File size: 5,967 Bytes
b14fa47
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
function [swashCtrlIdeal, swashCtrlTable,ax_sw] = cvtCalcSwashControl(...
    tgtVSpdRanges,rWhl,nGearCVTOut,nDiff,nFinalDrive,wEng,wPumpNom,...
    nHSPumpMotor,tgtMaxSwash,nTRing,nTSuns,nGearHSOut,pumpVolEff,showplot,varargin)
% Calculates the table for controlling the hydrostatic pump
% displacement based on target vehicle speed.
%
%   tgtVSpdRanges   Target vehicle speed ranges for transmission (km/h)
%   rWhl            Radius of wheel (m)
%   nGearCVTOut     Gear ratio after CVT output
%   nDiff           Ratio of differential
%   nFinalDrive     Ratio of wheel hub planetary gear
%   wEng            Engine target speed
%   wPumpNom        Pump nominal speed
%   nHSPumpMotor    Ratio (Hydrostatic Pump Displacement/
%                         Hydrostatic Motor Displacement)
%   tgtMaxSwash     Target max displacement ratio of pump swash plate (0-1)
%   nTRing          Number of teeth on planetary ring gears (all)
%   nTSuns          Vector 1x4 number of teeth on sun gear for each planetary
%   nGearHSOut      Gear ratio at output of hydrostatic transmission
%   pumpVolEff      Hydrostatic pump volumetric efficiency
%   showplot        Set to 'plot' to plot swash control table

% Copyright 2023-2026 The MathWorks, Inc.

%% Calculate ratio (CVT output shaft/Vehicle Speed) (rpm/kmph)
vWhl2CVTOut = 1/(3.6*rWhl*pi/30)*nGearCVTOut*nDiff*nFinalDrive;

%% Obtain design
% Get ratio wSun-to-wCVT Out when engine is not spinning
% Use this to calculate slope for intersection points
nSun1CVTOut_e0s1  = cvtGetCVTOutputSpeeds(0,1,nTRing,nTSuns);
slopeCVTCtrl = nSun1CVTOut_e0s1*...
    (nHSPumpMotor)*1/(nGearHSOut)*wPumpNom/wEng;

% Get ratio wEng-to-wCVT_Out when swash is 0
% Use to obtain midpoint of each speed segment
nEng2CVTOut_Sw0 = cvtGetCVTOutputSpeeds(1,0,nTRing,nTSuns);

% Convert desired vehicle speed ranges to ratio wEng-to-CVT Output speed
tgtCVTRatios = tgtVSpdRanges*vWhl2CVTOut/wEng;

% Assemble speed segment lines
for i = 1:length(nEng2CVTOut_Sw0)
    ratioSeg(i,2) = nEng2CVTOut_Sw0(i);            % Midpoint
    ratioSeg(i,1) = nEng2CVTOut_Sw0(i)-slopeCVTCtrl(i); % Lower ratio
    ratioSeg(i,3) = nEng2CVTOut_Sw0(i)+slopeCVTCtrl(i); % Higher ratio
end

% Find points of intersection
swas0 = -nEng2CVTOut_Sw0(1)/slopeCVTCtrl(1);
cvtr0 =  nEng2CVTOut_Sw0(1)+slopeCVTCtrl(1)*swas0;

for i = 1:(length(nEng2CVTOut_Sw0)-1)
    swas(i) = (nEng2CVTOut_Sw0(i+1)-nEng2CVTOut_Sw0(i))/...
        (slopeCVTCtrl(i)-slopeCVTCtrl(i+1));
    cvtr(i) = nEng2CVTOut_Sw0(i)+slopeCVTCtrl(i)*swas(i);
end

swas5 = (tgtCVTRatios(end)-nEng2CVTOut_Sw0(end))/slopeCVTCtrl(end);
cvtr5 = nEng2CVTOut_Sw0(end)+swas5*slopeCVTCtrl(end);

% Assemble ideal values into table
swasPts = [swas0 swas swas5];
cvtrPts = [cvtr0 cvtr cvtr5];
swashCtrlIdeal  = [swasPts' cvtrPts'];

%% Calculate Table
% To smooth transitions and account for volumetric efficiency,
% and add offsets at transitions.
yOff = 5e-5;
swashCtrlTable = [swashCtrlIdeal(1,:);...
    0 nEng2CVTOut_Sw0(1);...
    swashCtrlIdeal(2,1)/pumpVolEff swashCtrlIdeal(2,2)-yOff;...
    swashCtrlIdeal(2,1)*pumpVolEff swashCtrlIdeal(2,2)+yOff;...
    0 nEng2CVTOut_Sw0(2);...
    swashCtrlIdeal(3,1)/pumpVolEff swashCtrlIdeal(3,2)-yOff;...
    swashCtrlIdeal(3,1)*pumpVolEff swashCtrlIdeal(3,2)+yOff;...
    0 nEng2CVTOut_Sw0(3);...
    swashCtrlIdeal(4,1)/pumpVolEff swashCtrlIdeal(4,2)-yOff;...
    swashCtrlIdeal(4,1)*pumpVolEff swashCtrlIdeal(4,2)+yOff;...
    0 nEng2CVTOut_Sw0(4);...
    swashCtrlIdeal(5,:)];

if(strcmpi(showplot,'plot'))
    if(nargin==14)
        % Reuse figure if it exists, else create new figure
        figString = 'h1_CVT_Ratios';
        % Only create a figure if no figure exists
        figExist = 0;
        fig_hExist = evalin('base',['exist(''' figString ''')']);
        if (fig_hExist)
            figExist = evalin('base',['ishandle(' figString ') && strcmp(get(' figString ', ''type''), ''figure'')']);
        end
        if ~figExist
            fig_h = figure('Name',figString);
            assignin('base',figString,fig_h);
        else
            fig_h = evalin('base',figString);
        end
        figure(fig_h)
        clf(fig_h)
        ax_sw = gca;
    elseif(nargin==15)
        ax_sw = varargin{1};     % Use axis handle if provided
        cla(ax_sw)
    end

    ax_sw.XAxisLocation = 'origin';
    ax_sw.YAxisLocation = 'origin';

    %% Plot desired corners of swash plate control
    l_h(1) = plot(ax_sw,[-1 1 -1 1 -1]*tgtMaxSwash,tgtCVTRatios*wEng/vWhl2CVTOut,'r',...
        'Marker','square','MarkerSize',12, 'MarkerFaceColor',[1 0.8 0.8],...
        'DisplayName','Target','Tag','Target');
    hold(ax_sw,'on');
    hold(ax_sw,'off');
    hold(ax_sw,'on');
    l_h(2) = plot(ax_sw,swasPts,cvtrPts*wEng/vWhl2CVTOut,'b-o','LineWidth',2,...
        'DisplayName','Control Map','Tag','Control');
    for i = 1:size(ratioSeg,1)
        l_h(3) = plot(ax_sw,[-1 0 1],ratioSeg(i,:)*wEng/vWhl2CVTOut,'--o','Color',[0.6 0.6 0.6],...
            'DisplayName','Possible','Tag','Possible');
    end
    hold(ax_sw,'off');

    ax_sw.YAxisLocation = 'origin';

    axXLims = get(ax_sw,'XLim');
    set(ax_sw,'XLim',[-1 1]*max([abs(axXLims) 1.1]));

    maxy = max([cvtrPts max(ratioSeg,[],'all') tgtCVTRatios]);
    set(ax_sw,'YLim',[0 maxy]*wEng/vWhl2CVTOut*1.1);

    patch(ax_sw,[-1 -[1 1]*max([abs(axXLims) 1.1]) -1],[0 0 1 1]*38,[1 1 1]*0.6,'FaceAlpha',0.3,'EdgeColor','none');
    patch(ax_sw,[ 1  [1 1]*max([abs(axXLims) 1.1])  1],[0 0 1 1]*38,[1 1 1]*0.6,'FaceAlpha',0.3,'EdgeColor','none');

    ylabel(ax_sw,'Vehicle Speed (km/h)')
    xlabel(ax_sw,'Displacement Ratio Hydrostatic Pump (0-1)')

    title(ax_sw,'Swash Plate Ratio by Speed Range')
    legend(ax_sw,l_h,'Location','West')
    box(ax_sw,'on')
    if(nargin<15)
        sm_cvt_power_split_pg_4range_animate_format(ax_sw);
    end
end