Optimal voltage control using singular value decomposition of fast decoupled load flow jacobian

Abstract

The problem of regulating voltages within the required limits is complicated by the fact that power system supplies power to a vast number of loads and is fed from many generating units. As loads vary, reactive power requirements of the transmission system vary. Moreover, voltage magnitude is relatively less sensitive to active power compared to reactive power due to high X/R ratio of transmission lines. Therefore, separating voltage control from active power is not only justified but also the common and practical way in power transmission systems. Considering these facts, the fast decoupled power flow jacobian can be used to control voltage magnitudes by reactive power compensation. In this paper, an optimal voltage control is presented to obtain new voltage set-points for PV buses by maximizing the effect of input change on output change using the Fast Decoupled Load Flow (FDLF) jacobian matrix. The proposed algorithm was tested on three IEEE systems: 9 bus, 14 bus and 30 bus systems.

Fully Distributed Secondary Voltage Control in Inverter-Based Microgrids

“…MGs can operate in both islanded mode and gridconnected mode [2]. In the latter case, voltage and frequency will be regulated by the main grid while in the former case, DGs should take control of voltage and frequency.…”

Secondary Voltage Control using Singular Value Decomposition by Discovering Community Structures in Power Networks

“…ΔVPV) on change in output (i.e. ΔVpilot) using the FDLF jacobian matrix, so that we can have maximum reactive power reserve and minimum shift of the controls, Iqbal [16][17].…”

“…Using singular value decomposition of N (i.e. N = U ∑ V T ), (4.11) can be modified as in (4.12) = ∑ (4.12)If PV = 1 , where v1 is the right singular vector corresponding to the highest singular value of N, then performance index J would be maximized and (4.12) would be modified as in (4.13), Talha[73][74] Scalar constant α is the design parameter in this control problem which would give required change in voltage of the pilot bus being controlled. In this approach, we are controlling one pilot bus in every voltage control area (VCA).…”