文档介绍：Generalized Theory of Instantaneous Active and Reactive Powers
in Single-phase Circuits based on Hilbert Transform
Makoto Saitou Tosihisa Shimizu
Nagoya Institute of Technology Tokyo Metropolitan University
Dept. of Elec. & Comp. Eng. Electrical Engineering
Gokiso, Showa-Ku, Nagoya-City, Aichi, 1-1 Minamiohsawa, Hachiohji-City, Tokyo,
466-8555 JAF’AN 229-003 1 JAPAN
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Abstract-This paper presents a new theory of instanta- “analytic functions” by Hilbert Transform[7]. When circuits
neous power in single-phase circuits, which is named “ps- operate not only in steady state but also in transient state, the
qs Theory”. The ps-qs theory is formed based on Hilbert active power and the reactive power can be estimated instan-
Transform and allows us to define the active and reactive taneously by means of the instantaneous in-phase and out-of-
powers instantaneously in single-phase circuits that op- phase powers.
erate in transient state. In addition, a novel control strat- By using the ps-qs theory, the control stability and response
egy of active and reactive powers in single-phase circuits, of single-phasepower convatem can be improved. Some signiscant
which is based on the ps-qs theory, is described. Some sig- characteristics on the proposed theory are shown by experi-
nifieant characteristic