The theory of instantaneous power in three-phase four-wire systems and its applications

✍ Scribed by Hirofumi Akagi; Satoshi Ogasawara; Hyosung Kim

• Publisher: John Wiley and Sons
• Year: 2001
• Tongue: English
• Weight: 312 KB
• Volume: 135
• Category: Article
• ISSN: 0424-7760
• DOI: 10.1002/eej.1035

✦ Synopsis

Abstract

This paper discusses “the p–q theory” and “the cross‐vector theory” in three‐phase four‐wire systems, with the focus on similarities and differences between the two theories. They are perfectly identical if no zero‐sequence voltage is included in a three‐phase three‐wire system. However, they are different in definition of the instantaneous active power and instantaneous reactive power in each phase if a zero‐sequence voltage or current is included in a three‐phase four‐wire system. Based on both theory and computer simulation, this paper leads to the following conclusions: An instantaneous reactive‐power compensator without energy storage components can fully compensate for the neutral current even in a three‐phase four‐wire system including a zero‐sequence voltage or current, when a proposed control strategy based on the p–q theory is applied: However, the compensator cannot compensate for the neutral current fully, when a conventional control strategy based on the cross‐vector theory is applied. © 2001 Scripta Technica, Electr Eng Jpn, 135(3): 74–86, 2001