Control system in a gas pipeline network to increase capacity factor

1. A system for controlling delivery of a gas comprising:

a gas pipeline network comprising at least one gas production plant, at least one gas receipt facility of a customer, a plurality of pipeline segments, and a plurality of control elements;

one or more processors configured to:

determine hydraulic feasibility of providing an increased flow rate of the gas to the gas receipt facility of the customer;

estimate a latent demand of the customer for the gas using a latent demand model which takes as inputs intrinsic and extrinsic factors, wherein the latent demand comprises a condition under which the customer would benefit from a flow rate of gas that is higher than a current consumption of gas by the customer;

receive a new customer gas flow rate request based on the hydraulic feasibility and the latent demand; and

calculate a network flow solution based on the new gas flow rate request, the network flow solution being associated with control element setpoints; and

one or more controllers receiving data describing the control element setpoints and controlling at least some of the plurality of control elements based on the data describing the control element setpoints;

wherein there are pressure limits comprising minimum and maximum pressure constraints, and

wherein determining hydraulic feasibility comprises:

linearizing a nonlinear pressure drop relationship for one or more of the plurality of pipeline segments to produce one or more linearized pressure drop relationships;

bounding a maximum error in pressure drop estimation for one or more of the plurality of pipeline segments as a maximum difference in estimated pressure drop between the linearized pressure drop relationship and the nonlinear pressure drop relationship;

bounding a maximum error in pressure estimation at one or more locations in the gas pipeline network as a function of the maximum error in pressure drop estimation for the one or more of the plurality of pipeline segments; and

using the linearized pressure drop relationships to calculate a network flow solution such that a margin between a pressure estimate produced by the linearized pressure drop relationships and a pressure limit is greater than the maximum error in pressure estimation for a location associated with a pressure limit.

2. The system of claim 1 , wherein the maximum error in pressure estimation at a node having a pressure limit is a sum of the maximum errors in pressure drop estimation for pipeline segments on an acyclic path between a pressure reference node and the node having a pressure limit.

3. The system of claim 2 , wherein the pressure reference node is a node which is incident from a pressure control element arc.

4. The system of claim 3 , wherein the acyclic path between the pressure reference node and the node having a pressure limit is found as a shortest path in a weighted directed graph.

5. The system of claim 4 , wherein the shortest path is determined using Dijkstra's algorithm.

6. The system of claim 1 , wherein the gas is hydrogen and the extrinsic factors comprise factors associated with petroleum refining.

7. The system of claim 6 , where the factors associated with petroleum refining include retail price of gasoline.

8. The system of claim 6 , where the factors associated with petroleum refining include a rate of imports of petroleum for the region in which the refinery is located.

9. The system of claim 6 , where the factors associated with petroleum refining include price of natural gas.

10. The system of claim 6 , where the factors associated with petroleum refining include a spread between the prices of sweet and sour crude.