EP0467377A2 — Method of producing a train running plan

Claim 1

Independent Claim 180 words

A method of producing a train running plan in which a running plan is produced so as to make a train run through a predetermined territory of a traffic route of a railway while maintaining a predetermined limit speed (Vmax) and running time, said method comprising the steps of: (a) setting a target speed of the running train every small territory a plurality of which are obtained by dividing the predetermined territory thereinto and have the respective fixed limit speeds; (b) obtaining a consumed energy and a running time of the train so that the train runs at the fixed speed in accordance with the target speed, every small territory, after accelerating the train in the acceleration by the maximum accelerating force or decelerating the train in the deceleration by the maximum decelerating force (Step 104); and (c) setting the target speeds of all the small territories in the predetermined territory in such a way that the train runs in a predetermined running time and the consumed energy becomes minimum, by repeating the Step (a) and Step (b) (Step 110).

Claim 2

Independent Claim 180 words

A method of producing a train running plan in which a running plan is produced so as to make a train run through a predetermined territory of a traffic route of a railway while maintaining a predetermined limit speed (Vmax) and running time, said method comprising the steps of: (a) setting a target speed of the running train every small territory a plurality of which are obtained by dividing the predetermined territory thereinto and have the respective fixed limit speeds; (b) obtaining a consumed energy and a running time of the train so that the train runs at the fixed speed in accordance with the target speed, every small territory, after accelerating the train in the acceleration by the maximum accelerating force or decelerating the train in the deceleration by the maximum decelerating force (Step 104); and (c) setting the target speeds of all the small territories in the predetermined territory in such a way that the train runs in a predetermined running time and the consumed energy becomes minimum, by repeating the Step (a) and Step (b) (Step 110).

Claim 3

Dependent Claim 69 words

A method of producing a train running plan according to Claim 1, wherein the running time (T) and the consumed energy (E) of the train in the predetermined territory are obtained on the basis of an initial speed when the train enters into the predetermined territory, predetermined grade information, a running resistance of the train, acceleration and deceleration characteristics of the train and a weight (M) of the train.

Claim 4

Dependent Claim 77 words

A method of producing a train running plan according to Claim 1, wherein the consumed energy (E) is made to be an objective function (E) which is expressed by an equation of E = E(V i , ..., V N ) where the individual target speeds are independent variables (Vi, ..., V N ), and the target speed (Vn) of the predetermined territory is obtained by solving the above equation on the basis of a nonlinear planning.

Claim 5

Dependent Claim 91 words

A method of producing a train running plan according to Claim 3, wherein the consumed energy (E) and the running time (T) are made to be objective functions (E) which are expressed by equations of E = E(Vi, ..., V N ) and T = T(Vi, ..., V N ) in each of which the individual target speeds (Vn) are independent variables (Vi, ..., V N ), and the target speed (Vn) of the predetermined territory is obtained by solving both the above equations on the basis of a nonlinear planning.

Claim 6

Dependent Claim 75 words

A method of producing a train running plan according to Claim 3 or 4, wherein the nonlinear planning is such that when the consumed energy and the target speed are expressed by E and V(n), respectively, a differential coefficient is obtained from an approximate expression of aE/aV(n) ≒ AE/AV(n), and when V(n) is changed in the range of 0 ≦ V(n) < Vmax(n), V(n) becomes an optimal target speed where E takes a minimum value.

Claim 7

Independent Claim 266 words

A method of producing a train running plan in which a running plan is produced so as to make a train run through a predetermined territory of a traffic route of a railway while maintaining a predetermined limit speed (Vmax) and running time, said method comprising the steps of: (a) setting a target speed of the running train every small territory a plurality of which are obtained by dividing the predetermined territory thereinto and have the respective fixed limit speeds; (b) obtaining a consumed energy and a running time of the train so that the train runs at the fixed speed in accordance with the target speed, every small territory, after acclerating the train in the acceleration by the maximum accelerating force or decelerating the train in the deceleration by the maximum decelerating force (Step 104a); (c) fixing the target speeds of other small territories when the target speed of one small territory in the predetermined territoty is changed, to obtain a consumed energy in the target speed of the one small territory obtained in Step (a) (Step 104a); (d) obtaining the change ratio of the consumed energy obtained in the step (c) and a consumed energy due to the change of the target speed of the one small territory; and (e) setting the target speeds of all the small territories in the predetermined territory in such a way that the train runs in a predetermined running time on the basis of the change ratio of the consumed energy, and the consumed energy becomes minimum, by repeating the Step (a) through the Step (d) (Step 110a).

Claim 8

Independent Claim 266 words

A method of producing a train running plan in which a running plan is produced so as to make a train run through a predetermined territory of a traffic route of a railway while maintaining a predetermined limit speed (Vmax) and running time, said method comprising the steps of: (a) setting a target speed of the running train every small territory a plurality of which are obtained by dividing the predetermined territory thereinto and have the respective fixed limit speeds; (b) obtaining a consumed energy and a running time of the train so that the train runs at the fixed speed in accordance with the target speed, every small territory, after acclerating the train in the acceleration by the maximum accelerating force or decelerating the train in the deceleration by the maximum decelerating force (Step 104a); (c) fixing the target speeds of other small territories when the target speed of one small territory in the predetermined territoty is changed, to obtain a consumed energy in the target speed of the one small territory obtained in Step (a) (Step 104a); (d) obtaining the change ratio of the consumed energy obtained in the step (c) and a consumed energy due to the change of the target speed of the one small territory; and (e) setting the target speeds of all the small territories in the predetermined territory in such a way that the train runs in a predetermined running time on the basis of the change ratio of the consumed energy, and the consumed energy becomes minimum, by repeating the Step (a) through the Step (d) (Step 110a).

Claim 9

Dependent Claim 141 words

A method of producing a train running plan according to Claim 6, wherein the Step (c) comprises: (Ci) obtaining the change ratio of the consumed energy, every small territory, with the change ratio of the consumed energy being treated as the positive one, in the case where the consumed energy is decreased while the running time is increased with the target speed initially set in the Step (a) being treated as the limit speed (Step 104a); (C 2 ) reducing the target speed of the territory where the resultant change ratio of the consumed energy takes the maximum value, by unit quantity (Step 110a); and (C 3 ) treating the target speed reduced by unit quantity in the Step (C 2 ) as a new target speed (Step 108a), when the running time is in a predetermined error range (Step 107a).

Claim 10

Dependent Claim 60 words

A method of producing a train running plan according to Claim 7, wherein the Step (C 2 ) includes therein the process of treating the value of the change ratio of the consumed energy obtained every small territory as a vector quantity to change the target speed as the vector quantity along the direction of the vector by unit quantity.

Claim 11

Dependent Claim 86 words

A method of producing a train running plan according to Claim 7, wherein the Step (C 2 ) includes therein the process of treating the value of the change ratio of the consumed energy obtained every small territory as a vector quantity and of changing a component of the vector quantity of the small territory to "0" if the component of the vector quantity is negative, thereby to change the target speed as the vector quantity along the direction of the changed vector by unit quantity.

Claim 12

Dependent Claim 49 words

A method of producing a train running plan according to Claim 7, wherein the Step (C 2 ) includes therein the process of decreasing the unit quantity for changing the target speed, when the running time of the train in the predetermined small territory approaches a predetermined running time.

Claim 13

Independent Claim 199 words

A method of producing a train running plan in which a running plan is produced so as to make a train run through a predetermined territory of a traffic route of a railway while maintaining a predetermined limit speed and first running time, said method comprising the steps of: (a) producing in advance the data of a speed of the train, an inverse number of the speed and a running time with respect to a travel distance from an acceleration starting position up to a position at a predetermined travel distance therefrom and the data of a speed of the train, an inverse number of the speed and a running time with respect to a travel distance from an deceleration starting position up to a position at a predetermined travel distance therefrom, under the condition that the grade of the traffic route is "0" in all the positions; (b) obtaining a running time of the predetermined territory from the data produced in advance, when the running plan is corrected (Step 107b); and (c) correcting the running plan in such a way that the resultant running time in coincidence with the value of the predetermined first running time (Step 108b).

Claim 14

Independent Claim 199 words

A method of producing a train running plan in which a running plan is produced so as to make a train run through a predetermined territory of a traffic route of a railway while maintaining a predetermined limit speed and first running time, said method comprising the steps of: (a) producing in advance the data of a speed of the train, an inverse number of the speed and a running time with respect to a travel distance from an acceleration starting position up to a position at a predetermined travel distance therefrom and the data of a speed of the train, an inverse number of the speed and a running time with respect to a travel distance from an deceleration starting position up to a position at a predetermined travel distance therefrom, under the condition that the grade of the traffic route is "0" in all the positions; (b) obtaining a running time of the predetermined territory from the data produced in advance, when the running plan is corrected (Step 107b); and (c) correcting the running plan in such a way that the resultant running time in coincidence with the value of the predetermined first running time (Step 108b).

Claim 15

Dependent Claim 33 words

A method of producing a train running plan according to claim 11, wherein the data produced in the Step (a) in obtained by numerically integrating the equation of motion of the running train.

Claim 16

Dependent Claim 51 words

A method of producing a train running plan according to Claim 11, wherein the processing in the Step (b) is performed in the individual small territories which are located in the forward direction from the present position of the train and have the respective fixed limit speeds (Step 105b, Step 107b).

Claim 17

Dependent Claim 120 words

A method of producing a train running plan according to Claim 1, wherein the processing in the Step (c) comprises: (c 11 ) setting each of target speeds of the small territories which are located forward up to the (n-1 )th from the present position of the train and have the respective fixed limit speeds set thereto, to the limit speed (Step 109b); (d2) setting a target speed of the n-th small territory having a fixed limit speed set thereto as an unknown variable; and (C13) obtaining the unknown variable in such a way that the running time of the predetermined territory obtained in the Step (b) is in coincidence with a value of a predetermined running time (Step 107b).

Claim 18

Dependent Claim 106 words

A method of producing a train running plan according to Claim 11, wherein the processing in the Step (c) comprises: (C21) setting a target speed of the (n + 1)th small territory having a fixed limit speed set thereto to the limit speed (Step 109b); (c 22 ) setting a target speed of the n-th small territory having a fixed limit speed set thereto as an unknown variable; and ( C23 ) obtaining the unknown variable in such a way that the running time of the predetermined territory obtained in the Step (b) is in coincidence with a value of a predetermined running time (Step 107b).

Claim 19

Dependent Claim 76 words

A method of producing a train running plan according to Claim 11, wherein the processing in the Step (c) is performed in such a way that in the case of absence of the (n + 1)th small territory having a fixed limit speed set thereto, each of the remaining small territories having respective fixed limit speeds set thereto is set to a limit speed at which the train may run through the small territory (step 109b).

Method of producing a train running plan

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