SN - 0022-0434
M3 - doi: 10.1115/1.4043703
UR - http://dx.doi.org/10.1115/1.4043703
ER -