New control approach for capacitor supported DSTATCOM in three-phase four wire distribution system under non-ideal supply voltage conditions based on synchronous reference frame theory

Real-time implementation of PI and fuzzy logic controllers based shunt active filter control strategies for power quality improvement

“…The reference signals thus obtained are compared with the actual compensating filter currents in a hysteresis comparator, where the actual current is forced to follow the reference and provides instantaneous compensation by the APF [14] on account of its easy implementation and quick prevail over fast current transitions. This consequently provides switching signals to trigger the IGBTs inside the inverter.…”

Primary frequency control of multi-machine power systems with STATCOM-SMES: A case study

“…The design of the PLL is based on concepts of instantaneous power theory in the dq reference frame. This device also synchronizes, by providing the phase h, the coordinate transformations from abc to dq components in the voltage and current measurement system [17]. These signals are then filtered by using second-order lowpass filters in order to obtain the fundamental components employed in the control system.…”

Electric powers that fulfill Tellegen’s theorem and those that do not: Analysis of consequences

“…The active power P d absorbed by the d branch is P d = P d1 + P dH , where P d1 is the fundamental active power and P dH is the harmonic active power (or nonfundamental active power) [10] that the d branch absorbs. (2) shows that their sum for the r branches of the network is zero,…”

“…A line of research on electrical power which began in the nineteenth century [1][2][3] and continues today [4][5][6][7] has been mainly directed at better quantifying the behavior of electrical power systems and creating concepts to optimize their design [8][9][10]. This investigation has produced many definitions of electric powers [11].…”