Abstract
This paper proposes a sufficient condition to assess linearized
Bounded-Input-Bounded-Output (BIBO) stability of
Multi-Vendor-Multi-Terminal (MVMT) HVDC grid over broad frequencies.
Without madatory utilization of Nyquist Criteria or passivity of
impedance, this paper provides a guidance on how the stability of an
HVDC grid can be predicted based on measurements during the tests on
disconnected components without access to internal design of HVDC
converters. Assisted by realizing positive realness of an auxiliary
transfer matrix, defined as current gain matrix, in frequency domain, a
set of sufficient criteria are formulated. They include one global
criterion, i.e. positive realness of every current (voltage) gain and
two decentralized criteria, i.e. BIBO stability of every nodal impedance
(and admittance), and BIBO stability of every transfer admittance (and
impedance). The sufficiency of the stability criteria is derived via
nodal analysis in s-domain. The paper also presents the schemes of
testing stability of nodal admittance/impedance in time-domain to cover
converters controlled as constant power loads. The overall methodologies
are further generalized to bipolar HVDC grids including unbalanced
conditions and transfer network with low-impedance branches. The
achievability of positive real voltage/current gains is compared with
passive nodal admittance in case studies assisted by time-domain
simulations using Matlab/simulink.