Frequency and duration of voltage drop in plants with intermittent loads

Prabhakara, F.S.; Miller, Judith; Kazibwe, W.E.

doi:10.1109/ias.1991.178072

Cited by 7 publications

(22 citation statements)

References 3 publications

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“…The probability density function of the voltage fluctuation can be further expressed by the GramCharlier series expansion (Stuart and Ord, 1994). Compared with traditional methods (Prabhakara et al, 1991;Prabhakara, 1992a;Dopazo, 1975;Meliopoulos et al, 1984;1990), the computation complexity can be simplified and the computation time can be markedly reduced by the proposed method. A similar cumulant concept was used to solve problems of production cost and LOLP (loss of load probability) (Stremel et al, 1980;Wang and McDonald, 1994).…”

Section: Introductionmentioning

confidence: 96%

“…Intermittent loads involving high, pulsating and instantaneous power demands include grinders, hammer mills, rock crushers, reciprocating pumps and arc welders (Gonen, 1986;Prabhakara et al, 1991;Prabhakara, 1992a;1992b). These loads may be periodic, e.g., grinders, or non-periodic, e.g., crushers.…”

Section: Introductionmentioning

confidence: 98%

“…There were some methods developed for calculating the stochastic/probabilistic voltages (Prabhakara et al, 1991;Prabhakara 1992a;Dopazo et al, 1975;Meliopoulos et al, 1984;1990). Prabhakara et al (1991) use probabilities and a Z-matrix to calculate voltage drops and currents caused by intermittent loads in feeders.…”

Section: Introductionmentioning

confidence: 99%

“…Prabhakara et al (1991) use probabilities and a Z-matrix to calculate voltage drops and currents caused by intermittent loads in feeders. Dopazo (1975) proposed a "stochastic load flow" method to determine the voltage and the line flow pattern in terms of the confidence limits of the random variables.…”

Section: Introductionmentioning

confidence: 99%

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Calculation of voltage fluctuation caused by intermittent loads

Hong¹,

Wang²

2004

Journal of the Chinese Institute of Engineers

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Intermittent loads, such as grinders and welders, are the main factors that degrade the power quality in the distribution system. Intermittent loads will result in voltage fluctuations with stochastic characteristics, which may lead to malfunction of other sensitive loads. This paper uses cumulant method to calculate the bus voltage fluctuation using the algebraic addition and multiplication. The probability density function of the voltage fluctuation can be further expressed by the Gram-Charlier series expansion. Compared with traditional methods, computation complexity can be simplified and computation time can be markedly reduced by the proposed method. The simulation results from an 11-bus industrial distribution system with grinders show the applicability of the proposed method.

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Section: Introductionmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Calculation of voltage fluctuation caused by intermittent loads

Hong¹,

Wang²

2004

Journal of the Chinese Institute of Engineers

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“…The load bus voltages are the state (continuous) variables solved by an AC Newton method. Avoiding the probability density function and covariance, the Markov model was used to define all operation states (scenarios) [15]- [17]. In addition to the probability information, the duration of each scenario can be attained using the Markov model.…”

Section: Introductionmentioning

confidence: 99%

Optimal VAR Planning Considering Intermittent Wind Power Using Markov Model and Quantum Evolutionary Algorithm

Hong

Pen

2010

IEEE Trans. Power Delivery

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Techniques for distributed generations (DGs) have attracted increasing attention due to their effects on environmental sustainability and the reduction in traditional megawatt (MW) generation expansion. Wind farms are one of the DGs and have intermittent characteristics. This paper presents a method for static VAR planning considering existing wind generator voltages and transformer taps as controllers to regulate the voltage profile in a distribution system with wind farms. Wind power generations and bus loads are modeled with the Markov model. The probabilities and durations of the operation states are obtained. Through a quantum evolutionary algorithm, the cost of static VAR compensators and MW loss in the system are minimized and the operational constraints are fulfilled. The applicability of the proposed method is verified through simulations using a standalone 25-bus (Penghu) system and a 17-bus system. Index Terms-Intermittence, Markov model, quantum evolutionary algorithm, VAR planning, voltage fluctuation.

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A frequency and duration analysis method for probabilistic optimal power flow with wind farms

Zhu

Zhang

Chen

2019

IEEJ Transactions Elec Engng

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Probabilistic optimal power flow (POPF) is an important tool in power system planning and operation. One limitation of conventional POPF is that only the probability information of random variables is obtained as a reference for related analyses. Frequency and duration information often plays an important role in power system assessment. In this study, a frequency and duration analysis method for POPF with wind farms (WFs) is proposed, which is based on Markov chains by improving the traditional probability-frequency distribution function (PFDF) method. The main advantage of the proposed method is that highly accurate solutions can be obtained with less computation. Random input variables, including intermittent loads and WF power outputs associated with both wind speed uncertainties and wind turbine (WT) failures, are modeled using the corresponding PFDFs. With the proposed method, not only probability information but also frequency and duration information of random POPF outputs are efficiently and analytically computed through the operations of PFDFs of random inputs. Moreover, an optimization method for determining the clustering number of random states is proposed to improve the credibility of stochastic process modeling of Markov-chain-based random variables. The test on the modified IEEE-RTS79 system with WFs demonstrates the rapidity and validity of the proposed method.

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Frequency and duration of voltage drop in plants with intermittent loads

Cited by 7 publications

References 3 publications

Calculation of voltage fluctuation caused by intermittent loads

Calculation of voltage fluctuation caused by intermittent loads

Optimal VAR Planning Considering Intermittent Wind Power Using Markov Model and Quantum Evolutionary Algorithm

A frequency and duration analysis method for probabilistic optimal power flow with wind farms

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