A Study on improvement of single phase PLL algorithm stability and accuracy
Bibliographic record
Abstract
A distinguishing characteristics of distribution systems is their inherent imbalance. While the assumption of three-phase balance is fundamental to most transmission-level analyses and theoretical studies-and is generally valid in practical applications-distribution systems seldom operate under such ideal conditions. In many instances, a single feeder line extends from the distribution substation. Even when a feeder is designed as a three-phase system, the connected loads often draw power from only one or two phases rather than all three. Consequently, the measured system voltages and currents do not form a balanced three-phase set. When a power electronic device interfaces with an AC power system, it must accurately track the system’s frequency and phase angle. A widely adopted approach for this purpose is the Phase-Locked Loop (PLL). Among various PLL implementations, those based on orthogonal transformations, such as the DQ transformation, are particularly prevalent. This paper presents a single-phase PLL, a variant of the DQ transformation-based PLL, which utilizes a pseudo-quadrature-axis signal generated through a simple phase delay. Additionally, an interpolation technique is incorporated to enhance tracking accuracy. The theoretical foundation of this method is outlined, followed by a comparative evaluation demonstrating the proposed PLL’s effectiveness relative to existing techniques.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".