CN110047303B - Phase sequence adjusting method for improving bandwidth of green wave band in bidirectional green wave control - Google Patents

Phase sequence adjusting method for improving bandwidth of green wave band in bidirectional green wave control Download PDF

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CN110047303B
CN110047303B CN201910485428.2A CN201910485428A CN110047303B CN 110047303 B CN110047303 B CN 110047303B CN 201910485428 A CN201910485428 A CN 201910485428A CN 110047303 B CN110047303 B CN 110047303B
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green wave
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朱国华
刘鹏
杜娟
程兰
李红芳
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Shanghai Thousand Year Urban Planning Engineering Design Co ltd
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    • G08G1/00Traffic control systems for road vehicles
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Abstract

The invention discloses a phase sequence adjusting method for improving the bandwidth of a green wave band in bidirectional green wave control, which comprises the following steps: step 1, determining phase sequences of different phases which can be set at each intersection; step 2, solving the ideal distance of the intersection controlled by the green wave; step 3, determining phase sequences of different phases of the intersection and corresponding intersection points of the green wave band central lines; step 4, solving the phase sequence of the optimal phase; and 5, obtaining the green wave control phase difference of each intersection and determining a final signal control scheme. The invention can reduce the total parking times of bidirectional vehicles on the main road at the intersection, improve the main road passing efficiency of the main road, improve the comfort degree of the driver for driving the vehicles and reduce the emission of pollutants.

Description

Phase sequence adjusting method for improving bandwidth of green wave band in bidirectional green wave control
Technical Field
The invention relates to the technical field of intersection signal control, in particular to a phase sequence adjusting method for improving the bandwidth of a green wave band in bidirectional green wave control.
Background
The green wave control, namely the main line signal coordination control, refers to a control mode of carrying out green wave operation between adjacent intersections on a main line, namely, when a vehicle passes through the continuous intersections, the number of parking times and the parking time are reduced as much as possible. A traffic control mode only considering a single advancing direction is called unidirectional green wave control, and traffic control modes considering two advancing directions, namely bidirectional green wave control, are simultaneously considered, and the bidirectional green wave control is difficult to implement compared with the unidirectional green wave control.
The bidirectional green wave control design method mainly includes a graphical method, a numerical method, a Purdy method, and a model method (Maxband method, Multiband method, etc.). The graphical method is used for determining the common signal period and the phase difference of the coordinated control system by a mapping method; the numerical solution is to find out the minimum deviation green-to-letter ratio by a numerical calculation method and solve the coordination control timing parameter; the Purdy method is a phase difference optimization design method under the condition that the period of a common signal is fixed; the Maxband method and the Multiband method are both used for realizing the optimal solution of signal timing parameters by establishing a linear programming model of the width of a green bandwidth and utilizing a mixed integer linear programming method. Coordinating the time difference of a linear control system on a time-distance graph by a graphical method, and simultaneously adjusting and determining the passing belt speed and the period duration; compared with a numerical solution method and a model method, the graphical method has the advantages of simplicity, intuition and convenient application, and is common in practical engineering application.
The green wave coordination control method is mainly suitable for intersection green wave control with a fixed phase sequence, the phase sequence bidirectional green wave coordination control design requirements are difficult to meet, and phase sequence adjustment has an important influence on the bandwidth of bidirectional green waves.
However, currently, for the phase and phase sequence adjustment in the bidirectional green wave control, it needs to be adjusted according to experience of abundant traffic signal tuning engineers, so that a phase and phase sequence adjustment method for improving the bandwidth of the green band in the bidirectional green wave control is provided, and the phase and phase sequence is adjusted by combining the double-ring phase structure and the graphical method specified in the NENA TS2 standard, so as to achieve the purpose of improving the bandwidth of the green band in the green wave control.
Disclosure of Invention
In view of the above defects in the prior art, the present invention provides a phase sequence adjustment method for improving the bandwidth of a green wave band in bidirectional green wave control, and one of the purposes achieved is to reduce the total parking times of bidirectional vehicles on an intersection of a main road and improve the main road passing efficiency of the main road.
In order to achieve the purpose, the invention discloses a phase sequence adjusting method for improving the bandwidth of a green wave band in bidirectional green wave control; the method comprises the following steps:
step 1, determining the phase mode of each intersection in the green wave control, namely determining the phase of each intersection and the common period C of the green wave controlT
Step 2, enumerating phase sequences of different phases which may be set at each intersection according to phase design rules;
step 3, according to the traveling speed of the green wave in the uplink and downlink directions, the common period CTAnd solving the ideal distance of each intersection controlled by the green wave, wherein the formula is as follows:
Figure GDA0002950263000000021
wherein TP represents the intersection point of the central lines of the green wave bands in the uplink direction and the downlink direction in the time-distance diagram;
lTPthe distance between the intersection points of the central lines of two adjacent green wave bands, namely the ideal distance of the intersection is represented by m;
v1 and V2 are the traveling speeds of the green wave in the up and down directions, respectively, and the unit is m/s;
when V1-V2-V,
Figure GDA0002950263000000022
step 4, selecting any one of the intersections as a reference intersection, solving a minimum value P of the sum of the horizontal distance between the intersection point of the green wave band center line corresponding to the different phase sequence of each intersection except the reference intersection and the intersection point of the green wave band center line corresponding to the different phase sequence of the reference intersection and the distance remainder of the ideal intersection, and determining the optimal phase sequence of each intersection according to P, wherein the calculation formula of P is as follows:
P=MIN(MinA1,MinA2,......,MinAi)
wherein i represents the number of all different phase sequences meeting the requirements of the reference intersection;
MinAithe sum of the remainders of the horizontal distance between the intersection points of the green wave band central lines corresponding to different phase sequences of other intersections except the reference intersection and the intersection of the green wave band central lines corresponding to different phase sequences of the reference intersection and the ideal intersection distance is represented;
MIN denotes MinAiMinimum value of (d);
intersection with the first intersection as reference, MinAiThe general functional formula of (a) is:
Figure GDA0002950263000000031
wherein k represents the kth intersection;
n represents the total number of the intersections;
Minkrepresenting the remainder of the horizontal distance between the intersection points of the green wave band central lines corresponding to different phase sequences of the kth intersection compared with the intersection points of the green wave band central lines corresponding to different phase sequences of the reference intersection (namely the first intersection) and the ideal intersection distance;
Minkthe calculation formula of (a) is as follows:
Mink=MOD(KTPi-ATPi,lTP)
wherein A isTPi represents the abscissa of the intersection point of the center lines of the green wave bands in different phase sequences of the reference intersection (i.e., the first intersection) on the time-distance diagram;
KTPi represents an abscissa of the intersection point of the center lines of the green wave bands at different phase sequences of the kth intersection relative to the origin of the coordinate axis on the time-distance diagram; k is 2 and K is represented by B, i.e. BTPi; when K is 3, K is represented by C, i.e. CTPi; and so on in the future;
MOD represents a remainder function;
the calculation steps of the intersection taking other intersections as the reference are the same as the steps of the calculation steps of the intersection taking other intersections as the reference, and the calculation steps are also protected by the invention;
step 5, adjusting the cycle starting time of each intersection according to the optimal phase sequence, and finding out the maximum green band bandwidth in the uplink and downlink directions through a time-distance diagram;
and 6, obtaining the green wave band bandwidth according to the time-distance graph, determining the phase difference of each intersection, and further determining the final signal control scheme.
Preferably, the phase design rule is the NEMA phase rule specified in NEMA TS 2.
Preferably, in step 5, the step of finding the maximum green band bandwidth in the uplink and downlink directions through the time-distance map is as follows:
step 5.1, in the uplink direction of the time-distance graph, taking the reciprocal of the driving speed as a slope to make a straight line I, taking the straight line I as a reference, dragging and changing the starting time of the green light at each intersection up and down in the time-distance graph, and enabling the straight line to be intersected with the green light starting time of the coordination phase;
and 5.2, drawing a straight line II by taking the inverse number of the reciprocal of the traveling speed as the slope in the downlink direction, and dragging by the same method until a green wave band with the maximum uplink and downlink directions is found.
The invention has the beneficial effects that:
the invention can reduce the total parking times of bidirectional vehicles on the main road at the intersection, improve the main road passing efficiency of the main road, improve the comfort degree of the driver for driving the vehicles and reduce the emission of pollutants.
The conception, the specific structure and the technical effects of the present invention will be further described with reference to the accompanying drawings to fully understand the objects, the features and the effects of the present invention.
Drawings
Fig. 1 shows a schematic structure of a road according to an embodiment of the invention.
FIG. 2 shows a flow chart of an embodiment of the present invention.
Figure 3 shows a NEMA phase structure diagram for use in accordance with an embodiment of the invention.
Fig. 4 shows the phase pattern of each intersection according to an embodiment of the present invention.
Fig. 5 shows the phase sequence at the first intersection according to an embodiment of the present invention.
Fig. 6 shows the optimal phase sequence at each intersection according to an embodiment of the present invention.
Fig. 7 shows the intersection point of the center lines of the green wave bands corresponding to the optimal phase sequence at each intersection according to an embodiment of the present invention.
FIG. 8 shows a time-distance diagram of an embodiment of the present invention.
Detailed Description
Examples
As shown in fig. 1, a trunk road is taken as an example to describe a phase-sequence adjusting method for improving the bandwidth of the green band in the bidirectional green wave control. The distance between each intersection in the main road is short, the traffic interference is small, and the method is suitable for 7 intersections controlled by two-way green waves.
Determining the phase of intersection signal control according to the traffic flow and the type of the intersection, calculating a single-point signal timing scheme according to the channelized condition and the traffic flow of the intersection, taking the maximum period of 100s as a public period, taking the intersection as a key intersection, and adjusting the display time of each phase by taking the intersection as a reference by other intersections.
The data such as the distance between 7 intersections, the width of each intersection, the average speed of a road section, the public cycle and the like are specifically as follows:
Figure GDA0002950263000000051
from the above data, time-distance graphs (fig. 7, 8) can be drawn in conjunction with the crossing phase sequence described below. The traditional phase sequence design method is inflexible, and the NEMA double-ring phase structure specified in NEMA TS2 is introduced to design the phase sequence of the intersection phase, so that the flexibility of phase sequence design is effectively improved.
As shown in fig. 3, in the NEMA dual-loop phase structure, it is specified that the phase group consisting of 1, 2, 5, and 6 and the phase group consisting of 3, 4, 7, and 8 are separated by an "isolation line", i.e., the phases 2 and 6 must be simultaneously ended, and the phases 3 and 7 must be simultaneously granted right. In general, phase group 1 is assigned to the primary leg and phase group 2 is assigned to the secondary leg.
Ring 1 consists of phases 1-2-3-4 and ring 2 consists of phases 5-6-7-8. The existence of the isolation line can avoid the conflict phases on different control rings at two sides of the isolation line from starting at the same time.
On both sides of the isolation line, the phase selection between the two control loops should be noted two points: (1) the phases on the same control loop are conflicting and cannot operate simultaneously; (2) the phases on different control loops on one side of the isolation line can be run simultaneously.
By adopting the NEMA double-ring phase structure, the phase sequence can be flexibly designed on the premise of ensuring the two points, and convenience is provided for the intersection to adopt different release modes.
Adjusting the phase sequence of each intersection to ensure that the sum of the horizontal distance between the intersection points of the green wave band central lines of different intersections compared with the reference intersection and the ideal intersection distance remainder is the minimum, namely the optimal phase sequence; and determining the phase difference of each intersection in the green wave control based on the optimal phase sequence according to the time-distance diagram.
As shown in fig. 2, the process comprises the following steps:
step 1, determining phase modes of 7 intersections in green wave control, and referring to fig. 4;
step 2, enumerating various phase sequences meeting the requirements of each intersection in green wave control;
phase passing preferably lists the phase sequence for the crossings by NEMA phases specified in NEMA TS 2. Taking the first intersection as an example, the influence of the phase-phase sequence setting mode and different phase-phase sequence setting modes on the position of the intersection point of the green wave band central lines of the intersection will be described. As shown in fig. 5, five possible phase sequence setting manners a, b, c, d, and e at the first intersection, but the trunk direction straight-going and left-turning green light display time must be the same in the two phase sequence setting manners d and e, and the intersection does not meet the requirement, so that the setting manner that the phase sequence at the first intersection is three phase sequence a, b, and c meets the requirement. The phases at the second to seventh intersections are determined according to the same method.
Step 3, solving the ideal distance of the intersection controlled by the green wave, wherein the formula is as follows:
Figure GDA0002950263000000061
TP is the intersection point of the central lines of the green wave bands in the up and down directions in the time-distance diagram;
lTPis the distance between two adjacent green band centerline intersections in units of (m);
v1 and V2 are the traveling speeds of the green waves in the up and down directions, respectively, and the unit (m/s);
when V1-V2-V,
Figure GDA0002950263000000062
in this embodiment, the speed V1 is 12.5m/s when V2 is 12.5m/s, and the period C is 100s, so the ideal intersection distance l is obtainedTP=625m。
Step 4, determining green wave band center line intersection points corresponding to different phase sequences which can be set at each intersection, and solving the phase sequence green wave band center line intersection points of different intersections compared with the reference intersectionThe minimum value of the sum of the horizontal distance between the intersection points of the central lines of the green wave bands of the phase sequence of the fork and the distance remainder of the ideal intersection is as follows: taking a starting intersection controlled by green waves as a reference intersection (a first intersection, and taking a green wave band center line intersection point of the phase sequence of the first intersection as a reference point), and calculating the horizontal distance between the green wave band center line intersection point and the reference point of the center line intersection point under different phases of other intersections (numbered from the second intersection to the seventh intersection in sequence); setting three phase sequences corresponding to the first intersection of the reference and meeting the requirements as AP1、AP2、AP3, the datum point of the intersection point of the central lines of the green wave bands corresponding to the phase sequence of each phase is ATP1、ATP2、ATP3; the phase sequence corresponding to other intersections is BPi,CPi,DPi,EPi,FPi,GPi; the intersection point of the central lines of the corresponding green wave bands is BTPi,CTPi,DTPi,ETPi,FTPi,GTPAnd i in the intersection points of the phase sequences of other intersections and the corresponding green wave band center lines represents the number of the phase sequences meeting the requirements.
Step 4.1, according to AP1 corresponds to ATP1, determining phase sequences of second to seventh intersections; sequentially calculating the horizontal distance difference between the intersection point of the central lines corresponding to the phase sequences of the phases of other intersections and the reference point of the intersection point of the central line of the first intersection, and calculating the ideal distance l between the distance difference and the intersectionTPGet the rest when the sum is 625m to obtain MinA1
MinB=MOD(BTPi-ATP1,lTP)
MinC=MOD(CTPi-ATP1,lTP)
MinD=MOD(DTPi-ATP1,lTP)
MinE=MOD(ETPi-ATP1,lTP)
MinF=MOD(FTPi-ATP1,lTP)
MinG=MOD(GTPi-ATP1,lTP)
MinA1=MinB+MinC+MinD+MinE+MinF+MinG
Step 4.2, repeating step 4.1, and solving A in sequence TP2、A TP3, determining the phase sequence of the second to seventh intersections to obtain MinA2、MinA3
Step 4.3, get MinA1、MinA2、MinA3A minimum value of P;
P=MIN(MinA1、MinA2、MinA3)
then, according to the phase sequence corresponding to the minimum value P and the optimal phase sequence at each intersection, the optimal phase sequence in this embodiment is shown in fig. 6, and the intersection point of the center lines corresponding to the optimal phase sequences at each intersection is shown in fig. 7.
Step 5, the method for determining the phase difference comprises the following steps:
step 5.1, changing the cycle starting time of each intersection, and finding out the maximum green band bandwidth in the uplink and downlink directions; drawing a straight line representing the band velocity of the green wave band in the ascending direction, wherein the slope of the straight line is the reciprocal of the average vehicle speed, and dragging the straight line up and down on a time-distance graph to change the starting time of green lights at each intersection so that the straight line is intersected with the green light starting time of the coordination phase; drawing a straight line representing the belt speed in the downlink direction, and adjusting in the same way until a green wave band with the maximum uplink and downlink directions is found; a time-distance map is obtained, see fig. 8.
And 5.2, reading the bandwidth and the phase difference of the green wave band, calculating the bandwidth of the green wave band according to the time-distance graph, determining the phase difference of each intersection, and further determining a final signal control scheme.
Figure GDA0002950263000000081
According to the table, the bandwidth of the green band in the uplink direction is 38%, and the bandwidth availability of the green band is 100%; the bandwidth of the green wave band in the downlink direction is 30%, and the bandwidth accessibility of the green wave band is 79%.
The foregoing detailed description of the preferred embodiments of the invention has been presented. It should be understood that numerous modifications and variations could be devised by those skilled in the art in light of the present teachings without departing from the inventive concepts. Therefore, the technical solutions available to those skilled in the art through logic analysis, reasoning and limited experiments based on the prior art according to the concept of the present invention should be within the scope of protection defined by the claims.

Claims (3)

1. A phase sequence adjusting method for improving the bandwidth of a green wave band in bidirectional green wave control; the method comprises the following steps:
step 1, determining the phase mode of each intersection in the green wave control, namely determining the phase of each intersection and the common period C of the green wave controlT
Step 2, enumerating phase sequences of different phases which may be set at each intersection according to phase design rules;
step 3, according to the traveling speed of the green wave in the uplink and downlink directions, the common period CTAnd solving the ideal distance of each intersection controlled by the green wave, wherein the formula is as follows:
Figure FDA0002950262990000011
wherein TP represents the intersection point of the central lines of the green wave bands in the uplink direction and the downlink direction in the time-distance diagram;
lTPthe distance between the intersection points of the central lines of two adjacent green wave bands, namely the ideal distance of the intersection is represented by m;
v1 and V2 are the traveling speeds of the green wave in the up and down directions, respectively, and the unit is m/s;
when V1-V2-V,
Figure FDA0002950262990000012
step 4, selecting any one of the intersections as a reference intersection, solving a minimum value P of the sum of the horizontal distance between the intersection point of the green wave band center line corresponding to the different phase sequence of each intersection except the reference intersection and the intersection point of the green wave band center line corresponding to the different phase sequence of the reference intersection and the distance remainder of the ideal intersection, and determining the optimal phase sequence of each intersection according to P, wherein the calculation formula of P is as follows:
P=MIN(MinA1,MinA2,......,MinAi)
wherein i represents the number of all different phase sequences meeting the requirements of the reference intersection;
MinAithe sum of the horizontal distance between the intersection point of the green wave band central lines corresponding to different phase sequences of other intersections except the reference intersection and the intersection distance remainder of the green wave band central lines corresponding to different phase sequences of the reference intersection is represented;
MIN denotes MinAiMinimum value of (d);
intersection with the first intersection as reference, MinAiThe general functional formula of (a) is:
Figure FDA0002950262990000013
wherein k represents the kth intersection;
n represents the total number of the intersections;
Minkrepresenting the remainder of the horizontal distance between the intersection point of the green wave band central lines corresponding to the different phase and phase sequences of the kth intersection and the ideal intersection distance between the intersection point of the green wave band central lines corresponding to the different phase and phase sequences of the first intersection compared with the reference intersection;
Minkthe calculation formula of (a) is as follows:
Mink=MOD(KTPi-ATPi,lTP)
wherein A isTPi denotes the center of the green wave band in the time-distance diagram at different phase sequences of the reference intersection, i.e. the first intersectionThe abscissa of the line intersection;
KTPi represents an abscissa of the intersection point of the center lines of the green wave bands at different phase sequences of the kth intersection relative to the origin of the coordinate axis on the time-distance diagram; k is 2 and K is represented by B, i.e. BTPi; when K is 3, K is represented by C, i.e. CTPi; and so on in the future;
MOD represents a remainder function;
step 5, adjusting the cycle starting time of each intersection according to the optimal phase sequence, and finding out the maximum green band bandwidth in the uplink and downlink directions through a time-distance diagram;
and 6, obtaining the green wave band bandwidth according to the time-distance graph, determining the phase difference of each intersection, and further determining the final signal control scheme.
2. The method of claim 1, wherein the phase design rule is a NEMA phase rule specified in NEMA TS 2.
3. The method of claim 1, wherein in the step 5, the step of finding the maximum green band bandwidth in the uplink and downlink directions from the time-distance map comprises:
step 5.1, in the uplink direction of the time-distance graph, taking the reciprocal of the driving speed as a slope to make a straight line I, taking the straight line I as a reference, dragging and changing the starting time of the green light at each intersection up and down in the time-distance graph, and enabling the straight line to be intersected with the green light starting time of the coordination phase;
and 5.2, drawing a straight line II by taking the inverse number of the reciprocal of the traveling speed as the slope in the downlink direction, and dragging by the same method until a green wave band with the maximum uplink and downlink directions is found.
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