LIMIT CYCLE BIFURCATION INDUCED BY RATE-LIMITERS IN THE FEEDBACK LOOP
IFAC Proceedings Volumes, 2006Abstract The effect of rate-limiters in open-loop unstable linear systems is studied. The case of first order plants is considered, which after including the rate-limiter gives rise to a discontinuous second order dynamical system. The existence of one unstable limit cycle, born through a bifurcation at infinity and bounding the attraction basin of ...
Enrique Ponce, Manuel Roman
openaire +1 more source
A fast method for detecting limit-induced bifurcation in electric power systems
Electric Power Systems Research, 2020Abstract In this paper, the foundations of limit-induced bifurcations (LIB), which usually occur with the violation of limits of reactive power generation, are revisited and further developed to derive a fast method for detecting their occurrence.
Lucas Sales Neves +2 more
openaire +1 more source
Bifurcation and limit cycle analysis of nonlinear pilot induced oscillations
23rd Atmospheric Flight Mechanics Conference, 1998Pilot-Induced Oscillation (PIO) is an instability resulting from the dynamic interaction between the pilot and the aircraft. In this paper, we present a general framework for the analysis of nonlinear PIO. The approach involves the computation of nonlinear phenomena such as Hopf bifurcation that lead to large changes in structural stability of the ...
R. Mehra, R. Prasanth
openaire +1 more source
Complementary limit induced bifurcation theorem and analysis of Q limits in power-flow studies
2007 iREP Symposium - Bulk Power System Dynamics and Control - VII. Revitalizing Operational Reliability, 2007Complementary limit describes a change in system structure when two variables and constants in the system model exchange their status. Complementary limits have been used in the power system literature in the past for modeling the Q limit problem in power-flow equations.
null Xunning Yue +1 more
openaire +1 more source
Comparative Study of Voltage Security Indices in Terms of Limit-Induced Bifurcation Effect
2020 International Conference on Smart Grids and Energy Systems (SGES), 2020This paper compares six types of major voltage security indices (VSIs) in terms of limit-induced bifurcation (LIB) effect. The compared VSIs are the voltage collapse proximity indicator (VCPI), L-index, L mn -index, minimum singular value (MSV), tangent vector index (TVI), and optimal-power-flow-based direct method (OPF-DM). These VSIs are evaluated on
Shota Omi, Yasuyuki Shirai
openaire +1 more source
Enhanced visualization of power system stability limits imposed by singularity induced bifurcations
2000 IEEE International Symposium on Circuits and Systems. Emerging Technologies for the 21st Century. Proceedings (IEEE Cat No.00CH36353), 2002This paper attempts to provide an analytically based visualization tool for investigating the existence of singularity induced bifurcations along with corresponding singular sets of operating points in power systems. This tool is based on the solution of a set of parameter dependent differential-algebraic equations (DAE's) for analyzing power system ...
Nwankpa, C, Ayasun, SAFFET, Kwatny, HG
openaire +2 more sources
Evaluation of stability limits imposed by singularity induced and saddle node bifurcations
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003This paper investigates the existence of singularity induced bifurcations along with corresponding singular sets of operating points in power systems. The power system is modeled as a set of parameter dependent differential-algebraic equations (DAE's). We propose a method to identify algebraic singularity of the model and investigate the effects of the
S. Ayasun, C. Nwankpa, H.G. Kwatny
openaire +1 more source
A fast method of voltage stability margin load for limit induced bifurcation
2013 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC), 2013Limit induced bifurcation (LIB) of power system is usually caused by reactive power output of generators exceeds the limit. According to this feature, a fast calculation method for voltage stability load margin of limit induced bifurcation is presented.
Yao Dan, Zhong Hao
openaire +1 more source
A new bifurcation in non-smooth continuous system inducing semi-limit cycle
Physics Letters A, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, D. H., Liu, Q. X., Chen, Y. M.
openaire +1 more source
Input band-pass limiting in a PLL: its influence on interference-induced bifurcation
Thirty-Sixth Southeastern Symposium on System Theory, 2004. Proceedings of the, 2004The sum of a desired tone and an interfering, offset in frequency by v radians/second, tone is considered as the input reference signal for a system comprised of an ideal band-pass limiter and first-order PLL combination. Parameter y denotes the ratio of interfering signal to desired signal amplitudes. In the first of two cases, this two-tone reference
J. Stensby, M. Tillman
openaire +1 more source

