$match _id is not working in Mongoose aggregate function - node.js

Question

As my title, $match _id is not working in Mongoose aggregate function.
Could somebody please help me?
Is this related to mongoose version?
I use 4.9.2.
I need to use aggregate because I will group by the result after processing the $match.
I already saw posts before, but manually casting didn't work for me!
Here is my schema:
var mongoose = require("mongoose");
var moment = require("moment");
var Schema = mongoose.Schema;
var AvgDailyCharging = new Schema({
_id : {
date: Date,
storeID: {
type: Schema.Types.ObjectId,
ref: 'store'
}
},
chargers: [{
transmitterID: {
type: Schema.Types.ObjectId,
ref: 'device'
},
minutes: Number
}],
});
mongoose.model('AvgDailyCharging', AvgDailyCharging);
And here is the query:
var Mongoose = require('mongoose');
var Model = require('../db/model');
var Query = require('../db/query');
var RESULT_LIMIT = 2000; // Limit the return data size
exports.getAvgDailyCharging = function(req, res) {
var id = new Mongoose.Types.ObjectId("58b43fdf0fd53910121ca6f4");
var query = new Query("AvgDailyCharging");
query.aggregate([
{
$match: {
"_id.storeID": id, //HELP!!!!!
"_id.date": { //match only by this works fine.
$gte: new Date(req.params.startTime),
$lt: new Date(req.params.endTime)
}
}
}
]).exec(function(error, data) {
if (error) {
res.send({result:'ERROR', message: error});
} else {
res.send(data);
}
});
}
Please help me!!!! I was stuck for several hours! Q_Q

Answer 1

When I was testing in mongoose version 4.4.4, both type casting and string didn't work. However, after I update it to the version 4.9.2, type casting is no needed, and directly using a string in $match _id works!
Update:2017-03-31
I think another problem in my scenario is my schema definition. Since this collection, say A, is created from another one, say B, using $group: { _id: { storeID: "$storeID" } } where the storeID field in collection B is of type ObjectId, then in collection A I find out that _id.store is actually a String not an ObjectId, so the best way is to change the schema I mentioned in the question to:
var AvgDailyCharging = new Schema({
_id : {
date: Date,
storeID: String
},
chargers: [{
transmitterID: {
type: Schema.Types.ObjectId,
ref: 'device'
},
minutes: Number
}],
});