Modal Frequency Sensitivity Analysis and Application Using Complex Nodal Matrix

Hu, Haitao; He, Zhengyou; Zhang, Yangfan; Gao, Shibin

doi:10.1109/tpwrd.2013.2288012

Cited by 32 publications

(14 citation statements)

References 4 publications

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“…In Fig. 1, assume "Z 2 " and "X 3 "as research branch, four branches equivalent admittances Y eq1 , Y eq2 , Y eq3 , Y eq4 are established as shown in the equation 7- (10). The frequencies of series resonance points can be calculated through the equations (7)-(10) respectively.…”

Section: B Series Resonancementioning

confidence: 99%

“…The harmonic orders calculated for resonant frequency are: h = 17.68, 29. (10) The harmonic order calculated for resonant frequency is: h = 10.00.…”

Section: B Series Resonancementioning

confidence: 99%

“…The identification and analysis of parallel resonance can be done by this method, but it is very difficult for series resonance. Literature [9]- [10] proposed a loop modal analysis method for analyzing series resonance, which is different from the series resonance point identified by spectrum analysis. However, the series resonance point of the loop can be recognized by the method, and it is difficult to identify the series resonance point in the branch.…”

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confidence: 99%

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Recognition of Branch Series Resonance Based on Port Equivalent Method

Liu

et al. 2019

CPSS TPEA

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For the identification of series resonance in power system branches, the identification method of branch series resonance based on port equivalent method is proposed. First of all, a typical three-bus test system is used to analyze the series resonance of the branch. It is found that the branch series resonance can be identified by the port equivalent admittance formed between the bus node and the reference node. Then, by establishing the node port association matrix and using the node impedance matrix, the multi-port Thevenin equivalent impedance matrix is obtained, in other words, the equivalent admittance matrix of the port is formed, and the load branch of the node is eliminated, as well as the effect of the node load branch on the series resonance of the identification branch is eliminated. The algorithm effectively utilizes the node admittance matrix commonly used in power system. Finally, the feasibility and correctness of the three-bus system and IEEE9 network system are proved by simulation analysis. The validity of this novel formulation is confirmed through theoretical analysis and case studies.

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Section: B Series Resonancementioning

confidence: 99%

“…The harmonic orders calculated for resonant frequency are: h = 17.68, 29. (10) The harmonic order calculated for resonant frequency is: h = 10.00.…”

Section: B Series Resonancementioning

confidence: 99%

mentioning

confidence: 99%

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Recognition of Branch Series Resonance Based on Port Equivalent Method

Liu

et al. 2019

CPSS TPEA

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“…The derivative of critical modal frequency f m with respect to the component parameter α , by means of modal resonance frequency sensitivity , is represented as

\frac{normald f_{normalm}}{normald α} = lim_{Δα \to 0} \frac{Δ f_{normalm}}{Δα} = - \frac{\frac{\partial^{2} | λ_{normalm} |}{∂f∂α}}{\frac{\partial^{2} | λ_{normalm} |}{\partial^{2} f}}

…”

Section: Harmonic Distortion Sensitivity Indicesmentioning

confidence: 99%

Harmonic distortion degradation and filter optimization based on sensitivity studies with considering resonance issue

Gao

2015

IEEJ Transactions Elec Engng

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Voltage distortions are characterized by the harmonic spectrum of the nonlinear load (NLL) and harmonic impedance of the whole system. On one hand, the harmonic impedance is at the peak value when the frequency is at the resonance point, which leads to serious voltage distortions. On the other hand, harmonic distortions will be excited from excessive harmonic emission without resonance. In order to address the above causes, shifting the resonance frequency sensitivity (RFS) and the critical individual harmonic voltage distortion (IHD V ) sensitivity (IHDS) indices are presented here to control the critical IHD V and total harmonic voltage distortion (THD V ). The main idea is to find and adjust the most sensitive network parameter against these sensitivity indices until the harmonic distortion reaches the required value. A three-bus test system and the IEEE 14-bus system are used to verify the proposed method. Comparison of the results shows that these indices complement each other for solving the harmonics problems with or without harmonic resonance. The sensitivity-based methods can be effective for system optimization and filter design by considering harmonic resonance.

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“…This approach can obtain the participation factors of different modes to interested modal resonance frequencies. Thus then, modal sensitivity index (modal impedance sensitivity MIS [14], and modal frequency sensitivity MFS [15]) are presented and used to evaluate the sensitivity indices of each R-L-C parameters of each network components [16]. The contributions of each component to resonance impedance and frequency is calculated for suppress the resonance [17].…”

Section: Introductionmentioning

confidence: 99%

Harmonic Resonance Evaluation for Hub Traction Substation Consisting of Multiple High-Speed Railways

Gao

Shao

et al. 2017

IEEE Trans. Power Delivery

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1 -In many hub traction power supply systems (TPSS), the 27.5kV-busbars in the traction substation (TSS) have supplied several railway lines in a local area for reducing the number of TSSs. However, the multiple railway lines connected to the busbar may affect the resonance behaviors of the entire system. It's therefore needed to investigate the resonance behaviors under such hub TPSS conditions since the harmonic current collection of all railway lines will aggravate the resonance problem. Thus, resonance mode assessment and its sensitivity method is adopted for investigating the resonance behaviors of hub TPSS affected by different numbers of connected lines, lengths of supply lines, system capacities, etc. The numerical results of modal sensitivity indices are compared to investigate and quantify the harmonic resonance issue caused by multiple electrical railway lines. In addition, resonance frequency-shift technique and using modal impedance sensitivity index based method are also employed to mitigate the critical harmonic resonances. The results illustrate that it is effective to analyze resonance issues by adopting the harmonic model and modal methods in this paper. The two types of resonance behaviors (i.e. primary resonance and resonance band) caused from the hub TPSS have been fully investigated, and the resulted harmonic distortion of hub TPSS is suppressed.

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Modal Frequency Sensitivity Analysis and Application Using Complex Nodal Matrix

Cited by 32 publications

References 4 publications

Recognition of Branch Series Resonance Based on Port Equivalent Method

Recognition of Branch Series Resonance Based on Port Equivalent Method

Harmonic distortion degradation and filter optimization based on sensitivity studies with considering resonance issue

Harmonic Resonance Evaluation for Hub Traction Substation Consisting of Multiple High-Speed Railways

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