Tan-Sun Coordinate Transformation System Theory and Applications for Three-Phase Unbalanced Power Systems

Tan, Guangjun; Cheng, Jie; Sun, Xiaofeng

doi:10.1109/tpel.2016.2621059

Cited by 28 publications

(10 citation statements)

References 31 publications

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“…The software phase-locked loop based on the decoupling of the double-synchronous coordinate system has higher steady-state accuracy, but it relies on phase feedback. Once the phase of the grid is abrupt, there is a large overshoot in the transition process [6]. The work in [7,8] installed a low-pass filter between traditional phase-locked loops.…”

Section: Motivation and Incitementmentioning

confidence: 99%

“…Then, negative and positive sequences had the same control process. By (5) and (6), the output voltage of the inverter is:…”

Section: Grid Current Balance Controlmentioning

confidence: 99%

“…In this paper, the positive and negative sequence components were separated by modulus detection. By (6), in the αβ coordinate system, the grid voltage positive sequence vector modulo |e + |, the angular frequency w rotated counterclockwise, the grid voltage negative sequence vector modulo |e − |, and angular frequency w rotated clockwise are shown in Figure 6. Both had the same angular velocity and the opposite direction of rotation.…”

Section: Grid Current Balance Controlmentioning

confidence: 99%

See 2 more Smart Citations

Optimal Current Balance Control of Three-Level Inverter under Grid Voltage Unbalance: An Adaptive Dynamic Programming Approach

Wang

Wan

2019

Energies

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When the grid voltage is unbalanced, the positive and negative sequence components in the grid voltage cause grid current to be disordered. Under current balance control, proportional integral (PI) closed-loop control will increase the grid currents instantaneously, which affects the safety and reliability of the inverter operation, and PI parameters are difficult to select without the complete system mathematical model. This paper introduces an adaptive dynamic programming (ADP) approach to solve this problem. The best state feedback controller for the system is obtained by driving the ADP by the value iteration ( V I ) algorithm without the need for an accurate mathematical model. In the simulations, the ADP approach can improve the dynamic performance of the system, the current increase can be suppressed when the grid voltage is unbalanced, and the harmonic rate of output currents is reduced.

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Section: Motivation and Incitementmentioning

confidence: 99%

“…Then, negative and positive sequences had the same control process. By (5) and (6), the output voltage of the inverter is:…”

Section: Grid Current Balance Controlmentioning

confidence: 99%

Section: Grid Current Balance Controlmentioning

confidence: 99%

See 1 more Smart Citation

Optimal Current Balance Control of Three-Level Inverter under Grid Voltage Unbalance: An Adaptive Dynamic Programming Approach

Wang

Wan

2019

Energies

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“…Reference [21] forecasted voltage imbalance on low voltage feeders with photovoltaic (PV) generation. Reference [22] converts three-phase imbalanced currents into two orthogonal AC currents with equal amplitudes. The above references implicitly decompose three-phase power imbalance into voltage and current imbalances.…”

Section: Introductionmentioning

confidence: 99%

Three Phase Power Imbalance Decomposition into Systematic Imbalance and Random Imbalance

Kong

2018

2018 IEEE Power &Amp; Energy Society General Meeting (PESGM)

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Uneven load allocations and random load behaviors are two major causes for three-phase power imbalance. The former mainly cause systematic imbalance, which can be addressed by low-cost phase swapping; the latter contribute to random imbalance, which requires relatively costly demand-side managements. To reveal the maximum potential of phase swapping and the minimum need for demand-side managements, this paper first proposes a novel a priori judgment to classify any set of three-phase power series into one of four scenarios, depending on whether there is a definite maximum phase, a definite minimum phase, or both. Then, this paper proposes a new method to decompose three-phase power series into a systematic imbalance component and a random imbalance component as the closed-form solutions of quadratic optimization models that minimize random imbalance. A degree of power imbalance is calculated based on the systematic imbalance component to guide phase swapping. Case studies demonstrate that 72.8% of 782 low voltage substations have systematic imbalance components. The degree of power imbalance results reveal the maximum need for phase swapping and the random imbalance components reveal the minimum need for demand side management, if the three phases are to be fully rebalanced. Index Terms-low voltage distribution network, power imbalance, random imbalance, systematic imbalance, three phase electric power I. NOMENCLATURE The degree of power imbalance at time point The total number of time points ∅ where ∅ ∈ , , Phase ∅ power at time point ∅ where ∅ ∈ , , The average power of phase ∅ over time

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Section: Introductionmentioning

confidence: 99%

Three-Phase Power Imbalance Decomposition Into Systematic Imbalance and Random Imbalance

Kong

2018

IEEE Trans. Power Syst.

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Tan-Sun Coordinate Transformation System Theory and Applications for Three-Phase Unbalanced Power Systems

Cited by 28 publications

References 31 publications

Optimal Current Balance Control of Three-Level Inverter under Grid Voltage Unbalance: An Adaptive Dynamic Programming Approach

Optimal Current Balance Control of Three-Level Inverter under Grid Voltage Unbalance: An Adaptive Dynamic Programming Approach

Three Phase Power Imbalance Decomposition into Systematic Imbalance and Random Imbalance

Three-Phase Power Imbalance Decomposition Into Systematic Imbalance and Random Imbalance

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