Methods of using component mass balance to evaluate manhole events
View Patent ↗A method performed by a system controller and estimating a size of a manhole event occurring in a network of manhole vaults interconnected by connections. The method includes obtaining first, second, and third mass flow rates for each of a plurality of gaseous components present in exhaust, fresh air, and event flows, respectively, and estimating the size based on the third mass flow rate obtained for at least one of the gaseous components. The exhaust flow exits a selected vault of the manhole vaults, the fresh air flow enters the selected vault from an external atmosphere, and the event flow originates from the manhole event. The third mass flow rate for each of a portion of the gaseous components is determined by subtracting the second mass flow rate obtained for the gaseous component from the first mass flow rate obtained for the gaseous component.
1. A method to estimate a size of a manhole event occurring in a network of manhole vaults interconnected by connections, the method comprising:
obtaining, by a system controller, a first mass flow rate for each of a plurality of gaseous components present in an exhaust flow, the exhaust flow exiting a selected one of the manhole vaults;
obtaining, by the system controller, a second mass flow rate for each of the plurality of gaseous components present in a fresh air flow, the fresh air flow entering the selected manhole vault from an external atmosphere;
obtaining, by the system controller, a third mass flow rate for each of the plurality of gaseous components present in an event flow, the event flow originating from the manhole event, the third mass flow rate for each of a portion of the plurality of gaseous components being determined by subtracting the second mass flow rate obtained for the gaseous component from the first mass flow rate obtained for the gaseous component;
estimating, by the system controller, the size of the manhole event based on the third mass flow rate obtained for at least one of the plurality of gaseous components; and
performing, by the system controller, an action based at least in part on the size of the manhole event, the action including at least one of notifying a user or altering a turnover rate of atmospheric turnover in the selected manhole vault.
2. The method of claim 1 , wherein estimating the size of the manhole event comprises the system controller using chemical reaction stoichiometry to calculate a burn rate of a flammable gas accumulation.
3. The method of claim 1 , wherein the system controller notifies the user when the size of the manhole event exceeds a threshold value.
4. The method of claim 1 , wherein the plurality of gaseous components comprises carbon dioxide, and the method further comprises:
receiving, by the system controller, a concentration measurement for the carbon dioxide from a sensor, and
extrapolating, by the system controller, the concentration measurement to obtain a plateau value, the size of the manhole event being estimated by the system controller based on the plateau value.
5. The method of claim 1 , wherein the manhole event comprises at least one of oxidative decomposition, pyrolysis, plasmatization, and flammable gas accumulation.
6. The method of claim 1 , wherein obtaining the first mass flow rate for each of a portion of the plurality of gaseous components comprises receiving, by the system controller, a concentration measurement for the gaseous component from at least one analyte sensor.
7. The method of claim 1 , wherein the plurality of gaseous components comprise a product of at least one of oxidative decomposition, pyrolysis, plasmatization, and flammable gas accumulation.
8. The method of claim 1 , wherein the plurality of gaseous components comprise a product of a flammable gas accumulation, and
the flammable gas accumulation has a source comprising at least one of oxidative decomposition, pyrolysis, plasmatization, a natural gas leak, a hydrocarbon plume, a hydrogen sulfide plume, VOCs of a man-made origin, and VOCs resulting from biological decomposition of organic matter.
9. The method of claim 1 , wherein the plurality of gaseous components comprises at least one of CO, CO 2 , H 2 , NO, NO 2 , VOCs, H 2 S, C, particulates, and O 3 .
10. The method of claim 1 , further comprising:
estimating, by the system controller, a burn rate or a flammable gas accumulation rate based on the third mass flow rate obtained for each of a portion of the plurality of gaseous components and a molecular weight of a fuel.
11. The method of claim 10 , further comprising:
determining, by the system controller, whether the manhole event is a nuisance or a serious event based on the burn rate.
12. The method of claim 11 , wherein the serious event includes at least one of oxidative decomposition, pyrolysis, plasmatization, and flammable gas accumulation.
13. The method of claim 1 , further comprising:
calculating, by the system controller, a percentage lower explosive limit of flammable gases present; and
increasing, by the system controller, the turnover rate of the atmospheric turnover in the selected manhole vault based at least in part on the percentage lower explosive limit of the flammable gases present.
14. The method of claim 13 , wherein the percentage lower explosive limit of the flammable gases present is a percentage corrected lower explosive limit of the flammable gases present.
15. The method of claim 1 , further comprising:
calculating, by the system controller, a percentage lower explosive limit of flammable gases present; and
displaying, by the system controller, the percentage lower explosive limit.
16. The method of claim 15 , wherein the percentage lower explosive limit of the flammable gases present is a percentage corrected lower explosive limit of the flammable gases present.
17. The method of claim 1 , wherein the first mass flow rate obtained for each of the plurality of gaseous components of the exhaust flow are first values that are determined by the system controller deterministically,
the second mass flow rate obtained for each of the plurality of gaseous components of the fresh air flow are second values that are determined by the system controller deterministically,
the third mass flow rate obtained for each of the plurality of gaseous components of the event flow are third values that are determined by the system controller deterministically,
the first, second, and third values are deterministic inputs; and
the method further comprises creating, by the system controller, at least one probabilistic input based on at least one of the deterministic inputs, and performing, by the system controller, a Monte Carlo analysis on the at least one probabilistic input to obtain thereby a probabilistic estimate of fire size and a probabilistic estimate of a percentage lower explosive limit.
18. The method of claim 17 , wherein the percentage lower explosive limit is a percentage corrected lower explosive limit.
19. The method of claim 17 , wherein the system controller obtains a portion of the deterministic inputs from a plurality of analyte sensors.
20. The method of claim 19 , wherein the plurality of analyte sensors each detect at least one of CO, CO 2 , H 2 , NO, NO 2 , VOCs, H 2 S, C, particulates, and O 3 .
21. The method of claim 19 , wherein the plurality of analyte sensors each detect a product of at least one of oxidative decomposition, pyrolysis, plasmatization, and flammable gas accumulation.
22. The method of claim 19 , wherein the plurality of analyte sensors each detect a product of flammable gas accumulation having a source comprising at least one of oxidative decomposition, pyrolysis, plasmatization, natural gas leaks, hydrocarbon plumes, hydrogen sulfide plumes, other VOCs of man-made origin, and other VOCs resulting from biological decomposition of organic matter.
23. The method of claim 1 , further comprising:
estimating, by the system controller, quotients of unit masses of gases introduced and unit time of at least two of oxidative decomposition, pyrolysis, plasmatization, and flammable gas accumulation based on the third mass flow rate obtained for each of the plurality of gaseous components of the event flow.
24. The method of claim 23 , further comprising:
distinguishing, by the system controller, between at least two of oxidative decomposition, pyrolysis, plasmatization, and flammable gas accumulation based on the quotients of the unit masses of gases introduced and time.
25. The method of claim 24 , wherein the first mass flow rate obtained for each of the plurality of gaseous components of the exhaust flow are first values that are determined by the system controller deterministically,
the second mass flow rate obtained for each of the plurality of gaseous components of the fresh air flow are second values that are determined by the system controller deterministically,
the third mass flow rate obtained for each of the plurality of gaseous components of the event flow are third values that are determined by the system controller deterministically, and
the method further comprises:
determining, by the system controller, a temperature change for the event flow, the temperature change, the first values, the second values, and the third values being deterministic inputs;
creating, by the system controller, first probabilistic estimates for the deterministic inputs;
performing, by the system controller, a Monte Carlo analysis on the first probabilistic estimates to obtain second probabilistic estimates of the quotients of the unit masses of gases introduced; and
displaying, by the system controller, the second probabilistic estimates.