## Abstract

Using a control action which consists of infusion and exhaust at constant speeds and a neutral zone to maintain liquid levels within a given range, a gamma-ray source, a detector, and two relays at the upper and lower limits of the counting rate were provided. The optimum condition in this case is discussed and confirmed experimentally. Since a counting rate-meter has a time constant and its output is subject to the statistical fluctuation, the liquid level may overrun the opposite limit, move again after settling within the range, or drift far out of the range by a load before actuation of the relay. Formulas are derived providing the conditions such that these phenomena will not occur more frequently than a tolerant probability. These give the relations between the counting rates at the upper and lower limits, the time constant of the rate-meter, the multipliers of the standard deviations of the counting rates, the infusing and exhausting speeds, and the hysteresis widths of the limiting relays. Since it can be said that the first two of the five quantities should be smaller and the next two greater, the optimum condition can be determined from the formulas. When the infusing and exhausting
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## Citation Formats

Wakabayashi, N.
Conditions for settling liquid levels by means of gamma-ray relay control.
Japan: N. p.,
1976.
Web.

Wakabayashi, N.
Conditions for settling liquid levels by means of gamma-ray relay control.
Japan.

Wakabayashi, N.
1976.
"Conditions for settling liquid levels by means of gamma-ray relay control."
Japan.

@misc{etde_7208565,

title = {Conditions for settling liquid levels by means of gamma-ray relay control}

author = {Wakabayashi, N}

abstractNote = {Using a control action which consists of infusion and exhaust at constant speeds and a neutral zone to maintain liquid levels within a given range, a gamma-ray source, a detector, and two relays at the upper and lower limits of the counting rate were provided. The optimum condition in this case is discussed and confirmed experimentally. Since a counting rate-meter has a time constant and its output is subject to the statistical fluctuation, the liquid level may overrun the opposite limit, move again after settling within the range, or drift far out of the range by a load before actuation of the relay. Formulas are derived providing the conditions such that these phenomena will not occur more frequently than a tolerant probability. These give the relations between the counting rates at the upper and lower limits, the time constant of the rate-meter, the multipliers of the standard deviations of the counting rates, the infusing and exhausting speeds, and the hysteresis widths of the limiting relays. Since it can be said that the first two of the five quantities should be smaller and the next two greater, the optimum condition can be determined from the formulas. When the infusing and exhausting speeds are the same and the hysteresis widths are equal, the formulas show that the optimum is a case where the ratio of the counting rates at the two limits, which is taken smaller than unity, is small, and where each hysteresis width is equal to 0.34 times the difference between the two counting rates, almost regardless of the value of their ratio. The above-mentioned deductions were examined in a system constructed with a backscattered gamma-ray type level gauge and a controller for infusion and exhaust of water. Its results almost agreed with those of the deductions when the multipliers of the standard deviations are substituted for by 2.}

journal = {Mem. Fac. Eng., Kobe Univ.; (Japan)}

volume = {22}

journal type = {AC}

place = {Japan}

year = {1976}

month = {Mar}

}

title = {Conditions for settling liquid levels by means of gamma-ray relay control}

author = {Wakabayashi, N}

abstractNote = {Using a control action which consists of infusion and exhaust at constant speeds and a neutral zone to maintain liquid levels within a given range, a gamma-ray source, a detector, and two relays at the upper and lower limits of the counting rate were provided. The optimum condition in this case is discussed and confirmed experimentally. Since a counting rate-meter has a time constant and its output is subject to the statistical fluctuation, the liquid level may overrun the opposite limit, move again after settling within the range, or drift far out of the range by a load before actuation of the relay. Formulas are derived providing the conditions such that these phenomena will not occur more frequently than a tolerant probability. These give the relations between the counting rates at the upper and lower limits, the time constant of the rate-meter, the multipliers of the standard deviations of the counting rates, the infusing and exhausting speeds, and the hysteresis widths of the limiting relays. Since it can be said that the first two of the five quantities should be smaller and the next two greater, the optimum condition can be determined from the formulas. When the infusing and exhausting speeds are the same and the hysteresis widths are equal, the formulas show that the optimum is a case where the ratio of the counting rates at the two limits, which is taken smaller than unity, is small, and where each hysteresis width is equal to 0.34 times the difference between the two counting rates, almost regardless of the value of their ratio. The above-mentioned deductions were examined in a system constructed with a backscattered gamma-ray type level gauge and a controller for infusion and exhaust of water. Its results almost agreed with those of the deductions when the multipliers of the standard deviations are substituted for by 2.}

journal = {Mem. Fac. Eng., Kobe Univ.; (Japan)}

volume = {22}

journal type = {AC}

place = {Japan}

year = {1976}

month = {Mar}

}